Unsteady Numerical Simulations of the Flow Related to the Unstable Energy-Discharge Characteristic of a Medium Specific Speed Double Suction Pump
Regions of positive slope in the pressure-discharge characteristics can result in a reduction or even lack of damping of system instabilities. They are therefore one of the major concerns in design and operation of centrifugal pumps as they are limiting the admissible operating range. The considered preliminary hydraulic design of an industrial double suction pump of medium specific speed n = 0.410 (0.205 per impeller side) shows a marked saddle in the energydischarge characteristic associated to a sudden drop of efficiency versus discharge at part load. Unsteady RANS type flow simulations are performed using hexahedral meshes with 2.5 million nodes to model the inlet casing, the shrouded double sided impeller with 2 x 7 blades, the diffuser with 12 blades and the volute. In unsteady solution monitoring, low frequency (below blade passing frequencies) phenomena are noticed. Therefore, simulation times of up to 10 impeller revolutions at each flow rate are requested to achieve statistically steady behavior of the flow judged on global performance numbers and circumferential flow rate distribution. The numerical simulations emphasize a drop in the characteristic, though at a lower flow rate than found on the test rig. It is shown to be associated to a one-sided separation in the diffuser, further leading to an unbalanced flow rate distribution of about 10% of flow rate between both sides of the impeller. There is a region of hysteresis, where both configurations with balanced and unbalanced flow rate distributions can be obtained for the same global flow rate. The asymmetric flow distribution leads to asymmetric velocity profiles at the impeller-diffuser interface which results in a strongly vortical flow in the diffuser channels, where an important amount of energy is dissipated in regions of increased viscous and turbulent shear.
NUMERICAL ANALYSIS OF FLOW PHENOMENA RELATED TO THE UNSTABLE ENERGY-DISCHARGE CHARACTERISTIC OF A PUMP-TURBINE IN PUMP MODE
Regions of positive slope in the pressure-discharge characteristics are one of the major concerns in design and operation of centrifugal pumps, as they are limiting the admissible operating range to values above the critical discharge. The industrial pump turbine of specific speed ν=0.42 (nq=66 min-1) proposed as QNET-CFD test case TA6-04 shows a marked saddle in the energy-discharge characteristic associated to a sudden drop of efficiency versus discharge at part load. The pump-turbine consists of a shrouded impeller with five blades, a diffuser with 22 guide and stay vanes and a spiral casing. CFD flow simulations on a reduced model were carried out with a finite volume Navier-Stokes code (CFX-5.7) using block- tructured hexahedral meshes and the Menter-SST Turbulence model. Control of numerical quality has been performed. Reduced models with relatively low computational effort (mixing plane interface) already permit to capture the drop in efficiency and energy coefficient to analyze the flow phenomena inducing the drop of the energy coefficient Ψ that occurs at partial discharge. Analysis of local flow patterns and energy and velocity distributions at the rotor-stator interface that are related to the onset of recirculation are presented.
Pressure Drop Measurements of the Flow through Eccentric Cylinders with Rotating Inner Cylinders
We previously investigated the pressure drop in an annulus with a rotating inner cylinder under fully developed conditions and reported that there is a noticeable increase in axial resistance associated with the onset of Taylor vortices for laminar flow of axial-flow Reynolds number above 100. On the other hand, in the case with no axial flow, it has been reported that the flow between eccentric cylinders with a rotating inner cylinder is more stable to the disturbance of Taylor vortex type than the flow between concentric cylinders. However there is no investigation of axial resistance connected with the development of Taylor vortices in the flow between eccentric rotating cylinders with axial flow. We measured the pressure drop in the eccentric annulus with a rotating inner cylinder under fully developed conditions, using water and glycerine-water solutions. And in this paper the relation between pressure drop and a few parameters, such as rotating Reynolds number, axial-flow Reynolds number, eccentricity ratio and clearance ratio, is investigated experimentally in connection with the development of Taylor vortices.