scholarly journals Connection between Classical Solutions of Stokes first Problem and those of Simple Couette Flow. Applications

2020 ◽  
Vol 2 (3) ◽  
pp. 1-3
Author(s):  
Constantin Fetecau ◽  
◽  
Marneni Narahari ◽  
Keyword(s):  
Shear Stress ◽  
Exact Solutions ◽  
Couette Flow ◽  
Direct Consequence ◽  
Viscous Fluids ◽  
Classical Solutions ◽  
New Exact Solutions ◽  
Constant Shear ◽  
Constant Shear Stress

The classical solutions of the first problem of Stokes for viscous fluids, as it was to be expected, are obtained as limiting cases of those of the simple Couette flow. Something similar is valid for the motions of the fluids induced by a constant shear stress on the boundary. As a direct consequence, new exact solutions are immediately obtained for other two classes of motions of the same fluids.

scholarly journals New Exact Solutions for an Oldroyd-B Fluid in a Porous Medium

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
I. Khan ◽  
M. Imran ◽  
K. Fakhar
Keyword(s):  
Porous Medium ◽  
Shear Stress ◽  
Exact Solutions ◽  
Strong Influence ◽  
Stress Fields ◽  
Porous Space ◽  
New Exact Solutions ◽  
Laplace Transform Technique ◽  
Similar Solutions ◽  
Analytical Expressions

New exact solutions for unsteady magnetohydrodynamic (MHD) flows of an Oldroyd-B fluid have been derived. The Oldroyd-B fluid saturates the porous space. Two different flow cases have been considered. The analytical expressions for velocity and shear stress fields have been obtained by using Laplace transform technique. The corresponding solutions for hydrodynamic Oldroyd-B fluid in a nonporous space appeared as the limiting cases of the obtained solutions. Similar solutions for MHD Newtonian fluid passing through a porous space are also recovered. Graphs are sketched for the pertinent parameters. It is found that the MHD and porosity parameters have strong influence on velocity and shear stress fields.

Behaviour of recompacted residual soils in a constant shear stress path

2010 ◽  
Vol 47 (6) ◽  
pp. 648-661 ◽  
Author(s):  
S. M. Junaideen ◽  
L. G. Tham ◽  
K. T. Law ◽  
F. C. Dai ◽  
C. F. Lee
Keyword(s):  
Shear Stress ◽  
Soil Mechanics ◽  
Stress Path ◽  
Experimental Program ◽  
Published Data ◽  
Residual Soils ◽  
Constant Shear ◽  
Constant Shear Stress ◽  
Path Dependent ◽  
Soil Behaviour

The significance of studying soil behaviour in a constant shear stress path to understand rain-induced slope failures and debris flows has long been recognized. Studies with constant shear tests have, however, been limited, and some past results from undisturbed soils appear to show stress path–dependent volume change behaviour. The present study systematically investigates the behaviour of recompacted residual soils in a constant shear stress path using a comprehensive experimental program. It is shown that the results of this test program and previously published data can be interpreted using the concepts of critical-state soil mechanics.

Couette Flow of a Generalized Oldroyd-B Fluid due to Constantly Accelerated Shear Stress Coupled with the Pressure Gradient

2011 ◽  
Vol 354-355 ◽  
pp. 179-182
Author(s):  
Chun Rui Li ◽  
Lian Cun Zheng ◽  
Xin Xin Zhang ◽  
Jia Jia Niu
Keyword(s):  
Shear Stress ◽  
Laplace Transform ◽  
Pressure Gradient ◽  
Exact Solutions ◽  
Couette Flow ◽  
Fractional Derivatives ◽  
Hankel Transform ◽  
Time Dependent ◽  
Infinite Cylinder ◽  
Finite Hankel Transform

This paper presented an analysis for the couette flow of a generalized Oldroyd-B fluid within an infinite cylinder subject to a time-dependent shear stress with the influence of the internal constantly decelerated pressure gradient. The exact solutions are established by means of the combine of the sequential fractional derivatives Laplace transform and finite Hankel transform and presented by integral and series form in terms of the Mittag-Leffler function. Moreover, the effects of various parameters are analyzed in detail by graphical illustrations.

scholarly journals Yielding Characteristic and Non-Coaxiality of Toyoura Sand on p′-Constant Shear Stress Plane

2011 ◽  
Vol 51 (1) ◽  
pp. 179-190 ◽  
Author(s):  
Hiroshi Ohkawa ◽  
Jiro Kuwano ◽  
Takafumi Nakada ◽  
Shinya Tachibana
Keyword(s):  
Shear Stress ◽  
Constant Shear ◽  
Stress Plane ◽  
Constant Shear Stress ◽  
Toyoura Sand
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