Thermal analysis of a convective–conductive–radiative annular porous fin with variable thermal parameters and internal heat generation

The thermal characteristics of annular porous fins with rectangular and hyperbolic cross-sections and internal heat generation were comprehensively studied by the homotopy perturbation method (HPM). The convective–conductive–radiative mode of heat transfer was considered in the current analysis. All...

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Bibliographic Details
Published in:Journal of thermal analysis and calorimetry 2022-01, Vol.147 (2), p.1519-1533
Main Authors: Venkitesh, V., Mallick, Ashis
Format: Article
Language:English
Subjects:
Analytical Chemistry
Chemistry
Chemistry and Materials Science
Closed form solutions
Exact solutions
Fins
Heat generation
Heat transfer
Initial conditions
Inorganic Chemistry
Measurement Science and Instrumentation
Parameters
Perturbation methods
Physical Chemistry
Polymer Sciences
Porous media
Temperature distribution
Thermal analysis
Thermodynamic properties
Thermoelectricity
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Summary:The thermal characteristics of annular porous fins with rectangular and hyperbolic cross-sections and internal heat generation were comprehensively studied by the homotopy perturbation method (HPM). The convective–conductive–radiative mode of heat transfer was considered in the current analysis. All thermal parameters were considered as a function of temperature. An approximate closed-form solution was obtained by solving the nonlinear heat transfer equation using HPM. Darcy’s model was employed to formulate the governing equation of heat transfer through porous media. Unknown constants were the initial approximations of the solution and were evaluated based on the boundary and initial conditions of the problem. The effects of pores and different thermal parameters on the dimensionless temperature distribution and the fin efficiency were graphically presented. In order to evaluate the accuracy of the closed-form solution, the obtained results (for both dimensional and non-dimensional forms) were validated by numerical solutions.
ISSN:1388-6150
1588-2926
DOI:10.1007/s10973-020-10384-9