Flow and heat transfer in a power-law fluid over a nonisothermal stretching sheet

Hassanien, I. A.; Abdullah, A. A.; Gorla, R. S. R.

doi:10.1016/s0895-7177(98)00148-4

Cited by 126 publications

(66 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We notice that in the case of linear stretching   1 m  and in the absence of magnetic parameter, Equations (2.11) and (2.12) reduce to those of [18], while in the case of linear stretching   1 m   and in the absence of heat source/sink, Equations (2.11) and (2.12) reduce to those of [19] and in the presence of magnetic field parameter these equations reduce to those of [8] and [10]. Further, for linear stretching…”

Section: Mathematical Formulationmentioning

confidence: 93%

Non-Newtonian Power-Law Fluid Flow and Heat Transfer over a Non-Linearly Stretching Surface

Prasad¹,

Santhi²,

Datti³

2012

View full text Add to dashboard Cite

The problem of magneto-hydrodynamic flow and heat transfer of an electrically conducting non-Newtonian power-law fluid past a non-linearly stretching surface in the presence of a transverse magnetic field is considered. The stretching velocity, the temperature and the transverse magnetic field are assumed to vary in a power-law with the distance from the origin. The flow is induced due to an infinite elastic sheet which is stretched in its own plane. The governing equations are reduced to non-linear ordinary differential equations by means of similarity transformations. These equations are then solved numerically by an implicit finite-difference scheme known as Keller-Box method. The numerical solution is found to be dependent on several governing parameters, including the magnetic field parameter, power-law index, velocity exponent parameter, temperature exponent parameter, Modified Prandtl number and heat source/sink parameter. A systematic study is carried out to illustrate the effects of these parameters on the fluid velocity and the temperature distribution in the boundary layer. The results for the local skin-friction coefficient and the local Nusselt number are tabulated and discussed. The results obtained reveal many interesting behaviors that warrant further study on the equations related to non-Newtonian fluid phenomena.

show abstract

Section: Mathematical Formulationmentioning

confidence: 93%

Non-Newtonian Power-Law Fluid Flow and Heat Transfer over a Non-Linearly Stretching Surface

Prasad¹,

Santhi²,

Datti³

2012

View full text Add to dashboard Cite

show abstract

“…Motivated by the process of polymer extrusion, in which the extrudate emerges from a narrow slit, Crane [1] examined the Newtonian fluid flow induced by the stretching of an elastic flat sheet. Subsequently, several extensions related to Crane's [1] flow problem were made for different physical situations (see [2][3][4][5][6]). In these studies [1][2][3][4][5][6], the boundary layer equation is considered and the boundary conditions are prescribed at the sheet and on the fluid at infinity.…”

Section: Introductionmentioning

confidence: 99%

Unsteady flow and heat transfer in a thin film of Ostwald–de Waele liquid over a stretching surface

Vajravelu

Prasad

2012

Communications in Nonlinear Science and Numerical Simulation

View full text Add to dashboard Cite

a b s t r a c tIn this paper, the effects of viscous dissipation and the temperature-dependent thermal conductivity on an unsteady flow and heat transfer in a thin liquid film of a non-Newtonian Ostwald-de Waele fluid over a horizontal porous stretching surface is studied. Using a similarity transformation, the time-dependent boundary-layer equations are reduced to a set of non-linear ordinary differential equations. The resulting five parameter problem is solved by the Keller-Box method. The effects of the unsteady parameter on the film thickness are explored numerically for different values of the power-law index parameter and the injection parameter. Numerical results for the velocity, the temperature, the skin friction and the wall-temperature gradient are presented through graphs and tables for different values of the pertinent parameter. One of the important findings of the study is that the film thickness increases with an increase in the power-law index parameter (as well as the injection parameter). Quite the opposite is true with the unsteady parameter. Furthermore, the wall-temperature gradient decreases with an increase in the Eckert number or the variable thermal conductivity parameter. Furthermore, the surface temperature of a shear thinning fluid is larger compared to the Newtonian and shear thickening fluids. The results obtained reveal many interesting behaviors that warrant further study of the equations related to non-Newtonian fluid phenomena, especially the shear-thinning phenomena.

show abstract

“…The solution was calculated numerically using implicit finite difference scheme Kellor-Box method. Heat transfer of fluid flow are also dicussed by Hasnain et al 30 and Andersson. 31 Thermal conductivity is aptitude of any material to conduct heat.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic flow of Sisko fluid over a stretching cylinder with variable thermal conductivity: A numerical study

et al. 2016

View full text Add to dashboard Cite

In present study effects of magnetic field and variable thermal conductivity on Sisko fluid model are analyzed. The modeled partial differential equations are simplified by boundary layer approach. Appropriate similarity transformations are applied to transform governing partial differential equations into ordinary differential equations. Then these equations are solved numerically by shooting method in combination with Runge-Kutta-Fehlberg method. Comparison between present and previous computed results is presented via tables. The variations in fluid velocity and temperature are displayed through graphs for different values of Sisko fluid parameter, curvature parameter, magnetic field parameter, thermal conductivity parameter and Prandtl number. The effects of physical parameters on skin friction coefficient and local Nusselt number are exhibited with figures and tables.

show abstract

Flow and heat transfer in a power-law fluid over a nonisothermal stretching sheet

Cited by 126 publications

References 10 publications

Non-Newtonian Power-Law Fluid Flow and Heat Transfer over a Non-Linearly Stretching Surface

Non-Newtonian Power-Law Fluid Flow and Heat Transfer over a Non-Linearly Stretching Surface

Unsteady flow and heat transfer in a thin film of Ostwald–de Waele liquid over a stretching surface

Magnetohydrodynamic flow of Sisko fluid over a stretching cylinder with variable thermal conductivity: A numerical study

Contact Info

Product

Resources

About