Two- and three-dimensional elliptic flows

Thesis/Dissertation · Thu Jan 01 04:00:00 EST 1987

OSTI ID:6948936

Wei, S S

Two- and three-dimensional incompressible flows are numerically studied. The equations governing the flow and heat transfer are fully elliptic and characterized by the presence of diffusion in all directions. Time-averaged Reynolds equations along with a k-epsilon turbulence model are used to simulate flow turbulence. A boundary-fitted coordinate system is employed to account for the irregularity of flow domains, and the curvilinear coordinates are numerically generated by two Poisson equations, in which the inhomogeneous terms are used to control the concentration of nodal points. In the study of two-dimensional channel flows, it is found that the friction factor and the Nusselt number along the bottom of the flow cavity approach zero, and significantly increase at the neighborhood of reattachment points. It is also revealed that the generation of turbulence is enhanced by the existence of flow separation. In the analysis of three-dimensional flows, it is shown that the vorticity-velocity formulation of the first-order upwind scheme and the third-order-accuracy on the vorticity boundaries,together with the modified strongly implicit iteration method provides stable and accurate results.

• Research Organization: Delaware Univ., Newark (USA)
• OSTI ID: 6948936
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
COORDINATES
CURVILINEAR COORDINATES
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
INCOMPRESSIBLE FLOW
MATHEMATICS
NUMERICAL ANALYSIS
NUSSELT NUMBER
PARTIAL DIFFERENTIAL EQUATIONS
POISSON EQUATION
SIMULATION
THREE-DIMENSIONAL CALCULATIONS
TURBULENT FLOW
TWO-DIMENSIONAL CALCULATIONS
VORTEX FLOW