scholarly journals On Howard’s conjecture in heterogeneous shear flow problem

2003 ◽  
Vol 113 (4) ◽  
pp. 451-456 ◽  
Author(s):  
R. G. Shandil ◽  
Jagjit Singh
Keyword(s):  
Shear Flow ◽  
Flow Problem

On the pressure induced by the boundary layer on a flat plate in shear flow

1964 ◽  
Vol 19 (1) ◽  
pp. 1-10 ◽  
Author(s):  
Alar Toomre ◽  
Nicholas Rott
Keyword(s):  
Boundary Layer ◽  
Shear Flow ◽  
Flat Plate ◽  
Flow Problem ◽  
Leading Edge ◽  
Fourier Integral ◽  
Pressure Gradients ◽  
Uniform Shear ◽  
Uniform Shear Flow ◽  
Lateral Extent

The problem solved is that of the interaction between a laminar boundary layer on a semi-infinite flat plate and an oncoming shear flow of finite lateral dimensions bounded by uniform irrotational flow extending to infinity. The pressures along the plate and upstream of the same are deduced (to a linearized approximation) in the form of a Fourier integral based on the solution of a simpler periodic flow problem. It is found that while the assumption of an infinite, uniform shear flow gives asymptotically correct interaction pressure gradients on the plate near the leading edge, the pressure level even there (compared to upstream infinity) is strongly influenced by the boundedness of the external shear. At distances from the leading edge which are large compared to the lateral extent of the shear flow, the pressure gradients along the plate are shown to be vanishingly smaller than in the infinite shear case.

The rigid-rod model for nematic polymers: An analysis of the shear flow problem

1999 ◽  
Vol 43 (3) ◽  
pp. 829-843 ◽  
Author(s):  
V. Faraoni ◽  
M. Grosso ◽  
S. Crescitelli ◽  
P. L. Maffettone
Keyword(s):  
Shear Flow ◽  
Flow Problem ◽  
Rod Model ◽  
Rigid Rod ◽  
Nematic Polymers
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