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Flow through a rotating helical pipe with a wide range of the Dean number

Alam M. M., Ota M., Ferdows M., Islamv M. N., Wahiduzzaman M., Yamamoto K.

Archives of Mechanics

2007

Vol. 59, nr 6

501-517

THE INCOMPRESSIBLE viscous steady flow through a helical pipe of circular cross-section, rotating at a constant angular velocity about the center of curvature is investigated numerically to examine the combined effects of rotation (Coriolis force), torsion and curvature (centrifugal force) on the flow. The flow depends on the Taylor number Tr =…, the Dean number Dn =…- , the torsion parameter … and the dimensionless curvature of the duct …, where a is the radius of the helical pipe, HT the angular velocity, // the viscosity, v the kinematic viscosity, G the constant pressure gradient along the pipe axis and … - a parameter related to the torsion T and curvature 5, When … > 0, the rotation is in the direction in which the Coriolis force produces the curvature effect. When QT < 0, the rotation is in the direction in which the Coriolis force exhibits an opposite effect to that of curvature. The calculations are carried out for -500 < Tr < 500, 1500 < Dn < 2000 (large Dean number), 0 < (30 < 0.4 and 0 < … < 0.2. The total flux through the duct has a sharp peak at a negative Tr.

Dufour and soret effects on steady free convection and mass transfer flow past a semi-infinite vertical porous plate in a porous medium

Alam M. S., Ferdows M., Ota M., Maleque M. A.

International Journal of Applied Mechanics and Engineering

2006

Vol. 11, no 3

535-545

Steady two-dimensional free convection and mass transfer flow past a continuously moving semi-infinite vertical porous plate in a porous medium is studied theoretically, by taking into account the Dufour and Soret effects. The similarity equations of the problem considered are obtained by using usual similarity technique. The resulting equations are then solved numerically by shooting method using Runge-Kutta sixth-order integration scheme. The non-dimensional velocity, temperature and concentration profiles are displayed graphically for different values of the parameters entering into the problem. In addition, the skin-friction coefficient, the Nusselt number and Sherwood number are shown in tabular form.