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Application of Bernoulli wavelet method on the convective-radiative Fin with heat generation Cover

Application of Bernoulli wavelet method on the convective-radiative Fin with heat generation

By: Y. Vinod and  K. R. Raghunatha  
Open Access
|Mar 2026

References

  1. Shaukatullah H., Storr W.R., Hansen B.J., Gaynes M.A., Design and optimization of pin fin heat sinks for low velocity applications, IEEE Transactions on Components Packaging and Manufacturing Technology: Part A, 19(4), 486–494, 1996.
  2. Xie G., Wang Q., Sunden B., Application of a genetic algorithm for thermal design of fin-and-tube heat exchangers, Heat Transfer Engineering, 29(7), 597–607, 2008.
  3. Wen M.Y., Ho C.Y., Heat-transfer enhancement in fin-and-tube heat exchanger with improved fin design, Applied Thermal Engineering, 29(5-6), 1050–1057, 2009.
  4. Zheng X., Qi Z., A comprehensive review of offset strip fin and its applications, Applied Thermal Engineering, 139, 61–75, 2018.
  5. Yang X., Guo J., Yang B., Cheng H., Wei P., He Y.L., Design of non-uniformly distributed annular fins for a shell-and-tube thermal energy storage unit, Applied Energy, 279, 115772, 2020.
  6. Yang Q., He Y., Song K., Hou Q., Zhang Q., Wu X., Thermal performance improvement of a circular tube-and-fin heat exchanger by ellipsoidal protrusions on fin surfaces, International Journal of Thermal Sciences, 196, 108746, 2024.
  7. Khan W.A., Aziz A., Transient heat transfer in a heat-generating fin with radiation and convection with temperaturedependent heat transfer coefficient, Heat Transfer–Asian Research, 41(5), 402–417, 2012.
  8. Hajmohammadi M.R., Poozesh S., Nourazar S.S., Manesh A.H., Optimal architecture of heat generating pieces in a fin, Journal of Mechanical Science and Technology, 27, 1143–1149, 2013.
  9. Ghasemi S.E., Hatami M., Ganji D.D., Thermal analysis of convective fin with temperature-dependent thermal conductivity and heat generation, Case Studies in Thermal Engineering, 4, 1–8, 2014.
  10. Das R., Kundu B., Prediction of heat generation in a porous fin from surface temperature, Journal of Thermophysics and Heat Transfer, 31(4), 781–790, 2017.
  11. Sadeghianjahromi A., Wang C.C., Heat transfer enhancement in fin-and-tube heat exchangers–A review on different mechanisms, Renewable and Sustainable Energy Reviews, 137, 110470, 2021.
  12. Zhang S., Mancin S., Pu L., A review and prospective of fin design to improve heat transfer performance of latent thermal energy storage, Journal of Energy Storage, 62, 106825, 2023.
  13. Kiwan S., Effect of radiative losses on the heat transfer from porous fins, International Journal of Thermal Sciences, 46(10), 1046–1055, 2007.
  14. Aziz A., 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.
  15. Ma J., Sun Y., Li B., Chen H., Spectral collocation method for radiative-conductive porous fin with temperature dependent properties, Energy Conversion and Management, 111, 279–288, 2016.
  16. Gireesha B.J., Sowmya G., Khan M.I., Öztop H.F., Flow of hybrid nanofluid across a permeable longitudinal moving fin along with thermal radiation and natural convection, Computer Methods and Programs in Biomedicine, 185, 105166, 2020.
  17. Wang K.J., Shi F., A new fractal model of the convective-radiative fins with temperature-dependent thermal conductivity, Thermal Science, 27(4 Part A), 2831–2837, 2023.
  18. Pavithra C.G., Gireesha B.J., Heat transfer in a wet porous moving inclined longitudinal fin exposed to convection and radiation in the presence of shape-dependent hybrid nanofluid: Adomian decomposition Sumudu transformation approach, Journal of Molecular Liquids, 393, 123582, 2024.
  19. 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 Conversion and Management, 74, 366–376, 2013.
  20. Roy P.K., Mondal H., Mallick A., A decomposition method for convective-radiative fin with heat generation, Ain Shams Engineering Journal, 6(1), 307–313, 2015.
  21. Dogonchi A.S., Ganji D.D., Convection-radiation heat transfer study of moving fin with temperature-dependent thermal conductivity, heat transfer coefficient and heat generation, Applied Thermal Engineering, 103, 705–712, 2016.
  22. Oguntala G.A., Abd-Alhameed R.A., Sobamowo G.M., Eya N., Effects of particles deposition on thermal performance of a convective-radiative heat sink porous fin of an electronic component, Thermal Science and Engineering Progress, 6, 177–185, 2018.
  23. Gouran S., Ghasemi S.E., Mohsenian S., Effect of internal heat source and non-independent thermal properties on a convective-radiative longitudinal fin, Alexandria Engineering Journal, 61(11), 8545–8554, 2022.
  24. Usha B., Gireesha B.J., Thermal analysis of fully wetted porous longitudinal fin of parabolic profile with variable thermal conductivity and convection-radiation, Heat Transfer, 53(2), 422–440, 2024.
