Magnetohydrodynamic Viscous Flow Separation in a Channel With Constrictions

An analysis is made of the flow of an electrically conducting fluid in a channel with constrictions in the presence of a uniform transverse magnetic field. A solution technique for governing magnetohydrodynamic (MHD) equations in primitive variable formulation is developed. A coordinate stretching is used to map the long irregular geometry into a finite computational domain. The governing equations are discretized using finite difference approximations and the well-known staggered grid of Harlow and Welch is used. Pressure Poisson equation and pressure-velocity correction formulas are derived and solved numerically

[1]  M. R. Roach,et al.  Blood flow downstream of a two-dimensional bifurcation. , 1973, Journal of theoretical biology.

[2]  R. T. Cheng,et al.  Numerical Solution of the Navier‐Stokes Equations by the Finite Element Method , 1972 .

[3]  T. Mullin,et al.  Nonlinear flow phenomena in a symmetric sudden expansion , 1990, Journal of Fluid Mechanics.

[4]  D. A. Mcdonald.  Blood flow in arteries , 1974 .

[5]  J. C. Misra,et al.  HYDROMAGNETIC FLOW OF A SECOND-GRADE FLUID IN A CHANNEL — SOME APPLICATIONS TO PHYSIOLOGICAL SYSTEMS , 1998 .

[6]  F. Harlow,et al.  Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface , 1965 .

[7]  C. W. Hirt.  Heuristic stability theory for finite-difference equations☆ , 1968 .

[8]  Mohamed Gad-el-Hak,et al.  Separation control - Review , 1991 .

[9]  Y. Fung,et al.  Flow in Locally Constricted Tubes at Low Reynolds Numbers , 1970 .

[10]  F. Durst,et al.  Asymmetric flows and instabilities in symmetric ducts with sudden expansions , 1978, Journal of Fluid Mechanics.

[11]  J. A. Shercliff,et al.  A Textbook of Magnetohydrodynamics , 1965 .

[12]  W. Shyy,et al.  Development of a pressure-correction/ staggered-grid based multigrid solver for incompressible recirculating flows , 1993 .

[13]  F. Durst,et al.  The plane Symmetric sudden-expansion flow at low Reynolds numbers , 1993, Journal of Fluid Mechanics.

[14]  Huaxiong Huang,et al.  A finite difference method for flow in a constricted channel , 1995 .

[15]  I. Sobey.  Observation of waves during oscillatory channel flow , 1985, Journal of Fluid Mechanics.

[16]  Vardanian Va.  Effect of a magnetic field on blood flow , 1973 .

[17]  T. S. Lee,et al.  Steady Laminar Fluid Flow Through Variable Constrictions in Vascular Tube , 1994 .

[18]  F. Durst,et al.  Low Reynolds number flow over a plane symmetric sudden expansion , 1974, Journal of Fluid Mechanics.