The Effect of Spanwise System Rotation on Turbulent Poiseuille Flow at Very-Low-Reynolds Number

The flow of a viscous fluid due to symmetric peristaltic waves propagating on the horizontal sidewalls of a rectangular duct is studied under the assumptions of long wavelength and low Reynolds number. The effect of aspect ratio β, ratio of height to width, on the pumping characteristics is discussed in detail. The results are compared to with those corresponding to Poiseuille flow.

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Low Reynolds number fully developed two-dimensional turbulent channel flow with system rotation

Journal of Fluid Mechanics ◽

10.1017/s0022112096002303 ◽

1996 ◽

Vol 315 ◽

pp. 1-29 ◽

Cited By ~ 47

Author(s):

Koichi Nakabayashi ◽

Osami Kitoh

Keyword(s):

Reynolds Number ◽

Skin Friction ◽

Coriolis Force ◽

Low Reynolds Number ◽

Experimental Studies ◽

Velocity Profiles ◽

Friction Coefficients ◽

Number Range ◽

System Rotation ◽

Low Reynolds

Theoretical and experimental studies have been performed on fully developed twodimensional turbulent channel flows in the low Reynolds number range that are subjected to system rotation. The turbulence is affected by the Coriolis force and the low Reynolds number simultaneously. Using dimensional analysis, the relevant parameters of this flow are found to be Reynolds number Re* = u*D/v (u* is the friction velocity, D the channel half-width) and Ωv/u2* (Ω is the angular velocity of the channel) for the inner region, and Re* and ΩD/u* for the core region. Employing these parameters, changes of skin friction coefficients and velocity profiles compared to nonrotating flow can be reasonably well understood. A Coriolis region where the Coriolis force effect predominates is shown to exist in addition to conventional regions such as viscous and buffer regions. A flow regime diagram that indicates ranges of these regions as a function of Re* and |Ω|v/u2* is given from which the overall flow structure in a rotating channel can be obtained.Experiments have been made in the range of 56 ≤ Re* ≤ 310 and -0.0057 ≤ Ωv/u2* ≤ 0.0030 (these values correspond to Re = 2UmD/v from 1700 to 10000 and rotation number R0 = 2|Ω|D/Um up to 0.055; Um is bulk mean velocity). The characteristic features of velocity profiles and the variation of skin friction coefficients are discussed in relation to the theoretical considerations.

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Low Reynolds number stability of MHD plane Poiseuille flow of an Oldroyd fluid

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/s0161171200002040 ◽

2000 ◽

Vol 23 (9) ◽

pp. 617-625 ◽

Cited By ~ 4

Author(s):

R. N. Ray ◽

A. Samad ◽

T. K. Chaudhury

Keyword(s):

Magnetic Field ◽

Reynolds Number ◽

Poiseuille Flow ◽

Low Reynolds Number ◽

Transverse Magnetic ◽

Plane Poiseuille Flow ◽

Oldroyd Fluid ◽

Viscoelastic Parameters ◽

Low Reynolds ◽

Sommerfeld Equation

The linear stability of plane Poiseuille flow at low Reynolds number of a conducting Oldroyd fluid in the presence of a transverse magnetic field has been investigated numerically. Spectral tau method with expansions in Chebyshev polynomials is used to solve the Orr-Sommerfeld equation. It is found that viscoelastic parameters have destabilizing effect and magnetic field has a stabilizing effect in the field of flow. But no instabilities are found.

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