Md. I. A. Ansari
Department of Agricultural Engineering
(e-mail: irfan26200@yahoo.com)
Renewable Energy and Green
Technology
Temperature
• Temperature is the degree of hotness or
coldness of an object.
• Temperature (T) is a thermodynamic
quantity related to the motion of
molecules.
• Temperature is a measure of thermal
energy.
• The SI unit of temperature is Kelvin (K)
and MKS unit is °C.
Temperature Scales
The three temperature scales most
commonly employed in engineering
applications are degree Celsius (ºC) scale,
degree Fahrenheit (ºF) scale and Kelvin
(K) scale.
Temperature ºC ºF K
Absolute zero -273 -460 0
Boiling point
of water
100 212
373
Freezing point
of water
0 32
273
 
8.1
32
 F
C
T
T328.1  CF TT
273 CK TT
273 KC TT
100
273
180
32
100



 KFC TTT
5
273
9
32
5



 KFC TTT
Temperatures Conversion Formulas
Note: TC, TF and TK are temperatures in Celsius, Fahrenheit and Kelvin scale.
• Suppose the temperature inside a solar
dryer is 55 ºC. What will be temperature in
Fahrenheit and Kelvin scale.
• F=1.8 x 55+32=131ºF
• K= 50+273=323 K
Heat
• Heat is a form of energy.
• The motion of molecules produces heat.
• The more motion, the more heat is
generated and accordingly there will be
temperature rise.
• Heat energy can be transferred from one
object to another due to temperature
difference.
• Denoted by Q.
Units of Heat
SI unit: Joule
1J = 1 N m = m2 kg/s2
CGS unit: erg.
1 erg = 10-7 J
A calorie is commonly defined as the amount of heat
required to raise the temperature of one gram of
water by1oC.
1 cal = 4.186 J
British Thermal Unit
• BTU is a heat quantity measure.
• BTU is the quantity of heat needed to raise
the temperature of 1 lb. of water by one
degree Fahrenheit.
• 1 Btu (British thermal unit) = 1055.06 J =
0.252 kcal = 252 cal
Rate of Heat Transfer
Rate of heat transfer is amount of heat
energy transferred per unit time.
Rate of heat transfer=amt. of
heat/time=Q/t
Denoted by q.
SI unit of rate of heat transfer: J/s or Watt
• SI unit of power: J/s or Watt
Flux
• Transfer of any physical quantity
passing through a unit area in unit
time is called flux of that quantity.
• Some examples of flux are heat flux,
solar flux, mass flux, etc.
• The SI unit of heat flux/ solar flux is
J/sm2 or W/m2.
Heat Flux
• The heat flux is the rate of heat transfer per
unit area and equation for heat flux is given
as:
• Also, heat flux =heat energy/(Area x time)
• Where q is rate of heat transfer, W and A
is heat transfer area, m2 .
• If A=6 m2 and heat flux=4 W/m2
• Then q=6 x 4=24 W
A
q
fluxheat 
Specific Heat
• Specific heat is the amount of heat required to
increase the temperature of 1 kg of material by 1°C
at a given temperature.
• It is denoted by Cp.
• The SI unit for Cp is J/kg K or J/kg °C.
Specific Heat
• The ability of a substance to absorb heat
energy.
• Different substances absorb heat at
different rates.
• The greater the mass of the object the
more heat is absorbed.
•
• For example, Cp is 4.18 kJ/kg · °C for
water and cp is 0.45 kJ/kg · °C for iron at
room temperature, which indicates that
water can store almost 10 times the
energy that iron can per unit mass.
