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Drag reduction of a wing-body configuration via spanwise forcing Andrea Gadda, Jacopo Banchetti, Giulio Romanelli, Maurizio Quadrio Dipartimento di Scienze e Tecnologie Aerospaziali Politecnico di Milano / Jacopo Banchetti Drag reduction of


  1. Drag reduction of a wing-body configuration via spanwise forcing Andrea Gadda, Jacopo Banchetti, Giulio Romanelli, Maurizio Quadrio Dipartimento di Scienze e Tecnologie Aerospaziali Politecnico di Milano / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  2. Motivation Effectiveness of skin-friction drag reduction techniques in aeronautical applications Drag components of Transport Aircraft in Cruise: Mele et al. , J. of Aircraft, 2016 / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  3. Quadrio, Ricco & Viotti, JFM 09 Potential for large energy savings Low-Re, incompressible flows in simple geometry. [QRV09] What about an airplane? / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  4. Background (Gatti & Quadrio, JFM 16) Waves can be assimilated to drag-reducing roughness Streamwise travelling waves produce a vertical shift ∆ B of the logarithmic portion of the mean velocity profile Drag reduction rate R is linked to ∆ B ∆ B + at non-low Re becomes Reynolds independent U + = 1 κ log ( y + ) + B + ∆ B + / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  5. Case of study AIAA Second Drag Prediction Workshop (DLR-F6) DLR-F6 is a modern transport aircraft, with a transonic design Wing-body configuration RANS Spalart-Allmaras Turbulence model Fully turbulent boundary layer Re = 3 · 10 6 based on reference chord M = 0 . 75 Flight lift coefficient 0.5 / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  6. Present work Forcing is introduced by a modified wall function U + = 1 κ log ( y + ) + B + ∆ B + Coarse mesh available in Drag Prediction Workshop website Forcing applied over the entire aircraft / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  7. AeroX A GPU-CPU compressible RANS solver Finite volumes Compressible (transonic) Speedup by GPU: AMD 380X FURY X (2015) ∼ 230 USD ∼ 650 USD i7 5930k-6 4 . 3 x 8 . 7 x ∼ 600 USD In the present work: GPU: AMD 380X 2 · 10 6 elements: convergence in ∼ 45 min / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  8. Validation DLR-F6 Polar curve 0 . 8 0 . 6 CL 0 . 4 Experimental Cessna NSU3D 0 . 2 AeroX 0 . 01 0 . 02 0 . 03 0 . 04 0 . 05 CD / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  9. Drag Reduction Friction and Pressure drag decomposition / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  10. Drag Reduction Friction and Pressure drag decomposition Expected Friction drag reduces by 23 % Pressure drag is unchanged Total drag reduces by at most 14 % 30 20 10 DR % 0 Expected − 10 − 4 − 2 0 2 α [ deg ] / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  11. Drag Reduction Friction and Pressure drag decomposition Expected Actual Friction drag reduces by 23 % Pressure drag is unchanged Total drag reduces by at most 14 % 22 % 30 20 10 DR % 0 Expected − 10 Actual − 4 − 2 0 2 α [ deg ] / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  12. Drag Reduction Friction and Pressure drag decomposition Expected Actual Friction drag reduces by 23 % ∼ 23 % Pressure drag is unchanged changed Total drag reduces by at most 14 % 22 % 30 20 10 DR % 0 Friction − 10 Pressure − 4 − 2 0 2 α [ deg ] / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  13. Local Friction Reduction Upper view Local Friction Reduction close to 23 % where the configuration is clean Strong variations on the upper wing surface / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  14. Local Friction Reduction Frontal view Local Friction Reduction unexpectedly high in the front fuselage / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  15. Local Pressure Upper view Fuselage and lower wing surface unchanged Changes on upper wing surface / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  16. Local Pressure Pressure coefficient distribution Secondary effect: Shock delay 0 . 6 Reference Controlled 0 . 4 0 . 2 − CP 0 − 0 . 2 − 0 . 4 0 0 . 2 0 . 4 0 . 6 0 . 8 1 x / c / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  17. Lift Coefficient CL − α curve Secondary effect: Lift increase 1 Reference 0 . 8 Controlled 0 . 6 0 . 4 CL 0 . 2 0 − 0 . 2 − 0 . 4 − 4 − 2 0 2 α [ deg ] / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  18. Drag reduction at constant lift 30 Expected 20 DR % 10 0 0 0 . 2 0 . 4 0 . 6 0 . 8 CL / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  19. Drag reduction at constant lift Drag reduction is always higher than expected Lift increase - Stall begins at higher CL 30 Expected Actual 20 DR % 10 0 0 0 . 2 0 . 4 0 . 6 0 . 8 CL / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  20. Net power saving at constant lift Active techniques require input power Input power is estimated via known trends in channel flow / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  21. Net power saving at constant lift Active techniques require input power Input power is estimated via known trends in channel flow 30 Expected 20 S % 10 0 0 0 . 2 0 . 4 0 . 6 0 . 8 CL / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  22. Net power saving at constant lift Net power saving S higher than 10 % 30 Expected Actual 20 S % 10 0 0 0 . 2 0 . 4 0 . 6 0 . 8 CL / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  23. Comparison with MTC 2016 Despite the differences MTC16 Actual Solver UZEN / FLOWer AeroX Aircraft CRM DLR-F6 5 · 10 6 3 · 10 6 Re M 0 . 85 0 . 75 Turbulence model SST Spalart-Allmaras DR technique Riblets Spanwise forcing Forcing formulation ω at wall Wall function Same qualitative results: Direct effects: R close to the expected value Indirect effects: Shock delay - Lift increase / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  24. Doubts? Do we trust these results? Further investigations needed: Transition? Log Law? / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  25. Doubts? Do we trust these results? Further investigations needed: Transition? Log Law? "One coincidence is just a coincidence. Two coincidences are a clue. Three coincidences are a proof." (A. Christie) / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  26. Thank you for your attention Questions? / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  27. / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  28. S ( A + ) / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  29. How does S changes with forcing amplitude? S at low-Re incompressible channel flow rapidly decreases after ∼ A + = 7 25 15 5 S − 5 − 15 0 5 10 15 20 A + / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  30. How does S changes with forcing amplitude? Shock delay increase with A + 0 . 6 A + − CP 0 . 4 0 . 2 0 . 2 x / c / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  31. How does S changes with forcing amplitude? S at low-Re incompressible channel flow rapidly decreases after ∼ A + = 7 15 S 5 0 5 10 15 20 A + Actual S slightly increases until A + = 12 / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  32. ∆ LFR & −∇ p ? / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  33. Local Friction Reduction Frontal view Local Friction Reduction unexpectedly high in the front fuselage / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

  34. Local Friction Reduction Pressure gradient and Local Friction Reduction ( LFR − LFR expected ) ∝ −∇ p ? / Jacopo Banchetti Drag reduction of a wing-body configuration via spanwise forcing 25

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