Hydromagnetic flow of a second grade fluid over a stretching sheet

Vajravelu, K.; Rollins, David

doi:10.1016/s0096-3003(02)00942-6

Cited by 83 publications

(51 citation statements)

References 14 publications

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“…These set of nonlinear ordinary differential equations have been discretized by finite-difference method with Newton's method by (Hsiao, 2012). Vajravelu (2004) was also using analytical and numerical solutions to solve the related problems.…”

Section: Finite-difference Methodsmentioning

confidence: 99%

Food Extrusion Energy Conversion Conjugate Ohmic Heat and Mass Transfer for Stagnation Non-Newtonian Fluid Flow with Physical Multimedia Features

Lin¹,

Hsiao²

2015

AJHMT

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The energy conversion conjugate conduction-convection Ohmic mixed heat and mass transfer of an incompressible viscoelastic fluid on thermal forming stretching sheet has been studied. The present study has been applied similarity transformation method to change the partial differential equations transform to a set of nonlinear ordinary differential equations, and it has also been used an implicit finite-difference method to solve the system's equations. The numerical calculating results for the conjugate heat transfer energy conversion problem which have been carried out as functions of viscoelastic number E, Prandtl number Pr and buoyancy parameter Gr, Gc, etc. The parameters of E, E1, Gr, Gc and Pr are important energy conversion factors in this study, it should be produced greater heat transfer energy conversion effect with a larger values of E, E1, Gr, Gc or Pr, but the parameter M or Ec will be reduced the heat transfer energy conversion effect. For mass transfer energy conversion processing, the Schemidt number Sc or reaction parameter Rc will be increased the mass transfer energy conversion effects. For heat conduction energy conversion aspect, the convection-conduction number Ncc will be increased the heat conduction energy conversion effect. Because of present study has been studied about many parameters physical features, so that it is also belong to a multimedia physical feature study work.

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Section: Finite-difference Methodsmentioning

confidence: 99%

Food Extrusion Energy Conversion Conjugate Ohmic Heat and Mass Transfer for Stagnation Non-Newtonian Fluid Flow with Physical Multimedia Features

Lin¹,

Hsiao²

2015

AJHMT

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“…If they are claiming Eq. (3) is correct then they are wrong in paper [3] and if they are claiming Eq. (5) of [3] is correct then they are wrong in paper [2].…”

Section: Reply To Commentsmentioning

confidence: 99%

“…(3) is correct then they are wrong in paper [3] and if they are claiming Eq. (5) of [3] is correct then they are wrong in paper [2]. Both the papers [2,3] are written by the same authors and in their own papers there is a contradiction.…”

Section: Reply To Commentsmentioning

confidence: 99%

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Reply to the comments on: ”Series solution of hydromagnetic flow and heat transfer with Hall effect in a second grade fluid over a stretching sheet”

Zaman

Ayub

2010

Open Physics

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“…Such flow exhibits both viscous and elastic properties, normal stresses and relaxation effects. A wide range of mathematical models have been developed to simulate the diverse hydrodynamic and magnetohydrodynamic behaviours of these nonNewtonian viscoelastic fluids [8][9][10][11][12][13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Heat and Mass Transfer on MHD Viscoelastic Fluid Flow in the Presence of Thermal Diffusion and Chemical Reaction

Popoola¹,

Baoku²,

Olajuwon³

2016

IJHT

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The paper carries out an analysis on the momentum, heat and mass transfer characteristics in an incompressible magnetohydrodynamic non-Newtonian boundary flow of a viscoelastic fluid over a stretching sheet in the presence of thermal diffusion and chemical reaction. The partial differential equations governing the flow as well as heat and mass transfer features are converted into highly non-linear coupled ordinary differential equations by similarity transformations. The resulting differential equations are solved by using a shooting technique with fifth-order Runge-Kutta-Fehlberg integration scheme. The influence of magnetic interaction, variable thermal conductivity, viscoelastic, variable fluid viscosity, heat source/sink rate of chemical reaction, themal radiation and thermal diffusion parameters as well as Prandtl and Schmidt numbers are analyzed for velocity, temperature and concentration profiles. The wall shear stress, wall temperature and concentration gradients are also investigated for the problem. The fluid viscosity varies as an inverse function of velocity while the thermal conductivity assumes a linear and an inverse function of temperature and concentration respectively. The study shows that the thermal diffusion and thermal radiation parameters have opposite effects on the skin friction coefficient and wall concentration gradient. However, the rate of chemical reaction has similar influence on the skin friction coefficient and wall temperature gradient.

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Hydromagnetic flow of a second grade fluid over a stretching sheet

Cited by 83 publications

References 14 publications

Food Extrusion Energy Conversion Conjugate Ohmic Heat and Mass Transfer for Stagnation Non-Newtonian Fluid Flow with Physical Multimedia Features

Food Extrusion Energy Conversion Conjugate Ohmic Heat and Mass Transfer for Stagnation Non-Newtonian Fluid Flow with Physical Multimedia Features

Reply to the comments on: ”Series solution of hydromagnetic flow and heat transfer with Hall effect in a second grade fluid over a stretching sheet”

Heat and Mass Transfer on MHD Viscoelastic Fluid Flow in the Presence of Thermal Diffusion and Chemical Reaction

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