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EXPERIMENTAL INVESTIGATION OF THERMAL CONDUCTIVITY OF THE METAL
ROD
MADE BY:-
Patel Dhrumil.
ABSTRACT
• Heat transfer is one of the important phenomena in any mechanical device. This report describes the heat
transfer fundamentals and its characteristics. This project is about the experimental investigation of
thermal conductivity of metal rod. In the experimental investigation different operational parameters like:
temperature difference, voltage, ampere, watt will be study to know the thermal conductivity of copper
rod.
TABLE CONTAINS
• Certificate (2)
• Acknowledgement (3)
• Abstract (4)
• Table contents (5)
• List of figures (7)
• Chapter Topics Page No
• 1. Introduction. (9)
• 1.1.1 Heat transfer (9)
• 1.1.2 Conduction (9)
• 1.1.3 Convection (9)
• 1.1.4 Radiation. (10)
• 1.1.5 Thermal conductivity (11)
• 2. Literature review (12)
• 2.1.1 Thermal conductivities of different types of metals. (12)
• 2.1.2 Parameter affecting thermal conductivity (15)
• 3. Experimental Set Up (16)
• 3.1.1 Block Diagram (16)
• 3.1.2 Experimental Procedure (17)
• 3.1.3 Specification (18)
• 3.1.4 Components Used (19)
• 3.1.5 Copper Rod. (20)
• 3.1.6 M.s cylinder. (21)
• 3.1.7 Temperature Meter. (22)
• 3.1.8 Temperature Sensor. (23)
• 3.1.9 Nichrome wire heater. (25)
• 3.1.10 Digital Volt Meter (27)
• 3.1.11 Digital Ampere Meter (28)
• 3.1.12 Dimmerstat. (29)
• 3.1.13 Application (30)
List of figures
• No. Figures Page no.
• 1. Copper Rod (18)
• 2. M.s Cylinder. (19)
• 3. Temperature Meter (20)
• 4. Temperature sensor (21)
• 5. Nicrome wire Heater (23)
• 6. Digital volt Meter (24)
• 7. Digital Ampere Meter (25)
• 8. Dimmerstat (variac) (26)
• 9. Block diagram (27)
LIST OF TABLES
• NO. TOPIC PAGE NO
• 1. Thermal conductivity of different metals. (12).
• 2. Different material of wire heater. (22).
CHAPTER 1
INTRODUCTION
• 1.1.1 Introduction to heat transfer?
• Heat transfer ,also referred to simply as heat, is the movement of thermal energy from one thing to
another thing of different temperature. there are three diffrent ways the heat can transfer conduction,
convection and radiation.
1.1.2 Conduction
• On a microscopic scale, heat conduction occurs as hot, rapidly moving or vibrating atoms and molecules
interact with neighboring atoms and molecules, transferring some of their energy (heat) to these
neighboring particles. In other words, heat is transferred by conduction when adjacent atoms vibrate
against one another, or as electrons move from one atom to another. Conduction is the most significant
means of heat transfer within a solid or between solid objects in thermal contect Fluids—especially
gases—are less conductive. Thermal contact conductance is the study of heat conduction between solid
bodies in contact. The process of heat transfer from one place to another place without the movement of
particles is called conduction. Example: Heat transfer through Metal rods. Steady state conduction is a
form of conduction that happens when the temperature difference driving the conduction is constant, so
that after an equilibration time, the spatial distribution of temperatures in the conducting object does not
change any further. In steady state conduction, the amount of heat entering a section is equal to amount
of heat coming out.
• Transient conduction occurs when the temperature within an object changes as a function of time.
Analysis of transient systems is more complex and often calls for the application of approximation theories
or numerical analysis by computer.
1.1.3 Convection
• The flow of fluid may be forced by external processes, or sometimes (in gravitational fields) by buoyancy
forces caused when thermal energy expands the fluid (for example in a fire plume), thus influencing its
own transfer. The latter process is often called "natural convection". All convective processes also move
heat partly by diffusion, as well. Another form of convection is forced convection. In this case the fluid is
forced to flow by using a pump, fan or other mechanical means.
• Convective heat transfer, or convection, is the transfer of heat from one place to another by the
movement of fluids, a process that is essentially the transfer of heat via mass transfer. Bulk motion of fluid
enhances heat transfer in many physical situations, such as (for example) between a solid surface and the
fluid.[10] Convection is usually the dominant form of heat transfer in liquids and gases. Although sometimes
discussed as a third method of heat transfer, convection is usually used to describe the combined effects
of heat conduction within the fluid (diffusion) and heat transference by bulk fluid flow streaming.[11] The
process of transport by fluid streaming is known as advection, but pure advection is a term that is
generally associated only with mass transport in fluids, such as advection of pebbles in a river. In the case
of heat transfer in fluids, where transport by advection in a fluid is always also accompanied by transport
via heat diffusion (also known as heat conduction) the process of heat convection is understood to refer to
the sum of heat transport by advection and diffusion/conduction.