  25. Purwadi P.K., Setyahandana B., Harsilo R.B.P., Obtaining the efficiency and effectiveness of fin in unsteady state conditions using explicit finite difference method, International Journal of Applied Sciences and Smart Technologies, 03(01), 111–124, 2021.
  26. Gireesha B.J., Sowmya G., Macha M., Temperature distribution analysis in a fully wet moving radial porous fin by finite element method, International Journal of Numerical Methods for Heat and Fluid Flow, 32(2), 453–468, 2022.
  27. Dumka P., Sharma S., Gautam H., Mishra D.R., Finite volume modelling of an axisymmetric cylindrical fin using python, Research and Applications of Thermal Engineering, 4(3), 1–11, 2021.
  28. Singla R.K., Das R., Adomian decomposition method for a stepped fin with all temperature-dependent modes of heat transfer, International Journal of Heat and Mass Transfer, 82,447–459, 2015.
  29. Hosseini K., Daneshian B., Amanifard N., Ansari R., Homotopy analysis method for a fin with temperature dependent internal heat generation and thermal conductivity, International Journal of Nonlinear Science, 14(2), 201–210, 2012.
  30. Gireesha B.J., Sowmya G., Heat transfer analysis of an inclined porous fin using differential transform method, International Journal of Ambient Energy, 43(1), 3189–3195, 2022.
  31. Shiralashetti S.C., Kumbinarasaiah S., Laguerre wavelets collocation method for the numerical solution of the Benjamina-Bona-Mohany equations, Journal of Taibah University for Science, 13(1), 9–15, 2019.
  32. Vinod Y., Raghunatha K.R., Sangamesh, Nagappanavar S.N., Thermohaline convection in MHD casson fluid over an exponentially stretching sheet, International Journal of Mathematics and Computer in Engineering, 3(2), 201–222, 2024.
  33. Sangamesh, Vinod Y., Waqas H., Raghunatha K.R., Nagappanavar S.N., Mixed convection over an exponentially stretching surface with the effect of radiation and reaction, Nano, 20(05), 2450108, 2025.
  34. Sangamesh, Raghunatha K.R., Vinod Y., Nagappanavar S.N., Waqas H., MHD mixed convection boundary layer casson nanofluid flow over an exponential stretching sheet, Nano, 20(13), 2450165, 2025.
  35. Raghunatha K.R., Vinod Y., Nagappanavar S.N., Sangamesh, Unsteady casson fluid flow on MHD with an internal heat source, Journal of Taibah University for Science, 17(1), 2271691, 2023.
  36. Vinod Y., Nagappanavar S.N., Raghunatha K.R., Sangamesh, Dufour and Soret effects on double diffusive casson fluid flow with the influence of internal heat source, Journal of Umm Al-Qura University for Applied Sciences, 10, 671–681, 2024.
  37. Raghunatha K.R., Vinod Y., Nagappanavar S.N., Sangamesh, Heat and mass transfer on MHD squeezing flow through the porous media using the Bernoulli wavelet method, Pramana, 98(2), 74, 2024.
  38. Vinod Y., Sangamesh, Raghunatha K.R., Nagappanavar S.N., Investigation of squeezing Cu-water casson nanofluid flow with an internal heat source through the Bernoulli wavelet method, Numerical Heat Transfer, Part B: Fundamentals, 86(11), 3758–3780, 2025.
  39. Shiralashetti S.C., Hanaji S.I., Taylor wavelet collocation method for Benjamin-Bona-Mahony partial differential equations, Results in Applied Mathematics, 9, 100139, 2021.
  40. Li Y., Solving a nonlinear fractional differential equation using Chebyshev wavelets, Communications in Nonlinear Science and Numerical Simulation, 15(9), 2284–2292, 2010.
  41. Isah A., Phang C., Genocchi wavelet-like operational matrix and its application for solving non-linear fractional differential equations, Open Physics, 14(1), 463–472, 2016.
  42. Kumbinarasaiah S., Mulimani M., The Fibonacci wavelets approach for the fractional Rosenau-Hyman equations, Results in Control and Optimization, 11, 100221, 2023.
  43. Preetham M.P., Kumbinarasaiah S., A numerical study of two-phase nanofluid MHD boundary layer flow with heat absorption or generation and chemical reaction over an exponentially stretching sheet by Haar wavelet method, Numerical Heat Transfer, Part B: Fundamentals, 85(6), 706–735, 2024.
  44. Rahimkhani P., Ordokhani Y., Babolian E., A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations, Numerical Algorithms, 74, 223–245, 2017.
  45. Mulimani M., Kumbinarasaiah S., Numerical and theoretical analysis of the parabolic partial differential equation through the Bernoulli wavelet collocation scheme, International Journal of Dynamics and Control, 12(11), 4000–4019, 2024.
  46. Shiralashetti S.C., Lamani L.B., Naregal S.S., Numerical solution of integral equations using Bernoulli wavelets, Malaya Journal of Matematik, S(1), 200–205, 2020.
Language: English
Submitted on: Sep 12, 2024
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Accepted on: Jan 1, 2026
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Published on: Mar 18, 2026
Published by: Harran University
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2026 Y. Vinod, K. R. Raghunatha, published by Harran University
This work is licensed under the Creative Commons Attribution 4.0 License.

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