Steady Plane Poiseuille Flow of Viscous Incompressible Fluid between Two Porous Parallel Plates in Magnetic Field

2020 ◽  
Author(s):  
Dr. Anand Swrup Sharma
Keyword(s):  
Magnetic Field ◽  
Incompressible Fluid ◽  
Poiseuille Flow ◽  
Viscous Incompressible Fluid ◽  
Parallel Plates ◽  
Plane Poiseuille Flow ◽  
Steady Plane

Difference in Critical Reynolds Number Between Hagen-Poiseuille and Plane Poiseuille Flows

2001 ◽  
Author(s):  
Hidesada Kanda
Keyword(s):  
Experimental Data ◽  
Reynolds Number ◽  
Poiseuille Flow ◽  
Average Velocity ◽  
Critical Reynolds Number ◽  
Inlet Section ◽  
Parallel Plates ◽  
Plane Poiseuille Flow ◽  
Contraction Ratio ◽  
Significant Difference

Abstract For plane Poiseuille flow, results of previous investigations were studied, focusing on experimental data on the critical Reynolds number, the entrance length, and the transition length. Consequently, concerning the natural transition, it was confirmed from the experimental data that (i) the transition occurs in the entrance region, (ii) the critical Reynolds number increases as the contraction ratio in the inlet section increases, and (iii) the minimum critical Reynolds number is obtained when the contraction ratio is the smallest or one, and there is no-shaped entrance or straight parallel plates. Its value exists in the neighborhood of 1300, based on the channel height and the average velocity. Although, for Hagen-Poiseuille flow, the minimum critical Reynolds number is approximately 2000, based on the pipe diameter and the average velocity, there seems to be no significant difference in the transition from laminar to turbulent flow between Hagen-Poiseuille flow and plane Poiseuille flow.

scholarly journals Hodograph method in MHD orthogonal fluid flows

1992 ◽  
Vol 15 (1) ◽  
pp. 149-159
Author(s):  
P. V. Nguyen ◽  
O. P. Chandna
Keyword(s):  
Electrical Conductivity ◽  
Incompressible Fluid ◽  
Viscous Incompressible Fluid ◽  
Fluid Flows ◽  
Legendre Transform ◽  
Hodograph Method ◽  
Hodograph Plane ◽  
Finite Electrical Conductivity ◽  
Steady Plane

Equations for steady plane MHD orthogonal flows of a viscous incompressible fluid of finite electrical conductivity are recast in the hodograph plane by using the Legendre transform function of the streamfunction. Three examples are studied to illustrate the developed theory. Solutions and geometries for these examples are determined.

Joule heating effect on magnetohydrodynamic mixed convection boundary layer flow with variable electrical conductivity

2013 ◽  
Vol 23 (2) ◽  
pp. 275-288 ◽  
Author(s):  
Anwar Hossain ◽  
Rama Subba Reddy Gorla
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Mixed Convection ◽  
Incompressible Fluid ◽  
Transverse Magnetic Field ◽  
Joule Heating ◽  
Viscous Incompressible Fluid ◽  
Transverse Magnetic ◽  
Content Type ◽  
Electrically Conducting

PurposeThe paper's aim is to investigate the mixed convection flow of an electrically conducting and viscous incompressible fluid past an isothermal vertical surface with Joule heating in the presence of a uniform transverse magnetic field fixed relative to the surface. It was assumed that the electrical conductivity of the fluid varies linearly with the transverse velocity component.Design/methodology/approachThe governing boundary layer equations were solved numerically. The boundary layer equations were first reduced to a convenient form by using two different formulations, namely, (i) the stream function formulation (SFF) and (ii) primitive variable formulation (PVF).FindingsIt was observed that both the local shear‐stress and Nusselt number increase with increasing value of local magnetic parameter, ξ.Research limitations/implicationsIn the present investigation, we investigated the effects of Joule heating on MHD mixed convection boundary layer flow of an electrically conducting viscous incompressible fluid past an isothermal vertical flat plate in the presence of a transverse magnetic field fixed relative to the surface of the plate. The analysis was valid for a steady, two dimensional laminar flow. An extension to three dimensional flow case is left for future work.Practical implicationsHere we have analyzed the problem of mixed convection flow of electrically conducting and viscous incompressible fluid past an isothermal vertical surface with viscous and Joule heating in presence of a uniform transverse magnetic field fixed relative to the surface. The work would be useful in the thermal management of heat transfer devices.Originality/valueThe results of this study may be of interest to engineers interested in heat exchanger design.

Unsteady Flow in a Porous Medium Between Two Infinite Parallel Plates in Relative Motion

1985 ◽  
Vol 107 (4) ◽  
pp. 534-535 ◽  
Author(s):  
V. M. Soundalgekar ◽  
H. S. Takhar ◽  
M. Singh
Keyword(s):  
Porous Medium ◽  
Approximate Solution ◽  
Unsteady Flow ◽  
Incompressible Fluid ◽  
Phase Angle ◽  
Viscous Incompressible Fluid ◽  
Parallel Plates ◽  
Phase Lead ◽  
Permeability Parameter ◽  
Transient Velocity

An approximate solution to the unsteady flow of a viscous incompressible fluid through a porous medium bounded by two infinite parallel plates, the lower one stationary and the upper one oscillating in its own plane, is presented here. Expressions for the transient velocity, the amplitude, the phase angle α and the skin-friction are derived and numerically calculated. It is observed that the amplitude increases with increasing σ, the permeability parameter, and ω, the frequency. Also, there is always a phase lead, and the phase angle α decreases with increasing σ.

Sign in / Sign up

Export Citation Format

Share Document