1.1.4 Radiation.
• Thermal radiation occurs through a vacuum or any transparent medium (solid or fluid). It is the transfer of
energy by means of photons in electromagnetic waves governed by the same laws.
• Thermal radiation is energy emitted by matter as electromagnetic waves, due to the pool of thermal
energy in all matter with a temperature above absolute zero. Thermal radiation propagates without the
presence of matter through the vacuum of space.
• Thermal radiation is a direct result of the random movements of atoms and molecules in matter. Since
these atoms and molecules are composed of charged particles (protons and electrons), their movement
results in the emission of electromagnetic radiation, which carries energy away from the surface.
• The Stefan-Boltzmann equation, which describes the rate of transfer of radiant energy, is as follows for an
object in a vacuum:
1.1.5 Introduction of thermal conductivity.
• The rate at which heat passes through a specified material, expressed as the amount of heat that flows
per unit time through a unit area with a temperature gradient of one degree per unit distance noun:
thermal conductivity.
• Is the physical property of the material denoting the ease with particular substances can accomplish the
transmission of thermal energy by molecular motion? Thermal conductivity of material is found to depend
on the chemical composition of the substances of which it is composed, the phase (i.e. Gas, Liquid or solid)
in which it exists, its crystalline structure if a solid, the temperature and pressure to which it is subjected,
and whether or not it is homogeneous material. The atoms in the rod that are exposed to the heat, gain
energy in the form of heat and transfer this energy to their neighbors, which then transfer the heat energy
to their neighboring atoms. In this manner, the energy is passed along through the length of the rod.
•
CHAPTER 2
Literature review
2.1.1 Thermal conductivities of different types of metals
Metal
Temperature
- t -
(oF)
Thermal
Conductivity
- k -
(Btu/(hr oF ft))
Temperature
- t -
(oC)
Thermal Conductivity
- k -
(W/m K)
Admiralty Brass 68 64 20 111
Aluminum, pure 68 118 20 204
200 124 93 215
400 144 204 249
Aluminum Bronze 68 44 20 76
Antimony 68 10.7 20 19
Beryllium 68 126 20 218
Beryllium Copper 68 38 20 66
Bismuth 68 4.9 20 8.5
Carbon Steel, max
0.5% C
68 31 20 54
Carbon Steel, max
1.5% C
68 21 20 36
752 19 400 33
2192 17 1,200 29
Cartridge brass (UNS
C26000)
68 69.4 20 120
Cast Iron, gray 70 27 – 46 21 47 – 80
Chromium 68 52 20 90
Cobalt 68 40 20 69
Copper, pure 68 223 20 386
572 213 300 369
Copper bronze (75% Cu, 25%
Sn)
68 15 20 26
Copper brass (70% Cu, 30% Zi) 68 64 20 111
Cupronickel 68 17 20 29
Gold 68 182 20 315
Hastelloy B 6 10
Hastelloy C 70 5 21 8.7
Inconel 70 – 212 8.4 21 - 100 15
Incoloy 32 – 212 6.8 0 – 100 12
Iridium 68 85 20 147
Iron, nodular pearlitic 212 18 100 31
Iron, pure 68 42 20 73
572 32 300 55
1832 20 1,000 35
Iron, wrought 68 34 20 59
Lead 68 20 20 35
572 17.2 300 30
Manganese Bronze 68 61 20 106
Magnesium 68 91.9 20 159
Mercury 68 4.85 20 8.4
Molybdenum 68 81 20 140
Monel 32 – 212 15 0 – 100 26
Nickel 68 52 20 90
Nickel Wrought 32 – 212 35 – 52 0 – 100 61 – 90
Niobium (Columbium) 68 30 20 52
Osmium 68 35 20 61
Phosphor bronze (10%
Sn, UNS C52400)
68 28.9 20 50
Platinum 68 42 20 73
Plutonium 68 4.6 20 8.0
Potassium 68 57.8 20 100
Red Brass 68 92 20 159
Rhodium 68 86.7 20 150
Selenium 68 0.3 20 0.52
Silicon 68 48.3 20 84
Silver, pure 68 235 20 407
Sodium 68 77.5 20 134
Stainless Steel 68 7-26 20 12 – 45
Tantalum 68 31 20 54
Thorium 68 24 20 42
Tin 32 36 – 39 0 62 – 68
Titanium 68 11 – 13 20 19 – 23
Tungsten 68 94 – 100 20 163 – 173
Uranium 68 14 20 24
Vanadium 68 35 20 61
Wrought Carbon Steel 32 34 0 59
Yellow Brass 68 67 20 116
Zinc - 67 116
Zirconium 32 13.4 0 23
2.1.2 Parameter affecting thermal conductivity
• Here are the factors that affect the rate of conduction: Temperature difference. The greater the difference
in temperature between the two ends of the bar, the greater the rate of thermal energy transfer, so more
heat is transferred.
CHAPTER 3
3.1.1Experimental Set Up
3.1.2Experimental Procedure
• (1) First of all connect cold water supply at inlet of the cooling chamber of setup.
