[01] Vembu Ananthaswamy, Department of Mathematics, The Madura College, Madurai, Tamil Nadu, India. [02] Moorthi Subha, Department of Mathematics, MSNPM Women’s College, Poovanthi, Tamil Nadu, India. [03] Aliyar Mohamed Fathima, Department of Mathematics, The Madura College, Madurai, Tamil Nadu, India.

In this paper, we discuss the effects of thermal radiation on entropy generation in a temperature dependent viscosity fluid flow in a channel with a naturally permeable wall of very small permeability. A mathematical study on the isothermal and convection boundary conditions and the effects of various pertinent parameters are examined. The approximateanalytical expressions of the dimensionless velocity field, dimensionless temperature field, dimensionless entropy generation number and the dimensionless Bejan number are derived using the Homotopy analysis method. Our analytical results are compared graphically with the numerical solutions and a satisfactory agreement is noted.

Entropy Generation, PoiseuilleFlow, Naturally Permeable, Non-linear Boundary Value Problem, Homotopy Analysis Method

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