Analytic Approximate Solutions of Mixed Convection about an Inclined Flat Plate Embedded in a Porous Medium Filled with Nanofluids

Abstract

This work is focused on the study of the mixed convection heat transfer over an inclined flat plate in a porous medium saturated with nanofluids. The governed partial differential equations are transformed into ordinary differential equations, which are obtained by similarity solution. A Padé technique is introduced and combined with differential transform method (DTM) with the aim of extending the convergence area of the series solutions. Comparisons are made between the results of the proposed method and the numerical method (fourth-order Rung–Kutta), as well as available results from the literature in solving this problem, and excellent agreement has been observed. The effects of the pertinent parameters, namely wall suction/injection parameter, mixed convection parameter, prescribed constant, nanoparticles volume fraction factor, and different nanoparticles, on the temperature distribution along with local Nusselt number are presented graphically and the physical aspects of the problem are highlighted and discussed.

Keywords:

• Mixed Convection
• Nanofluid
• Porous Media
• DTM-Padé Technique

Acknowledgments

The authors wish to express their sincere thanks to the anonymous reviewers for their valuable and interesting comments and suggestions.