Momentum and heat transfer from a continuous moving surface to a power-law fluid

Sahu, Akshaya K.; Mathur, Mrudang; Chaturani, P.; Bharatiya, S. Saxena

doi:10.1007/bf01190014

Cited by 26 publications

(8 citation statements)

References 11 publications

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“…In the investigation of non-similarity boundary-layer flows, numerical methods are widely applied. As shown in [30][31][32][33][34][35][36][37], one can use numerical methods to obtain approximate results at a large number of discretized points. However, one had to replace the infinite domain by a finite ones, and this brings some additional errors and uncertainty into the numerical results.…”

Section: Introductionmentioning

confidence: 99%

A general approach to get series solution of non-similarity boundary-layer flows

Liao

2009

Communications in Nonlinear Science and Numerical Simulation

138

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Section: Introductionmentioning

confidence: 99%

A general approach to get series solution of non-similarity boundary-layer flows

Liao

2009

Communications in Nonlinear Science and Numerical Simulation

138

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“…Andersson and Dandapat [14] studied the flow of a power-law fluid over a stretching sheet. Sahoo et al [15] considered the momentum and heat transfer in a power-law fluid from a continuous moving plate with non-uniform surface velocity distributions. Even though the above-mentioned papers do not consider the situations where hydromagnetic effects arise, in recent years, we find several applications in the polymer industry (where one deals with stretching of plastic sheets) and metallurgy where hydromagnetic techniques are being used.…”

Section: Introductionmentioning

confidence: 99%

Diffusion of a chemically reactive species of a power-law fluid past a stretching surface

Vajravelu

Prasad

Rao³

2011

Computers & Mathematics with Applications

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A numerical solution for the steady magnetohydrodynamic (MHD) non-Newtonian powerlaw fluid flow over a continuously moving surface with species concentration and chemical reaction has been obtained. The viscous flow is driven solely by the linearly stretching sheet, and the reactive species emitted from this sheet undergoes an isothermal and homogeneous one-stage reaction as it diffuses into the surrounding fluid. Using a similarity transformation, the governing non-linear partial differential equations are transformed into coupled nonlinear ordinary differential equations. The governing equations of the mathematical model show that the flow and mass transfer characteristics depend on six parameters, namely, the power-law index, the magnetic parameter, the local Grashof number with respect to species diffusion, the modified Schmidt number, the reaction rate parameter, and the wall concentration parameter. Numerical solutions for these coupled equations are obtained by the Keller-Box method, and the solutions obtained are presented through graphs and tables. The numerical results obtained reveal that the magnetic field significantly increases the magnitude of the skin friction, but slightly reduces the mass transfer rate. However, the surface mass transfer strongly depends on the modified Schmidt number and the reaction rate parameter; it increases with increasing values of these parameters. The results obtained reveal many interesting behaviors that warrant further study of the equations related to non-Newtonian fluid phenomena, especially shearthinning phenomena. Shear thinning reduces the wall shear stress.

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“…Momentum and heat transfer from a continuous moving surface to a power-law fluid was studied by Sahu et al [20]. Ariel [21] studied the problem of non-Newtonian power-law fluids over a continuously stretching surface.…”

mentioning

confidence: 99%

Effects of viscous dissipation and heat generation (absorption) in a thermal boundary layer of a non-Newtonian fluid over a continuously moving permeable flat plate

Mahmoud

Megahed

2009

J Appl Mech Tech Phy

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The problem of boundary-layer flow and heat transfer of a non-Newtonian power-law fluid over a moving porous infinite flat plate in the presence of viscous dissipation and heat generation or absorption is investigated analytically. It is assumed that both the momentum and the energy equations are coupled by the stress friction factor, and an assumption is introduced regarding the heat-transfer index. It is found that exact analytical solutions for velocity and temperature exist only for pseudoplastic fluids in the presence of suction at the surface. The effects of the suction parameter, Eckert number, and the heat generation or absorption parameter on the velocity and temperature profiles, as well as on the skin-friction coefficient and Nusselt number are discussed.

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Momentum and heat transfer from a continuous moving surface to a power-law fluid

Cited by 26 publications

References 11 publications

A general approach to get series solution of non-similarity boundary-layer flows

A general approach to get series solution of non-similarity boundary-layer flows

Diffusion of a chemically reactive species of a power-law fluid past a stretching surface

Effects of viscous dissipation and heat generation (absorption) in a thermal boundary layer of a non-Newtonian fluid over a continuously moving permeable flat plate

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