• (2) Make sure that drain valve is open.
• (3) Start water supply (1LPM) at constant water supply rate.
• (4) Now switch on the supply and make sure the zero position of all digital devices before switching on it.
• (5) Fix the power input to the heater with the help of Variac, Voltmeter and ammeter provided.
• (6) After 30 Minutes start recording the temperature of various point at each 5 minutes interval.
• (7) If temperature reading are same for three times, assume that state is achieved.
• (8) Record the final temperatures.
• (9) Repeat the above procedure for two different temperatures.
•
• CLOSING PROCEDURE:-
• (1) When experiment is over, switch off heater first.
• (2) Adjust Variac at zero.
• (3) Switch off the panel with the help of mains on/off switch given on the panel.
• (4) Switch off power supply to panel.
• (5) stop cold water supply.
3.1.3SPECIFICATIONS
• Length of the metal Bar : 450mm
• Diameter of the metal bar : 25mm
• Test length of the bar : 235mm
• Total no of temperature sensors in the setup : 8 Nos.
• Number of Temperature sensors mounted on bar : 6 Nos.
• Number of Temperature sensors mounted on water jacket : 2 Nos.
• Type of Temperature sensors : RTD PT-100
• Heater : Nichrome
• Cooling jacket dia : 100mm
• Length of cooling jacket : 75mm
• Dimmer stat for heater coil : 2 Amp
• 230VAC Digital Voltmeter : 0 to 250 volt
• Digital Ammeter : 0 to 2.5
• Amps.
• Temperature indicator : 0 to 99.9 C
3.1.4Components Used:
• 1..Metal rod
• 2. M.s cylinder
• 3. Temperature Meter
• 4. Temperature Sensor
• 5. heater
• 6. pump
• 7. flange
EXPLAINATION ABOUT COMPONENTS:
3.1.5 Copper Rod
• Copper is a chemical element with symbol CU and atomic number 29.it is a soft, malleable, and ductile
metal with very high thermal and electrical conductivity. A freshly exposed surface of pure copper has a
reddish-orange color. Copper is used as a conductor of heat and electricity, as a building material. And as a
constituent of various metal alloys, such as sterling silver used in jewelry, cupronickel used to make marine
hardware and coins, and constantan used in strain gauge and thermocouples for temperature
measurement.
• In this project we are using copper rod. Copper rod diameter is 25mm and length of copper bar is 425mm.
Test length of the copper bar is 200mm respectively. Copper rod. Copper rod diameter is 25mm and
length of copper bar is 425mm. Test length of the copper bar is 200mm respectively. Copper thermal
conductivity is the 9.2×10^-2 KCAL and 380 J respectively.
• Copper is a good conductor of heat. This means that if you heat one end of a piece of copper, the other
end will quickly reach the same temperature. Most metals are pretty good conductors; however, apart
from silver, copper is the best.
It is used in many heating applications because it doesn't corrode and has a high melting point. The only
other material that has similar resistance to corrosion is stainless steel. However, its thermal conductivity
is 30 times worse than that of copper.
3.1.6 M.s Cylinder
• Mild steel is made up to 5mm thick plate and it is passed through the bending machine and the cylinder is
made from it. Mild steel diameter is 100mm while the length of the mild steel cylinder is 250mm. On the
back end of the cylinder, the cover is attached as a flange. This flange is attached to the cylinder with the
help of nut and bolt. Copper rod is kept in the inner part of the cylinder. The cylinder is supported.
Insulation is done with copper rod in the cylinder.
• A water jacket is provided on one end of the cylinder so that one side of the copper rod is cold. Cylinder is
the main part of this project.
3.1.7Temperature Meter
• What temperature should we measure from copper rod to temperature meter? In some part of full length
of copper rod, how much temperature can be easily measured. Temperature can be measured from
temperature range from T1 to T12. In the back part of the temperature meter, there are 12 ports, which
are given in connection with the temperature sensor in the 12 ports. The temperature sensor delivers
measured measurements digitally. Temperature meter gets in different range.`
3.1.8Temperature sensor
• A thermocouple is an electrical device consisting of two dissimilar electrical conductors forming electrical
junction at differing temperature. A thermocouple produces a temperature dependent voltage as a result
of the thermoelectric effect, and this voltage can be interpreted to measure temperature. Thermocouple
are a widely used type of temperature sensor.
• Commercial thermocouple are inexpensive interchangeable, are supplied with standard connectors, and
can measure a wide range of temperatures. In contrast to most other methods of temperature
measurement, thermocouple is self powered and require no external form of excitation. The main
limitation with thermocouples is accuracy; system errors of less the one degree Celsius can be difficult to
achieve.
• In 1821, the German physicist Thomas Thomas johann seebeck discovered that when different metals are
joined at the ends and there is a temperature difference between the joints, a magnetic field is observed.
