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Critical Reynolds Number for Nonlinear Flow Through Rough-Walled Fractures: The Role of Shear Processes [PDF]

Water Resources Research, 2014
This paper experimentally investigates the role of shear processes on the variation of critical Reynolds number and nonlinear flow through rough-walled rock fractures.
Mostafa Sharifzadeh, Kourosh Shahriar, Morteza Javadi   +2 more
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Critical Reynolds number of the Orr-Sommerfeld equation

The Physics of Fluids, 1973
Using the straightforward Runge-Kutta procedure, the critical Reynolds number for the Orr-Sommerfeld equation has been obtained. The number is 2772.225. The corresponding wavenumber is 1.0205. These values also substantiate the accuracy of the Chebyshev polynomial expansion carried out by Orszag.
Chock, D. P., Schechter, R. S.
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Nonlinear critical Reynolds number of a stratified plane Poiseuille flow

Physics of Fluids, 1996
The minimum Reynolds number, ReNc, below which all the two-dimensional and monochromatic wave disturbances decay, is studied numerically for a thermally stratified plane Poiseuille flow. The ReNc is found to be sensitive to the change of Prandtl number P.
Li, H.-S., Fujimura, K.
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Critical Reynolds Number for a Natural Transition to Turbulence in Pipe Flows

Physical Review Letters, 2007
Experimental results obtained over more than a century have shown that laminar flow in a circular pipe becomes naturally turbulent at a critical Reynolds number of Re approximately 2000. In this Letter a theoretical explanation, based on the minimum energy of an axisymmetric deviation (from the developed pipe flow profile), is suggested for this ...
Guy, Ben-Dov, Jacob, Cohen
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On critical reynolds numbers in plane channels with a sudden expansion at the entry

Computational Mathematics and Mathematical Physics, 2010
Summary: A method for the numerical solution of fluid dynamics equations is proposed. The evolution of the structure of the laminar flow with increasing Reynolds number and its behavior at the critical Reynolds number \(Re_{cr}\) is analyzed. Various flow modes at \(Re = Re_{cr}\) are discussed.
Karskanov, S. A., Lipanov, A. M.
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Critical reynolds numbers for flows containing particles

Zeitschrift für angewandte Mathematik und Physik ZAMP, 1968
Die Bedingungen, unter denen in der Stromung vorhandene Teilchen die kritische Reynoldszahl beeinflussen, wurden untersucht. Die Teilchen werden in laminarer Stromung instabil, wenn der vertikale Geschwindigkeitsgradient eine bestimmte Relation zum Teilchenradius bekommt.
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The Critical Reynolds Number for the Flow past a Sphere

Journal of the Physical Society of Japan, 1955
The stability of the flow past a sphere which has been calculated previously by use of the Galerkin method was investigated by the method of small perturbation and the Galerkin method. Thus, the ciritical Reynolds number for the flow past a sphere was determined as 51 which should be compared with the experimental value of about 100.
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Characteristics of high Reynolds number flow in a critical nozzle

International Journal of Hydrogen Energy, 2013
Abstract A critical nozzle has been used to measure a mass flow rate of gas. It is well known that the coefficient of discharge of the flow in a critical nozzle is a single function of Reynolds number. The purpose of the present study is to investigate the effect of equation of state (EOS) on the coefficient of discharge and thermodynamics properties
Junji Nagao, Shigeru Matsuo, Shotaro Suetsugu, Toshiaki Setoguchi, Heuy Dong Kim   +4 more
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Critical reynolds number for a spherical particle in plane couette flow

Zeitschrift für angewandte Mathematik und Physik ZAMP, 1970
Es wird die Bewegung eines kleinen spharischen Teilchens in einer Couette-Stromung untersucht. Wenn die Reynolds-Zahl grosser ist als ein kritischer Wert, so wird die Teilchen-Bewegung in laminarer Stromung instabil und verursacht Turbulenz; unterhalb des kritischen Wertes bleibt die Stromung laminar.
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The critical Reynolds number for rough-wall boundary layers

Journal of Wind Engineering and Industrial Aerodynamics, 2002
Rough-wall boundary layers become aerodynamically smooth if the ‘roughness Reynolds number’ Re*=u*z0/? becomes sufficiently small. Conventional wisdom is that Re* should exceed at least two and perhaps be as much as five before viscous effects are insignificant.
Snyder, William, Castro, Ian P.
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