Abstract
In this paper, we studied MHD two dimensional flow of an incompressible tangent hyperbolic fluid flow and heat transfer towards a stretching sheet with velocity and thermal slip. Lie group analysis is used to develop new similarity transformation, using these similarity transformation the governing nonlinear partial differential equation are reduced into a system of coupled nonlinear ordinary differential equation. The obtained system is solved numerically by applying shooting method. Effects of pertinent parameters on the velocity and temperature profiles, skin friction, local Nusselt number are graphically presented and discussed. Comparison between the present and previous results are shown in special cases.
Highlights
The study of the non-Newtonian fluids has gained a considerable interest in the last few decades due to its numerous applications in different fields of science and technology
Lie group analysis is used to develop new similarity transformation, using these similarity transformation the governing nonlinear partial differential equation are reduced into a system of coupled nonlinear ordinary differential equation
In order to solve the system of nonlinear ordinary differential equations given by (34) and (35) subject to the boundary conditions (36) and (37) are solved numerically by shooting method
Summary
The study of the non-Newtonian fluids has gained a considerable interest in the last few decades due to its numerous applications in different fields of science and technology. Tangent hyperbolic fluid model is a particular type of nonNewtonian fluid which is used extensively for different laboratory experiments. Akber et al [1] studied two dimensional tangent hyperbolic fluid toward a stretching sheet with a magnetic field. Friedman et al [2] studied the hyperbolic tangent fluid model for the large-scale magneto-rheological fluid damper coils. Nadeem and Akram [3] analyzed peristaltic transport of a hyperbolic tangent fluid model in a symmetric channel. Naseer et al [4] analyzed the boundary layer flow and heat transfer of a hyperbolic tangent fluid flowing over a vertical exponentially stretching cylinder in its axial direction. Jyothi et al [5] investigated the peristaltic transport of a hyperbolic tangent fluid through a porous medium in a two-dimensional symmetric inclined channel
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