Unsteady viscous flow over a wavy wall

1971 ◽  
Vol 50 (1) ◽  
pp. 33-48 ◽  
Author(s):  
W. H. Lyne
Keyword(s):  
Viscous Flow ◽  
Layer Thickness ◽  
Conformal Transformation ◽  
Wavy Wall ◽  
Steady Streaming ◽  
First Order ◽  
Stokes Layer ◽  
Plane Parallel ◽  
Parallel Flows ◽  
Unsteady Viscous Flow

The method of conformal transformation is used to investigate the steady streaming generated by an oscillatory viscous flow over a wavy wall. By assuming that the amplitude of the wall is much smaller than the Stokes layer thickness, the equations are linearized and solved for large and small values of the parameter kR. This parameter is the ratio of the amplitude of oscillation of a fluid particle to the wavelength of the wall. When kR [Lt ] 1, the results due to Schlichting (1932) are recovered, and when kR [Gt ] 1 the equations resemble closely those derived in the theory of stability of plane parallel flows. With the aid of this theory the first-order steady streaming is found.

Unsteady viscous flow in a pipe of slowly varying cross-section

1974 ◽  
Vol 64 (2) ◽  
pp. 209-226 ◽  
Author(s):  
P. Hall
Keyword(s):  
Viscous Flow ◽  
Cross Section ◽  
Pressure Difference ◽  
Pipe Wall ◽  
Oscillatory Motion ◽  
Steady Streaming ◽  
First Order ◽  
Order Of Magnitude ◽  
Unsteady Viscous Flow ◽  
Oscillatory Pressure

The steady streaming generated in a pipe of slowly varying cross-section when a purely oscillatory pressure difference is maintained between its ends is considered. It is assumed that the perturbation of the pipe wall in the r, θ plane is small compared with the characteristic thickness of the Stokes layer associated with the oscillatory motion of the fluid. The first-order steady streaming is evaluated for the cases when this characteristic thickness is large and small compared with a typical radius of the pipe. In both these limits it is found that the geometry of the pipe is crucial in determining the nature of the induced steady streaming. If the ends of the pipe have the same mean radius it is found that the steady streaming consists of regions of recirculation between the nodes of the pipe. Otherwise the steady streaming is of a larger order of magnitude and has a component which represents a net flow towards the wider end of the pipe.

Reduced-Order Modeling of Unsteady Viscous Flow in a Compressor Cascade

AIAA Journal ◽  
10.2514/2.477 ◽  
1998 ◽  
Vol 36 (6) ◽  
pp. 1039-1048 ◽  
Author(s):  
Razvan Florea ◽  
Kenneth C. Hall ◽  
Paul G. A. Cizmas
Keyword(s):  
Viscous Flow ◽  
Reduced Order Modeling ◽  
Compressor Cascade ◽  
Reduced Order ◽  
Unsteady Viscous Flow

URANS Studies of Effect of Eccentricity on Ship–Lock Interactions

2016 ◽  
Vol 13 (04) ◽  
pp. 1641012
Author(s):  
Qingjie Meng ◽  
Decheng Wan
Keyword(s):  
Viscous Flow ◽  
Hydrodynamic Interaction ◽  
Vertical Displacement ◽  
Navier Stokes ◽  
Test Case ◽  
The Third ◽  
Surface Pressure Distribution ◽  
Sst Turbulence Model ◽  
Unsteady Viscous Flow ◽  
Ship Lock

The unsteady viscous flow around a 12000TEU ship model entering the Third Set of Panama Locks with different eccentricity is simulated by solving the unsteady Reynolds averaged Navier–Stokes (RANS) equations in combination with the [Formula: see text]SST turbulence model. Overset grid technology is utilized to maintain grid orthogonality and the effects of the free surface are taken into account. The hydrodynamic forces, vertical displacement as well as surface pressure distribution are predicted and analyzed. First, a benchmark test case is designed to validate the capability of the present methods in the prediction of the viscous flow around the ship when maneuvering into the lock. The accumulation of water in front of the ship during entry into a lock is noticed. A set of systematic computations with different eccentricity are then carried out to examine the effect of eccentricity on the ship–lock hydrodynamic interaction.

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