Momentum and heat transfer in visco‐elastic fluid flow  in a porous medium over  a non‐isothermal  stretching sheet

Prasad, K. V.; Abel, M. Subhas; Khan, Sujit Kumar

doi:10.1108/09615530010359102

Cited by 53 publications

(29 citation statements)

References 18 publications

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“…Bujurke et al [14] have investigated the heat transfer phenomena in a second order fluid flow over a stretching sheet with internal heat generation and viscous dissipation. Prasad et al [15] analyzed the problem of a visco-elastic fluid flow and heat transfer in a porous medium over a non-isothermal stretching sheet with variable thermal conductivity. Prasad et al [16] have investigated on the diffusion of a chemically reactive species of a non-Newtonian fluid immersed in a porous medium over a stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

MHD power-law fluid flow and heat transfer over a non-isothermal stretching sheet

Prasad

Pal

Datti

2009

Communications in Nonlinear Science and Numerical Simulation

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a b s t r a c tThis article presents a numerical solution for the magnetohydrodynamic (MHD) non-Newtonian power-law fluid flow over a semi-infinite non-isothermal stretching sheet with internal heat generation/absorption. The flow is caused by linear stretching of a sheet from an impermeable wall. Thermal conductivity is assumed to vary linearly with temperature. The governing partial differential equations of momentum and energy are converted into ordinary differential equations by using a classical similarity transformation along with appropriate boundary conditions. The intricate coupled non-linear boundary value problem has been solved by Keller box method. It is important to note that the momentum and thermal boundary layer thickness decrease with increase in the power-law index in presence/absence of variable thermal conductivity.

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Section: Introductionmentioning

confidence: 99%

MHD power-law fluid flow and heat transfer over a non-isothermal stretching sheet

Prasad

Pal

Datti

2009

Communications in Nonlinear Science and Numerical Simulation

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“…However, it is well known that these properties may change with temperature, especially the thermal conductivity. Available literature on variable thermal conductivity (Chaim [36], Datti et al [37], Prasad et al [38], and Abel et al [39]) shows that this type of analysis has not been conducted for UCM fluid flow and heat transfer over a stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

Convection heat transfer in a Maxwell fluid at a non-isothermal surface

2011

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Abstract:Analysis is carried out to study the convection heat transfer in an upper convected Maxwell fluid at a nonisothermal stretching surface. This is a generalization of the paper by Sadeghy et al. [21] to study the effects of free convection currents, variable thermal conductivity and the variable temperature at the stretching surface. Unlike in Sadeghy et al., here the governing nonlinear partial differential equations are coupled. These coupled equations are transformed in to a system of nonlinear ordinary differential equations and are solved numerically by a finite difference scheme (known as the Keller-Box method) and the numerical results are presented through graphs and tables for a wide range of governing parameters. The results obtained for the flow and heat transfer characteristics reveal many interesting behaviors that warrant further study of nonlinear convection heat transfer. 44.20.+b, +44.05.+e, 45.10.-b, 44.25.+a, 46.15.-x, 47.10.ad, 47.15.-x, 47.11.- PACS (2008):

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“…Heat transfer cases of these studies have been considered by (Dandapat & Gupta, 1989, Vajravelu & Rollins, 1991, while flow of viscoelastic fluid over a stretching surface under the influence of uniform magnetic field has been investigated by (Andersson, 1992). Thereafter, a series of studies on heat transfer effects on viscoelastic fluid have been made by many authors under different physical situations including (Abel et al, 2002, Bhattacharya et al, 1998, Datti et al, 2004, Idrees & Abel, 1996, Lawrence & Rao, 1992, Prasad et al, 2000. (Khan & Sanjayanand, 2005) have derived similarity solution of viscoelastic boundary layer flow and heat transfer over an exponential stretching surface.…”

Section: Introductionmentioning

confidence: 99%