Rarefied gas shear flow between two movable segments of parallel plates

1995 ◽  
Vol 30 (3) ◽  
pp. 462-466 ◽  
Author(s):  
E. M. Shakhov
Keyword(s):  
Shear Flow ◽  
Rarefied Gas ◽  
Parallel Plates

A new roll-type instability in an oscillating fluid plane

1994 ◽  
Vol 268 ◽  
pp. 293-313 ◽  
Author(s):  
Edward W. Bolton ◽  
J. Maurer
Keyword(s):  
Shear Flow ◽  
Stokes Equation ◽  
Maximum Amplitude ◽  
Transition To Turbulence ◽  
Navier Stokes ◽  
Secondary Wave ◽  
Initial Increase ◽  
Parallel Plates ◽  
Navier Stokes Equation ◽  
Roll Type

A new roll-type instability has been discovered experimentally. When fluid between two closely spaced, parallel plates is oscillated about an axis midway between the plates, it exhibits an instability that takes the form of longitudinal rolls aligned perpendicular to the axis of rotation. The basic-state oscillatory shear flow, before the onset of rolls, may be viewed as driven by the $\dot{\bm \Omega}\times \hat{\bm r}$ term of the Navier–Stokes equation in the oscillatory reference frame. A regime diagram is presented in a parameter space defined by the maximum amplitude of angular oscillation, α, and the non-dimensional frequency, Φ = ωd2/ν. The equilibrium wavelength of the rolls scales with d, the gap spacing between the plates, and it increases as Φ increases. Supercritical to a weak-roll onset, an abrupt transition to stronger roll amplitude occurs. Photographs of the cell after an impulsive start show the roll development and initial increase in roll wavelength. A variety of phenomena are observed, including wavelength selection via defect creation and elimination, front propagation, secondary wave instabilities, and the transition to turbulence. We also present solutions of the Navier–Stokes equation for the basic-state shear flow in a near-axis approximation. We develop a simple resonance model which shows some promise in understanding the low-α, high-Φ behaviour of strong rolls. A theoretical analysis of this instability is presented by Hall (1994).

Forces on a rotating particle in a shear flow of a highly rarefied gas

2008 ◽  
Vol 20 (10) ◽  
pp. 107102 ◽  
Author(s):  
Nan Liu ◽  
David B. Bogy
Keyword(s):  
Shear Flow ◽  
Rarefied Gas

Beyond-equilibrium molecular dynamics of a rarefied gas subjected to shear flow

2004 ◽  
Vol 120 (1-3) ◽  
pp. 175-187 ◽  
Author(s):  
Martin Kröger ◽  
Hans Christian Öttinger
Keyword(s):  
Molecular Dynamics ◽  
Shear Flow ◽  
Rarefied Gas

Poiseuille Flow and Thermal Transpiration of a Rarefied Gas Between Parallel Plates: Effect of Nonuniform Surface Properties of the Plates in the Transverse Direction

2015 ◽  
Vol 137 (10) ◽  
Author(s):  
Toshiyuki Doi
Keyword(s):  
Distribution Function ◽  
Flow Rate ◽  
Poiseuille Flow ◽  
Transverse Direction ◽  
Rarefied Gas ◽  
Mean Free Path ◽  
Accommodation Coefficient ◽  
Parallel Plates ◽  
Nonuniform Surface ◽  
The Mean

Poiseuille flow and thermal transpiration of a rarefied gas between parallel plates with nonuniform surface properties in the transverse direction are studied based on kinetic theory. We considered a simplified model in which one wall is a diffuse reflection boundary and the other wall is a Maxwell-type boundary on which the accommodation coefficient varies periodically and smoothly in the transverse direction. The spatially two-dimensional (2D) problem in the cross section is studied numerically based on the linearized Bhatnagar–Gross–Krook–Welander (BGKW) model of the Boltzmann equation. The flow behavior, i.e., the macroscopic flow velocity and the mass flow rate of the gas as well as the velocity distribution function, is studied over a wide range of the mean free path of the gas and the parameters of the distribution of the accommodation coefficient. The mass flow rate of the gas is approximated by a simple formula consisting of the data of the spatially one-dimensional (1D) problems. When the mean free path is large, the distribution function assumes a wavy variation in the molecular velocity space due to the effect of a nonuniform surface property of the plate.

Heat Transport Between Parallel Plates in a Rarefied Gas of Rigid Sphere Molecules

1965 ◽  
Vol 8 (2) ◽  
pp. 245 ◽  
Author(s):  
K. Frankowski ◽  
Z. Alterman ◽  
C. L. Pekeris
Keyword(s):  
Heat Transport ◽  
Rarefied Gas ◽  
Rigid Sphere ◽  
Parallel Plates

Heat transfer between infinite parallel plates in a rarefied gas

1972 ◽  
Vol 7 (1) ◽  
pp. 77-80 ◽  
Author(s):  
A. M. Bishaev ◽  
V. A. Rykov
Keyword(s):  
Heat Transfer ◽  
Rarefied Gas ◽  
Parallel Plates
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