## THERMAL SCIENCE

International Scientific Journal

### EVALUATION OF NATURAL CONVECTION FLOW OF A NANOFLUID OVER A LINEARLY STRETCHING SHEET IN THE PRESENCE OF MAGNETIC FIELD BY THE DIFFERENTIAL TRANSFORMATION METHOD

**ABSTRACT**

In the present study, the convective flow and heat transfer of an incompressible viscous nanofluid past a semi-infinite vertical stretching sheet in the presence of a magnetic field are investigated. The governing partial differential equations with the auxiliary conditions are reduced to ordinary differential equations with the appropriate corresponding conditions via scaling transformations. The semi-analytical solutions of the resulting ordinary differential equations are obtained using differential transformation method coupled with Pade approximation. Comparison with published results is presented which reveals that the applied method is sufficiently accurate for engineering applications.

**KEYWORDS**

PAPER SUBMITTED: 2012-08-12

PAPER REVISED: 2012-09-01

PAPER ACCEPTED: 2012-09-07

**THERMAL SCIENCE** YEAR

**2012**, VOLUME

**16**, ISSUE

**Issue 5**, PAGES [1281 - 1287]

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