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.

scholarly journals Magnetohydrodynamic channel flow and variational principles

1987 ◽  
Vol 10 (2) ◽  
pp. 391-394
Author(s):  
Adnan A. El-Hajj
Keyword(s):  
Approximate Solution ◽  
Variational Principle ◽  
Boundary Conditions ◽  
Channel Flow ◽  
Variational Principles ◽  
Flow Problems ◽  
And Variational Principles ◽  
Magnetohydrodynamic Channel ◽  
The Given

This paper deals with magnetohydrodynamic channel flow problems. Attention is given to a variational principle where the boundary conditions are incorporated via a suitable functional which is stationary at the solution of the given problem; the trial functions used for the approximate solution need not satisfy any of the given boundary conditions.

The Influence of Wall Conductance on Magnetohydrodynamic Channel-Flow Heat Transfer

1964 ◽  
Vol 86 (4) ◽  
pp. 552-556 ◽  
Author(s):  
W. T. Snyder
Keyword(s):  
Heat Transfer ◽  
Electrical Conductivity ◽  
Channel Flow ◽  
Operating Conditions ◽  
Modes Of Operation ◽  
Electrical Loading ◽  
Finite Electrical Conductivity ◽  
Flow Heat ◽  
Magnetohydrodynamic Channel ◽  
Accelerator Modes

An analysis is made of the influence of finite electrical conductivity of the walls on fully developed magnetohydrodynamic channel-flow heat transfer. The analysis is based on arbitrary external electrical loading and is thus valid for both generator and accelerator modes of operation. Constant properties of the fluid and walls are assumed. It is shown that under certain operating conditions of external electrical loading, the fluid bulk to wall temperature difference for conducting walls differs substantially from that for electrically insulating walls. Representative numerical calculations are presented.

Finite element modeling of surge propagation and an application to the Hay River, N.W.T.

1992 ◽  
Vol 19 (3) ◽  
pp. 454-462 ◽  
Author(s):  
F. E. Hicks ◽  
P. M. Steffler ◽  
R. Gerard
Keyword(s):  
Finite Element ◽  
Channel Flow ◽  
Open Channel ◽  
Initial Conditions ◽  
Open Channel Flow ◽  
Kinematic Wave ◽  
Finite Element Scheme ◽  
Flow Problems ◽  
Ice Jam

This paper describes the application of the characteristic-dissipative-Galerkin method to steady and unsteady open channel flow problems. The robust performance of this new finite element scheme is demonstrated in modeling the propagation of ice jam release surges over a 500 km reach of the Hay River in Alberta and Northwest Territories. This demonstration includes the automatic determination of steady flow profiles through supercritical–subcritical transitions, establishing the initial conditions for the unsteady flow analyses. The ice jam releases create a dambreak type of problem which begins as a very dynamic situation then develops into an essentially kinematic wave problem as the disturbance propagated downstream. The characteristic-dissipative-Galerkin scheme provided stable solutions not only for the extremes of dynamic and kinematic wave conditions, but also through the transition between the two. Key words: open channel flow, finite element method, dam break, surge propagation.

BLOOD FLOW IN CORONARY ARTERY BIFURCATION CALCULATED BY TURBULENT FINITE ELEMENT MODEL

2021 ◽  
Author(s):  
Aleksandar Nikolić ◽  
◽  
Marko Topalović ◽  
Milan Blagojević ◽  
Vladimir Simić
Keyword(s):  
Finite Element ◽  
Blood Flow ◽  
Kinetic Energy ◽  
Finite Element Model ◽  
Fluid Velocity ◽  
Fluid Pressure ◽  
Element Model ◽  
Viscous Sublayer ◽  
Flow Problems ◽  
Analysis Of Results

Simulation of blood flow in this paper is analyzed using two-equation turbulent finite element model that can calculate values in the viscous sublayer. Implicit integration of the equations is used for determining the fluid velocity, fluid pressure, turbulence, kinetic energy, and dissipation of turbulent kinetic energy. These values are calculated in the finite element nodes for each step of incremental- iterative procedure. Developed turbulent finite element model, with the customized generation of finite element meshes, is used for calculating complex blood flow problems. Analysis of results showed that a cardiologist can use proposed tools and methods for investigating the hemodynamic conditions inside bifurcation of arteries.

Effects of Bounce on Particle Transport, Deposition and Removal in Turbulent Channel Flow

2002 ◽  
Author(s):  
Ali Reza Mazaheri ◽  
Goodarz Ahmadi ◽  
Haifeng Zhang
Keyword(s):  
Numerical Simulation ◽  
Channel Flow ◽  
Particle Transport ◽  
Fluid Velocity ◽  
Turbulent Channel Flow ◽  
Equation Of Motion ◽  
Particle Bounce ◽  
Pseudo Spectral Method ◽  
Pseudo Spectral ◽  
Fluid Velocity Field

Effects of bounce on particle transport, deposition and removal in turbulent channel flow are studied. The pseudo-spectral method is used to generate the instantaneous turbulent fluid velocity field by Direct Numerical Simulation (DNS) procedure. The particle equation of motion includes all the relevant hydrodynamic forces. In addition, simulation accounts for particle adhesion, resuspension and rebound processes. For particle bounce from the surface, the critical velocity is evaluated and is used in the analysis. Effects of bounce during particle-wall collisions on the deposition rate are also studied.

Sign in / Sign up

Export Citation Format

Share Document