scholarly journals Numerical Simulation of 2D Flow through a Packed Bed of Square Cylinders

2012 ◽  
Vol 326-328 ◽  
pp. 725-730 ◽  
Author(s):  
P.J.S.A. Ferreira de Sousa ◽  
Isabel Malico ◽  
Gérson Fernandes
Keyword(s):  
Plane Channel ◽  
Packed Bed ◽  
Porous Matrix ◽  
Immersed Boundary ◽  
Square Cylinders ◽  
Finite Differences Method ◽  
Flow Past A Cylinder ◽  
Compact Finite Differences ◽  
Flow Through ◽  
Flow Configurations

This paper is centred on a compact finite differences method for the calculation of two-dimensional viscous flows through complex geometries. The immersed boundaries are set through body forces that allow for the imposition of boundary conditions that coincide with the computational grid. Two different flow configurations are simulated. First, the flow past a cylinder with square cross-section inside a plane channel is calculated. The computed average drag coefficient and Strouhal number are compared to data available in the literature. The agreement between the results is good. The second flow configuration analyzed is the flow through a porous matrix composed of equal size staggered square cylinders. Flow visualization results are shown. The work presented in this paper illustrates the potential of the immersed boundary method in general and of this implementation in particular to simulate the flow through porous matrices.

scholarly journals 2D Flow in a Wall-Bounded Porous Medium

2013 ◽  
Vol 334-335 ◽  
pp. 359-364 ◽  
Author(s):  
P.J.S.A. Ferreira de Sousa ◽  
Isabel Malico ◽  
Gérson Fernandes
Keyword(s):  
Boundary Conditions ◽  
Drag Coefficient ◽  
Cross Sections ◽  
Porous Matrix ◽  
Finite Differences Method ◽  
2D Flow ◽  
Compact Finite Differences ◽  
Flow Through ◽  
Flow Configurations ◽  
Immersed Boundaries

A compact finite differences method is used to calculate two-dimensional viscous flows through complex geometries. The immersed boundaries are set through body forces that allow for the imposition of boundary conditions that coincide with the computational grid. Two different flow configurations are simulated. First, the flow through a row of cylinders with square cross-sections is calculated and used as a validation study. The computed average drag coefficient and Strouhal number are compared to data available in the literature, showing a good agreement between the results. The second flow configuration analyzed is the flow through a porous matrix composed of equal size staggered square cylinders. Flow visualization results are shown and various flow regimes identified. Different inlet boundary conditions are compared. The drag coefficient is larger when a uniform inlet velocity is prescribed and the variability between cylinders is lower.

Direct Numerical Simulation of the Pressure Drop through Structured Porous Media

2015 ◽  
Vol 364 ◽  
pp. 192-200 ◽  
Author(s):  
I. Malico ◽  
C. Ferrão ◽  
P.J.S.A. Ferreira de Sousa
Keyword(s):  
Porous Media ◽  
Pressure Drop ◽  
Flow Direction ◽  
Particle Diameter ◽  
Reynolds Numbers ◽  
Immersed Boundary ◽  
Square Cylinders ◽  
Compact Finite Differences ◽  
Flow Through ◽  
Semi Empirical

This paper presents direct numerical simulations for the flow through regular porous media composed of equal size staggered square cylinders obtained with a compact finite differences immersed boundary method. Different moderate Reynolds numbers are simulated in order to capture the dependence of the pressure drop with the Reynolds number in the Forchheimer regime. The pressure drop predictions agree well with the Hazen-Dupuit-Darcy model; however, when compared to a widely used semi-empirical correlation, the modified Ergun equation, the agreement is poor. A better agreement is found if the particle diameter is taken to be equal to the cylinder diameter. From the intrinsic-averaged pressure calculated along the flow direction, it can be seen that, for the porous media studied, the bulk pressure drop dominates and the entrance and exit effects are negligible.

