Rotational Oscillations of a Porous Spherical Shell in Viscous Fluid

2020 ◽  
Vol 55 (6) ◽  
pp. 817-824
Author(s):  
O. A. Bazarkina ◽  
N. G. Taktarov
Keyword(s):  
Viscous Fluid ◽  
Spherical Shell ◽  
Porous Spherical Shell ◽  
Rotational Oscillations

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

Creeping Flow Relative to a Porous Spherical Shell

2000 ◽  
Vol 16 (3) ◽  
pp. 137-143
Author(s):  
Ming-Da Chen ◽  
Wang-Long Li
Keyword(s):  
Spherical Shell ◽  
Stokes Equations ◽  
Creeping Flow ◽  
Free Fluid ◽  
Fluid Interfaces ◽  
Stress Jump ◽  
The Core ◽  
Porous Spherical Shell ◽  
Darcy Equations ◽  
Shell Region

ABSTRACTIn this study, the problem of creeping flow relative to an isolated porous spherical shell has been examined. The Brinkman-extended Darcy equations and the Stokes' equations are utilized to model the flow in the porous region (shell region) and free fluid region (inside the core and outside the shell), respectively. The stress jump boundary conditions at the porous media/free fluid interfaces are included and the exact solution has been found. The drag experienced by the porous shell has been discussed for various jump parameters and shell thickness.

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.

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