SIMULATION OF COUPLED FLOWS IN ADJACENT POROUS AND OPEN DOMAINS USING ACONTROL-VOLUME FINITE-ELEMENT METHOD

A control-volume finite-element method is used for simulations of flows through coupled fluid-saturated porous and open domains. The Brinkman-Forchheimer equations are used to model the flow in the porous domain. Modeling at the interface is emphasized, and full consistency is ensured. No special modifications need to be implemented in the numerical procedures and computer codes developed to deal primarily with flows in open domains, the interface conditions being treated in a consistent and natural way. Three illustrative examples involving flows parallel to the interface, flows normal to the interface, and combined parallel-normal flows are presented.

[1]  R. Kessler,et al.  Comparison of finite-volume numerical methods with staggered and colocated grids , 1988 .

[2]  Khalil Khanafer,et al.  DOUBLE-DIFFUSIVE MIXED CONVECTION IN A LID-DRIVEN ENCLOSURE FILLED WITH A FLUID-SATURATED POROUS MEDIUM , 2002 .

[3]  M. Kaviany,et al.  Principles of Heat Transfer , 2001 .

[4]  M. Kaviany.  Principles of heat transfer in porous media , 1991 .

[5]  S. Patankar.  Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[6]  R. Aris,et al.  FINITE ELEMENT FORMULATIONS FOR LARGE-SCALE, COUPLED FLOWS IN ADJACENT POROUS AND OPEN FLUID DOMAINS , 1994 .

[7]  Bantwal R. Baliga,et al.  CO-LOCATED EQUAL-ORDER CONTROL-VOLUME FINITE-ELEMENT METHOD FOR MULTIDIMENSIONAL, INCOMPRESSIBLE, FLUID FLOW—PART II: VERIFICATION , 1994 .

[8]  Kankanhalli N. Seetharamu,et al.  DOUBLE-DIFFUSIVE NATURAL CONVECTION IN AN ENCLOSURE FILLED WITH FLUID-SATURATED POROUS MEDIUM: A GENERALIZED NON-DARCY APPROACH , 1996 .

[9]  C. Hickox,et al.  Simulation of Coupled Viscous and Porous Flow Problems , 1996 .

[10]  A. Mohamad,et al.  Non-Darcy effects in buoyancy driven flows in an enclosure filled with vertically layered porous media , 2002 .

[11]  G. Neale,et al.  Practical significance of brinkman's extension of darcy's law: Coupled parallel flows within a channel and a bounding porous medium , 1974 .

[12]  Kambiz Vafai,et al.  Analysis of flow and heat transfer at the interface region of a porous medium , 1987 .

[13]  A. Figueiredo,et al.  A control‐volume based finite element method for three‐dimensional incompressible turbulent fluid flow, heat transfer, and related phenomena , 1995 .

[14]  A. Bejan,et al.  Convection in Porous Media , 1992 .

[15]  S. Richardson,et al.  A model for the boundary condition of a porous material. Part 2 , 1971, Journal of Fluid Mechanics.

[16]  C. Rhie,et al.  Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation , 1983 .

[17]  Geoffrey Ingram Taylor,et al.  A model for the boundary condition of a porous material. Part 1 , 1971, Journal of Fluid Mechanics.

[18]  Suhas V. Patankar,et al.  A CONTROL VOLUME-BASED FINITE-ELEMENT METHOD FOR SOLVING THE NAVIER-STOKES EQUATIONS USING EQUAL-ORDER VELOCITY-PRESSURE INTERPOLATION , 1984 .

[19]  D. Joseph,et al.  Boundary conditions at a naturally permeable wall , 1967, Journal of Fluid Mechanics.

[20]  E. Sparrow,et al.  Fully Developed Flow and Heat Transfer in Ducts Having Streamwise-Periodic Variations of Cross-Sectional Area , 1977 .

[21]  Moh’d A. Al-Nimr,et al.  Transient non-Darcian forced convection flow in a pipe partially filled with a porous material , 1998 .

[22]  K. Vafai,et al.  Non-Darcian effects on double-diffusive convection within a porous medium , 1997 .