At the time Seebeck referred to this as thermo-magnetism. The magnetic field he observed was later
shown to be due to thermo-electric current. In practical use, the voltage generated at a single junction of
two different types of wire is what is of interest as this can be used to measure temperature at very high
and low temperatures. The magnitude of the voltage depends on the types of wire used. Generally, the
voltage is in the microvolt range and care must be taken to obtain a usable measurement. Although very
little current flows, power can be generated by a single thermocouple junction. Power generation using
multiple thermocouples, as in a thermopile, is common.
3.1.9 Nichrome wire heater.
• Nichrome, a non-magnetic 80/20 alloy of nickel and chromium, is the most common resistance wire for
heating purposes because it has a high resistivity and resistance to oxidation at high temperatures. When
used as a heating element, resistance wire is usually wound into coils. One difficulty in using nichrome
wire is that common tin-based electrical solder will not bond with it, so the connections to the electrical
power must be made using other methods such as crimp connectors or screw terminals.
• Resistance wire is wire intended for making electrical resistors (which are used to control the amount of
current in a copper rod). It is better if the alloy used has a high resistivity, since a shorter wire can then be
used. In many situations, the stability of the resistor is of primary importance, and thus the
alloy's temperature coefficient of resistivity and corrosion resistance play a large part in material selection.
Material
Resistivity
(ohm-cmil/ft)
Resistivity
(10−6 ohm-cm)
Aluminum 15.94 2.650
Brass 42.1 7.0
Carbon (amorphous) 23 3.95
Constantan 272.97 45.38
Copper 10.09 1.678
Iron 57.81 9.61
Manganin 290 48.21
Molybdenum 32.12 5.34
Nichrome 675 112.2
Nichrome V 650 108.1
Nickel 41.69 6.93
Platinum 63.16 10.5
Stainless steel (304) 541 90
Steel (0.5% carbon) 100 16.62
Zinc 35.49 5.90
3.1.10Digital volt Meter
• A voltmeter is an instrument used for measuring electrical potential difference between two points in an
electric circuit. Analog voltmeters move a pointer across a scale in proportion to the voltage of the circuit;
digital voltmeters give a numerical display of voltage by use of an analog to digital converter.
• A digital voltmeter (DVM) measures an unknown input voltage by converting the voltage to a digital value
and then displays the voltage in numeric form. DVMs are usually designed around a special type of analog-
to-digital converter called an integrating converter.
• DVM measurement accuracy is affected by many factors, including temperature, input impedance, and
DVM power supply voltage variations. Less expensive DVMs often have input resistance on the order of 10
MΩ. Precision DVMs can have input resistances of 1 GΩ or higher for the lower voltage ranges (e.g. less
than 20 V). To ensure that a DVM's accuracy is within the manufacturer's specified tolerances, it must be
periodically calibrated against a voltage standard such as the Weston cell.
3.1.11 Digital Ampere Meter
• An ammeter (from Ampere Meter) is a measuring instrument used to measure the current in a copper rod.
Electric currents are measured in amperes (A), hence the name. Instruments used to measure smaller
currents, in the milliampere or microampere range, are designated as milliammeters or micrometers.
• In much the same way as the analogue ammeter formed the basis for a wide variety of derived meters,
including voltmeters, the basic mechanism for a digital meter is a digital voltmeter mechanism, and other
types of meter are built around this.
• Digital ammeter designs use a shunt resistor to produce a calibrated voltage proportional to the current
flowing. This voltage is then measured by a digital voltmeter, through use of an analog to digital
converter (ADC); the digital display is calibrated to display the current through the shunt. Such instruments
are often calibrated to indicate the RMS value for a sine wave only, but many designs will indicate true
RMS within limitations of the wave crest factor
3.1.12 . Dimmerstat (Variac)
• Principal: - Variac is the trademark name of a variable autotransformer. Variac provides a voltage-
adjustable source of alternating current (AC) electricity. A variable autotransformer is a single-coil
transformer in which two portions of the same coil are used as the primary and the secondary.
• An autotransformer is an electrical transformer with only one winding. The "auto" prefix refers to the
single coil acting alone and not to any kind of automatic mechanism. In an autotransformer, portions of
the same winding act as both the primary and secondary side of the transformer. In contrast, an ordinary
transformer has separate primary and secondary winding which are not electrically connected.
• Autotransformers are frequently used in power applications to interconnect systems operating at different
voltage classes, for example 132 kV to 66 kV for transmission. Another application in industry is to adapt
machinery built (for example) for 480 V supplies to operate on a 600 V supply. They are also often used for
providing conversions between the two common domestic mains voltage bands in the world (100 V—
130 V and 200 V—250 V). The links between the UK 400 kV and 275 kV 'Super Grid' networks are normally
three phase autotransformers with taps at the common neutral end.
3.1.13APPLICATION OF THERMAL CONDUCTIVITY OF METAL ROD
• A) To measure the temperature gradient along the length of the metal (copper) rod.
• B) To determine the co-efficient of thermal conductivity of the metal (copper). ), ∆T/ ∆X is the temperature
gradient in the direction of heat flow
CHAPTER 4
•
• Thank you.

