Boundary Layers in Darcy–Brinkman Flow

2020 ◽  
Vol 143 (2) ◽  
Author(s):  
C. Y. Wang
Keyword(s):  
Boundary Layer ◽  
Porous Media ◽  
Fluid Flow ◽  
Boundary Layers ◽  
Darcy Number ◽  
Boundary Layer Theory ◽  
Brinkman Equation ◽  
Solid Inclusion ◽  
Saturated Porous Media ◽  
Shear Forces

Abstract Fluid flow in saturated porous media imbedded with a solid inclusion may be described by the Darcy–Brinkman equation. When the Darcy number is small, a boundary-layer theory, similar to Prandtl's theory for viscous flow, is established. The pressure and shear forces are predicted for Darcy–Brinkman flows over a variety of solid inclusions.

The Influence of Attached Boundary Layers in Determining the Optimum for Blades in Cascade

1965 ◽  
Vol 69 (655) ◽  
pp. 497-498
Author(s):  
W. K. Allan ◽  
B. S. Stratford
Keyword(s):  
Boundary Layer ◽  
Boundary Layers ◽  
Flow Model ◽  
Flow System ◽  
Boundary Layer Theory ◽  
Blade Passage ◽  
General Flow ◽  
Flow Through

Dr. Stratford (p. 133, February 1965 Journal) is to be supported in his endeavour to apply boundary layer theory to the prediction of optimum loading requirements in flow through blades in cascade. Inevitably some simplification of the general flow system in a blade passage is necessary if undue complexity is to be avoided. In the simplified flow model, however, care must be taken to avoid over-simplification, and the limitations imposed by legitimate approximations must be appreciated.

Effect of fluid flow on freezing and thawing of saturated porous media

1978 ◽  
Vol 364 (1716) ◽  
pp. 45-73 ◽  
Keyword(s):  
Porous Media ◽  
Fluid Flow ◽  
Seepage Flow ◽  
Saturated Porous Media ◽  
Ground Water Flow ◽  
Freezing And Thawing ◽  
Variable Theory ◽  
Complex Variable Theory ◽  
Protection Devices ◽  
Flow Effects

In this paper we obtain an analytical solution that describes the effect of seepage flow on the freezing and thawing of saturated porous media. This solution is obtained by using techniques from complex variable theory. Results are presented to show how fluid flow effects the shape and growth rates of frozen regions embedded in the porous media. The effect of a heat sink is included for both single and multiple frozen regions. Examples are presented to illustrate the effect of this ground water flow on the thawing of arctic permafrost with and without the presence of perma­frost protection devices.

Classical Boundary-Layer Theory

2018 ◽  
Author(s):  
Anatoly I. Ruban
Keyword(s):  
Boundary Layer ◽  
Boundary Layers ◽  
Boundary Layer Theory ◽  
Laminar Jet ◽  
Compressible Boundary Layers ◽  
Wedge Surface ◽  
Blasius Boundary Layer ◽  
Classical Boundary ◽  
Fast Rotating

Chapter 1 discusses the flows that can be described in the framework of Prandtl’s 1904 classical boundary-layer theory, including the Blasius boundary layer on a flat plate and the Falkner–Skan solutions for the boundary layer on a wedge surface. It presents Schlichting’s solution for the laminar jet and Tollmien’s solution for the viscous wake. These are followed by analysis of Chapman’s shear layer performed with the help of Prandtl’s transposition theorem. It also considers the boundary layer on the surface of a fast rotating cylinder with the purpose of linking the circulation around the cylinder with the speed of its rotation. It concludes discussion of the classical boundary-layer theory with analysis of compressible boundary layers, including the interactive boundary layers in hypersonic flows.

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