PREDICTION OF LOW REYNOLDS-NUMBER JET-FORCED FLOW INSIDE A CIRCLE USING THE NAVIER-STOKES EQUATIONS

Alistair Borthwick, RW BARBER

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

An understanding of the jet-forced flow and mixing processes inside a service reservoir is important to water resources engineers who wish to avoid pollution problems arising from stagnation. This paper describes a two-dimensional finite-difference numerical model of the Navier-Stokes equations for low inlet Reynolds number flows in a circular reservoir with a single inlet and single outlet. The fundamental flow equations are rewritten in stream function/vorticity-transport form and applied to a distorted mesh in a polar coordinate system. Results are presented for inlet Reynolds numbers up to 200, where the inlet Reynolds number Re(I) is defined as Re(I) = U(I)epsilon-Ro/nu where U(I) = the mean inlet velocity epsilon = half the angle subtended by the inlet Ro = the radius of the cylinder nu = the fluid kinematic viscosity At Re(I) = 200, the flow is observed to become unsteady whence the main stream between inlet and outlet becomes wavy and the side shear layers begin to break down into vortices. Slow moving gyres rotate either side of the main stream. As part of the simulation, the inlet and outlet are modeled as extended stems to incorporate boundary layer effects in the inflow and outflow.

Original languageEnglish
Pages (from-to)323-343
Number of pages21
JournalInternational journal of engineering fluid mechanics
Volume3
Issue number4
Publication statusPublished - 1990

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