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Numerical simulation of steady and unsteady cavitating flows inside water-jetsChang, Shu-Hao 03 October 2012 (has links)
A numerical panel method based on the potential flow theory has been refined and
applied to the simulations of steady and unsteady cavitating flows inside water-jet pumps.
The potential flow inside the water-jet is solved simultaneously in order to take the
interaction of all geometries (blades, hub and casing) into account. The integral equation
and boundary conditions for the water-jet problem are formulated and solved by
distributing constant dipoles and sources on blades, hub and shroud surfaces, and
constant dipoles in the trailing wake sheets behind the rotor (or stator) blades. The
interaction between the rotor and stator is carried out based on an iterative procedure by
considering the circumferentially averaged velocities induced on each one by the other.
The present numerical scheme is coupled with a 2-D axisymmetric version of the
Reynolds Averaged Navier-Stokes (RANS) solver to evaluate the pressure rise on the
shroud and simulate viscous flow fields inside the pump.
A tip gap model based on a 2-D orifice equation derived from Bernoulli’s obstruction
theory is implemented in the present method to analyze the clearance effect between the
blade tip and the shroud inner wall in a global sense. The reduction of the flow from
losses in the orifice can be defined in terms of an empirically determined discharge
coefficient (CQ) representing the relationship between the flow rate and the pressure
difference across the gap because of the viscous effect in the tip gap region.
The simulations of the rotor/stator interaction, the prediction of partial and super
cavitation on the rotor blade and their effects on the hydrodynamic performance
including the thrust/torque breakdown of a water-jet pump are presented. The predicted
results, including the power coefficient (P*), head coefficient (H*), pump efficiency (η),
thrust and torque coefficients (KT and KQ), as well as the cavity patterns are compared
and validated against the experimental data from a series of on the ONR AxWJ-2 pump
at NSWCCD. / text
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