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13 FIGURE β4-8: EXPANSION MACHINES AS FUNCTIONS OF ππ AND π·π [196]. ................................................ 94 FIGURE β4-9: TURBOMACHINES AS FUNCTIONS OF ππ [197]. ..................................................................... 94 FIGURE β4-10: RADIAL TURBINE PERFORMANCE VERSUSππ [199].............................................................. 94 FIGURE β4-11: PERFORMANCE OF RADIAL TURBINE VERSUS FLOW COEFFICIENT [235]. ........................... 96 FIGURE β4-12: PERFORMANCE OF RADIAL TURBINE VERSUS Ξ¦ AND Ρ° [232]. ........................................... 96 FIGURE β4-13:LOCATION OF THE CURRENT EXPANSION MACHINE BASED ON AIR TURBINE CORRELATIONS [197][232][196]. ................................................................................................................................. 99 FIGURE β4-14: LOCATION OF THE CURRENT EXPANSION MACHINE BASED ON ORGANIC EXPANSION MACHINES BY THE AUTHOR (SEE SECTION β2.3.3). ........................................................................... 100 FIGURE β4-15: FLOWCHART OF THE PROPOSED METHODOLOGY............................................................. 102 FIGURE β5-1: FLOWCHART OF THE OPTIMISATION ALGORITHM .............................................................. 107 FIGURE β5-2: VELOCITY TRIANGLES OF THE ROTOR INLET(LEFT) AND ROTOR EXIT(RIGHT)...................... 110 FIGURE β5-3: FLOWCHART OF THE DESIGN POINT USING ππ CORRELATION. ........................................... 114 FIGURE β5-4: FLOWCHART OF THE DESIGN POINT USING FLOW AND LOADING COEFFICIENTS CORRELATION. ................................................................................................................................. 122 FIGURE β5-5: (A) SHAPE OF RADIAL AND NON-RADIAL BLADES AND (B) EFFECCT OF NON-ZERO BLADE ANGLE π½πππππ, 4 ON THE EFFICIENCY OF THE TURBINE. ................................................................ 127 FIGURE β5-6: EFFECT OF FLOW COEFFICIENT π ON THE INVESTIGATED PARAMETERS. ........................... 129 FIGURE β5-7: EFFECT OF LOADING COEFFICIENT πΉON THE INVESTIGATED PARAMETERS. ...................... 130 FIGURE β5-8: EFFECT OF ROTATIONAL SPEEDπON THE INVESTIGATED PARAMETERS............................. 131 FIGURE β5-9: EFFECT OF MASS FLOW RATEππΉπ ON THE INVESTIGATED PARAMETERS. ......................... 132 FIGURE β5-10: EFFECT OF SPECIFIC SPEED ππ ON THE INVESTIGATED PARAMETERS. ............................. 134 FIGURE β5-11: SUMMARY OF EFFECTS OF THE INPUT CONDITIONS ON THE INVESTIGATED PARAMETERS. .......................................................................................................................................................... 135 FIGURE β5-12: RESULTS OF THE OC USING DIFFERENT OBJECTIVE FUNCTIONS. ...................................... 136 FIGURE β5-13: CONTRIBUTIONS OF THE ROTOR ENTHALPY LOSSES ON THE PERFORMANCE OF THE TURBINE. .......................................................................................................................................... 137 FIGURE β5-14: FLOWCHART OF THE OFF-DESIGN METHODOLGY. ............................................................ 144 FIGURE β5-15: EFFECT OF STATOR DEVIATION ANGLE ON TURBINE ππ‘π AND MFR. .................................. 152 FIGURE β5-16: EFFECTS OF ROTOR DEVIATION ANGLE ON TURBINE ππ‘π AND MFR. ................................. 153 FIGURE β5-17: EFFECTS OF STATOR BLOCKAGE FACTOR ON TURBINE ππ‘π AND MFR................................ 153 FIGURE β5-18: EFFECTS OF ROTOR BLOCKAGE FACTOR ON TURBINE ππ‘π AND MFR. ................................ 154 FIGURE β5-19: EFFECTS OF ROTOR INCIDENCE ANGLE ON TURBINE ππ‘π AND MFR................................... 155 FIGURE β5-20: ππ‘π COMPARISON BETWEEN MOC AND CFD RESULTS. ..................................................... 156 FIGURE β5-21: DEVIATION IN ππ‘π BETWEEN MOC AND CFD. .................................................................... 156PDF Image | Automotive Radial Turbine Expander Design WHR
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