scholarly journals Spatial decay bounds in a linearized magnetohydrodynamic channel flow

2013 ◽  
Vol 12 (3) ◽  
pp. 1349-1361 ◽  
Author(s):  
Julie Lee ◽  
◽  
J. C. Song ◽  
Keyword(s):  
Channel Flow ◽  
Spatial Decay ◽  
Decay Bounds ◽  
Magnetohydrodynamic Channel

scholarly journals Spatial decay bounds for the channel flow of the Boussinesq equations

2011 ◽  
Vol 381 (1) ◽  
pp. 87-109 ◽  
Author(s):  
Yan Liu ◽  
Yuanfei Li ◽  
Yiwu Lin ◽  
Zhengan Yao
Keyword(s):  
Channel Flow ◽  
Boussinesq Equations ◽  
Spatial Decay ◽  
Decay Bounds

SPATIAL DECAY BOUNDS IN THE CHANNEL FLOW OF AN INCOMPRESSIBLE VISCOUS FLUID

2004 ◽  
Vol 14 (06) ◽  
pp. 795-818 ◽  
Author(s):  
CHANGHAO LIN ◽  
LAWRENCE E. PAYNE
Keyword(s):  
Laminar Flow ◽  
Viscous Fluid ◽  
Channel Flow ◽  
Exponential Decay ◽  
Transient Flow ◽  
Incompressible Viscous Fluid ◽  
Spatial Decay ◽  
Decay Bounds ◽  
Channel Boundary ◽  
Entrance Velocity

In this paper, we study the transient flow of an incompressible viscous fluid in a semi-infinite channel assuming adherence at the channel boundary. We show that under appropriate restrictions on the data if the fluid is initially at rest and the channel entrance velocity and/or channel width are sufficiently small, the solution will tend exponentially to a transient laminar flow as the distance form the entry section tends to infinity. In fact explicit exponential decay bounds are obtained.

scholarly journals A variational principle for magnetohydrodynamic channel flow

1970 ◽  
Vol 43 (1) ◽  
pp. 211-224 ◽  
Author(s):  
Norman C. Wenger
Keyword(s):  
Channel Flow ◽  
Variational Formulation ◽  
Fluid Velocity ◽  
Channel Cross Section ◽  
Mhd Generator ◽  
Square Channel ◽  
Flow Problems ◽  
Finite Electrical Conductivity ◽  
Magnetohydrodynamic Channel ◽  
Mhd Channel

A variational formulation is presented for a class of magnetohydrodynamic (MHD) channel flow problems. This formulation yields solutions for the fluid velocity and the induced electric potential in a channel with a uniform transverse static magnetic field. The channel cross-section is constant but arbitrary, and the channel walls can be either insulators or conductors with finite electrical conductivity. Electric currents are permitted to enter and leave the channel walls so that the solutions are suitable for MHD generator and pump applications. An example of a square channel with conducting walls is solved as an illustration.

Axisymmetric Magnetohydrodynamic Channel Flow

1962 ◽  
Vol 29 (2) ◽  
pp. 143-150 ◽  
Author(s):  
F. D. HAINS ◽  
Y. A. YOLER
Keyword(s):  
Channel Flow ◽  
Magnetohydrodynamic Channel
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