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Mathematical Modelling of a Box Type Solar Cooker Incorporating Contact Resistance


Affiliations
1 Government Engineering College, Surat, Gujarat, 395 007, India
2 Sardar Vallabhbhai National Institute of Technology, Surat, Gujarat, 395 007, India
 

A solar cooker is a device that uses solar energy to heat food to cook it.  Solar cooking is used to reduce conventional fuel usage and improve the quality of food. Solar cookers have to deal with high concentration heat flows through the contact between metal parts of the absorber plate and the food vessel. For heat transfer, thermal contact resistance plays an important role and it is a major concern to reduce the thermal resistance at the contact. In the present work, mathematical modeling of a lightweight, energy-efficient box-type solar cooker is done by incorporating contact resistance. An experimental setup is developed to find out the thermal contact resistance and thermal contact resistance is evaluated for surface roughness of 0.2 Ra and 0.8 Ra for the Aluminum material. Performance tests of the cooker are carried out to get the figure of merits F1 and F2. Also, the load test with the measured thermal contact resistance is carried out with surface roughness of 0.8 and 0.2 Ra. For surface roughness of 0.2 Ra, the % error is observed as 19.77%, 13.69%, 13.68% considering thermal resistance at joints, and −42.89%, 18.95%, and 16.37% without considering thermal resistance at joints. For surface roughness of 0.8 Ra, the deviation is observed as 23.09%, 17.52%, 13.5% considering thermal resistance at joints and −42.89%, 18.95% and16.37% without considering thermal resistance at joints. The figure of merit F1 is calculated as 0.12 as compared to 0.11 for the commercial cookers, which shows that the newly designed cooker has higher optical efficiency. The figure of merit F2 is calculated as 0.42 against 0.38 for the commercial cookers. The results thus emphasize that thermal contact resistance is important and should be considered during modeling.

 

Keywords

Heat transfer, Metals, Performance test, Surface roughness
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  • Mehta S & Channiwala S A, Comparative study of solar cookers, Proc Nat Solar Energy Convention, (Tata McGraw Hill Publishing Company Limited, New Delhi) Published online 1988, pp. 118–124.

  • Mullick S C, Kandpal T C & Kumar S, Testing of box-type solar cooker: second figure of merit F2 and its variation with load and number of pots, Sol Energy, 57(5) (Published online 1996) 409–413.

  • Funk P A & Larson D L, Parametric model of solar cooker performance. Sol Energy, 62(1) (1998) 63–68.

  • Gawande V B, Dhoble A S & Zodpe D B, Effect of roughness geometries on heat transfer enhancement in solar thermal systems — a review, Renew Sustain Energy Rev, 32 (2014) 347–378.

  • Kumar S, Natural convective heat transfer in trapezoidal enclosure of box-type solar cooker, Renew Energy, 29(2) (2004) 211–222.

  • Goswami V, Harijan H, Pargi S, Pal S C, Vaidya H & Channiwala S, Analysis, design and performance evaluation of a light weight, energy efficient solar cooker, in Int Conf Energy, Environ Econ, 16th -18th August 2016, Heriot-Watt University, Edinburgh United Kingdom, 2016

  • Channiwala S A & Doshi N I, Heat loss coefficients for boxtype solar cookers, Sol Energy, 42(6) (1989) 495–501.

  • Harmim A, Merzouk M, Boukar M & Amar M, Performance study of a box-type solar cooker employing an asymmetric compound parabolic concentrator, Energy, 47(1) (2012) 471–480.

  • Pejack E R, Mathematical model of the thermal performance of box-type solar cookers, Renew Energy, 1(5) (1991) 609–615.

  • Terres H, Lizardi A, López R, Vaca M & Chávez S, Mathematical model to study solar cookers box-type with internal reflectors, Energy Procedia, 57 (2014) 1583–1592.

  • Das T C T, Karmakar S & Rao D P, Solar box-cooker: Part I—Modeling, Sol Energy, 52(3) (1994) 265–272.

  • El-Sebaii A A, Domański R & Jaworski M, Experimental and theoretical investigation of a box-type solar cooker with multistep inner reflectors, Energy, 19(10) (1994) 1011–1021.

  • Nikolić N & Lukić N, A mathematical model for determining the optimal reflector position of a double exposure flat-plate solar collector, Renew energy, 51 (2013) 292–301.

  • Yovanovich M M & Rohsenow W M, Influence of Surface Roughness and Waviness upon Thermal Contact Resistance, Cambridge, Mass.: MIT Dept. of Mechanical Engineering, (1967), pp. 1–180.

