A concise and accurate solution for Poiseuille flow in a plane channel

1980 ◽  
Vol 21 (12) ◽  
pp. 2760-2763 ◽  
Author(s):  
C. E. Siewert ◽  
R. D. M. Garcia ◽  
P. Grandjean
Keyword(s):  
Poiseuille Flow ◽  
Plane Channel ◽  
Accurate Solution

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.

scholarly journals Simple Flows of Pseudoplastic Fluids Based on Dehaven Model

2017 ◽  
Vol 22 (4) ◽  
pp. 1035-1044
Author(s):  
A. Walicka
Keyword(s):  
Couette Flow ◽  
Poiseuille Flow ◽  
Equations Of Motion ◽  
Plane Channel ◽  
Coaxial Cylinders ◽  
Flow Through ◽  
Solutions Of Equations ◽  
Simple Flows ◽  
Pseudoplastic Fluids ◽  
Plastic Fluids

Abstract In this paper three simple flows of visco-plastic fluids of DeHaven type or fluids similar to them are considered. These flows are: Poiseuille flow in a plane channel, Poiseuille flow through a circular pipe and rotating Couette flow between two coaxial cylinders. After presentation DeHaven model it 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.

Effect of heat transfer on the plane-channel poiseuille flow of a thermo-viscous fluid

2000 ◽  
Vol 35 (2) ◽  
pp. 217-221 ◽  
Author(s):  
S. N. Aristov ◽  
V. G. Zelenina
Keyword(s):  
Heat Transfer ◽  
Viscous Fluid ◽  
Poiseuille Flow ◽  
Plane Channel

scholarly journals Macro-size drop encapsulation

2015 ◽  
Vol 769 ◽  
pp. 482-521 ◽  
Author(s):  
A. Maleki ◽  
S. Hormozi ◽  
A. Roustaei ◽  
I. A. Frigaard
Keyword(s):  
Yield Stress ◽  
Poiseuille Flow ◽  
Plane Channel ◽  
Capillary Forces ◽  
Viscoplastic Fluid ◽  
Length Scale ◽  
Carrier Fluid ◽  
Flow Features ◽  
Layer Flow ◽  
Set Up

Viscoplastic fluids do not flow unless they are sufficiently stressed. This property can be exploited in order to produce novel flow features. One example of such flows is viscoplastically lubricated (VPL) flow, in which a viscoplastic fluid is used to stabilize the interface in a multi-layer flow, far beyond what might be expected for a typical viscous–viscous interface. Here we extend this idea by considering the encapsulation of droplets within a viscoplastic fluid, for the purpose of transportation, e.g. in pipelines. The main advantage of this method, compared to others that involve capillary forces is that significantly larger droplets may be stably encapsulated, governed by the length scale of the flow and yield stress of the encapsulating fluid. We explore this set-up both analytically and computationally. We show that sufficiently small droplets are held in the unyielded plug of a Poiseuille flow (pipe or plane channel). As the length or radius of the droplets increases, the carrier fluid eventually yields, potentially breaking the encapsulation. We study this process of breaking and give estimates for the limiting size of droplets that can be encapsulated.

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