Specific Heat Values Of Selected Materials
Materials J/kg.K J/kg.°C kJ/kg.K
Aluminium 887 887
0.887
Brass 920 920
0.92
Brick 841 841
0.841
Cast Iron 554 554
0.554
Clay 878 878
0.878
Coal 1262 1262
1.262
Copper 385 385
0.385
Glass 792 792
0.792
Gold 130 130
0.13
Ice 2090 2090
2.09
Iron 462 462
0.462
Oak Wood 2380 2380
2.38
Rubber 2005 2005
2.005
Salt 881 881
0.881
Sand 780 780
0.78
Sandstone 740 740
0.74
Silver 236 236
0.236
Stainless Steel 316 468 468
0.468
Water 4187 4187
4.187
Zinc 389 389
0.389
• The specific heat (Cp) may be expressed
by the following relationship:
Where:
Cp = specific heat at constant pressure, J/kg
K
Q = heat transferred, J
m = mass, kg
∆T = temperature difference, K
Tm
Q
Cp


hence 1°C change in
temperature
is equivalent to a change of 1 K.
Sensible Heat
The heat which causes an increase or
decrease in the temperature of a body
without changing its state is known as
sensible heat.
Suppose if the temperature of a material is
raised from 30 to 72 oC, the heat absorbed
to make this change is the sensible heat.
Addition or removal of sensible heat
results in a temperature change.
Addition or removal of latent heat results in
no temperature change.
Phase Changes
• There are 3 common state of matter: solids
liquids and gases.
• A phase change is a physical
change that requires a change in
heat energy
• Addition or removal of HEAT
• Latent Heat: The amount of heat
absorbed or given out by a unit mass of
the substance to change its state without
change of temperature is called latent
heat.
• The different types of latent heat are latent
heat of fusion, latent heat of vaporization
and latent heat of sublimation.
• All types of phase changes are presented
in different figures given below:
Latent Heat of Fusion: The amount of
heat required to covert a unit mass of the
substance from solid state to the liquid state
without change of temperature is called latent
heat of fusion. The equation for latent heat of
fusion or solidification is given by:
Where,
Qf = quantity of heat required or liberated, J
m = mass of material solidified or melted, kg
λf = latent heat of solidification or fusion, J/kg
Latent heat of fusion of ice = 335 kJ/kg
Latent heat of freezing of water= 335 kJ/kg.
ff mQ 
Latent Heat of Vaporization: The amount of heat
required to convert a unit mass of saturated
liquid to saturated vapour at constant
temperature and pressure is called latent heat
of vaporization. The latent heat removed or
supplied for condensation or vaporization can
be calculated from the relationship:
Where,
Qv = quantity of heat required or liberated, J
m = mass of a given material evaporated or
condensed, kg
λv = latent heat of vaporization or condensation, J/kg
Latent heat of steam at 100°C = 2257 kJ/kg
vv mQ 
Latent Heat of sublimation: The amount of heat
required to covert a unit mass of the substance
from solid state to directly vapour state without
change of temperature is called latent heat of
sublimation and reverse of this process is called
deposition. The latent heat of sublimation can be
calculated from the relationship:
Where,
Qs = quantity of heat required, J
m= mass, kg
λs = latent heat of sublimation, J/kg
Latent heat of sublimation=2838 kJ/kg
ss mQ 
Flow Rate
• The mass flow rate of a fluid at a cross
section is equal to the product of the fluid
density, average fluid velocity, and the
cross-sectional area.
• Mass flow rate: kg/s
Volumetric Flow Rate
• The volume of a fluid flowing through a pipe
or duct per unit time is called the volume
flow rate V and is expressed as
• Volumetric flow rate (Q):m3/s, cm3/s, l/s
• Q=V/t Where V is volume, t is time.
• Q may be calculated as: Q=AV where A is
C.S.A and v is average velocity
Heat content (sensible heat) of a material:
The heat content or sensible heat of a material is
given by the following equation:
Sensible heat = mass x specific heat x temperature
difference
i.e.
Where Q = heat content or sensible heat, J
m = mass, kg
Cp = specific heat, J/kg K
∆T = temperature difference=T2-T1, K
T1=initial temperature, K
T2=final temperature, K
 12 TTmCTmCQ pp 
• How much heat is needed to raise the
temperature of 30 kg water from 10 0C to 80
0C when specific heat of water is 4.19 kJ/kg
K?
