New kind of boundary layer over a convex solid boundary in a rarefied gas

1973 ◽  
Vol 16 (9) ◽  
pp. 1422 ◽  
Author(s):  
Yoshio Sone
Keyword(s):  
Boundary Layer ◽  
Rarefied Gas ◽  
Solid Boundary

Non-Darcian Boundary Layer Flow and Forced Convective Heat Transfer Over a Flat Plate in a Fluid-Saturated Porous Medium

1990 ◽  
Vol 112 (1) ◽  
pp. 157-162 ◽  
Author(s):  
A. Nakayama ◽  
T. Kokudai ◽  
H. Koyama
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Porous Medium ◽  
Flat Plate ◽  
Similarity Solution ◽  
Temperature Fields ◽  
Solid Boundary ◽  
Local Similarity ◽  
Viscous Term ◽  
Inertia Term

The local similarity solution procedure was successfully adopted to investigate non-Darcian flow and heat transfer through a boundary layer developed over a horizontal flat plate in a highly porous medium. The full boundary layer equations, which consider the effects of convective inertia, solid boundary, and porous inertia in addition to the Darcy flow resistance, were solved using novel transformed variables deduced from a scale analysis. The results from this local similarity solution are found to be in good agreement with those obtained from a finite difference method. The effects of the convective inertia term, boundary viscous term, and porous inertia term on the velocity and temperature fields were examined in detail. Furthermore, useful asymptotic expressions for the local Nusselt number were derived in consideration of possible physical limiting conditions.

Elastico-viscous boundary-layer flows I. Two-dimensional flow near a stagnation point

1964 ◽  
Vol 60 (3) ◽  
pp. 667-674 ◽  
Author(s):  
D. W. Beard ◽  
K. Walters
Keyword(s):  
Boundary Layer ◽  
Stagnation Point ◽  
Solid Boundary ◽  
Two Dimensional ◽  
Boundary Layer Flows ◽  
Viscous Boundary Layer ◽  
Boundary Layer Equations ◽  
Dimensional Flow ◽  
Two Dimensional Flow ◽  
Viscous Boundary

AbstractThe Prandtl boundary-layer theory is extended for an idealized elastico-viscous liquid. The boundary-layer equations are solved numerically for the case of two-dimensional flow near a stagnation point. It is shown that the main effect of elasticity is to increase the velocity in the boundary layer and also to increase the stress on the solid boundary.

Evanescent Volume Wave Spectroscopy of the Gas-Solid Boundary Layer

2001 ◽  
Vol 12 (12) ◽  
pp. 41_1
Author(s):  
V. G. Bordo ◽  
H.-G. Rubahn
Keyword(s):  
Boundary Layer ◽  
Solid Boundary ◽  
Volume Wave

Approximate Calculation of the Laminar Boundary Layer

1949 ◽  
Vol 1 (3) ◽  
pp. 245-280 ◽  
Author(s):  
B. Thwaites
Keyword(s):  
Boundary Layer ◽  
Laminar Boundary Layer ◽  
Applied Mathematics ◽  
Equations Of Motion ◽  
Momentum Equation ◽  
Solid Boundary ◽  
Approximate Methods ◽  
Principal Characteristics ◽  
Two Dimensional Flow ◽  
In Series

The steady two-dimensional flow of viscous incompressible fluid in the boundary layer along a solid boundary, which is governed by Prandtl's approximation to the full equations of motion, presents a problem which in general is as intractable as any in applied mathematics. The problem, however, has such an immediate and necessary application that approximate methods of varying accuracy which go beyond the formal processes of expansions in series and so on, have been devised for the rapid calculation of the principal characteristics of the laminar boundary-layer, the variation of pressure along the surface being known. Such methods usually represent approximately the boundary-layer velocity distribution at any point by one of a known family of distributions whose spacing along the surface is determined by some means, often by the use of Kármán's momentum equation.

scholarly journals Exact Solutions of Boundary Layer Equations in Polymer Solutions

Symmetry ◽  
2021 ◽  
Vol 13 (11) ◽  
pp. 2101
Author(s):  
Oksana A. Burmistrova ◽  
Sergey V. Meleshko ◽  
Vladislav V. Pukhnachev
Keyword(s):  
Boundary Layer ◽  
Exact Solutions ◽  
Invariant Solution ◽  
Stationary Problem ◽  
Solid Boundary ◽  
Invariant Solutions ◽  
Boundary Layer Equations ◽  
New Exact Solutions ◽  
Logarithmic Curve ◽  
Solutions Of Equations

The paper presents new exact solutions of equations derived earlier. Three of them describe unsteady motions of a polymer solution near the stagnation point. A class of partially invariant solutions with a wide functional arbitrariness is found. An invariant solution of the stationary problem in which the solid boundary is a logarithmic curve is constructed.

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