Open AccessEffects of transverse magnetic field with variable thermal conductivity on tangent hyperbolic fluid with exponentially varying viscosity
Author(s) -
T. Salahuddin,
M.Y. Malik,
Arif Hussain,
S. Bilal,
Muhammad Awais
Publication year - 2015
Publication title -
aip advances
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.421
H-Index - 58
ISSN - 2158-3226
DOI - 10.1063/1.4937366
Subject(s) - weissenberg number , nusselt number , prandtl number , mechanics , thermal conductivity , viscosity , curvature , physics , ordinary differential equation , mathematics , partial differential equation , mathematical analysis , classical mechanics , thermodynamics , differential equation , newtonian fluid , heat transfer , turbulence , geometry , reynolds number
The purpose of present analysis is to examine the effects of temperature dependent viscosity and thermal conductivity on MHD stagnation point flow over a stretching cylinder. The momentum and the temperature equations are modeled by using tangent hyperbolic fluid and the effect of viscous dissipation is also considered. The requisite partial differential equations are metamorphosed into ordinary differential equations by using similarity transformations. The succeeding ordinary differential equations are solved by using shooting method. The physical behavior of non-dimensional parameters for momentum and temperature profiles is deliberated through graphs. The numerical values of skin friction coefficient and local Nusselt number are calculated in order to recognize the behavior of fluid near the surface. The comparison with previous literature is completed in order to check the accuracy of the present work. It is found the velocity reduces with increasing power law index, Weissenberg number, Hartmann number and variable viscosity parameter. With the increasing values of curvature parameter, velocity is found to increase. Variable thermal conductivity parameter and Prandtl number shows opposite behavior for temperature profile