FLOW PAST POROUS SPHERICAL SHELL WITH RADIAL VARIATION OF PERMEABILITY

2016 ◽  
Vol 7 (3) ◽  
pp. 299-307
Author(s):  
Vineet Kumar Verma ◽  
Pawan Kumar Dixit
Keyword(s):  
Spherical Shell ◽  
Radial Variation ◽  
Flow Past ◽  
Porous Spherical Shell

scholarly journals Slow Extensional Flow Past a Non-Homogeneous Porous Spherical Shell

2013 ◽  
Vol 18 (2) ◽  
pp. 491-502 ◽  
Author(s):  
S.C. Rajvanshi ◽  
S. Wasu
Keyword(s):  
Spherical Shell ◽  
Finite Thickness ◽  
Extensional Flow ◽  
Radial Distance ◽  
Velocity Slip ◽  
Slip Boundary Condition ◽  
Analytical Investigation ◽  
Slip Boundary ◽  
Flow Past ◽  
Porous Spherical Shell

An analytical investigation of extensional flow past a porous spherical shell of finite thickness with velocity slip at the surface is presented. The permeability of the shell varies continuously as a function of the radial distance. The flow in the porous region is assumed to obey Darcy’s Law. The drag has been calculated in terms of normal volume flux rate per unit area of the outer and inner surfaces. Particular cases of flow past a homogeneous sphere and no-slip boundary condition have been deduced.

Low Reynolds number flow past a porous spherical shell

1973 ◽  
Vol 73 (1) ◽  
pp. 231-238 ◽  
Author(s):  
I. P. Jones
Keyword(s):  
Spherical Shell ◽  
Viscous Fluids ◽  
Curved Surfaces ◽  
Slow Viscous Flow ◽  
Low Reynolds Number Flow ◽  
Reynolds Number Flow ◽  
Porous Bodies ◽  
Flow Past ◽  
Porous Spherical Shell ◽  
Number Flow

AbstractThis paper is concerned with the flow of viscous fluids around and through porous bodies. Previous boundary conditions that have been used are discussed and a generalization of a boundary condition adopted by Beavers and Joseph, for plane boundaries, is proposed for curved surfaces. Using this condition the problem of slow viscous flow past a spherical shell is solved and several special limiting cases are considered.

scholarly journals Flow Due to Slow Steady Rotation of a Porous Spherical Shell in a Visco-Elastic Fluid

2015 ◽  
Vol 127 ◽  
pp. 1354-1362 ◽  
Author(s):  
N. Ch. Pattabhi Ramacharyulu ◽  
N. Ch. S.N. Iyengar
Keyword(s):  
Spherical Shell ◽  
Elastic Fluid ◽  
Porous Spherical Shell ◽  
Steady Rotation
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