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Experimental investigation of thermal conductivity of the metal

  • 1. EXPERIMENTAL INVESTIGATION OF THERMAL CONDUCTIVITY OF THE METAL ROD MADE BY:- Patel Dhrumil.
  • 2. ABSTRACT • Heat transfer is one of the important phenomena in any mechanical device. This report describes the heat transfer fundamentals and its characteristics. This project is about the experimental investigation of thermal conductivity of metal rod. In the experimental investigation different operational parameters like: temperature difference, voltage, ampere, watt will be study to know the thermal conductivity of copper rod.
  • 3. TABLE CONTAINS • Certificate (2) • Acknowledgement (3) • Abstract (4) • Table contents (5) • List of figures (7) • Chapter Topics Page No • 1. Introduction. (9) • 1.1.1 Heat transfer (9) • 1.1.2 Conduction (9) • 1.1.3 Convection (9) • 1.1.4 Radiation. (10) • 1.1.5 Thermal conductivity (11) • 2. Literature review (12) • 2.1.1 Thermal conductivities of different types of metals. (12) • 2.1.2 Parameter affecting thermal conductivity (15) • 3. Experimental Set Up (16) • 3.1.1 Block Diagram (16) • 3.1.2 Experimental Procedure (17) • 3.1.3 Specification (18) • 3.1.4 Components Used (19) • 3.1.5 Copper Rod. (20) • 3.1.6 M.s cylinder. (21) • 3.1.7 Temperature Meter. (22) • 3.1.8 Temperature Sensor. (23) • 3.1.9 Nichrome wire heater. (25) • 3.1.10 Digital Volt Meter (27) • 3.1.11 Digital Ampere Meter (28) • 3.1.12 Dimmerstat. (29) • 3.1.13 Application (30)
  • 4. List of figures • No. Figures Page no. • 1. Copper Rod (18) • 2. M.s Cylinder. (19) • 3. Temperature Meter (20) • 4. Temperature sensor (21) • 5. Nicrome wire Heater (23) • 6. Digital volt Meter (24) • 7. Digital Ampere Meter (25) • 8. Dimmerstat (variac) (26) • 9. Block diagram (27)
  • 5. LIST OF TABLES • NO. TOPIC PAGE NO • 1. Thermal conductivity of different metals. (12). • 2. Different material of wire heater. (22).
  • 6. CHAPTER 1 INTRODUCTION • 1.1.1 Introduction to heat transfer? • Heat transfer ,also referred to simply as heat, is the movement of thermal energy from one thing to another thing of different temperature. there are three diffrent ways the heat can transfer conduction, convection and radiation.
  • 7. 1.1.2 Conduction • On a microscopic scale, heat conduction occurs as hot, rapidly moving or vibrating atoms and molecules interact with neighboring atoms and molecules, transferring some of their energy (heat) to these neighboring particles. In other words, heat is transferred by conduction when adjacent atoms vibrate against one another, or as electrons move from one atom to another. Conduction is the most significant means of heat transfer within a solid or between solid objects in thermal contect Fluids—especially gases—are less conductive. Thermal contact conductance is the study of heat conduction between solid bodies in contact. The process of heat transfer from one place to another place without the movement of particles is called conduction. Example: Heat transfer through Metal rods. Steady state conduction is a form of conduction that happens when the temperature difference driving the conduction is constant, so that after an equilibration time, the spatial distribution of temperatures in the conducting object does not change any further. In steady state conduction, the amount of heat entering a section is equal to amount of heat coming out. • Transient conduction occurs when the temperature within an object changes as a function of time. Analysis of transient systems is more complex and often calls for the application of approximation theories or numerical analysis by computer.
  • 8. 1.1.3 Convection • The flow of fluid may be forced by external processes, or sometimes (in gravitational fields) by buoyancy forces caused when thermal energy expands the fluid (for example in a fire plume), thus influencing its own transfer. The latter process is often called "natural convection". All convective processes also move heat partly by diffusion, as well. Another form of convection is forced convection. In this case the fluid is forced to flow by using a pump, fan or other mechanical means. • Convective heat transfer, or convection, is the transfer of heat from one place to another by the movement of fluids, a process that is essentially the transfer of heat via mass transfer. Bulk motion of fluid enhances heat transfer in many physical situations, such as (for example) between a solid surface and the fluid.[10] Convection is usually the dominant form of heat transfer in liquids and gases. Although sometimes discussed as a third method of heat transfer, convection is usually used to describe the combined effects of heat conduction within the fluid (diffusion) and heat transference by bulk fluid flow streaming.[11] The process of transport by fluid streaming is known as advection, but pure advection is a term that is generally associated only with mass transport in fluids, such as advection of pebbles in a river. In the case of heat transfer in fluids, where transport by advection in a fluid is always also accompanied by transport via heat diffusion (also known as heat conduction) the process of heat convection is understood to refer to the sum of heat transport by advection and diffusion/conduction.
