Effects of stretching/shrinking on the thermal performance of a fully wetted convective-radiative longitudinal fin of exponential profile

doi:10.1007/s10483-022-2836-6

Abstract

Abstract: The present investigation focuses on the thermal performance of a fully wet stretching/shrinking longitudinal fin of exponential profile coated with a mechanism like a conveyer belt. The modeled equation is non-dimensionalized and solved by applying the Runge-Kutta-Fehlberg (RKF) method. The effects of parameters such as the wet parameter, the fin shape parameter, and the stretching/shrinking parameter on the heat transfer and thermal characteristics of the fin are graphically analyzed and discussed. It is inferred that the negative effects of motion and internal heat generation on the fin heat transfer rate can be lessened by setting a shrinking mechanism on the fin surface. The current examination is inclined towards practical applications and is beneficial to the design of fins.

Key words: fully wet longitudinal fin, convection, exponential profile, internal heat generation, moving fin

2010 MSC Number:

B. J. GIREESHA, M. L. KEERTHI, G. SOWMYA. Effects of stretching/shrinking on the thermal performance of a fully wetted convective-radiative longitudinal fin of exponential profile. Applied Mathematics and Mechanics (English Edition), 2022, 43(3): 389-402.

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References

[1] KRAUS, A. D., AZIZ, A., and WELTY, J. R. Extended Surface Heat Transfer, John Wiley, New York (2002)
[2] KIWAN, S. Thermal analysis of natural convection porous fins. Transport in Porous Media, 67(1), 17–29(2007)
[3] GORLA, R. S. R. and BAKIER, A. Y. Thermal analysis of natural convection and radiation in porous fins. International Communications in Heat and Mass Transfer, 38(5), 638–645(2011)
[4] TORABI, M. and AZIZ, A. Thermal performance and efficiency of convective-radiative T-shaped fins with temperature dependent thermal conductivity, heat transfer coefficient and surface emissivity. International Communications in Heat and Mass Transfer, 39(8), 1018–1029(2012)
[5] VAHABZADEH, A., GANJI, D. D., and ABBASI, M. Analytical investigation of porous pin fins with variable section in fully-wet conditions. Case Studies in Thermal Engineering, 5, 1–12(2015)
[6] DARVISHI, M. T., KHANI, F., and AZIZ, A. Numerical investigation for a hyperbolic annular fin with temperature dependent thermal conductivity. Propulsion and Power Research, 5(1), 55–62(2016)
[7] OGUNTALA, G., ABD-ALHAMEED, R., and SOBAMOWO, G. On the effect of magnetic field on thermal performance of convective-radiative fin with temperature-dependent thermal conductivity. Karbala International Journal of Modern Science, 4(1), 1–11(2018)
[8] HOSEINZADEH, S., MOAFI, A., SHIRKHANI, A., and CHAMKHA, A. J. Numerical validation heat transfer of rectangular cross-section porous fins. Journal of Thermophysics and Heat Transfer, 33(3), 698–704(2019)
[9] SOWMYA, G., GIREESHA, B. J., KHAN, M. I., MOMANI, S., and HAYAT, T. Thermal investigation of fully wet longitudinal porous fin of functionally graded material. International Journal of Numerical Methods for Heat & Fluid Flow, 30(12), 5087–5101(2020)
[10] KUNDU, B. and YOOK, S. J. An accurate approach for thermal analysis of porous longitudinal, spine and radial fins with all nonlinearity effects-analytical and unified assessment. Applied Mathematics and Computation, 402, 126124(2021)
[11] TURKYILMAZOGLU, M. Thermal management of parabolic pin fin subjected to a uniform oncoming airflow: optimum fin dimensions. Journal of Thermal Analysis and Calorimetry, 143, 3731–3739(2021)
[12] TURKYILMAZOGLU, M. Expanding/contracting fin of rectangular profile. International Journal of Numerical Methods for Heat and Fluid Flow, 31, 1057–1068(2021)
[13] TORABI, M., AZIZ, A., and ZHANG, K. A comparative study of longitudinal fins of rectangular, trapezoidal and concave parabolic profiles with multiple nonlinearities. Energy, 51, 243–256(2013)
