## THERMAL SCIENCE

International Scientific Journal

### HEAT TRANSFER ANALYSIS OF MHD FLOW DUE TO UNSTEADY BI-DIRECTIONAL STRETCHING SHEET THROUGH POROUS SPACE

**ABSTRACT**

In this article unsteady three dimensional MHD boundary layer flow and heat transfer analysis with constant temperature (CT) and constant heat flux (CH) in a porous medium is considered. The boundary layer flow is governed by a bidirectional stretching sheet. Similarity transformations are used to transform the governing non-linear partial differential equations to ordinary differential equations. Analytical solutions are constructed using homotopy analysis method (HAM). Convergence analysis is also presented through tabular data. The quantities of interest are the velocity, temperature, skin friction coefficient and Nusselt number. The obtained results are validated by comparisons with previously published work in special cases. The results of this parametric study are shown graphically and the physical aspects of the problem are discussed.

**KEYWORDS**

PAPER SUBMITTED: 2014-03-13

PAPER REVISED: 2014-07-16

PAPER ACCEPTED: 2014-07-29

PUBLISHED ONLINE: 2014-10-05

**THERMAL SCIENCE** YEAR

**2016**, VOLUME

**20**, ISSUE

**Issue 6**, PAGES [1913 - 1925]

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