The impact of variable fluid properties on hydromagnetic boundary layer and heat transfer flows over an exponentially stretching sheet

Abstract

This paper put forward an analysis of variable fluid properties and their impact on hydromagnetic boundary and thermal layers in a quiescent fluid which is developed due to the exponentially stretching sheet. The viscous incompressible fluid has been set into motion due to aforementioned sheet. We assume that the viscosity and the thermal conductivity of the Newtonian fluid are temperature dependent. The governing boundary layer equations containing continuity, momentum and energy equations are coupled and nonlinear in nature, thereby, cannot be solvable easily by using analytical methods. Since the general boundary layer equations admits a similarity solutions, thus a generalized Howarth-Dorodnitsyn transformations have been exploited for the set-up of a coupled nonlinear ODEs. These transformed ODEs are solved numerically by a shooting method and is verified from MATLAB built-in collocation solver bvp4c for different parameters appearing in the work. We show results graphically and in a tabulated form for a constant and a variable fluid properties. We find that the temperature dependent variable viscosity and a thermal conductivity influence a velocity and a temperature profiles. We show that the thermal boundary layer decreases for constant variable fluid properties and increases for variable fluid properties Nomenclature

Numerical analysis of thermal transportation in nanodiamond and silver-based nanofluid using the Cattaneo–Christov heat flux model

“…Dutta et al (1985) investigated the temperature behavior of a normal liquid across a stretchy sheet in the presence of a continuous heat flow condition. Many researchers have studied exponentially extending sheets (Magyari and Keller, 1999;Rehman et al, 2017;Mushtaq et al, 2019), which have the most important technological and industrial applications.…”

The effect of MHD mixed convection flow over a heated plate

“…Girinath Reddy et al 21,22 studied the Soret and Dufour effect in the presence of MHD on an accelerating surface and also analysed the chemical parameter. Asif Mushtaq 23 studied the influence of temperature and velocity. Muhammad et al 24 studied the viscoelastic rotating dusty fluid along with the magnetic effect.…”

Closure to “Computational Analysis for Mixed Convective Flows of Viscous Fluids With Nanoparticles” (Farooq, U., Lu, D. C., Ahmed, S., and Ramzan, M., 2019, ASME J. Therm. Sci. Eng. Appl., 11(2), p. 021013)

“…Sometimes it may happen that after applying similarity variables, the physical parameters in the governing equations are still functions of coordinate "x" (see Refs. [3,4]), and these problems are known as non-similar. Despite of this fact that non-similar flows are extensive in nature and they have vast applications in real life, there are still lesser publications in this direction compared with similar flows.…”