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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 6344
Develop a Black Body and Analyze its Emission characteristic w.r.t.
Temperature variation
Soham Kulkarni1, Vrushabh Avachar2, Vishal Landage3, Dr. R. S. Bindu4
1Student, Mechanical Engg. Dept., Dr. D.Y.Patil Institute of Technology, Pune, Maharashtra, India
2Student, Mechanical Engg. Dept., Dr. D.Y.Patil Institute of Technology, Pune, Maharashtra, India
3Student, Mechanical Engg. Dept., Dr. D.Y.Patil Institute of Technology, Pune, Maharashtra, India
4Professor, Mechanical Engg. Dept., Dr. D.Y.Patil Institute of Technology, Pune, Maharashtra, India
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract – A blackbody is a fundamental concept in
thermodynamic and radiation. A perfectmodelofblackbodyis
characterized by emissivity =1 which isdifficulttobeobtained.
A blackbody is an object that absorb electromagnetic
radiation totally regardless of its direction and wavelength.
The blackbody has also ability to emit the energy thus it is
considered as a perfect radiator. There are laws of radiation
which require emissivity characteristics of a body which is
measured with respect to a perfect black body. But in order to
validate these laws; developing and constructing a blackbody
is a key thing. The main purpose of this paper is to develop an
experimental setup an approximate blackbody to analyze
emissivity characteristics and to validate laws of radiation.
Key Words: Blackbody Radiation, Emissivity, Heat
Transfer, Thermodynamics, Radiation, Experimental
setup
1.INTRODUCTION
The revolutionarythinking thatstarted at the beginning of
the twentieth century was centered around the concept of
Blackbody whose experimental implications could not be
explained by the theories then in use now called classic
mechanics. Eventually the results from theblackbodyledto
the development of quantum mechanics and brought the
geniuses of Einstein, Planck, and others to the spotlight of
modern physics. Experimental setups of blackbodies have
been extensively studied in the last hundred years by
numerous groups and its modern applications are vast,
ranging from measurements of star surface temperatures
up to radiometer calibrators.
Currently, blackbodies are typically used for calibration
purposes of imagining and sensing instruments such as
infrared thermometers, metrology, spectrographs, and
other industrial processes. Although much experimental
work has been carried out with blackbodies, most modern
physicists and physics students do not everstepinfrontofa
tangible blackbody. This is due in great part to the fact that
they are difficult to design and build, and are operated at
high temperatures. The term blackbody refers to a
hypothetic object that completely absorbs all wavelengths
of electromagnetic radiation incident to it.Suchabodydoes
not reflect light, and therefore appears black if its
temperature is low enough so as not to be self- luminous.
When the blackbody is heated to a given temperature it
emits radiation atall wavelengths.Forablackbody,boththe
emissivity and absorptivity are unity. Hence, for validating
every law of radiation; blackbody setup plays very
important role.Designinganddevelopingablackbodyisvery
difficulttaskinwhichanalyzingtheemissivitycharacteristics
with temperature variation is main objective. So, we are
designing a setup of a spherical body which is used as a
blackbody. This setup is very useful for the various
experiments used to validate laws of radiation, analyzing
emissivity characteristics, etc. this setup can also be useful
for students to understand concepts like radiation transfer
and behavior ofblackbody.
2. DEVELOPMENT OF BLACKBODY
2.1 Construction of Blackbody
Developing a blackbody setup is actually creating physical
conditions like orientation, shape, size and selection of
coating material which together can be suitable to act as a
blackbody. The setup consists of two spheres of different
dimensions, one sphere of diameter 100 mm with thickness
of 2 mm and another hollow sphere having diameter 200
mm and thickness 5 mm. second sphere of bigger diameter
encloses the smaller diameter sphere inside it. Both the
spheres are acting as a blackbody for the calculation of
emissivity characteristics.
Table -1: Specifications
Component Specifications
Inner Sphere
Diameter – 104 mm
Outer Sphere Diameter – 210 mm
Clamp Heater 250 Watt
Air Heater 1000 Watt
The selection of sphere as a shape of the body is highly
feasible for the radiation heat transfer on the basis of ‘View
factor’ [ View factor is the fraction of the radiation leaving
surface 1 that strikes surface 2 directly]. In a setup that
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 6345
consists of two concentric spheres, the view factorF1 → 2 is
equal to 1 since the entire radiationleavingthesurfaceof the
smaller sphere will be intercepted by the larger sphere. the
inner sphere consist of a heater and outer sphere is heated
by the means of air heater which is in the chamber in which
the spheres are located.
