Primitive numerical simulation of circular Couette flow

Thesis/Dissertation · Fri Jan 01 04:00:00 EST 1988

OSTI ID:5236953

Hasiuk, J F

The azimuthal-invariant, 3-d cylindrical, incompressible Navier-Stokes equations are solved to steady state for a finite-length, physically realistic model. The numerical method relies on an alternating-direction implicit (ADI) scheme that is formally second-order accurate in space and first-order accurate in time. The equations are linearized and uncoupled by evaluating variable coefficients at the previous time iteration. Wall grid clustering is provided by a Roberts transformation in radial and axial directions. A vorticity-velocity formulation is found to be preferable to a vorticity-stream function approach. Subject to no-slip, Dirichlet boundary conditions, except for the inner-cylinder rotation velocity (impulsive start-up) and zero-flow initial conditions, nonturbulent solutions are obtained for sub- and supercritical Reynolds numbers of 100 to 400 for a finite geometry. An axially-stretched model solution is shown to asymptotically approach the 1-d analytic Couette solution at the cylinder midheight. Flowfield change from laminar to Taylor-vortex flow is discussed as a function of Reynolds number.

• Research Organization: Iowa State Univ. of Science and Technology, Ames, IA (USA)
• OSTI ID: 5236953
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
BOUNDARY CONDITIONS
COUETTE FLOW
CYLINDERS
DIFFERENTIAL EQUATIONS
DIRICHLET PROBLEM
EQUATIONS
FLUID FLOW
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
REYNOLDS NUMBER
THREE-DIMENSIONAL CALCULATIONS
TRANSITION FLOW
VISCOUS FLOW