The influence of thermal radiation on MHD flow of Maxwellian fluids above stretching sheets

Aliakbar, Vahid; Pahlavan, Amir A.; Sadeghy, Kayvan

doi:10.1016/j.cnsns.2007.12.003

Cited by 120 publications

(70 citation statements)

References 36 publications

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“…Obviously for the theoretical results to be of any industrial importance, more general visco-elastic fluid models such as the upper convected Maxwell (UCM) model or Oldroyd B model should be invoked in the analysis. Indeed these two fluid models have been used recently to study the visco-elastic fluid flow above a stretching sheet with or without heat transfer [Bhatnagar et al [19], Renardy [20], Sadeghy et al [21], Hayat et al [22], Aliakbar et al [23]). …”

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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Section: Introductionmentioning

confidence: 99%

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

2011

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“…Obviously for the theoretical results to be of any importance, more general visco-elastic fluid models such as upper convected Maxwell model or Oldroyd B model should be invoked in the analysis. Indeed these two fluid models are being used recently to study the visco-elastic fluid flow over a stretching or non-stretching sheet with or without heat transfer [14][15][16][17][18][19][20]. Recently, Prasad et al [20] studied the effects of the temperature-dependent thermo-physical properties on the MHD boundary layer flow and heat transfer of a UCM fluid over a stretching sheet in the presence of internal heat generation/absorption.…”

Section: Introductionmentioning

confidence: 99%

Heat Transfer in an Upper Convected Maxwell Fluid with Fluid Particle Suspension

Vajravelu

Prasad

Santhi

2015

Adv. Appl. Math. Mech.

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Abstract. An analysis is carried out to study the magnetohydrodynamic (MHD) flow and heat transfer characteristics of an electrically conducting dusty non-Newtonian fluid, namely, the upper convected Maxwell (UCM) fluid over a stretching sheet. The stretching velocity and the temperature at the surface are assumed to vary linearly with the distance from the origin. Using a similarity transformation, the governing nonlinear partial differential equations of the model problem are transformed into coupled non-linear ordinary differential equations and the equations are solved numerically by a second order finite difference implicit method known as the Keller-box method. Comparisons with the available results in the literature are presented as a special case. The effects of the physical parameters on the fluid velocity, the velocity of the dust particle, the density of the dust particle, the fluid temperature, the dust-phase temperature, the skin friction, and the wall-temperature gradient are presented through tables and graphs. It is observed that, Maxwell fluid reduces the wall-shear stress. Also, the fluid particle interaction reduces the fluid temperature in the boundary layer. Furthermore, the results obtained for the flow and heat transfer characteristics reveal many interesting behaviors that warrant further study on the non-Newtonian fluid flow phenomena, especially the dusty UCM fluid flow phenomena.

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“…Hayat et al 5 obtained homotopy based series solution for stagnation-point flow of Maxwell fluid towards a stretching sheet. After these pioneering works, researchers have widely discussed two-and three-dimensional flows of Maxwell fluids in different geometries (see Aliakbar et al, 6 Raftari and Yildirim, 7 Hayat et al, 8,9 Mukhopadhyay, 10 Abel et al, 11 Hayat et al, 12 Shateyi 13 and Mushtaq et al 14 ).…”

Section: Introductionmentioning

confidence: 99%

Simulations for Maxwell fluid flow past a convectively heated exponentially stretching sheet with nanoparticles

et al. 2015

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This article addresses steady flow of Maxwell nanofluid induced by an exponentially stretching sheet subject to convective heating. The revised model of passively controlled wall nanoparticle volume fraction is taken into account. Numerical solutions of the arising non-linear boundary value problem (BVP) are obtained by using MATLAB built-in function bvp4c. Simulations are performed for various values of embedded parameters which include local Deborah number, Prandtl number, Biot number, Brownian motion parameter and thermophoresis parameter. The results are consistent with the previous studies in some limiting cases. It is found that velocity decreases and temperature increases when the local Deborah number is increased. Moreover the influence of Brownian diffusion on temperature and heat transfer rate is found to be insignificant.

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The influence of thermal radiation on MHD flow of Maxwellian fluids above stretching sheets

Cited by 120 publications

References 36 publications

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

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

Heat Transfer in an Upper Convected Maxwell Fluid with Fluid Particle Suspension

Simulations for Maxwell fluid flow past a convectively heated exponentially stretching sheet with nanoparticles

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