A new approximate analytical method (ASM) for solving non-linear boundary value problem in heat transfer through porous fin

  • J. Chitra Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India.
  • Vembu Ananthaswamy The Madura College, Madurai, Tamil Nadu, India.
  • S. Sivasankari The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India.
  • Seenith Sivasundaram College of Science, Engineering and Mathematics, Daytona Beach, Florida 321114, USA

Abstract

An analytical investigation is conducted in this work to resolve the heat transfer through porous fins containing a rectangular cross-section. The new analytical method called ASM is used to compute the explicit approximate analytical solution for the temperature gradient after determining the heat transfer equation. The results are then compared with the numerical method which demonstrates a significant agreement. The results obtained are interlined graphically. Also the fin efficiency and the influence of various parameters such as convection, porosity, radiation and conduction radiation are examined.

Published
2023-02-24