scholarly journals Solution structure, stability and transitions of non-isothermal flow through a curved rectangular duct

2009 ◽  
Vol 2 (8) ◽  
pp. 35-42
Author(s):  
R. N. Mondal
2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Mekonnen Shiferaw Ayano ◽  
Stephen T. Sikwila ◽  
Stanford Shateyi

Mixed convection flow through a rectangular duct with at least one of the sides of the walls of the rectangle being isothermal under the influence of transversely applied magnetic field has been analyzed numerically in this study. The governing differential equations of the problem have been transformed into a system of nondimensional differential equations and then solved numerically. The dimensionless velocity, microrotation components, and temperature profiles are displayed graphically showing the effects of various values of the parameters present in the problem. The results showed that the flow field is notably influenced by the considered parameters. It is found that increasing the aspect ratio increases flow reversal, commencement of the flow reversal is observed after some critical value, and the applied magnetic field increases the flow reversal in addition to flow retardation. The microrotation components flow in opposite direction; also it is found that one component of the microrotation will show no rotational effect around the center of the duct.


1989 ◽  
Vol 12 (1) ◽  
pp. 159-174
Author(s):  
B. D. Aggarwala ◽  
P. D. Ariel

In this paper, we investigate the flow of a viscous, Incompressible, electrically conducting fluid through a rectangular duct in the presence of a magnetic field, when one of the boundaries perpedicular to the magnetic field is partly conducting and partly Insulating, by a modified Boundary Integral Method.Three problems are considered (i) flow through an infinite channel, (ii) flow through a rectangular duct when the conducting part is symmetrically situated, and (iii) flow through a rectangular duct when the conducting part is arbltrarily positioned.Such problems have been studied before by asymptotic means for large values of M, the Hartmann number. Hoverer, the present modification of the Boundary Integral Method renders the problem computationally efficient and provides a reliable numerical solution for all values of M. For large M, our coputation time decreases significantly.


2007 ◽  
Vol 7 (13) ◽  
pp. 1709-1717
Author(s):  
R.N. Mondal ◽  
D. Tarafder ◽  
M.A. Huda ◽  
M. Samsuzzoha ◽  
M. Sharif Udd

1988 ◽  
Vol 54 (504) ◽  
pp. 2002-2009
Author(s):  
Hideomi FUJITA ◽  
Masafumi HlROTA ◽  
Hajime YOKOSAWA ◽  
Masao HASEGAWA

2011 ◽  
Vol 8 (3-4) ◽  
pp. 295-308 ◽  
Author(s):  
Kh. S. Mekheimer ◽  
S. Z.-A. Husseny ◽  
A. I. Abd el Lateef

Peristaltic transport of an incompressible viscous fluid due to an asymmetric waves propagating on the horizontal sidewalls of a rectangular duct is studied under long-wavelength and low-Reynolds number assumptions. The peristaltic wave train on the walls have different amplitudes and phase. The flow is investigated in a wave frame of reference moving with velocity of the wave. The effect of aspect ratio, phase difference, varying channel width and wave amplitudes on the pumping characteristics and trapping phenomena are discussed in detail. The results are compared to with those corresponding to Poiseuille flow.


2021 ◽  
Author(s):  
Pradeep Kunwar

A particle-based method called multi-particle collision (MPC) dynamics is considered, and the shear viscosity is calculated theoretically. As part of the particle-based mechanism, velocities of particles change due to collisions and due to an applied external force used to create flow. The system's temperature increases due to the external force, and a thermostat is used to remove this excess temperature so as to maintain constant temperature (isothermal) flow conditions. A theoretical expression for the shear viscosity is derived and compared to existing viscosity expressions. Additionally, results for MPC flow through a local constriction are assessed. The novelty of the numerical results in this Thesis come from using a local thermostat rather than a global thermostat that had been used in the past.


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