Couette and Poiseuille flows in a low viscosity asthenosphere: Effects of internal heating rate, Rayleigh number, and plate representation

2015 ◽  
Vol 246 ◽  
pp. 31-40 ◽  
Author(s):  
C. Shiels ◽  
S.L. Butler
Keyword(s):  
Rayleigh Number ◽  
Heating Rate ◽  
Internal Heating ◽  
Low Viscosity ◽  
Couette And Poiseuille Flows ◽  
Poiseuille Flows

scholarly journals Effect of Vadasz Number on Magnetoconvection in a Darcy Porous Layer with Concentration Based Internal Heating

2019 ◽  
pp. 1-13
Author(s):  
C. Israel-Cookey ◽  
L. Ebiwareme ◽  
E. Amos
Keyword(s):  
Magnetic Field ◽  
Rayleigh Number ◽  
Porous Layer ◽  
Internal Heat ◽  
Lewis Number ◽  
Mode Analysis ◽  
Internal Heating ◽  
Vadasz Number ◽  
The Stability ◽  
Solutal Rayleigh Number

In this research article, the effect of Vadasz number on magnetoconvection in a Darcy Porous Layer with concentration based internal heating is studied. The flow is governed by the Oberbeck-Boussineq model for Newtonian fluid. The stability analysis method based on the perturbation of infinitesimal amplitude is carried out using the normal mode analysis. The onset criterion for both the stationary and oscillatory convection on the stability of system is obtained. The analysis examines the effects of pertinent parameters on the stability of the system: magnetic field parameter, solutal Rayleigh number, Lewis number and Vadasz number. The result show that, internal heat parameter,  and Lewis number, , hastens the onset of instability in the system, whereas magnetic field, , Vadasz number,  and solutal Rayleigh number,  delay the onset of instability.

Homotopy analysis of Couette and Poiseuille flows for fourth grade fluids

2005 ◽  
Vol 180 (1-4) ◽  
pp. 117-132 ◽  
Author(s):  
A. M. Siddiqui ◽  
M. Ahmed ◽  
S. Islam ◽  
Q. K. Ghori
Keyword(s):  
Fourth Grade ◽  
Homotopy Analysis ◽  
Couette And Poiseuille Flows ◽  
Poiseuille Flows

Exact solutions for Couette and Poiseuille flows for fourth grade fluids

2006 ◽  
Vol 188 (1-2) ◽  
pp. 69-78 ◽  
Author(s):  
T. Hayat ◽  
R. Ellahi ◽  
F. M. Mahomed
Keyword(s):  
Exact Solutions ◽  
Fourth Grade ◽  
Couette And Poiseuille Flows ◽  
Poiseuille Flows

scholarly journals Optimal Control of Particle Advection in Couette and Poiseuille Flows

2013 ◽  
Vol 2013 ◽  
pp. 1-4 ◽  
Author(s):  
Teresa Grilo ◽  
Fernando Lobo Pereira ◽  
Sílvio Gama
Keyword(s):  
Optimal Control ◽  
Control Systems ◽  
Dynamic Control ◽  
Mathematical Framework ◽  
State Variable ◽  
Underwater Gliders ◽  
Time Control ◽  
The Pontryagin Maximum Principle ◽  
Couette And Poiseuille Flows ◽  
Poiseuille Flows

We present the problem of minimum time control of a particle advected in Couette and Poiseuille flows and solve it by using the Pontryagin maximum principle. This study is a first step of an effort aiming at the development of a mathematical framework for the control and optimization of dynamic control systems whose state variable is driven by interacting ODEs and PDEs which can be applied in the control of underwater gliders and mechanical fishes.

scholarly journals On Weak Plane Couette and Poiseuille Flows of Rigid Rod and Platelet Ensembles

2006 ◽  
Vol 66 (4) ◽  
pp. 1227-1260 ◽  
Author(s):  
Zhenlu Cui ◽  
M. Gregory Forest ◽  
Qi Wang ◽  
Hong Zhou
Keyword(s):  
Rigid Rod ◽  
Weak Plane ◽  
Couette And Poiseuille Flows ◽  
Poiseuille Flows
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