Fig -1: Inner and outer sphere as a Blackbody
Both the spheres used are made up of copper, copper is the
good conductor of heat and also thermal diffusivity of the
copper is good which is an essential property required for
this setup. the outer sphere is made as two hemispherical
halves which are later joined withthe bolts.Bothspheresare
manufactured using hammering manually by gradually
giving shape of curvature required for sphere. As copper is
ductile material and easy to deform hence for a given
thickness of outer sphere it was suitable.
The coating on the inner surface of the outer sphere is
supposed to act as a blackbody. Hence, to meet the
requirements of the ideal blackbody i.e. Absorptivity and
emissivity should be approximately 1; coating material is
selected accordingly. ‘Heat Resistant Black Matte Finish
Paint’ is used for coating material. It has emissivity and
absorptivity as around of 0.95 and also it can sustain the
temperature around 750 degree Celsius.
There are other measuring and controlling instruments
mounted on the setup like Thermocouple (K- Type),
Temperature Indicators (12 Channels) and Dimmer stat
(2000W for both heaters).
2.2 Validation of Emissivity
Fig -2: Schematic of Setup
The emissivity of the material used for coating is known but,
in this setup, the coating is applied on the copper surface.
For the better results and as there is radiation involved,
there is vacuum maintained betweentwospheres. Hence, for
the validation of heat transfer laws there is need to calculate
the actual emissivity of coating, the process used is as
follows,
First the outer sphere is heated and maintained to a steady
state temperature (To).
∆T = Tfinal - Tinitial
Tinitial – Temperature at start of time ‘t’.
Tfinal – Temperature after time ‘t’.
Mo – mass of inner sphere
C – Heat required to raise the temperature of Copperperunit
mass by 1oC
ɛ – Emissivity of blackbody
Ac – curved surface area of surface
‘𝞮’ can be found here
3. RESULTS
Table -2: Result table for Emissivity
Temperatures
(Celsius)
Emissivity
( 𝞮)
60 0.84
65 0.85
70 0.86
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 6346
3. CONCLUSION
This setup is an attempt to develop a body whichwill actasa
blackbody i.e. the body should have emissivity and
absorptivity near to 1. In this attempt a blackbody is
developed considering all the factors like size, shape,
orientation and materials. Hence, blackbody developed in
this setup can give around 0.85 value of emissivity and
absorptivity. There are some errors due to which the results
are affected because of human errors in measurement,
possibility of poor vacuum and environmental conditions
etc. This setup is very useful in validating all the lawsofheat
transfer as in every heat transfer experiment blackbody
plays an important role.
REFERENCES
[1] Yunus A. Cengel, Heat Transfer-A Practical Approach,
5th ed., McGraw Hill Education, India, 2017, Chapter-
11 and 12.
[2] Theodore L. Bergman, Adrienne S. Lavine, Frank P.
Incropera and David P. Dewitt,Fundamentals of Heat
and Mass Transfer, 7th ed., John Wiley & Sons,USA,
2011, Chapter-12,13.
[3] Xiaoming Lu,Qishan Tang,Wendong Kang, ‘Research
and Verification of Blackbody Radiation Law’, Insight -
Physics(2018.1)
[4] John Crepeau, University of Idaho, Department of
Mechanical Engineering, PO Box440902,Moscow,ID
83844-0902 USA
[5] Marcello Carlaa, Department of Physics and
Astronomy, University of Florence, Via G. Sansone 1,
50019 Sesto Fiorentino (FI),Italy
[6] Professor Joseph Agassi, Radiation theory and
Quantum Revolution,Department of Philosophy, Tel-
Aviv University, Israel.
