Stagnation Point Flow of Nanofluid over a Moving Plate with Convective Boundary Condition and Magnetohydrodynamics

Fazle Mabood,Stanford Shateyi,Nopparat Pochai

doi:10.1155/2016/5874864

Abstract

A theoretical investigation is carried out to examine the effects of volume fraction of nanoparticles, suction/injection, and convective heat and mass transfer parameters on MHD stagnation point flow of water-based nanofluids (Cu and Ag). The governing partial differential equations for the fluid flow, temperature, and concentration are reduced to a system of nonlinear ordinary differential equations. The derived similarity equations and corresponding boundary conditions are solved numerically using Runge-Kutta Fehlberg fourth-fifth order method. To exhibit the effect of the controlling parameters on the dimensionless velocity, temperature, nanoparticle volume fraction, skin friction factor, and local Nusselt and local Sherwood numbers, numerical results are presented in graphical and tabular forms. It is found that the friction factor and heat and mass transfer rates increase with magnetic field and suction/injection parameters.

Highlights

In recent years, the requirements of modern technology have encouraged interest in fluid flow studies which involve interaction of several phenomena
Mahapatra et al [10] investigated MHD stagnation point flow of a non-Newtonian fluid towards a stretching sheet and observed that, for a given magnetic parameter, the skin friction increases with an increase in power law index
We considered the two-dimensional, steady, and laminar boundary layer flow of water-based nanofluids containing two types of nanoparticles, Cu and Ag, over a moving flat plate

Summary

Introduction

The requirements of modern technology have encouraged interest in fluid flow studies which involve interaction of several phenomena. The study of a stagnation point flow towards a solid surface in moving fluid is traced back to Hiemenz in 1911. In modern metallurgy and metal-working process, the magnetohydrodynamic (MHD) flow of an electrically conducting fluid towards a stretching surface is significant These processes include the fusing of metals with electrical furnace by using magnetic field and cooling the inner first wall of the nuclear reactor containment vessel where the hot plasma is isolated from the wall by applying a magnetic field. Mahapatra et al [10] investigated MHD stagnation point flow of a non-Newtonian fluid towards a stretching sheet and observed that, for a given magnetic parameter, the skin friction increases with an increase in power law index. Our main objective is to analyze the effect of volume fraction of nanoparticles on MHD stagnation point flow towards a moving surface with convective heat and mass transfer parameters. The effects of governing parameters on the dimensionless velocity, temperature, and particle concentration as well as on local skin friction, and Nusselt and Sherwood numbers have been investigated

Mathematical Formulation

Numerical Solution

Results and Discussion

Conclusion