Solution
• Q = m c  T
= 30 Kg x 4.19 kJ/kg 0C x (80-10)0C
= 8799 kJ
Find the amount of heat required for evaporating 2.8kg of water at
45 Cº? (Lvaporization =2, 3×106 joule/kg cwater=4190J/kg.Cº)
Rate of Change of Heat Content: The equation for
rate of change of heat content of a material is
given by:
• Where
q = rate of change of heat content, J/s or W
• m= mass flow rate, kg/s
• Cp = specific heat, J/kg K
•  T = temperature difference, K
• d=diameter of pipe,m
• v=velocity of flow, m/s
• ρ=density of fluid, kg/m3
TvCdTvCATCmq ppp  

 2
4

Heat Transfer
• The basic requirement for heat transfer is
the presence of a temperature difference.
• There can be no net heat transfer between
two mediums that are at the same
temperature.
• The temperature difference is the driving
force for heat transfer
Principle of Heat Transfer
 Conduction
 Convection
 Radiation
• Conduction heat transfer: Conduction
heat transfer occurs when heat moves
through a material (usually a solid or a
viscous liquid) due to molecular action
only. Conduction heat transfer is guided by
Fourier’s law which can be written as:
x
T
kAq



• Where, q=heat transfer rate, W or J/s
• A= heat transfer area, m2
• ΔT=temperature difference, K
• Δx=distance, m
• k=thermal conductivity, W/m-K or J/sm K
x
T

 = temperature gradient i.e. the temperature per
unit length of heat-transfer path. The negative
sign indicates that eat flow is always from
higher temperature to lower temperature.
• Transfer of energy takes place at the
molecular level.
• As molecules of a solid material attain
additional thermal energy, they become
more energetic and vibrate with increased
amplitude.
• These vibrations are transmitted from one
molecule to another and heat is conducted
from regions of higher temperature to
those at lower temperature.
43
Thermal Conductivity
• Thermal conductivity: It represents the
quantity of heat Q that flows per unit time
through a mateial of unit thickness and
unit area having unit temperature
difference between faces.
• The SI unit of thermal conductivity is
W/m K.
• A high value for thermal conductivity
indicates that the material is a good heat
conductor.
• A low value indicates that the material is a
poor heat conductor or insulator.
Thermal Conductivity Values
• Convection: Convection heat transfer is
the transfer of energy due to the
movement of a heated (or cooled) fluid.
• It is of two types:
 Free or natural convection
Forced convection.
• Natural convection occurs when a heated
fluid moves due to the change in fluid
density.
• Forced convection occurs when the fluid is
moved by other methods (pumps, fans,
etc.).
• The governing equation for convection is:
• Where h is the heat transfer
coefficient (W/m2 K or W/m2 ◦C ), A is
the surface area, and Ts and Ta are
the surface of wall and ambient
temperatures, respectively.
 as TThAq 
Radiant Heat Transfer
(1) No medium is required for its propagation.
(2) Energy transfer by radiation is maximum when the two
Surfaces are separated by vacuum.
(3) Radiation heat transfer rate equation is given by the
Stefan-Boltzmann law of thermal radiation:
q: rate of radiant energy emission (W); A: area of emitting
surface (m2); T: absolute temperature; s: Stefan-
Boltzmann Constant = 5.676 x 10-8 W/m2-K4
4T
A
q s
Radiation which is given off by a body
because of its temperature is called
thermal radiation
A body of a temperature larger than 0
K emits thermal radiation
Radiation Heat Transfer
• Radiation = Radiates (heat escaping the sun)
Conduction, Convection and Radiation
• Solar radiation is often called short-wave
radiation, and atmospheric radiation is
often called long-wave radiation.
• Solar radiation has wavelengths mainly
between 0.3µm and 3µm; atmospheric
radiation has wavelengths mainly between
5µm and 50 µm
2 important terms related to solar energy

2 important terms related to solar energy

  • 1.
