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Effects of pressure gradient on convective heat transfer in a boundary layer flow of a Maxwell fluid past a stretching sheet

Kashif A. N., Salah F., Sankar D. S., Izyan M. D. N., Viswanathan K. K.

International Journal of Applied Mechanics and Engineering

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2021

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Vol. 26, no. 3

104--118

EN

The pressure gradient term plays a vital role in convective heat transfer in the boundary layer flow of a Maxwell fluid over a stretching sheet. The importance of the effects of the term can be monitored by developing Maxwell’s equation of momentum and energy with the pressure gradient term. To achieve this goal, an approximation technique, i.e. Homotopy Perturbation Method (HPM) is employed with an application of algorithms of Adams Method (AM) and Gear Method (GM). With this approximation method we can study the effects of the pressure gradient [...], Deborah number [...], the ratio of the free stream velocity parameter to the stretching sheet parameter [...] and Prandtl number [...] on both the momentum and thermal boundary layer thicknesses. The results have been compared in the absence and presence of the pressure gradient term m. It has an impact of thinning of the momentum and boundary layer thickness for non-zero values of the pressure gradient. The convergence of the system has been taken into account for the stretching sheet parameter. The result of the system indicates the significant thinning of the momentum and thermal boundary layer thickness in velocity and temperature profiles.

2

Energy stability of Benard-Darcy two-component convection of Maxwell fluid

Muti H., Demir H., Siddheshwar P. G.

International Journal of Applied Mechanics and Engineering

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2013

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Vol. 18, no. 1

125--135

EN

Energy stability of a horizontal layer of a two-component Maxwell fluid in a porous medium heated and salted from below is studied under the Oberbeck-Boussinesq-Darcy approximation using the Lyapunov direct method. The effect of stress relaxation on the linear and non-linear critical stability parameters is clearly brought out with coincidence between the two when the solute concentration is dilute. Qualitatively, the result of porous and clear fluid cases is shown to be similar. In spite of lack of symmetry in the problem it is shown that non linear exponential stability can be handled.

3

Unsteady flow of a Maxwell fluid induced by non-coaxial rotation of a disk and the fluid at infinity

Ersoy H. V.

International Journal of Applied Mechanics and Engineering

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2005

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Vol. 10, no 1

159-165

EN

In this note, the unsteady flow of a Maxwell fluid produced by non-coaxial rotation while a disk and the fluid at infinity are initially rotating with the same angular velocity about a common axis is considered. Even in the case of a non-Newtonian fluid, it is shown that there is an exact solution for this flow geometry. The velocity field is obtained with the help of the Laplace transform technique.

4

Radiation and thermal diffusion effects on MHD unsteady Maxwell fluid past a porous flat through porous medium

Eldabe N. T. M., Hassan A. A. A, Ghaly A. Y.

Mechanics and Mechanical Engineering

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2004

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Vol. 7, nr 2

153-163

EN

Radiation and thermal diffusion effects of magnetohydrodynamic flow for non Newtonian fluid through a porous medium past an infinite porous flat plate arc presented. The flow under consideration obeys Maxwell rheological model. Solutions for velocity, temperature and concentration distributions arc obtained with the help of finite difference method. The effects of various parameters such as relaxation parameter λ of the Maxwell fluid, permeability of the fluid K, magnetic parameter M, Dufour number Df, Soret number Sr, Prandtl number Pr, radiation parameter N and Schmidt number Sc on the velocity, temperature and concentration profiles are studied and illustrated graphically. We obtained also the rate of heat transfer and concentration gradient during the course of discussion.

5

Flow induced by a constantly accelerating edge in a Maxwell fluid

Fetecau C., Fetecau C.

Archives of Mechanics

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2004

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Vol. 56, nr 5

411-417

EN

The paper deals with the flow induced by a constantly accelerating edge in a Maxwell fluid. The solutions obtained satisfy both the associate partial differential equations and all imposed initial and boundary conditions. For ... › 0 they reduce to those corresponding to a Navier-Stokes fluid.