  • 9. 1.1.4 Radiation. • Thermal radiation occurs through a vacuum or any transparent medium (solid or fluid). It is the transfer of energy by means of photons in electromagnetic waves governed by the same laws. • Thermal radiation is energy emitted by matter as electromagnetic waves, due to the pool of thermal energy in all matter with a temperature above absolute zero. Thermal radiation propagates without the presence of matter through the vacuum of space. • Thermal radiation is a direct result of the random movements of atoms and molecules in matter. Since these atoms and molecules are composed of charged particles (protons and electrons), their movement results in the emission of electromagnetic radiation, which carries energy away from the surface. • The Stefan-Boltzmann equation, which describes the rate of transfer of radiant energy, is as follows for an object in a vacuum:
  • 10. 1.1.5 Introduction of thermal conductivity. • The rate at which heat passes through a specified material, expressed as the amount of heat that flows per unit time through a unit area with a temperature gradient of one degree per unit distance noun: thermal conductivity. • Is the physical property of the material denoting the ease with particular substances can accomplish the transmission of thermal energy by molecular motion? Thermal conductivity of material is found to depend on the chemical composition of the substances of which it is composed, the phase (i.e. Gas, Liquid or solid) in which it exists, its crystalline structure if a solid, the temperature and pressure to which it is subjected, and whether or not it is homogeneous material. The atoms in the rod that are exposed to the heat, gain energy in the form of heat and transfer this energy to their neighbors, which then transfer the heat energy to their neighboring atoms. In this manner, the energy is passed along through the length of the rod. •
  • 11. CHAPTER 2 Literature review 2.1.1 Thermal conductivities of different types of metals Metal Temperature - t - (oF) Thermal Conductivity - k - (Btu/(hr oF ft)) Temperature - t - (oC) Thermal Conductivity - k - (W/m K) Admiralty Brass 68 64 20 111 Aluminum, pure 68 118 20 204 200 124 93 215 400 144 204 249 Aluminum Bronze 68 44 20 76 Antimony 68 10.7 20 19 Beryllium 68 126 20 218 Beryllium Copper 68 38 20 66 Bismuth 68 4.9 20 8.5
  • 12. Carbon Steel, max 0.5% C 68 31 20 54 Carbon Steel, max 1.5% C 68 21 20 36 752 19 400 33 2192 17 1,200 29 Cartridge brass (UNS C26000) 68 69.4 20 120 Cast Iron, gray 70 27 – 46 21 47 – 80 Chromium 68 52 20 90 Cobalt 68 40 20 69 Copper, pure 68 223 20 386 572 213 300 369
  • 13. Copper bronze (75% Cu, 25% Sn) 68 15 20 26 Copper brass (70% Cu, 30% Zi) 68 64 20 111 Cupronickel 68 17 20 29 Gold 68 182 20 315 Hastelloy B 6 10 Hastelloy C 70 5 21 8.7 Inconel 70 – 212 8.4 21 - 100 15 Incoloy 32 – 212 6.8 0 – 100 12 Iridium 68 85 20 147 Iron, nodular pearlitic 212 18 100 31
  • 14. Iron, pure 68 42 20 73 572 32 300 55 1832 20 1,000 35 Iron, wrought 68 34 20 59 Lead 68 20 20 35 572 17.2 300 30 Manganese Bronze 68 61 20 106 Magnesium 68 91.9 20 159 Mercury 68 4.85 20 8.4 Molybdenum 68 81 20 140
  • 15. Monel 32 – 212 15 0 – 100 26 Nickel 68 52 20 90 Nickel Wrought 32 – 212 35 – 52 0 – 100 61 – 90 Niobium (Columbium) 68 30 20 52 Osmium 68 35 20 61 Phosphor bronze (10% Sn, UNS C52400) 68 28.9 20 50 Platinum 68 42 20 73 Plutonium 68 4.6 20 8.0 Potassium 68 57.8 20 100 Red Brass 68 92 20 159
  • 16. Rhodium 68 86.7 20 150 Selenium 68 0.3 20 0.52 Silicon 68 48.3 20 84 Silver, pure 68 235 20 407 Sodium 68 77.5 20 134 Stainless Steel 68 7-26 20 12 – 45 Tantalum 68 31 20 54 Thorium 68 24 20 42 Tin 32 36 – 39 0 62 – 68 Titanium 68 11 – 13 20 19 – 23
  • 17. Tungsten 68 94 – 100 20 163 – 173 Uranium 68 14 20 24 Vanadium 68 35 20 61 Wrought Carbon Steel 32 34 0 59 Yellow Brass 68 67 20 116 Zinc - 67 116 Zirconium 32 13.4 0 23
  • 18. 2.1.2 Parameter affecting thermal conductivity • Here are the factors that affect the rate of conduction: Temperature difference. The greater the difference in temperature between the two ends of the bar, the greater the rate of thermal energy transfer, so more heat is transferred.