A Survey of Heat Transfer in Separated and Reattached Flows

2000 ◽  
Vol 53 (8) ◽  
pp. 219-235 ◽  
Author(s):  
Terukazu Ota
Keyword(s):  
Heat Transfer ◽  
Mass Transfer ◽  
Heat Exchangers ◽  
Plane Channel ◽  
Review Article ◽  
Sudden Expansion ◽  
Expansion Tube ◽  
Geometric Configurations ◽  
Laminar And Turbulent Flow ◽  
Flow Configurations

Heat and mass transfer in the separated, reattached, and redeveloping regions of incompressible or compressible flow is very important in relation to many types of heat exchangers. There have been numerous works published describing these flows for a wide variety of geometric configurations, In the present article, a survey is made of published studies of heat transfer in the separated, reattached, and redeveloping regions of incompressible flow around or in a wide variety of flow configurations. Flow configurations cited in the article are the downward facing step, the sudden expansion plane channel, the abrupt expansion tube, the blunt flat plate, the longitudinal blunt circular cylinder, and the surface mounted obstacle. The laminar and turbulent flow cases using both experimental and numerical methodologies are reviewed. This review article includes 268 references.

scholarly journals The Importance of Nanoparticles Addition in a Base Fluid Flow through a Porous Medium

2013 ◽  
Vol 8-9 ◽  
pp. 225-234
Author(s):  
Dalia Sabina Cimpean
Keyword(s):  
Porous Medium ◽  
Fluid Flow ◽  
Boundary Conditions ◽  
Mixed Convection ◽  
Mathematical Models ◽  
Base Fluid ◽  
Porous Matrix ◽  
Fluid Properties ◽  
Flow Through ◽  
Energy Equations

The present study is focused on the mixed convection fluid flow through a porous medium, when a different amount of nanoparticles is added in the base fluid. The nanofluid saturates the porous matrix and different situations of the flow between two walls are presented and discussed. Alternatively mathematical models are presented and discussed. A solution of a system which contains the momentum, Darcy and energy equations, together with the boundary conditions involved, is given. The behavior of different nanofluids, such thatAu-water, Ag-waterandFe-wateris graphically illustrated and compared with the previous results.The research target is to observe the substantial increase of the thermophysical fluid properties, when the porous medium issaturated by a nanofluid instead of a classical Newtonian fluid.

Computation of Flow Through a Three-Dimensional Periodic Array of Porous Structures by a Parallel Immersed-Boundary Method

2014 ◽  
Vol 136 (4) ◽  
Author(s):  
Zhenglun Alan Wei ◽  
Zhongquan Charlie Zheng ◽  
Xiaofan Yang
Keyword(s):  
Porous Media ◽  
Parallel Implementation ◽  
Flow Behavior ◽  
Three Dimensional ◽  
Flow Simulation ◽  
Periodic Array ◽  
Immersed Boundary ◽  
Navier Stokes Equation ◽  
Flow Through ◽  
Ib Method

A parallel implementation of an immersed-boundary (IB) method is presented for low Reynolds number flow simulations in a representative elementary volume (REV) of porous media that are composed of a periodic array of regularly arranged structures. The material of the structure in the REV can be solid (impermeable) or microporous (permeable). Flows both outside and inside the microporous media are computed simultaneously by using an IB method to solve a combination of the Navier–Stokes equation (outside the microporous medium) and the Zwikker–Kosten equation (inside the microporous medium). The numerical simulation is firstly validated using flow through the REVs of impermeable structures, including square rods, circular rods, cubes, and spheres. The resultant pressure gradient over the REVs is compared with analytical solutions of the Ergun equation or Darcy–Forchheimer law. The good agreements demonstrate the validity of the numerical method to simulate the macroscopic flow behavior in porous media. In addition, with the assistance of a scientific parallel computational library, PETSc, good parallel performances are achieved. Finally, the IB method is extended to simulate species transport by coupling with the REV flow simulation. The species sorption behaviors in an REV with impermeable/solid and permeable/microporous materials are then studied.

Two Phase Flow through Packed Bed Static and Dynamic Accessibilities of the Packing

1988 ◽  
pp. 253-261
Author(s):  
P. Marchot ◽  
M. Crine ◽  
J. C. Cal ◽  
M. Ausloos
Keyword(s):  
Two Phase Flow ◽  
Packed Bed ◽  
Phase Flow ◽  
Two Phase ◽  
Flow Through
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