  • Liu J, Feng H, Luo X, Hu R & Liu S, A simple setup to test thermal contact resistance between interfaces of two contacted solid materials, Proc 11th Int Conf Electron Packag Technol High Dens Packag, ICEPT-HDP 2010, 2010. doi:10.1109/ICEPT.2010.5582472

  • Khounsary A M, Chojnowski D, Assoufid L & Worek W M, Thermal contact resistance across a copper-silicon interface, in High Heat Flux and Synchrotron Radiation Beamlines, edited by A T Macrander, A M Khounsary, (SPIE) 1997, 45– 51. doi:10.1117/12.294497

  • Tomimura T, Takahashi Y, Do T W, Shigyo K & Koito Y, Simple evaluation method for temperature drop at contact interface between rough surfaces under low contact pressure conditions. in IOP Conf Ser: Mater Sci Eng Vol 61 (2014) 12040.

  • Shlykov Y P & Ganin Y A, Thermal resistance of metallic contacts, Int J Heat Mass Transf, 7(8) (1964) 921–929. 19 Lee S, Early M & Pellilo M, Thermal interface material performance in microelectronics packaging applications, Microelectronics J, 28(1) (1997), xiii–xx.

  • Merrill C T & Garimella S V, Measurement and prediction of thermal contact resistance across coated joints, Exp Heat Transf, 24(2) (2011) 179–200.

  • Mikić B B, Thermal contact conductance; theoretical considerations, Int J Heat Mass Transf, 17(2) (1974) 205–214.

  • Wolff E G & Schneider D A, Prediction of thermal contact resistance between polished surfaces, Int J Heat Mass Transf, 41(22) (1998) 3469–3482.

  • Stewart Jr W E, Determination of thermal contact resistance between metals using a pulse technique, in Symposium on Thermophysical Properties, 6th, Atlanta, Ga, (Published online 1972), 1973, pp. 313–320.

  • Mikic B B & Rohsenow W M, Thermal Contact Resistance, Cambridge, Mass.: MIT Dept. of Mechanical Engineering, 1966, 1-95, doi:10.1007/BF01487469 M4 - Citavi

  • McMillan R & Mikic B B, Thermal Contact Resistance with Non-Uniform Interface Pressures, Cambridge, Mass.: MIT Engineering Projects Laboratory, 1970, 1-99.

  • Cooper M G, Mikic B B & Yovanovich M M, Thermal contact conductance, Int J Heat Mass Transf, 12(3) (1969) 279–300.

  • Sukhatme S P & Nayak J K, Solar Energy (McGraw-Hill Education) 2017.

  • Shlykov Y P & Ganin Y A, Thermal resistance of metallic contacts, Int J Heat Mass Transf, 7(8) (1964) 921–929. doi:10.1016/0017-9310(64)90147-4

  • Popov V M, Generalized relations for determining thermal contact resistance, J Eng Phys, 33(1) (1977) 810–812, doi:10.1007/BF00861420

  • O'Callaghan P W & Probertt S D, "Thermal resistance and directional index of pressed contacts between smooth nonwavy surfaces." J Mech Eng Sci 16(1) (1974) 41–55


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  • Mathematical Modelling of a Box Type Solar Cooker Incorporating Contact Resistance

Abstract Views: 146  |  PDF Views: 83

Authors

H. A. Vaidya
Government Engineering College, Surat, Gujarat, 395 007, India
S. A. Channiwala
Sardar Vallabhbhai National Institute of Technology, Surat, Gujarat, 395 007, India

Abstract


A solar cooker is a device that uses solar energy to heat food to cook it.  Solar cooking is used to reduce conventional fuel usage and improve the quality of food. Solar cookers have to deal with high concentration heat flows through the contact between metal parts of the absorber plate and the food vessel. For heat transfer, thermal contact resistance plays an important role and it is a major concern to reduce the thermal resistance at the contact. In the present work, mathematical modeling of a lightweight, energy-efficient box-type solar cooker is done by incorporating contact resistance. An experimental setup is developed to find out the thermal contact resistance and thermal contact resistance is evaluated for surface roughness of 0.2 Ra and 0.8 Ra for the Aluminum material. Performance tests of the cooker are carried out to get the figure of merits F1 and F2. Also, the load test with the measured thermal contact resistance is carried out with surface roughness of 0.8 and 0.2 Ra. For surface roughness of 0.2 Ra, the % error is observed as 19.77%, 13.69%, 13.68% considering thermal resistance at joints, and −42.89%, 18.95%, and 16.37% without considering thermal resistance at joints. For surface roughness of 0.8 Ra, the deviation is observed as 23.09%, 17.52%, 13.5% considering thermal resistance at joints and −42.89%, 18.95% and16.37% without considering thermal resistance at joints. The figure of merit F1 is calculated as 0.12 as compared to 0.11 for the commercial cookers, which shows that the newly designed cooker has higher optical efficiency. The figure of merit F2 is calculated as 0.42 against 0.38 for the commercial cookers. The results thus emphasize that thermal contact resistance is important and should be considered during modeling.

 

Keywords


Heat transfer, Metals, Performance test, Surface roughness

References