On the asymptotic behaviour and stochastic stabilization of second grade fluids

Stochastics ◽  
2019 ◽  
Vol 91 (7) ◽  
pp. 1020-1040 ◽  
Author(s):  
Fernanda Cipriano
Keyword(s):  
Asymptotic Behaviour ◽  
Second Grade ◽  
Stochastic Stabilization ◽  
Second Grade Fluids

Two‐layer flows of generalized immiscible second grade fluids in a rectangular channel

2019 ◽  
Vol 43 (3) ◽  
pp. 1337-1348
Author(s):  
Liang Luo ◽  
Nehad Ali Shah ◽  
Ibrahim M. Alarifi ◽  
Dumitru Vieru
Keyword(s):  
Rectangular Channel ◽  
Second Grade ◽  
Second Grade Fluids

On the Unsteady Flow of Two Incompressible Immiscible Second Grade Fluids between Two Parallel Plates

2014 ◽  
Vol 1016 ◽  
pp. 546-553
Author(s):  
Abdul M. Siddiqui ◽  
Maya K. Mitkova ◽  
Ali R. Ansari
Keyword(s):  
Unsteady Flow ◽  
Pressure Gradient ◽  
Analytical Solutions ◽  
Interface Velocity ◽  
Time Dependent ◽  
Second Grade ◽  
Parallel Plates ◽  
Governing Equations ◽  
Layer Flow ◽  
Second Grade Fluids

Unsteady, pressure driven in the gap between two parallel plates flow of two non-Newtonian incompressible second grade fluids is considered. The governing equations are established for the particular two-layer flow and analytical solutions of the equations that satisfy the imposed boundary conditions are obtained. The velocity of each fluid is expressed as function of the material constants, time dependent pressure gradient and other characteristics of the fluids. As part of the solution, an expression for the interface velocity is derived. We analyze the shift of the velocity maximum from one to another fluid as a function of variety of values of fluids’ parameters.

STATIONARY SOLUTIONS FOR SECOND GRADE FLUIDS EQUATIONS

1998 ◽  
Vol 08 (05) ◽  
pp. 737-748 ◽  
Author(s):  
DIDIER BRESCH ◽  
JÉRÔME LEMOINE
Keyword(s):  
Fixed Point ◽  
Existence And Uniqueness ◽  
Stationary Solutions ◽  
Fixed Point Method ◽  
Point Method ◽  
Second Grade ◽  
Open Set ◽  
Second Grade Fluids

We discuss the existence and uniqueness for stationary second grade fluids. We give results in Lr(Ω)3 where r > 3, for an open set Ω which is only of class [Formula: see text]. This relies on a fixed point method.

scholarly journals Basic Flows of Generalized Second Grade Fluids Based on a Sisko Model

2017 ◽  
Vol 22 (4) ◽  
pp. 1019-1033
Author(s):  
A. Walicka
Keyword(s):  
Couette Flow ◽  
Poiseuille Flow ◽  
Equations Of Motion ◽  
Plane Channel ◽  
Second Grade ◽  
Sisko Fluid ◽  
Coaxial Cylinders ◽  
Solutions Of Equations ◽  
Simple Flows ◽  
Second Grade Fluids

Abstract The present investigation is concerned with basic flows of generalized second grade fluids based on a Sisko fluid. After formulation of the general equations of motion three simple flows of viscoplastic fluids of a Sisko type or fluids similar to them are considered. These flows are: Poiseuille flow in a plane channel, Poiseuille flow in a circular pipe and rotating Couette flow between two coaxial cylinders. After presentation the Sisko model one was presented some models of fluids similar to this model. Next it was given the solutions of equations of motion for three flows mentioned above.

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