Free convective heat for nano-fluids stagnation-point flow a past a shrinking sheet in a saturated porous medium

Document Type : Original Article

Authors

1 Mathematics, Science, Helwan, Cairo, Egypt

2 Mathematics, Science, Helwan , Cairo, Egypt

3 Basic Science, Engineering, Canadian International Collage, Giza, Egypt

Abstract

In this paper, the free convective heat in a steady two- dimensional stagnation-point flow past a stretching or (shrinking) sheet in a porous medium saturated with the nano-fluid is discussed in details. The governing partial differential equations are transformed into the ordinary differential equations by using a similarity transformation. The ordinary differential equations which are obtained are solved numerically by using the Rung-Kutta-Fehlberg method (shooting method). The numerical results which are obtained for different values of the governing parameters which are namely the nano-particle volume fraction parameter πœ‘ , the shrinking parameter πœ†, Prandtl number π‘π‘Ÿ, permeability parameter 𝐾1 and Grashof number πΊπ‘Ÿ and their influence on the velocity and temperature profiles have been presented graphically and discussed in detail . And by assuming that The nano-particle is 𝐢𝑒 with nanometer-size , its diameter less than 50 nm and its shape is the sphere and the based fluid is water .

Keywords

Main Subjects

Files

Share

How to cite

Statistics