  • 20. 3.1.2Experimental Procedure • (1) First of all connect cold water supply at inlet of the cooling chamber of setup. • (2) Make sure that drain valve is open. • (3) Start water supply (1LPM) at constant water supply rate. • (4) Now switch on the supply and make sure the zero position of all digital devices before switching on it. • (5) Fix the power input to the heater with the help of Variac, Voltmeter and ammeter provided. • (6) After 30 Minutes start recording the temperature of various point at each 5 minutes interval. • (7) If temperature reading are same for three times, assume that state is achieved. • (8) Record the final temperatures. • (9) Repeat the above procedure for two different temperatures. • • CLOSING PROCEDURE:- • (1) When experiment is over, switch off heater first. • (2) Adjust Variac at zero. • (3) Switch off the panel with the help of mains on/off switch given on the panel. • (4) Switch off power supply to panel. • (5) stop cold water supply.
  • 21. 3.1.3SPECIFICATIONS • Length of the metal Bar : 450mm • Diameter of the metal bar : 25mm • Test length of the bar : 235mm • Total no of temperature sensors in the setup : 8 Nos. • Number of Temperature sensors mounted on bar : 6 Nos. • Number of Temperature sensors mounted on water jacket : 2 Nos. • Type of Temperature sensors : RTD PT-100 • Heater : Nichrome • Cooling jacket dia : 100mm • Length of cooling jacket : 75mm • Dimmer stat for heater coil : 2 Amp • 230VAC Digital Voltmeter : 0 to 250 volt • Digital Ammeter : 0 to 2.5 • Amps. • Temperature indicator : 0 to 99.9 C
  • 22. 3.1.4Components Used: • 1..Metal rod • 2. M.s cylinder • 3. Temperature Meter • 4. Temperature Sensor • 5. heater • 6. pump • 7. flange
  • 23. EXPLAINATION ABOUT COMPONENTS: 3.1.5 Copper Rod • Copper is a chemical element with symbol CU and atomic number 29.it is a soft, malleable, and ductile metal with very high thermal and electrical conductivity. A freshly exposed surface of pure copper has a reddish-orange color. Copper is used as a conductor of heat and electricity, as a building material. And as a constituent of various metal alloys, such as sterling silver used in jewelry, cupronickel used to make marine hardware and coins, and constantan used in strain gauge and thermocouples for temperature measurement. • In this project we are using copper rod. Copper rod diameter is 25mm and length of copper bar is 425mm. Test length of the copper bar is 200mm respectively. Copper rod. Copper rod diameter is 25mm and length of copper bar is 425mm. Test length of the copper bar is 200mm respectively. Copper thermal conductivity is the 9.2×10^-2 KCAL and 380 J respectively. • Copper is a good conductor of heat. This means that if you heat one end of a piece of copper, the other end will quickly reach the same temperature. Most metals are pretty good conductors; however, apart from silver, copper is the best. It is used in many heating applications because it doesn't corrode and has a high melting point. The only other material that has similar resistance to corrosion is stainless steel. However, its thermal conductivity is 30 times worse than that of copper.
  • 24.
  • 25. 3.1.6 M.s Cylinder • Mild steel is made up to 5mm thick plate and it is passed through the bending machine and the cylinder is made from it. Mild steel diameter is 100mm while the length of the mild steel cylinder is 250mm. On the back end of the cylinder, the cover is attached as a flange. This flange is attached to the cylinder with the help of nut and bolt. Copper rod is kept in the inner part of the cylinder. The cylinder is supported. Insulation is done with copper rod in the cylinder. • A water jacket is provided on one end of the cylinder so that one side of the copper rod is cold. Cylinder is the main part of this project.
  • 26.
  • 27.
  • 28. 3.1.7Temperature Meter • What temperature should we measure from copper rod to temperature meter? In some part of full length of copper rod, how much temperature can be easily measured. Temperature can be measured from temperature range from T1 to T12. In the back part of the temperature meter, there are 12 ports, which are given in connection with the temperature sensor in the 12 ports. The temperature sensor delivers measured measurements digitally. Temperature meter gets in different range.`
  • 29.
  • 30. 3.1.8Temperature sensor • A thermocouple is an electrical device consisting of two dissimilar electrical conductors forming electrical junction at differing temperature. A thermocouple produces a temperature dependent voltage as a result of the thermoelectric effect, and this voltage can be interpreted to measure temperature. Thermocouple are a widely used type of temperature sensor. • Commercial thermocouple are inexpensive interchangeable, are supplied with standard connectors, and can measure a wide range of temperatures. In contrast to most other methods of temperature measurement, thermocouple is self powered and require no external form of excitation. The main limitation with thermocouples is accuracy; system errors of less the one degree Celsius can be difficult to achieve. • In 1821, the German physicist Thomas Thomas johann seebeck discovered that when different metals are joined at the ends and there is a temperature difference between the joints, a magnetic field is observed. At the time Seebeck referred to this as thermo-magnetism. The magnetic field he observed was later shown to be due to thermo-electric current. In practical use, the voltage generated at a single junction of two different types of wire is what is of interest as this can be used to measure temperature at very high and low temperatures. The magnitude of the voltage depends on the types of wire used. Generally, the voltage is in the microvolt range and care must be taken to obtain a usable measurement. Although very little current flows, power can be generated by a single thermocouple junction. Power generation using multiple thermocouples, as in a thermopile, is common.
