Heat Transfer Study Through Porous Pin Fins with Variable Section Shapes by Using Analytical Method
The present work investigates the temperature distribution, heat transfer rate, Efficiency and optimization of porous pin fins. The thickness varies along the length of the fin and the lateral surface equation is defined as functions that include diversification fins (rectangular, triangular, convex parabolic and concave parabolic sections). Fins are made of aluminum and the tips of fins are insulated. Furthermore, It is assumed the heat transfer coefficient depends on temperature and during the fin it changes with temperature changes. In order to write the heat transfer equation, energy balance and Darcy model is used. After presenting the governing equation to obtain the temperature distribution, Least Square Method (LSM) is applied. Comparison the results between analytical solution and numerical outcome (fourth order Runge-Kutta method) shows that LSM is a convenient and power full method in engineering problems. After that, effects of various geometric and thermophysical parameters (Power index for geometry (n), porosity, Biot number and etc.) on the dimensionless temperature fin, efficiency and heat transfer rate are examined. The Optimum design analysis was also carried out.
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Document Type: Research Article
Publication date: December 1, 2014
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