## THERMAL SCIENCE

International Scientific Journal

### THE NEW ANALYTICAL STUDY FOR BOUNDARY-LAYER SLIP FLOW AND HEAT TRANSFER OF NANOFLUID OVER A STRETCHING SHEET

**ABSTRACT**

In this article, the semi-analytical/numerical technique known as the homotopy analysis method (HAM) is employed to derive solutions for partial slip effects on the heat transfer of nanofluids over a stretching sheet. An accurate analytical solution is presented which depends on the Prandtl number, slip factor, Lewis number, Brownian motion number, and thermophoresis number. The variation of the reduced Nusselt and reduced Sherwood numbers with Brownian motion number, and thermophoresis number for various values Prandtl number, slip factor, Lewis number is presented in tabular and graphical forms. The results of the present article show the flow velocity and the surface shear stress on the stretching sheet and also reduced Nusselt number and reduced Sherwood number are strongly influenced by the slip parameter. It is found that hydrodynamic boundary layer decreases and thermal boundary layer increases with slip parameter. Comparison of the present analysis is made with the previously existing literature and an appreciable agreement in the values is observed for the limiting case.

**KEYWORDS**

PAPER SUBMITTED: 2014-04-24

PAPER REVISED: 2015-01-31

PAPER ACCEPTED: 2015-03-06

PUBLISHED ONLINE: 2015-04-04

**THERMAL SCIENCE** YEAR

**2017**, VOLUME

**21**, ISSUE

**Issue 1**, PAGES [289 - 301]

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