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This study presents three design cases for planar cascade blades using an adjoint method. The cases include optimal design of entropy generation, inverse design of exit flow angle distribution, and inverse design with another target stagger distribution. The design parameters and analysis results are shown through various figures.
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Results of Planar Cascade Blades Jiaqi Luo Juntao Xiong 05/06/2008
Three Design Cases by Using an Adjoint Method Case 1 Optimal design of entropy generation with constraint cost function: where entropy generation per unit flow mass; and mass-averaged exit flow angle for whole exit the target exit flow angle; and Case 2 Inverse design of exit flow angle distribution cost function: where mass-averaged exit flow angle distribution the target exit flow angle distribution Case 3 Inverse design of exit flow angle distribution with another target stagger distribution Design parameters for the three design cases: stagger angle distribution
Case 1: Cost function and Entropy Generation Fig. 1 Cost function Fig. 2 Entropy generation
Case 1: Exit Flow Angle and Mass Flow Rate Fig. 3 Exit flow angle Fig. 4 Mass flow rate
Case 1: Stagger Angle Distribution Fig. 5 Stagger angle distribution
Case 1: Cost Function and Exit Flow Anglewithout Constraint Fig. 6 Cost function Fig. 7 Exit flow angle
Case 1: Mass Flow Rate and Stagger Angle Distributionwithout Constraint Fig. 8 Mass flow rate Fig. 9 Stagger angle distribution
Case 2: Stagger Angle and Exit Flow Angle Fig. 10 Stagger angle distribution Fig. 11 Exit flow angle distribution
Case 2: Cost Function and Mass Flow Rate Fig. 12 Cost function Fig. 13 Mass flow rate
Case 2: Stagger Angle and Exit Flow Anglewith Boundary Layer Fig. 14 Stagger angle distribution Fig. 15 Exit flow angle distribution
Case 2: Cost function and Mass Flow Ratewith boundary Layer Fig. 16 Cost function Fig. 17 Mass flow rate
Case 2: Total Pressure and Comparison of Exit Flow Angle with Boundary Layer Fig. 18 Total pressure at inlet Fig. 19 Comparison of exit flow angle
Case 3: Stagger Angle and Exit Flow Angle Fig. 20 Stagger angle distribution Fig. 21 Exit flow angle distribution
Case 3: Cost Function and Mass Flow Rate Fig. 22 Cost function Fig. 23 Mass flow rate
Case 3: Stagger Angle and Exit Flow Anglewith Boundary Layer Fig. 24 Stagger angle distribution Fig. 25 Exit flow angle distribution
Case 3: Cost function and Mass Flow Ratewith boundary Layer Fig. 26 Cost function Fig. 27 Mass flow rate
Case 3: Total Pressure and Comparison of Exit Flow Angle with Boundary Layer Fig. 28 Total pressure at inlet Fig. 29 Comparison of exit flow angle