    Md. I. A.Ansari Department of Agricultural Engineering (e-mail: irfan26200@yahoo.com) Renewable Energy and Green Technology
  • 2.
    Temperature • Temperature isthe degree of hotness or coldness of an object. • Temperature (T) is a thermodynamic quantity related to the motion of molecules. • Temperature is a measure of thermal energy. • The SI unit of temperature is Kelvin (K) and MKS unit is °C.
  • 3.
    Temperature Scales The threetemperature scales most commonly employed in engineering applications are degree Celsius (ºC) scale, degree Fahrenheit (ºF) scale and Kelvin (K) scale.
  • 5.
    Temperature ºC ºFK Absolute zero -273 -460 0 Boiling point of water 100 212 373 Freezing point of water 0 32 273
  • 6.
      8.1 32  F C T T328.1 CF TT 273 CK TT 273 KC TT 100 273 180 32 100     KFC TTT 5 273 9 32 5     KFC TTT Temperatures Conversion Formulas Note: TC, TF and TK are temperatures in Celsius, Fahrenheit and Kelvin scale.
  • 7.
    • Suppose thetemperature inside a solar dryer is 55 ºC. What will be temperature in Fahrenheit and Kelvin scale. • F=1.8 x 55+32=131ºF • K= 50+273=323 K
  • 8.
    Heat • Heat isa form of energy. • The motion of molecules produces heat. • The more motion, the more heat is generated and accordingly there will be temperature rise. • Heat energy can be transferred from one object to another due to temperature difference. • Denoted by Q.
  • 9.
    Units of Heat SIunit: Joule 1J = 1 N m = m2 kg/s2 CGS unit: erg. 1 erg = 10-7 J A calorie is commonly defined as the amount of heat required to raise the temperature of one gram of water by1oC. 1 cal = 4.186 J
  • 10.
    British Thermal Unit •BTU is a heat quantity measure. • BTU is the quantity of heat needed to raise the temperature of 1 lb. of water by one degree Fahrenheit. • 1 Btu (British thermal unit) = 1055.06 J = 0.252 kcal = 252 cal
  • 11.
    Rate of HeatTransfer Rate of heat transfer is amount of heat energy transferred per unit time. Rate of heat transfer=amt. of heat/time=Q/t Denoted by q. SI unit of rate of heat transfer: J/s or Watt • SI unit of power: J/s or Watt
  • 12.
    Flux • Transfer ofany physical quantity passing through a unit area in unit time is called flux of that quantity. • Some examples of flux are heat flux, solar flux, mass flux, etc. • The SI unit of heat flux/ solar flux is J/sm2 or W/m2.
  • 13.
    Heat Flux • Theheat flux is the rate of heat transfer per unit area and equation for heat flux is given as: • Also, heat flux =heat energy/(Area x time) • Where q is rate of heat transfer, W and A is heat transfer area, m2 . • If A=6 m2 and heat flux=4 W/m2 • Then q=6 x 4=24 W A q fluxheat 
  • 14.
    Specific Heat • Specificheat is the amount of heat required to increase the temperature of 1 kg of material by 1°C at a given temperature. • It is denoted by Cp. • The SI unit for Cp is J/kg K or J/kg °C.
  • 15.
    Specific Heat • Theability of a substance to absorb heat energy. • Different substances absorb heat at different rates. • The greater the mass of the object the more heat is absorbed. •
  • 16.
    • For example,Cp is 4.18 kJ/kg · °C for water and cp is 0.45 kJ/kg · °C for iron at room temperature, which indicates that water can store almost 10 times the energy that iron can per unit mass.
  • 17.
