Viscous Flow Past a Porous Spherical Shell—Effect of Stress Jump Boundary Condition

2005 ◽  
Vol 131 (12) ◽  
pp. 1291-1301 ◽  
Author(s):  
M. K. Partha ◽  
P. V. Murthy ◽  
G. P. Raja Sekhar
Keyword(s):  
Boundary Condition ◽  
Spherical Shell ◽  
Viscous Flow ◽  
Shell Effect ◽  
Stress Jump ◽  
Flow Past ◽  
Porous Spherical Shell ◽  
Stress Jump Boundary Condition

scholarly journals CREEPING FLOW PAST A POROUS APPROXIMATELY SPHERICAL SHELL: STRESS JUMP BOUNDARY CONDITION

2011 ◽  
Vol 52 (3) ◽  
pp. 289-300 ◽  
Author(s):  
D. SRINIVASACHARYA ◽  
M. KRISHNA PRASAD
Keyword(s):  
Boundary Condition ◽  
Spherical Shell ◽  
Stokes Equations ◽  
Jump Condition ◽  
Creeping Flow ◽  
Navier Stokes ◽  
Free Fluid ◽  
Stress Jump ◽  
Navier Stokes Equations ◽  
Stress Jump Boundary Condition

AbstractThe creeping flow of an incompressible viscous liquid past a porous approximately spherical shell is considered. The flow in the free fluid region outside the shell and in the cavity region of the shell is governed by the Navier–Stokes equations. The flow within the porous annular region of the shell is governed by Brinkman’s model. The boundary conditions used at the interface are continuity of the velocity, continuity of the pressure and Ochoa-Tapia and Whitaker’s stress jump condition. An exact solution for the problem and an expression for the drag on the porous approximately spherical shell are obtained. The drag is evaluated numerically for several values of the parameters governing the flow.

Natural Convection in a Cavity Partially Filled with a Vertical Porous Medium

2011 ◽  
Vol 321 ◽  
pp. 15-18 ◽  
Author(s):  
Fang Liu ◽  
Bao Ming Chen
Keyword(s):  
Heat Transfer ◽  
Finite Element Method ◽  
Boundary Condition ◽  
Porous Medium ◽  
Nusselt Number ◽  
Free Fluid ◽  
Stress Jump ◽  
Convection And Heat Transfer ◽  
Flow And Heat Transfer ◽  
Stress Jump Boundary Condition

The shear stress jump boundary condition that must be imposed at an interface between a porous medium and a free fluid in an enclosure is investigated. Two-domain approach is founded and finite element method is used to solve the problem. Three stress jump coefficients 0, 1, -1 are analyzed for different Rayleigh number, permeability and thickness of porous layer. Variation of Maximum stream function and Nusselt number show stronger convection and heat transfer when the stress jump coefficient is positive. There is little distinctive in flow and heat transfer when the value of coefficient is equal to 0 and -1.

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.

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