On the solution of MHD flow over a nonlinear stretching sheet by an efficient semi‐analytical technique

Motsa, S. S.; Sibanda, Precious

doi:10.1002/fld.2541

Cited by 20 publications

(16 citation statements)

References 46 publications

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“…Regarding the Navier-Stokes theory, a self-similarity solution for viscous propagation of power-law currents that has not been experimentally evaluated was used. Solving Equations (49) and (50) with the boundary conditions of Equations (51)- (55) is presented in this section. That system of ordinary differential equations are the governing equations of steady state power law forced convection flow in thermal radiative absorbing medium with viscous effects over an axisymmetric stretching sheet under no-slip conditions.…”

Section: Resultsmentioning

confidence: 99%

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Numerical Study of the Magnetic Field Effects on the Heat Transfer and Entropy Generation Aspects of a Power Law Fluid over an Axisymmetric Stretching Plate Structure

Hooshmand

Gatabi

Bagheri

et al. 2017

Entropy

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Numerical investigation of the effects of magnetic field strength, thermal radiation, Joule heating, and viscous heating on a forced convective flow of a non-Newtonian, incompressible power law fluid in an axisymmetric stretching sheet with variable temperature wall is accomplished. The power law shear thinning viscosity-shear rate model for the anisotropic solutions and the Rosseland approximation for the thermal radiation through a highly absorbing medium are considered. The temperature dependent heat sources, Joule heating, and viscous heating are considered as the source terms in the energy balance. The non-dimensional boundary layer equations are solved numerically in terms of similarity variable. A parameter study on the Nusselt number, viscous components of entropy generation, and thermal components of entropy generation in fluid is performed as a function of thermal radiation parameter (0 to 2), Brinkman number (0 to 10), Prandtl number (0 to 10), Hartmann number (0 to 1), power law index (0 to 1), and heat source coefficient (0 to 0.1).

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Section: Resultsmentioning

confidence: 99%

“…Similar equations are solved in other studies by numerical methods [47][48][49] or analytical series solution methods [45]. In thermodynamics, entropy is a measure of disorder and defined as a degree of the number of specific means where a thermodynamic system could be settled.…”

Section: Introductionmentioning

confidence: 99%

Numerical Study of the Magnetic Field Effects on the Heat Transfer and Entropy Generation Aspects of a Power Law Fluid over an Axisymmetric Stretching Plate Structure

Hooshmand

Gatabi

Bagheri

et al. 2017

Entropy

View full text Add to dashboard Cite

show abstract

“…Similar equations are solved in other studies by numerical methods [42][43][44] or analytical series solution methods [45]. In thermodynamics, entropy is a measure of disorder and defined as a degree of the number of specific means where a thermodynamic system could be settled.…”

Section: Governing Equationsmentioning

confidence: 99%

Numerical Investigation of Thermal Radiation and Viscous Effects on Entropy Generation in Forced Convection Blood Flow over an Axisymmetric Stretching Sheet

Jamalabadi

Hooshmand

Hesabi

et al. 2016

Entropy

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Numerical and analytical investigation of the effects of thermal radiation and viscous heating on a convective flow of a non-Newtonian, incompressible fluid in an axisymmetric stretching sheet with constant temperature wall is performed. The power law model of the blood is used for the non-Newtonian model of the fluid and the Rosseland model for the thermal radiative heat transfer in an absorbing medium and viscous heating are considered as the heat sources. The non-dimensional governing equations are transformed to similarity form and solved numerically. A parameter study on entropy generation in medium is presented based on the Second Law of Thermodynamics by considering various parameters such as the thermal radiation parameter, the Brinkman number, Prandtl number, Eckert number.

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“…Some considered the linearly stretching sheet; some the non-linearly stretching sheet (see Motsa and Sibanda [1]); some the exponentially stretching sheet (see Ferdows et al [2]), and others, the rotating stretching sheet (see Wahiduzzana et al [3]). Specifically, a number of reports exist in literature on the problem of flow over linearly stretching sheets.…”

Section: Introductionmentioning

confidence: 99%

Thermally Driven Steady MHD Mixed Convective Chemically Reacting Flow over a Hot Porous Linearly Stretching Sheet

W.A.¹

2018

GLM

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Thermally driven steady mixed convective chemically reacting flow of an electrically conducting viscous incompressible fluid over a linearly stretching sheet in the presence of suction/injection, heat generation/absorption and thermal radiation is investigated. The governing nonlinear equations are transformed into ordinary differential equations using the similarity transformation, and linearized using the perturbation series expansions. The resulting linear similarity equations are solved semi-analytically using the Mathematica 9.0 software. Solutions of the concentration, temperature, velocity, Nusselt number, Sherwood number and skin friction are obtained, and presented graphically to illustrate the effects of the various parameters on the dependent flow variables. The results are extensively discussed. Furthermore, the results obtained are bench-marked with some of those obtained in the earlier studies in literature, and are found to be in consonance.

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On the solution of MHD flow over a nonlinear stretching sheet by an efficient semi‐analytical technique

Cited by 20 publications

References 46 publications

Numerical Study of the Magnetic Field Effects on the Heat Transfer and Entropy Generation Aspects of a Power Law Fluid over an Axisymmetric Stretching Plate Structure

Numerical Study of the Magnetic Field Effects on the Heat Transfer and Entropy Generation Aspects of a Power Law Fluid over an Axisymmetric Stretching Plate Structure

Numerical Investigation of Thermal Radiation and Viscous Effects on Entropy Generation in Forced Convection Blood Flow over an Axisymmetric Stretching Sheet

Thermally Driven Steady MHD Mixed Convective Chemically Reacting Flow over a Hot Porous Linearly Stretching Sheet

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