Casson Fluid Flow Due to Non-Coaxial Rotation of a Porous Disk and the Fluid at Infinity Through a Porous Medium

被引:0
作者
Sh. Rafiq
M. Nawaz
M. Mustahsan
机构
[1] The Islamia University of Bahawalpur,Department of Mathematics
[2] Institute of Space Technology,Department of Applied Mathematics and Statistics
来源
Journal of Applied Mechanics and Technical Physics | 2018年 / 59卷
关键词
Casson fluid; non-coaxial rotation; porous medium; shear stress;
D O I
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中图分类号
学科分类号
摘要
The flow of the Casson fluid due to non-coaxial rotation of a disk and the fluid at infinity is investigated. Partial differential equations are made dimensionless and coupled. The exact solution of the resultant nonlinear initial-boundary-value problem is solved by applying the Laplace transform. The shear stresses at the disk surface and the steady state stresses are computed. The effects of dimensionless parameters on the dimensionless primary and secondary velocities are analyzed.
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页码:601 / 607
页数:6
相关论文
共 34 条
[1]  
Ekman V. W.(1905)On the Influence of the Earth’s Rotation on Ocean-Currents Ark. Mat. Astronomi Fys. 2 1-52
[2]  
Aristov S. N.(2009)Exact Solutions of the Navier–Stokes Equations with the Linear Dependence of Velocity Components on Two Space Variables Theor. Found. Chem. Eng. 43 642-662
[3]  
Knyazev D. V.(2016)A New Class of Exact Solutions for Three Dimensional Thermal Diffusion Equations Theor. Found. Chem. Eng. 50 286-293
[4]  
Polyanin A. D.(2008)New Classes of Exact Solutions of Euler Equations Dokl. Phys. 53 166-171
[5]  
Aristov S. N.(2011)A New Method for Constructing Exact Solutions to Three Dimensional Navier–Stokes and Euler Equations Theor. Found. Chem. Eng. 45 885-890
[6]  
Prosviryakov E. Yu.(2013)On One Class of Analytic Solutions for Steady State Axisymmetric Benard–Marangoni Convection in a Viscous Incompressible Liquid Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 3 110-118
[7]  
Aristov S. N.(2014)Casson Fluid Flow and Heat Transfer Past an Exponentially Porous Stretching Surface in Presence of Thermal Radiation Eng. Phys. Math. 5 205-212
[8]  
Polyanin A. D.(1972)Rotations Non-Coaxial d’un Disque et d’un Fluid Ăl’infini J. Mech. 11 317-340
[9]  
Polyanin A. D.(1976)Flow due to Eccentric Rotating a Porous Disk and a Fluid at Infinity J. Appl. Mech. 43 203-204
[10]  
Aristov S. N.(1977)Flow due to Non-Coaxial Rotations of Porous Disk and a Fluid at Infinity Rev. Roumaine Sci. Tech. Ser. Méc. Appl. 22 171-178