[7] M. Fidali, M. Mikulski, ‘An inexpensive model of
blackbody’ at QIRT 2018 conference
[8] Waqas MS*, Muhammad Ali H and Malik AH,
Department of Mechanical and Aeronautical
Engineering, University of Engineering and
Technology Taxila P.O Box 46000 Taxila, Pakistan
[9] Space research institute of Russian academy sciences,
Encountering Radiation, Chapter-6, Moscow, Russia

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IRJET- Develop a Black Body and Analyze its Emission Characteristic W.R.T. Temperature Variation

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 6344 Develop a Black Body and Analyze its Emission characteristic w.r.t. Temperature variation Soham Kulkarni1, Vrushabh Avachar2, Vishal Landage3, Dr. R. S. Bindu4 1Student, Mechanical Engg. Dept., Dr. D.Y.Patil Institute of Technology, Pune, Maharashtra, India 2Student, Mechanical Engg. Dept., Dr. D.Y.Patil Institute of Technology, Pune, Maharashtra, India 3Student, Mechanical Engg. Dept., Dr. D.Y.Patil Institute of Technology, Pune, Maharashtra, India 4Professor, Mechanical Engg. Dept., Dr. D.Y.Patil Institute of Technology, Pune, Maharashtra, India ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract – A blackbody is a fundamental concept in thermodynamic and radiation. A perfectmodelofblackbodyis characterized by emissivity =1 which isdifficulttobeobtained. A blackbody is an object that absorb electromagnetic radiation totally regardless of its direction and wavelength. The blackbody has also ability to emit the energy thus it is considered as a perfect radiator. There are laws of radiation which require emissivity characteristics of a body which is measured with respect to a perfect black body. But in order to validate these laws; developing and constructing a blackbody is a key thing. The main purpose of this paper is to develop an experimental setup an approximate blackbody to analyze emissivity characteristics and to validate laws of radiation. Key Words: Blackbody Radiation, Emissivity, Heat Transfer, Thermodynamics, Radiation, Experimental setup 1.INTRODUCTION The revolutionarythinking thatstarted at the beginning of the twentieth century was centered around the concept of Blackbody whose experimental implications could not be explained by the theories then in use now called classic mechanics. Eventually the results from theblackbodyledto the development of quantum mechanics and brought the geniuses of Einstein, Planck, and others to the spotlight of modern physics. Experimental setups of blackbodies have been extensively studied in the last hundred years by numerous groups and its modern applications are vast, ranging from measurements of star surface temperatures up to radiometer calibrators. Currently, blackbodies are typically used for calibration purposes of imagining and sensing instruments such as infrared thermometers, metrology, spectrographs, and other industrial processes. Although much experimental work has been carried out with blackbodies, most modern physicists and physics students do not everstepinfrontofa tangible blackbody. This is due in great part to the fact that they are difficult to design and build, and are operated at high temperatures. The term blackbody refers to a hypothetic object that completely absorbs all wavelengths of electromagnetic radiation incident to it.Suchabodydoes not reflect light, and therefore appears black if its temperature is low enough so as not to be self- luminous. When the blackbody is heated to a given temperature it emits radiation atall wavelengths.Forablackbody,boththe emissivity and absorptivity are unity. Hence, for validating every law of radiation; blackbody setup plays very important role.Designinganddevelopingablackbodyisvery difficulttaskinwhichanalyzingtheemissivitycharacteristics with temperature variation is main objective. So, we are designing a setup of a spherical body which is used as a blackbody. This setup is very useful for the various experiments used to validate laws of radiation, analyzing emissivity characteristics, etc. this setup can also be useful for students to understand concepts like radiation transfer and behavior ofblackbody. 2. DEVELOPMENT OF BLACKBODY 2.1 Construction of Blackbody Developing a blackbody setup is actually creating physical conditions like orientation, shape, size and selection of coating material which together can be suitable to act as a blackbody. The setup consists of two spheres of different dimensions, one sphere of diameter 100 mm with thickness of 2 mm and another hollow sphere having diameter 200 mm and thickness 5 mm. second sphere of bigger diameter encloses the smaller diameter sphere inside it. Both the spheres are acting as a blackbody for the calculation of emissivity characteristics. Table -1: Specifications Component Specifications Inner Sphere Diameter – 104 mm Outer Sphere Diameter – 210 mm Clamp Heater 250 Watt Air Heater 1000 Watt The selection of sphere as a shape of the body is highly feasible for the radiation heat transfer on the basis of ‘View factor’ [ View factor is the fraction of the radiation leaving surface 1 that strikes surface 2 directly]. In a setup that
