# MHD mixed convection oblique stagnation-point flow on a vertical plate

Giulia Giantesio (Dipartimento di Matematica e Fisica, Universitá Cattolica del Sacro Cuore, Brescia, Italy)
Anna Verna (Universita degli Studi di Ferrara, Ferrara, Italy)
Natalia C. Roşca (Department of Mathematics, Faculty of Mathematics and Computer Science, Babes-Bolyai University, Cluj-Napoca, Romania)
Alin V. Rosca (Department of Statistics-Forecasts-Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania)
Ioan Pop (Department of Mathematics, Faculty of Mathematics and Computer Science, Babes-Bolyai University, Cluj-Napoca, Romania)

ISSN: 0961-5539

Article publication date: 4 December 2017

103

## Abstract

### Purpose

This paper aims to study the problem of the steady plane oblique stagnation-point flow of an electrically conducting Newtonian fluid impinging on a heated vertical sheet. The temperature of the plate varies linearly with the distance from the stagnation point.

### Design/methodology/approach

The governing boundary layer equations are transformed into a system of ordinary differential equations using the similarity transformations. The system is then solved numerically using the “bvp4c” function in MATLAB.

### Findings

An exact similarity solution of the magnetohydrodynamic (MHD) Navier–Stokes equations under the Boussinesq approximation is obtained. Numerical solutions of the relevant functions and the structure of the flow field are presented and discussed for several values of the parameters which influence the motion: the Hartmann number, the parameter describing the oblique part of the motion, the Prandtl number (Pr) and the Richardson numbers. Dual solutions exist for several values of the parameters.

### Originality value

The present results are original and new for the problem of MHD mixed convection oblique stagnation-point flow of a Newtonian fluid over a vertical flat plate, with the effect of induced magnetic field and temperature.

## Acknowledgements

The authors are grateful to the competent reviewers for their suggestions.

## Citation

Giantesio, G., Verna, A., Roşca, N.C., Rosca, A.V. and Pop, I. (2017), "MHD mixed convection oblique stagnation-point flow on a vertical plate", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 27 No. 12, pp. 2744-2767. https://doi.org/10.1108/HFF-12-2016-0486

## Publisher

:

Emerald Publishing Limited