3-D Inviscid Analysis of Radial Turbine Flow

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3-D Inviscid Analysis of Radial Turbine Flow ( 3-d-inviscid-analysis-radial-turbine-flow )

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described in reference 11 was undertaken primarily to obtain overall perform­ ance and an internal loss breakdown. rotor blading itself were obtained, but the results of rotor inlet and exit surveys reported for one operating condition are the basis for this limited comparison with the DENTON code. A rotor-inlet survey of absolute flow angle and absolute total pressure was made just upstream of the rotor leading edge (station 3 of ref. 11). surveys were made over 2 stator vane passages and at 11 axial positions from No detailed flow measurements within the The, hub to shroud. For each axial position, data were taken at 11 circumferential positions and arithmetically averaged. rotor-inlet flow angles and the mass-averaged absolute flow angle of 73.60 from the experiment. The flow angles at the hub and shroud walls shown inthe distribution are those required to match continuity. Similarly, a rotor-exit survey was taken about 2.B cm downstream of the rotor trailing edge (station 4 of ref. 11). These data were taken at 11 radial locations, all at one circumferential position. The radial distribution of absolute flow angle and total pressure ratio, measured at this location, are presented infigure 3. A summary of the overall rotor conditions is given in table I. Even though mass flow is not an input to the DENTON code, it is given for comparison purposes later. The experimental conditions-used as inputs to the inviscid code were for-corrected design speed, temperature, and pressure ratio. The rotor-inlet total pressure reflects the 6.3-percent measured loss due to the stator and vaneless space. INVISCID COMPUTATION The three-dimensional inviscid DENTON code was used to analyze the radial rotor. The stator was not included inthis analysis. The code, developed by Denton, uses an explicit time marching method for turbomachinery flow calcula­ tion. The code solves the Euler equations infinite-volume form using an opposed-difference scheme inwhich changes inthe fluxes of mass, momentum, and energy move downwind and pressure moves upwind. A two-level multigrid feature of the code was used to reduce computation time, and variable time steps were also used to reduce computation time while maintaining stability. The computational mesh for two blade-to-blade surfaces and on the merldi­ onal plane are shown in figures 4 and 5, respectively. The number of grid lines used are 13 in the blade-to-blade direction (I = 1 on the suction sur­ face, I = 13 on the pressure surface), 73 in the stream-wise direction (3 = I at upstream boundary, 3 = 73 at downstream boundary), and 21 in the hub-to­ shrouddirection(K=1onthehubsurfaceandK=21onthetip). Asindi­ cated in figure 5, the leading edge is at 3 = 12, the trailing edge at 3 = 60, station3ataboutJ=9,andstation4at3= 73. Nonuniformgridspacing was used inall three directions. was used to get higher resolutions near the leading and trailing edges. addition, this feature was used to'position the initial upstream grid at any desired location with a selected number of othogonal grid lines, and to posi­ tion the final downstream grid where the experimental data were measured so that the Denton outputs could be directly compared with the experimental results at station 4. Figure 2 shows the distribution of The packing of quasi-othogonal mesh lines In 3

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