Effect of Magnetic Field in the Presence of
Radiation on Steady Flow Over a Heated
Stretching Surface: A Quassi Linearisation and
Finite Difference Study

Kotagiri Srihari

doi:https://doi.org/10.14445/22315373/IJMTT-V56P573

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 56 | Number 8 | Year 2018 | Article Id. IJMTT-V56P573 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P573

Effect of Magnetic Field in the Presence of Radiation on Steady Flow Over a Heated Stretching Surface: A Quassi Linearisation and Finite Difference Study

Kotagiri Srihari

Abstract

In the present paper Quassi linearisation and finite difference attempt is made to study the effect of magnetic field on steady flow of a viscous incompressible fluid past a heated stretching sheet in the presence thermal radition. A magnetic field is applied normal to the flow. Roseland approximation is used to describe the radiative heat flux in the energy equation With appropriate similarity transformations, the momentum and energy equations are reduced to ordinary differential equations, in which the equation of motion is a non-linear equation that is linearized by Quassi-linearization method. the governing linear differential equations with boundary conditions in the transformed form are solved numerically using finite difference method. Graphical results for velocity and temperature fields, are presented and discussed. It is noted that for the increasing values of Pr, the rate of decrement in the temperature profile is observed to be fast in the presence of radiation, than in the case of absence radiation.Further, it is concluded that a considerable decrement in the velocity of the fluid is observed in the presence of radiation and magnetic field.

Keywords

Magnetic field, Thermal radiation, Steady flow, heated stretching sheet, Quassi-linearization and finite difference methods.

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Citation :

Kotagiri Srihari, "Effect of Magnetic Field in the Presence of Radiation on Steady Flow Over a Heated Stretching Surface: A Quassi Linearisation and Finite Difference Study," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 8, pp. 567-575, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P573