## THERMAL SCIENCE

International Scientific Journal

### IRREVERSIBILITY ANALYSIS OF MAGNETO-HYDRODYNAMIC NANOFLUID FLOW INJECTED THROUGH A ROTARY DISK

**ABSTRACT**

The non-linear Navier-Stokes equations governed on the nanofluid flow injected through a rotary porous disk in the presence of an external uniform vertical magnetic field can be changed to a system of non-linear partial differential equations by applying similar parameter. In this study, partial differential equations are analytically solved by the modified differential transform method, Pade differential transformation method to obtain self-similar functions of motion and temperature. A very good agreement is observed between the obtained results of Pade differential transformation method and those of previously published ones. Then it has become possible to do a comprehensive parametric analysis on the entropy generation in this case to demonstrate the effects of physical flow parameters such as magnetic interaction parameter, injection parameter, nanoparticle volume fraction, dimensionless temperature difference, rotational Brinkman number and the type of nanofluid on the problem.

**KEYWORDS**

PAPER SUBMITTED: 2014-10-10

PAPER REVISED: 2015-01-21

PAPER ACCEPTED: 2015-02-02

PUBLISHED ONLINE: 2015-08-02

**THERMAL SCIENCE** YEAR

**2015**, VOLUME

**19**, ISSUE

**Supplement 1**, PAGES [S197 - S204]

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