  • 31.
  • 32. 3.1.9 Nichrome wire heater. • Nichrome, a non-magnetic 80/20 alloy of nickel and chromium, is the most common resistance wire for heating purposes because it has a high resistivity and resistance to oxidation at high temperatures. When used as a heating element, resistance wire is usually wound into coils. One difficulty in using nichrome wire is that common tin-based electrical solder will not bond with it, so the connections to the electrical power must be made using other methods such as crimp connectors or screw terminals. • Resistance wire is wire intended for making electrical resistors (which are used to control the amount of current in a copper rod). It is better if the alloy used has a high resistivity, since a shorter wire can then be used. In many situations, the stability of the resistor is of primary importance, and thus the alloy's temperature coefficient of resistivity and corrosion resistance play a large part in material selection.
  • 33. Material Resistivity (ohm-cmil/ft) Resistivity (10−6 ohm-cm) Aluminum 15.94 2.650 Brass 42.1 7.0 Carbon (amorphous) 23 3.95 Constantan 272.97 45.38 Copper 10.09 1.678 Iron 57.81 9.61 Manganin 290 48.21 Molybdenum 32.12 5.34
  • 34. Nichrome 675 112.2 Nichrome V 650 108.1 Nickel 41.69 6.93 Platinum 63.16 10.5 Stainless steel (304) 541 90 Steel (0.5% carbon) 100 16.62 Zinc 35.49 5.90
  • 35.
  • 36. 3.1.10Digital volt Meter • A voltmeter is an instrument used for measuring electrical potential difference between two points in an electric circuit. Analog voltmeters move a pointer across a scale in proportion to the voltage of the circuit; digital voltmeters give a numerical display of voltage by use of an analog to digital converter. • A digital voltmeter (DVM) measures an unknown input voltage by converting the voltage to a digital value and then displays the voltage in numeric form. DVMs are usually designed around a special type of analog- to-digital converter called an integrating converter. • DVM measurement accuracy is affected by many factors, including temperature, input impedance, and DVM power supply voltage variations. Less expensive DVMs often have input resistance on the order of 10 MΩ. Precision DVMs can have input resistances of 1 GΩ or higher for the lower voltage ranges (e.g. less than 20 V). To ensure that a DVM's accuracy is within the manufacturer's specified tolerances, it must be periodically calibrated against a voltage standard such as the Weston cell.
  • 37.
  • 38. 3.1.11 Digital Ampere Meter • An ammeter (from Ampere Meter) is a measuring instrument used to measure the current in a copper rod. Electric currents are measured in amperes (A), hence the name. Instruments used to measure smaller currents, in the milliampere or microampere range, are designated as milliammeters or micrometers. • In much the same way as the analogue ammeter formed the basis for a wide variety of derived meters, including voltmeters, the basic mechanism for a digital meter is a digital voltmeter mechanism, and other types of meter are built around this. • Digital ammeter designs use a shunt resistor to produce a calibrated voltage proportional to the current flowing. This voltage is then measured by a digital voltmeter, through use of an analog to digital converter (ADC); the digital display is calibrated to display the current through the shunt. Such instruments are often calibrated to indicate the RMS value for a sine wave only, but many designs will indicate true RMS within limitations of the wave crest factor
  • 39.
  • 40. 3.1.12 . Dimmerstat (Variac) • Principal: - Variac is the trademark name of a variable autotransformer. Variac provides a voltage- adjustable source of alternating current (AC) electricity. A variable autotransformer is a single-coil transformer in which two portions of the same coil are used as the primary and the secondary. • An autotransformer is an electrical transformer with only one winding. The "auto" prefix refers to the single coil acting alone and not to any kind of automatic mechanism. In an autotransformer, portions of the same winding act as both the primary and secondary side of the transformer. In contrast, an ordinary transformer has separate primary and secondary winding which are not electrically connected. • Autotransformers are frequently used in power applications to interconnect systems operating at different voltage classes, for example 132 kV to 66 kV for transmission. Another application in industry is to adapt machinery built (for example) for 480 V supplies to operate on a 600 V supply. They are also often used for providing conversions between the two common domestic mains voltage bands in the world (100 V— 130 V and 200 V—250 V). The links between the UK 400 kV and 275 kV 'Super Grid' networks are normally three phase autotransformers with taps at the common neutral end.
  • 41.
  • 42. 3.1.13APPLICATION OF THERMAL CONDUCTIVITY OF METAL ROD • A) To measure the temperature gradient along the length of the metal (copper) rod. • B) To determine the co-efficient of thermal conductivity of the metal (copper). ), ∆T/ ∆X is the temperature gradient in the direction of heat flow
  • 44.