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Newtonian heating in stagnation point flow of burgers fluid

Applied Mathematics and Mechanics(English Edition) 2015年第1期36卷 61-68页

作者： T.HAYAT S.ALI M.AWAIS M.S.ALHUTHALI Department of Mathematics Quaid-i-Azam University Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Faculty of Science King Abdulaziz University Faculty of Engineering Sciences Ghulam Ishaq Khan Institute of Engineering Sciences and Technology Department of Mathematics COMSATS Institute of Information Technology

The Newtonian heating effects in the stagnation point flow of a burgers fluid are addressed in this paper. The boundary layer flow problems are stated in the spatial domain from zero to infinity. The solution expressions for the velocity and the temperature are obtained and examined for the influential variables. The tabulated values show comparison with the previous results. It is observed that the obtained results are in good agreement with the existing results in limiting sense.

关键词： burgers fluid Newtonian heating series solutions

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Linear stability of plane creeping Couette flow for burgers fluid

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Acta Mechanica Sinica 2013年第1期29卷 12-23页

作者： Kai-Xin Hu Jie Peng Ke-Qin Zhu Department of Engineering Mechanics Tsinghua University

It is well known that plane creeping Couette flow of UCM and Oldroy-B fluids are linearly stable. However, for Burges fluid, which includes UCM and Oldroyd-B fluids as special cases, unstable modes are detected in the present work. The wave speed, critical parameters and perturbation mode are studied for neutral waves. Energy analysis shows that the sustaining of perturbation energy in Poiseuille flow and Couette flow is completely different. At low Reynolds number limit, analytical solutions are obtained for simpli- fied perturbation equations. The essential difference between burgers fluid and Oldroyd-B fluid is revealed to be the fact that neutral mode exists only in the former.

关键词： Linear stability theory burgers fluid Creeping Couette flow - Elastic instability

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Stokes' First Problem for an MHD burgers fluid

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Communications in Theoretical Physics 2013年第1期59卷 99-104页

作者： Masood Khan Department of Mathematics Quaid-i-Azam University

This work is related to the flow of a magnetohydrodynamic burgers *** flow of an incompressible conducting burgers fluid in the presence of a uniform transverse magnetic field over a plate that is moved suddenly is *** the application of the Laplace and Fourier sine transforms techniques,the exact analytical expressions for the velocity field and associated shear stress are determined in simple *** are written as a sum of steady-state and transient *** graphical results are plotted for different values of indispensable parameters and some interesting results are *** corresponding solutions for the hydrodynamic burgers fluid appear as the limiting cases of the obtained solutions.

关键词： Stokes' first problem burgers fluid Laplace and Fourier sine transforms exact solutions

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