Abstract
This paper deals with temperature distribution in a moving fin. Practically, we know that thermal conductivity changes with temperature. So in our study, we consider thermal conductivity as temperature-dependent which is constant, linear, quadratic and exponential. The heat transfer coefficient is taken as a power-law type form in the present work. Internal heat generation has been taken as temperature-dependent. For solving the problem, we used numerical methods such as Legendre wavelet collocation method (LWCM), least square method (LSM) and moment method (MM). An exact solution is computed in a particular case. The percentage error is calculated to find out the most suitable method for solving the problem, which is given in the tabular form. The effect of different parameters on temperature distribution is studied in detail. The whole paper is presented in dimensionless form.
Similar content being viewed by others
References
A D Kraus, A Aziz, J Welty and D P Sekulic, Appl. Mech. Rev. 54(5), B92 (2001)
C A Yunus, Heat transfer, 2nd Edn (McGraw-Hill, 2020)
S Basavarajappa, G Manavendra and S B Prakash, J. Phys. Conf. Ser. 1473(1), 012030 (2020)
T L Bergman, T L Bergman, F P Incropera, D P Dewitt and A S Lavine, Fundamentals of heat and mass transfer, 7th Edn (John Wiley and Sons, 2011)
A S Dogonchi and D D Ganji, Appl. Therm. Eng. 103, 705 (2016)
H C Unal, Int. J. Heat Mass Transf. 30(2), 341 (1987)
A R Shateri and B Salahshour, Int. J. Mech. Sci. 136, 252 (2018)
M Hatami, A Hasanpour and D D Ganji, Energy Convers. Manag. 74, 9 (2013)
M Zerroukat, H Power and C Chen, Int. J. Numer. Methods Eng. 42(7), 1263 (1998)
M G Sobamowo, G A Oguntala, A A Yinusa and A O Adedibu, World Sci. News 137, 166 (2019)
M Torabi and Q bao Zhang, Energy Convers. Manag. 66, 199 (2013)
P K Roy, A Mallick, H Mondal and P Sibanda, Arab. J. Sci. Eng. 43(3), 1485 (2018)
L P Santos, J O M Junior, M D de Campos and E C Romao, Appl. Math. Sci. 7, 6227 (2013)
S Singh, D Kumar and K N Rai, Int. J. Nonlinear Anal. Appl. 6(1), 105 (2015)
A Aziz, Int. Commun. Heat Mass Transf. 12(4), 479 (1985)
A R Shouman, Nonlinear heat transfer and temperature distribution through fins and electric filaments of arbitrary geometry with temperature-dependent properties and heat generation, George C. Marshall Space Flight Centre Huntsville, Ala (NASA, 1968)
S Mosayebidorcheh, M Hatami, T Mosayebidorcheh and D D Ganji, Energy Convers. Manag. 106, 1286 (2015)
M Lindstedt, K Lampio and R Karvinen, J. Heat Transfer 137(6), 061006 (2015)
L O Jayesimi and G Oguntala, J. Appl. Comput. Mech. 49(2), 274 (2018)
M Torabi, H Yaghoobi and A Aziz, Int. J. Thermophys. 33(5), 924 (2012)
S Singh, D Kumar and K N Rai, Int. J. Therm. Sci. 125, 166 (2018)
I Girgin and E Z G I Cuneyt, JNSE 11(1), 53 (2015)
C H Chiu and C O K Chen, J. Heat Transfer 125(2), 312 (2003)
P K Roy, H Mondal and A Mallick, Ain Shams Eng. J. 6(1), 307 (2015)
L Jayesimi and G Oguntala, J. Comput. Appl. Mech. 48(2), 217 (2017)
M Kezzar, I Tabet and M R Eid, Eur. Phys. J. Plus 135(1), 1 (2020)
M Razzaghi and S Yousefi, Int. J. Syst. Sci. 32(4), 495 (2001)
Acknowledgements
The authors are grateful to the Vice-Chancellor of Eternal University, Baru Sahib, India for providing the necessary facilities. Authors are also grateful to the reviewers for their valuable comments which improved the quality of the paper.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kaur, P., Singh, S. Convective radiative moving fin with temperature-dependent thermal conductivity, internal heat generation and heat transfer coefficient. Pramana - J Phys 96, 216 (2022). https://doi.org/10.1007/s12043-022-02459-z
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12043-022-02459-z