scholarly journals Magnetohydrodynamics effect on three-dimensional viscous incompressible flow between two horizontal parallel porous plates and heat transfer with periodic injection/suction

2004 ◽  
Vol 2004 (62) ◽  
pp. 3357-3368 ◽  
Author(s):  
Pawan Kumar Sharma ◽  
R. C. Chaudhary
Keyword(s):  
Heat Transfer ◽  
Incompressible Flow ◽  
Hartmann Number ◽  
Three Dimensional ◽  
Approximate Solutions ◽  
Uniform Motion ◽  
Flat Plates ◽  
Suction Velocity ◽  
Viscous Incompressible Flow ◽  
Stationary Plate

We investigate the hydromagnetic effect on viscous incompressible flow between two horizontal parallel porous flat plates with transverse sinusoidal injection of the fluid at the stationary plate and its corresponding removal by periodic suction through the plate in uniform motion. The flow becomes three dimensional due to this injection/suction velocity. Approximate solutions are obtained for the flow field, the pressure, the skin-friction, the temperature field, and the rate of heat transfer. The dependence of solution onM(Hartmann number) andλ(injection/suction) is investigated by the graphs and tables.

Three-dimensional Flow between Two Parallel Porous Plates with Heat Transfer

2001 ◽  
Vol 56 (8) ◽  
pp. 596-600
Author(s):  
K. D. Singh ◽  
Rakesh Sharma
Keyword(s):  
Heat Transfer ◽  
Constant Velocity ◽  
Series Solution ◽  
Viscous Incompressible Fluid ◽  
Three Dimensional ◽  
Three Dimensional Flow ◽  
Suction Velocity ◽  
Dimensional Flow ◽  
Linear Partial Differential Equations ◽  
Stationary Plate

Abstract A theoretical analysis of the steady three-dimensional flow of a viscous, incompressible fluid between two parallel infinite porous horizontal plates is presented. The fluid is injected with constant velocity through the lower stationary plate and removed with a transverse sinusoidal suction velocity through the upper one in uniform horizontal motion. A series solution of the non-linear partial differential equations is obtained and discussed.

Performance of combined spectral collocation method and artificial compressibility method for 3D incompressible fluid flow and heat transfer

2020 ◽  
Vol 30 (12) ◽  
pp. 5037-5062
Author(s):  
Jing-Kui Zhang ◽  
Miao Cui ◽  
Ben-Wen Li ◽  
Ya-Song Sun
Keyword(s):  
Heat Transfer ◽  
Fluid Flow ◽  
Incompressible Flow ◽  
Three Dimensional ◽  
Function Form ◽  
Combined Method ◽  
Time Step ◽  
Content Type ◽  
Artificial Compressibility ◽  
Flow And Heat Transfer

Purpose The purpose of this paper is to develop a combined method for three-dimensional incompressible flow and heat transfer by the spectral collocation method (SCM) and the artificial compressibility method (ACM), and further to study the performance of the combined method SCM-ACM for three-dimensional incompressible flow and heat transfer. Design/methodology/approach The partial differentials in space are discretized by the SCM with Chebyshev polynomial and Chebyshev–Gauss–Lobbatto collocation points. The unsteady artificial compressibility equations are solved to obtain the steady results by the ACM. Three-dimensional exact solutions with trigonometric function form and exponential function form are constructed to test the accuracy of the combined method. Findings The SCM-ACM is developed successfully for three-dimensional incompressible flow and heat transfer with high accuracy that the minimum value of variance can reach. The accuracy increases exponentially along with time marching steps. The accuracy is also improved exponentially with the increasing of nodes before stable accuracy is achieved, while it keeps stably with the increasing of the time step. The central processing unit time increases exponentially with the increasing of nodes and decreasing of the time step. Research limitations/implications It is difficult for the implementation of the implicit scheme by the developed SCM-ACM. The SCM-ACM can be used for solving unsteady impressible fluid flow and heat transfer. Practical implications The SCM-ACM is applied for two classic cases of lid-driven cavity flow and natural convection in cubic cavities. The present results show good agreement with the published results with much fewer nodes. Originality/value The combined method SCM-ACM is developed, firstly, for solving three-dimensional incompressible fluid flow and heat transfer by the SCM and ACM. The performance of SCM-ACM is investigated. This combined method provides a new choice for solving three-dimensional fluid flow and heat transfer with high accuracy.

scholarly journals Magnetohydrodynamic Three-Dimensional Couette Flow of a Maxwell Fluid with Periodic Injection/Suction

2017 ◽  
Vol 2017 ◽  
pp. 1-19 ◽  
Author(s):  
Y. Ali ◽  
M. A. Rana ◽  
M. Shoaib
Keyword(s):  
Skin Friction ◽  
Couette Flow ◽  
Hartmann Number ◽  
Flow Direction ◽  
Three Dimensional ◽  
Maxwell Fluid ◽  
Approximate Solutions ◽  
Deborah Number ◽  
Main Flow ◽  
Main Flow Direction

A mathematical model for magnetohydrodynamic (MHD) three-dimensional Couette flow of an incompressible Maxwell fluid is developed and analyzed theoretically. The application of transverse sinusoidal injection at the lower stationary plate and its equivalent removal by suction through the uniformly moving upper plate lead to three-dimensional flow. Approximate solutions for velocity field, pressure, and skin friction are obtained. The effects of flow parameters such as Hartmann number, Reynolds number, suction/injection parameter, and the Deborah number on velocity components, skin friction factors along main flow direction and transverse direction, and pressure through parallel porous plates are discussed graphically. It is noted that Hartmann number provides a mechanism to control the skin friction component along the main flow direction.

The Compressible Flow Through Cascade Actuator Discs

1958 ◽  
Vol 9 (2) ◽  
pp. 110-130 ◽  
Author(s):  
J. H. Horlock
Keyword(s):  
Shear Flow ◽  
Compressible Flow ◽  
Incompressible Flow ◽  
Three Dimensional ◽  
Approximate Solutions ◽  
Two Dimensional ◽  
Guide Vanes ◽  
The Past ◽  
Flow Through ◽  
Annular Cascade

SummaryA theory of the incompressible flow through two- and three-dimensional cascade actuator discs has been developed by several workers over the past ten years, and its accuracy has been confirmed in several experiments. This theory is briefly reviewed, and a parallel theory for subsonic compressible flow through actuator discs is developed. Approximate solutions for several examples are considered, including a compressible shear flow through a two-dimensional cascade, and a compressible flow through an annular cascade of guide vanes.

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