FHD flow with heat transfer over a stretchable rotating disk

Abstract

Purpose

The aim of the present study is to examine the ferrohydrodynamic laminar boundary layer flow of electrically non-conducting magnetic fluid on a uniformly heated and radially stretchable disk with or without rotation in the presence of an externally applied magnetic field.

Design/methodology/approach

Governing equations give rise to highly non-linear coupled partial differential equations which are reduced to a set of ordinary differential equations in dimensionless form by the means of conventional similarity transformation. These equations are further discretized using central finite difference scheme. And, the solution is obtained in MATLAB environment by finding the missing boundary conditions using shooting method.

Findings

The effects of magnetic field dependent viscosity and rotation strength parameter on velocity and temperature profiles are investigated. Besides, the other significant physical quantities such as radial and tangential skin frictions, rate of heat transfer and boundary layer displacement thickness are also computed. The obtained results are discussed quantitatively and qualitatively.

Originality/value

Heat transfer in ferrofluid flow over a radially stretchable and uniformly heated rotating disk has not been investigated yet.

Citation

Ram, P. and Kumar, V. (2013), "FHD flow with heat transfer over a stretchable rotating disk", Multidiscipline Modeling in Materials and Structures, Vol. 9 No. 4, pp. 524-537. https://doi.org/10.1108/MMMS-03-2013-0013