A study of full Navier-Stokes equations of peristaltic flow in a porous-saturated tube under the inducement of magnetic field: Finite element analysis

The performance of a cylindrical bore bearing fed by two axial grooves orthogonal to the load line is analyzed by solving the Navier-Stokes equations using the finite element method. This produces detailed information about the three-dimensional velocity and pressure field within the hydrodynamic film. It is also shown that the method may be applied to long bearing geometries where recirculatory flows occur and in which the governing equations are elliptic. As expected the analysis confirms that lubricant inertia does not affect bearing performance significantly.

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A finite element analysis of steady viscous flow in triangular cavities

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1243/0954406991522635 ◽

1999 ◽

Vol 213 (3) ◽

pp. 263-276 ◽

Cited By ~ 17

Author(s):

P. H. Gaskell ◽

H. M. Thompson ◽

M. D. Savage

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Published Data ◽

Uniform Motion ◽

Element Formulation ◽

Computational Results ◽

Element Analysis ◽

Navier Stokes Equations ◽

Side Walls

A finite element formulation of the Navier—Stokes equations, written in terms of the stream function, ψ, and vorticity, ω, for a Newtonian fluid in the absence of body forces, is used to solve the problem of flow in a triangular cavity, driven by the uniform motion of one of its side walls. A key feature of the numerical method is that the difficulties associated with specifying ω at the corners are addressed and overcome by applying analytical boundary conditions on ω near these singularities. The computational results are found to agree well with previously published data and, for small stagnant corner angles, reveal the existence of a sequence of secondary recirculations whose relative sizes and strengths are in accord with Moffatt's classical theory. It is shown that, as the stagnant corner angle is increased beyond approximately 40°, the secondary recirculations diminish in size rapidly.

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Finite Element Analysis of Magnetohydrodynamic Pump Flow

13th Computers in Engineering Conference ◽

10.1115/cie1993-0077 ◽

1993 ◽

Author(s):

K. J. Berry ◽

T. M. Cameron

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Stokes Equations ◽

Fluid Motion ◽

Field Analysis ◽

Navier Stokes ◽

Pump Efficiency ◽

Element Analysis ◽

Conservation Of Energy ◽

Pump Flow

Abstract A Finite Element Analysis (FEA) parametric study of 2D Magnetohydrodynamic (MHD) pump flow is presented. The analysis assumes steady, viscous, incompressible fluid flow in the presence of a magnetic field applied normal to the plane of motion. The fluid is electrically conducting and the analysis is applicable to the design and performance evaluation of DC electromagnetic MHD pumps. The primitive variable Galerkin finite element approach is used to discretize the complete Navier-Stokes equations governing fluid motion which are coupled to both the Maxwell’s equations governing electromagnetic fields, and the conservation of energy equation governing the temperature field. Analysis variables include: velocity; pressure; temperature; voltage; electric field; magnetic flux; current density and pump efficiency. These variables are evaluated for low to moderate values of the magnetic interactive parameter. The velocity field distortion is compared to other numerical results and insight into solution convergence difficulties is presented.

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