Abstract
In the present paper, a new analytical model based on the Frobenius power series is developed for the thermal analysis of an annular disc fin. The temperature distribution in fins has been determined with the help of an infinite Frobenius power series. A linear variation of temperature-dependent internal volumetric heat generation inside the fin has been taken into account. The fin performances have been evaluated over a wide range of thermo-geometric parameters. From the results, it can be highlighted that the maximum fin performances have been achieved at a particular value of thermo-geometric parameter for the internal heat generation which can be the practical design condition to operate a fin for enhancing more heat transfer rate.
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References
Kraus, A.D., Aziz, A., Welty, J.R.: Extended Surface Heat Transfer. Wiley (2001)
Melese, G.B., Wilkins, J.E.: In: Proceeding of Third International Heat Transfer Conference, vol. III9A.I.Ch.E., pp. 272–280. New York (1966)
Liu, C.Y.: Quart. Appl. Math. XIX 930 919610, pp. 245–251
Ahmadi, G., Razani, A.: On optimization of circular fins with heat generation. J. Frankl. Inst. 303(2), 211–218 (1977)
Aziz, A., Torabi, M., Zhang, K.: Convective-radiative radial fins with convective base heating and convective-radiative tip cooling: homogeneous and functionally graded materials. Energy Convers. Manag. 74, 366–376 (2013)
Kundu, B., Das, P.K.: Performance analysis and optimization of eccentric annular disc fins. J. Heat Transf. Trans. ASME 105(1), 128–135 (1999)
Hatami, M., Ganji, D.D.: Thermal performance of circular convective-radiative porous fins with different section shapes and materials. Energy Convers. Manag. 76, 185–193 (2013)
Kundu, B.: Analysis of thermal performance and optimization of concentric circular fins under dehumidifying conditions. Int. J. Heat Mass Trans. 52(11–12), 2646–2659 (2009)
Kundu, B., Das, P.K.: Optimum profile of thin fins with volumetric heat generation: a unified approach. J. Heat Transf. 127(8), 945–948 (2005)
Fabbri, G.: Optimum performance of longitudinal convective fins with symmetrical and asymmetrical profiles. Int. J. Heat Fluid Flow 20(6), 634–641 (1999)
Kundu, B., Lee, K.S.: A novel analysis for calculating the smallest envelope shape of wet fins with a nonlinear mode of surface transport. Energy 44(1), 527–543 (2012)
Hanin, L., Campo, A.: New minimum volume straight cooling fin taking into account the length of arc. Int. J. Heat Mass Transf. 46(26), 5145–5152 (2003)
Minkler, W.S., Rouleau, W.T.: The effects of internal heat generation on heat transfer in thin fins. Nucl. Sci. Eng. 7, 400–406 (1960)
Kundu, B., Das, P.K.: Performance analysis and optimization of annular fin with a step change in thickness. J. Heat Transf. Trans. ASME 123(3), 601–604 (2001)
Kundu, B., Lee, K.S.: Exact analysis for minimum shape of porous fins under convection and radiation heat exchange with surrounding. Int. J. Heat Mass Transf. 81, 439–448 (2015)
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Majhi, T., Kundu, B. (2020). New Approach for Determining Fin Performances of an Annular Disc Fin with Internal Heat Generation. In: Biswal, B., Sarkar, B., Mahanta, P. (eds) Advances in Mechanical Engineering. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-0124-1_92
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DOI: https://doi.org/10.1007/978-981-15-0124-1_92
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