A numerical study on turbulent oscillatory plane Couette flow
Abstract of the thesis entitled
A Numerical Study On Turbulent Oscillatory Plane Couette Flow
for the degree of Master of Philosophy
at The University of Hong Kong
in June 2004
Steady turbulent plane Couette flow can be readily solved by assuming that the classical log-laws hold locally near the walls. In a sharp contrast, no simple analyses are available if the flow becomes unsteady, as in the case when one of the walls oscillates periodically with time in its own plane. Difficulties arise owning to the time-dependent accelerating terms in the Navier-Stokes equations. The oscillatory boundary may lead to a periodic flow reversal and therefore a detachment of the boundary layer from the wall. Therefore the classical theory of wall turbulence no longer applies to the turbulent oscillatory plane Couette flow. The problem is now handled with the computational technique known as direct numerical simulation (DNS).
In this study, turbulent structures and passive scalar transport in an oscillatory plane Couette flow at Reynolds number of 5000 are studied numerically by solving the unsteady incompressible Navier-Stokes equations directly. The oscillatory plane Couette flow consists of a working fluid
sandwiched between a lower stationary wall and an upper wall that moves with a prescribed velocity of Uw=1 + Asin(2pft), where the velocity ratio A = 0, 1/4 and 1/2. The calculation is made using a three-dimensional trilinear Galerkin finite element code. Implicit coupling between velocity and pressure is handled by a fractional-step method. The convection and diffusion terms are respectively computed by the third-order accurate Runge Kutta method and the second-order accurate Crank-Nicolson method.
In the oscillatory flow, the velocity and its components are significantly influenced under the wall-oscillation. The scalar transport, however, almost exhibits a consistency in the flows. Comparisons are also made of temperature fluctuations, correlation coefficients, shear stress and heat flux. Although there is no symmetry in the oscillatory-flow channel, most of the DNS data still agrees well with the lower part of the steady-flow channel. Finally, the flow visualization further illustrates the mechanism of high-speed fluid and hot streaky structure.
School:The University of Hong Kong
School Location:China - Hong Kong SAR
Source Type:Master's Thesis
Keywords:turbulence mathematical models fluid dynamics
Date of Publication:01/01/2004