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 6345 consists of two concentric spheres, the view factorF1 → 2 is equal to 1 since the entire radiationleavingthesurfaceof the smaller sphere will be intercepted by the larger sphere. the inner sphere consist of a heater and outer sphere is heated by the means of air heater which is in the chamber in which the spheres are located. Fig -1: Inner and outer sphere as a Blackbody Both the spheres used are made up of copper, copper is the good conductor of heat and also thermal diffusivity of the copper is good which is an essential property required for this setup. the outer sphere is made as two hemispherical halves which are later joined withthe bolts.Bothspheresare manufactured using hammering manually by gradually giving shape of curvature required for sphere. As copper is ductile material and easy to deform hence for a given thickness of outer sphere it was suitable. The coating on the inner surface of the outer sphere is supposed to act as a blackbody. Hence, to meet the requirements of the ideal blackbody i.e. Absorptivity and emissivity should be approximately 1; coating material is selected accordingly. ‘Heat Resistant Black Matte Finish Paint’ is used for coating material. It has emissivity and absorptivity as around of 0.95 and also it can sustain the temperature around 750 degree Celsius. There are other measuring and controlling instruments mounted on the setup like Thermocouple (K- Type), Temperature Indicators (12 Channels) and Dimmer stat (2000W for both heaters). 2.2 Validation of Emissivity Fig -2: Schematic of Setup The emissivity of the material used for coating is known but, in this setup, the coating is applied on the copper surface. For the better results and as there is radiation involved, there is vacuum maintained betweentwospheres. Hence, for the validation of heat transfer laws there is need to calculate the actual emissivity of coating, the process used is as follows, First the outer sphere is heated and maintained to a steady state temperature (To). ∆T = Tfinal - Tinitial Tinitial – Temperature at start of time ‘t’. Tfinal – Temperature after time ‘t’. Mo – mass of inner sphere C – Heat required to raise the temperature of Copperperunit mass by 1oC ɛ – Emissivity of blackbody Ac – curved surface area of surface ‘𝞮’ can be found here 3. RESULTS Table -2: Result table for Emissivity Temperatures (Celsius) Emissivity ( 𝞮) 60 0.84 65 0.85 70 0.86
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 6346 3. CONCLUSION This setup is an attempt to develop a body whichwill actasa blackbody i.e. the body should have emissivity and absorptivity near to 1. In this attempt a blackbody is developed considering all the factors like size, shape, orientation and materials. Hence, blackbody developed in this setup can give around 0.85 value of emissivity and absorptivity. There are some errors due to which the results are affected because of human errors in measurement, possibility of poor vacuum and environmental conditions etc. This setup is very useful in validating all the lawsofheat transfer as in every heat transfer experiment blackbody plays an important role. REFERENCES [1] Yunus A. Cengel, Heat Transfer-A Practical Approach, 5th ed., McGraw Hill Education, India, 2017, Chapter- 11 and 12. [2] Theodore L. Bergman, Adrienne S. Lavine, Frank P. Incropera and David P. Dewitt,Fundamentals of Heat and Mass Transfer, 7th ed., John Wiley & Sons,USA, 2011, Chapter-12,13. [3] Xiaoming Lu,Qishan Tang,Wendong Kang, ‘Research and Verification of Blackbody Radiation Law’, Insight - Physics(2018.1) [4] John Crepeau, University of Idaho, Department of Mechanical Engineering, PO Box440902,Moscow,ID 83844-0902 USA [5] Marcello Carlaa, Department of Physics and Astronomy, University of Florence, Via G. Sansone 1, 50019 Sesto Fiorentino (FI),Italy [6] Professor Joseph Agassi, Radiation theory and Quantum Revolution,Department of Philosophy, Tel- Aviv University, Israel. [7] M. Fidali, M. Mikulski, ‘An inexpensive model of blackbody’ at QIRT 2018 conference [8] Waqas MS*, Muhammad Ali H and Malik AH, Department of Mechanical and Aeronautical Engineering, University of Engineering and Technology Taxila P.O Box 46000 Taxila, Pakistan [9] Space research institute of Russian academy sciences, Encountering Radiation, Chapter-6, Moscow, Russia