FLOW BEHAVIOR OF UNSTEADY INCOMPRESSIBLE NEWTONIAN FLUID FLOW BETWEEN TWO PARALLEL PLATES VIA HOMOTOPY ANALYSIS METHOD

Authors

  • D GANGI
  • ALI HOSHYAR

Keywords:

POROUS FIN, LEAST SQUARE METHOD, TEMPERATURE-DEPENDENT HEAT GENERATION

Abstract

IN THIS STUDY, A CONCEPT OF COLLOCATION METHOD (CM), LEAST SQUARE METHOD(LSM) AND HOMOTPY ANALYSIS METHOD (HAM) ARE INTRODUCED AND THEN USED TO OBTAIN A SIMPLE AND ACCURATE SOLUTION FOR PREDICTING THE TEMPERATURE DISTRIBUTION IN A POROUS FIN. HEAT GENERATION, CONVECTION AND RADIATION ARE CONSIDERED AND HEAT TRANSFER THROUGH POROUS MEDIA IS SIMULATED USING PASSAGE VELOCITY FROM THE DARCY'S MODEL. FOURTH ORDER RUNGE-KUTTA METHOD (NUM) IS APPLIED FOR PREDICTING THE TEMPERATURE DISTRIBUTION IN THE POROUS FINS. THE OBTAINED RESULT FROM CM AND HAM IS COMPARED WITH A NUMERICAL METHOD FOR VALIDATION. THE PRESENT RESULTS ARE EASILY SHOWS THAT DESPITE ITS SIMPLICITY, CM AND HAM OFFERS SUPERIOR ACCURACY COMPARED WITH BVP.

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Published

2015-02-07

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Section

Articles