Lie group analysis of hyperbolic tangent fluid flow in the presence of thermal radiation

Abstract

The present study is devoted to the flow and heat transfer analysis of the hyperbolic tangent fluid through a stretching sheet by considering the effect of thermal radiation in addition to an applied transverse magnetic field, as well as thermal and velocity slip conditions. The Lie group analysis technique has been utilized for establishing similarity transformations, which effectively transform the governing equations to a system of nonlinear ordinary differential equations (ODEs). These ODEs are numerically solved by utilizing the shooting method. The heat transfer properties and flow features under the influence of various physical parameters are also studied. We noted that by increasing the thermal radiation parameter, the temperature profile increases and also the thermal boundary layer thickens. Furthermore, it is deduced that rising the thermal radiation parameter reduces the local Nusselt number. Moreover, the numerical results obtained are in agreement with the existing results in the literature.

Tangent Hyperbolic Fluid Flow under Condition of Divergent Channel in the Presence of Porous Medium with Suction/Blowing and Heat Source: Emergence of the Boundary Layer

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Numerical simulation of the flow of a tangent hyperbolic fluid over a stretching sheet within a porous medium, accounting for slip conditions

“…In a recent study, Khan et al [9] looked at the implications of double stratification on the convectively heated flow of tangent hyperbolic fluid while taking into account variables such as chemical reaction and nonlinear thermal radiation. The exploration of the tangent hyperbolic fluid flow model, along with its significant engineering and industrial applications, has served as a motivating factor for numerous researchers ( [10] , [11] , [12] ), prompting them to conduct extensive investigations in this domain.…”

Slip and temperature jump effects of MHD stagnation point flow towards a translating plate considering nonlinear radiations

“…It is noticed that the governing energy equation becomes highly nonlinear and consists of an extra temperature ratio parameter that measures the difference between ambient and wall temperature. Recently, Bejawada et al, 30 Nandeppanavar et al, 31 and Ahamad et al 32 discussed the radiation effects on boundary layer flows.…”