    Specific Heat ValuesOf Selected Materials Materials J/kg.K J/kg.°C kJ/kg.K Aluminium 887 887 0.887 Brass 920 920 0.92 Brick 841 841 0.841 Cast Iron 554 554 0.554 Clay 878 878 0.878 Coal 1262 1262 1.262 Copper 385 385 0.385 Glass 792 792 0.792 Gold 130 130 0.13 Ice 2090 2090 2.09 Iron 462 462 0.462 Oak Wood 2380 2380 2.38 Rubber 2005 2005 2.005 Salt 881 881 0.881 Sand 780 780 0.78 Sandstone 740 740 0.74 Silver 236 236 0.236 Stainless Steel 316 468 468 0.468 Water 4187 4187 4.187 Zinc 389 389 0.389
  • 18.
    • The specificheat (Cp) may be expressed by the following relationship: Where: Cp = specific heat at constant pressure, J/kg K Q = heat transferred, J m = mass, kg ∆T = temperature difference, K Tm Q Cp  
  • 19.
    hence 1°C changein temperature is equivalent to a change of 1 K.
  • 20.
    Sensible Heat The heatwhich causes an increase or decrease in the temperature of a body without changing its state is known as sensible heat. Suppose if the temperature of a material is raised from 30 to 72 oC, the heat absorbed to make this change is the sensible heat.
  • 21.
    Addition or removalof sensible heat results in a temperature change. Addition or removal of latent heat results in no temperature change.
  • 22.
    Phase Changes • Thereare 3 common state of matter: solids liquids and gases. • A phase change is a physical change that requires a change in heat energy • Addition or removal of HEAT
  • 23.
    • Latent Heat:The amount of heat absorbed or given out by a unit mass of the substance to change its state without change of temperature is called latent heat. • The different types of latent heat are latent heat of fusion, latent heat of vaporization and latent heat of sublimation. • All types of phase changes are presented in different figures given below:
  • 26.
    Latent Heat ofFusion: The amount of heat required to covert a unit mass of the substance from solid state to the liquid state without change of temperature is called latent heat of fusion. The equation for latent heat of fusion or solidification is given by: Where, Qf = quantity of heat required or liberated, J m = mass of material solidified or melted, kg λf = latent heat of solidification or fusion, J/kg Latent heat of fusion of ice = 335 kJ/kg Latent heat of freezing of water= 335 kJ/kg. ff mQ 
  • 27.
    Latent Heat ofVaporization: The amount of heat required to convert a unit mass of saturated liquid to saturated vapour at constant temperature and pressure is called latent heat of vaporization. The latent heat removed or supplied for condensation or vaporization can be calculated from the relationship: Where, Qv = quantity of heat required or liberated, J m = mass of a given material evaporated or condensed, kg λv = latent heat of vaporization or condensation, J/kg Latent heat of steam at 100°C = 2257 kJ/kg vv mQ 
  • 28.
    Latent Heat ofsublimation: The amount of heat required to covert a unit mass of the substance from solid state to directly vapour state without change of temperature is called latent heat of sublimation and reverse of this process is called deposition. The latent heat of sublimation can be calculated from the relationship: Where, Qs = quantity of heat required, J m= mass, kg λs = latent heat of sublimation, J/kg Latent heat of sublimation=2838 kJ/kg ss mQ 
  • 29.
    Flow Rate • Themass flow rate of a fluid at a cross section is equal to the product of the fluid density, average fluid velocity, and the cross-sectional area. • Mass flow rate: kg/s
  • 30.
    Volumetric Flow Rate •The volume of a fluid flowing through a pipe or duct per unit time is called the volume flow rate V and is expressed as • Volumetric flow rate (Q):m3/s, cm3/s, l/s • Q=V/t Where V is volume, t is time. • Q may be calculated as: Q=AV where A is C.S.A and v is average velocity
  • 31.
    Heat content (sensibleheat) of a material: The heat content or sensible heat of a material is given by the following equation: Sensible heat = mass x specific heat x temperature difference i.e. Where Q = heat content or sensible heat, J m = mass, kg Cp = specific heat, J/kg K ∆T = temperature difference=T2-T1, K T1=initial temperature, K T2=final temperature, K  12 TTmCTmCQ pp 
  • 32.
    • How muchheat is needed to raise the temperature of 30 kg water from 10 0C to 80 0C when specific heat of water is 4.19 kJ/kg K?