[14] TORABI, M. and QIAO, B. Z. Analytical solution for evaluating the thermal performance and efficiency of convective-radiative straight fins with various profiles and considering all non-linearities. Energy Conversion and Management, 66, 199–210(2013)
[15] HATAMI, M. and GANJI, D. D. Thermal behavior of longitudinal convective-radiative porous fins with different section shapes and ceramic materials (SiC and Si₃N₄). Ceramics International, 40(5), 6765–6775(2014)
[16] KUNDU, B. and LEE, K. S. Exact analysis for minimum shape of porous fins under convection and radiation heat exchange with surrounding. International Journal of Heat and Mass Transfer, 81, 439–448(2015)
[17] KUNDU, B., DAS, R., and LEE, K. S. Differential transform method for thermal analysis of exponential fins under sensible and latent heat transfer. Procedia Engineering, 127, 287–294(2015)
[18] TURKYILMAZOGLU, M. Heat transfer from moving exponential fins exposed to heat generation. International Journal of Heat and Mass Transfer, 116, 346–351(2018)
[19] SHARQAWY, M. H. and ZUBAIR, S. M. Efficiency and optimization of straight fins with combined heat and mass transfer — an analytical solution. Applied Thermal Engineering, 28(17-18), 2279–2288(2008)
[20] HATAMI, M., AHANGAR, G. R. M., GANJI, D. D., and BOUBAKER, K. Refrigeration efficiency analysis for fully wet semi-spherical porous fins. Energy Conversion and Management, 84, 533–540(2014)
[21] KHANI, F., DARVISHI, M. T., GORLA, R. S. R., and GIREESHA, B. J. Thermal analysis of a fully wet porous radial fin with natural convection and radiation using the spectral collocation method. International Journal of Applied Mechanics and Engineering, 21(2), 377–392(2016)
[22] SOWMYA, G., GIREESHA, B. J., and BERREHAL, H. An unsteady thermal investigation of a wetted longitudinal porous fin of different profiles. Journal of Thermal Analysis and Calorimetry, 143(3), 2463–2474(2021)
[23] MA, J., SUN, Y. S., and LI, B. W. Simulation of combined conductive, convective and radiative heat transfer in moving irregular porous fins by spectral element method. International Journal of Thermal Sciences, 118, 475–487(2017)
[24] GIREESHA, B. J., SOWMYA, G., and MACHA, M. Temperature distribution analysis in a fully wet moving radial porous fin by finite element method. International Journal of Numerical Methods for Heat & Fluid Flow (2019) https://doi.org/10.1108/HFF-12-2018-0744
[25] MOSAYEBIDORCHEH, S., FARZINPOOR, M., and GANJI, D. D. Transient thermal analysis of longitudinal fins with internal heat generation considering temperature-dependent properties and different fin profiles. Energy Conversion and Management, 86, 365–370(2014)
[26] ALKASASSBEH, M., OMAR, Z., MEBAREK-OUDINA, F., RAZA, J., and CHAMKHA, A. Heat transfer study of convective fin with temperature-dependent internal heat generation by hybrid block method. Heat Transfer-Asian Research, 48(4), 1225–1244(2019)
[27] TURKYILMAZOGLU, M. Stretching/shrinking longitudinal fins of rectangular profile and heat transfer. Energy Conversion and Management, 91, 199–203(2015)
[28] MOSAVAT, M., MORADI, R., TAKAMI, M. R., GERDROODBARY, M. B., and GANJI, D. D. Heat transfer study of mechanical face seal and fin by analytical method. Engineering Science and Technology, an International Journal, 21(3), 380–388(2018)
[29] ROY, P. K., MALLICK, A., MONDAL, H., and SIBANDA, P. A modified decomposition solution of triangular moving fin with multiple variable thermal properties. Arabian Journal for Science and Engineering, 43(3), 1485–1497(2018)
[30] AZIZ, A. and TORABI, M. Convective-radiative fins with simultaneous variation of thermal conductivity, heat transfer coefficient, and surface emissivity with temperature. Heat Transfer-Asian Research, 41(2), 99–113(2012)
[31] AZIZ, M. and BOUAZIZ, M. N. A least squares method for a longitudinal fin with temperature dependent internal heat generation and thermal conductivity. Energy Conversion and Management, 52(8-9), 2876–2882(2011)
[32] TORABI, M., YAGHOOBI, H., and AZIZ, A. Analytical solution for convective-radiative continuously moving fin with temperature-dependent thermal conductivity. International Journal of Thermophysics, 33(5), 924–941(2012)