Analysis of exponentially varying viscosity and thermal conductivity on a tangent hyperbolic fluid

Oyelakin, I. S.; Sibanda, Precious

doi:10.1007/s40324-020-00215-0

Cited by 14 publications

(7 citation statements)

References 21 publications

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“…They deduced that velocity, as well as the thickness of the momentum boundary layer, decreases for rising values of suction/injection parameter. The influence of exponentially varying thermal conductivity, magnetic parameter, and viscosity on the hyperbolic fluid flow was investigated by Oyelakin and Sibanda 24 . From their studies, it was found that by varying the viscosity the fluid flow resistance reduces, which increases velocity profile while temperature and species concentration profiles decline.…”

Section: Introductionmentioning

confidence: 99%

“…The influence of exponentially varying thermal conductivity, magnetic parameter, and viscosity on the hyperbolic fluid flow was investigated by Oyelakin and Sibanda. 24 From their studies, it was found that by varying the viscosity the fluid flow resistance reduces, which increases velocity profile while temperature and species concentration profiles decline. Kumar et al 25 scrutinized the effects of the activation energy for hyperbolic tangent fluid flow along a moving stretchable surface and deduced that the fluid's velocity enhances for large values of Weissennberg number and heat transfer rate increases for increasing radiation parameter.…”

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confidence: 99%

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

2021

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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.

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Section: Introductionmentioning

confidence: 99%

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confidence: 99%

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

2021

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“…In the present work, the exponentially varying viscosity, thermal conductivity, and mass diffusivity take the form 36,[50][51][52][53]…”

Section: Flow Analysismentioning

confidence: 99%

“…In the present work, the exponentially varying viscosity, thermal conductivity, and mass diffusivity take the form 36,50‐53

μ (T) = μ_{\infty} e^{- ς θ (y, τ)}, K (T) = K_{\infty} (1 + δ_{1} θ (y, τ)), D (T) = D_{\infty} (1 + δ_{2} θ (y, τ)),

where

μ_{\infty}, K_{\infty}

, and

D_{\infty}

represent the viscosity, thermal conductivity, and mass diffusivity of the fluid far away from the sheet, respectively,

ς

is the variable viscosity parameter that measures the rate of dynamic viscosity with temperature,

δ_{1}

is the variable thermal conductivity parameter that measures the rate of change of thermal conductivity with temperature, and

δ_{2}

is the variable mass diffusion coefficient that measures the rate of change of chemical diffusivity with temperature.…”

Section: Flow Analysismentioning

confidence: 99%

MHD mixed convective radiative flow of Eyring‐Powell fluid over an oscillatory stretching sheet using bivariate spectral method on overlapping grids

2020

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The bivariate spectral quasilinearization method (BSQLM) on overlapping grids is presented and applied in the analysis of unsteady magnetohydrodynamic mixed convection flow of Eyring-Powell fluid over an oscillatory stretching sheet embedded in a non-Darcy porous medium with nonlinear radiative heat flux and variable thermophysical properties. The fluid properties, namely the fluid viscosity, thermal conductivity, and mass diffusivity, are assumed to vary with temperature. It is assumed that the first-order chemical reaction with heat generation/absorption takes place in the flow. The flow domain is subject to uniform transverse magnetic field perpendicular to the stretching surface. The transformed flow equations are solved numerically using BSQLM on overlapping grids. The convergence properties and accuracy of the method are assessed. The proposed method is computationally efficient, and it gives stable and highly accurate results after few iterations and using few grid points in each subinterval. The improved accuracy rests upon the use of the overlapping grid, which produces sparse coefficient matrices that are easy to invert and have small condition numbers. The effects of physical parameters on the flow fields, local skin friction, the

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“…Ullah et al 10 presented the lie group analysis of an MHD convection flow of an incompressible tangent hyperbolic fluid, considering the velocity and thermal slip effects along with suction/injection effects. Oyelakin and Sibanda 13 analyzed the importance of variable viscosity and thermal conductivity in tangent hyperbolic MHD flows. Veera Krishna and Chamkha 14 addressed the impacts of Dufour, radiation, and heat generation on the MHD convection nanofluid flows past a semi‐infinite porous plate, considering the Hall and Ionslip effects.…”

Section: Introductionmentioning

confidence: 99%

Mixed convection flows of tangent hyperbolic fluid past an isothermal wedge with entropy: A mathematical study

Reddy¹,

Gaffar²,

Khan

et al. 2020

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The nonlinear, steady, and mixed convective boundary layer flow and heat transfer of an incompressible tangent hyperbolic non‐Newtonian fluid over an isothermal wedge in the presence of magnetic field are analyzed numerically using the implicit Keller‐Box finite‐difference technique. The entropy analysis due to MHD flow of a tangent hyperbolic fluid past an isothermal wedge and viscous dissipation is also included. The numerical code is validated with previous Newtonian studies available in the literature. Graphical and tabulated results are analyzed to study the behavior of the fluid velocity, temperature, concentration, shear stress, heat transfer rate, entropy generation number, and Bejan number for various emerging thermophysical parameters, namely Weissenberg number (We), power‐law index (n), mixed convection parameter (λ), pressure gradient parameter (m), Prandtl number (Pr), Biot number (γ), Hartmann number (Ha), Brinkmann number (Br), Reynolds number (Re), and temperature gradient (Π). It is observed that velocity, entropy, Bejan number, and surface heat transfer rate are reduced with the increase in the Weissenberg number, but temperature and local skin friction are increased. An increase in pressure gradient enhances velocity, entropy, local skin friction, and surface heat transfer rate, but reduces temperature and Bejan number. An increase in an isothermal power‐law index (n) is observed to increase velocity, Bejan number, and surface heat transfer rate, but it decreases temperature, entropy, and local skin friction. An increase in the magnetic parameter (Ha) is found to decrease temperature, entropy, surface heat transfer rate, and local skin friction, and it increases velocity and Bejan number. The research is applicable for coating materials in chemical engineering, for instance, robust paints, production of aerosol deposition, and water‐soluble solution thermal treatment.

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Analysis of exponentially varying viscosity and thermal conductivity on a tangent hyperbolic fluid

Cited by 14 publications

References 21 publications

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

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

MHD mixed convective radiative flow of Eyring‐Powell fluid over an oscillatory stretching sheet using bivariate spectral method on overlapping grids

Mixed convection flows of tangent hyperbolic fluid past an isothermal wedge with entropy: A mathematical study

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