  • 33.
    Solution • Q =m c  T = 30 Kg x 4.19 kJ/kg 0C x (80-10)0C = 8799 kJ
  • 34.
    Find the amountof heat required for evaporating 2.8kg of water at 45 Cº? (Lvaporization =2, 3×106 joule/kg cwater=4190J/kg.Cº)
  • 35.
    Rate of Changeof Heat Content: The equation for rate of change of heat content of a material is given by: • Where q = rate of change of heat content, J/s or W • m= mass flow rate, kg/s • Cp = specific heat, J/kg K •  T = temperature difference, K • d=diameter of pipe,m • v=velocity of flow, m/s • ρ=density of fluid, kg/m3 TvCdTvCATCmq ppp     2 4 
  • 36.
    Heat Transfer • Thebasic requirement for heat transfer is the presence of a temperature difference. • There can be no net heat transfer between two mediums that are at the same temperature. • The temperature difference is the driving force for heat transfer
  • 37.
    Principle of HeatTransfer  Conduction  Convection  Radiation
  • 38.
    • Conduction heattransfer: Conduction heat transfer occurs when heat moves through a material (usually a solid or a viscous liquid) due to molecular action only. Conduction heat transfer is guided by Fourier’s law which can be written as: x T kAq   
  • 39.
    • Where, q=heattransfer rate, W or J/s • A= heat transfer area, m2 • ΔT=temperature difference, K • Δx=distance, m • k=thermal conductivity, W/m-K or J/sm K x T   = temperature gradient i.e. the temperature per unit length of heat-transfer path. The negative sign indicates that eat flow is always from higher temperature to lower temperature.
  • 40.
    • Transfer ofenergy takes place at the molecular level. • As molecules of a solid material attain additional thermal energy, they become more energetic and vibrate with increased amplitude. • These vibrations are transmitted from one molecule to another and heat is conducted from regions of higher temperature to those at lower temperature.
  • 43.
    43 Thermal Conductivity • Thermalconductivity: It represents the quantity of heat Q that flows per unit time through a mateial of unit thickness and unit area having unit temperature difference between faces. • The SI unit of thermal conductivity is W/m K.
  • 44.
    • A highvalue for thermal conductivity indicates that the material is a good heat conductor. • A low value indicates that the material is a poor heat conductor or insulator.
  • 45.
  • 46.
    • Convection: Convectionheat transfer is the transfer of energy due to the movement of a heated (or cooled) fluid. • It is of two types:  Free or natural convection Forced convection.
  • 47.
    • Natural convectionoccurs when a heated fluid moves due to the change in fluid density.
  • 48.
    • Forced convectionoccurs when the fluid is moved by other methods (pumps, fans, etc.).
  • 49.
    • The governingequation for convection is: • Where h is the heat transfer coefficient (W/m2 K or W/m2 ◦C ), A is the surface area, and Ts and Ta are the surface of wall and ambient temperatures, respectively.  as TThAq 
  • 50.
    Radiant Heat Transfer (1)No medium is required for its propagation. (2) Energy transfer by radiation is maximum when the two Surfaces are separated by vacuum. (3) Radiation heat transfer rate equation is given by the Stefan-Boltzmann law of thermal radiation: q: rate of radiant energy emission (W); A: area of emitting surface (m2); T: absolute temperature; s: Stefan- Boltzmann Constant = 5.676 x 10-8 W/m2-K4 4T A q s
  • 51.
    Radiation which isgiven off by a body because of its temperature is called thermal radiation A body of a temperature larger than 0 K emits thermal radiation
  • 52.
  • 53.
    • Radiation =Radiates (heat escaping the sun)
  • 55.
  • 57.
    • Solar radiationis often called short-wave radiation, and atmospheric radiation is often called long-wave radiation. • Solar radiation has wavelengths mainly between 0.3µm and 3µm; atmospheric radiation has wavelengths mainly between 5µm and 50 µm