An engineering approach to the calculation of aerodynamic flows with ... 11 tables

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Cebeci, Tuncer 1934- (VerfasserIn)
Format: Buch
Sprache:German
Veröffentlicht: Long Beach, Calif. [u.a.] Horizons Publ. [u.a.] 1999
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245 1 0 |a An engineering approach to the calculation of aerodynamic flows  |b with ... 11 tables  |c Tuncer Cebeci 
264 1 |a Long Beach, Calif. [u.a.]  |b Horizons Publ. [u.a.]  |c 1999 
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Datensatz im Suchindex

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adam_text CONTENTS 1. INTERACTIVE-BOUNDARY-LAYER APPROACH FOR AIRFOILS . . . . . . . . . . . 1 1.0 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.0.1 GENERAL FEATURES OF VISCOUS INTERACTIONS ON AIRFOILS . . . . . 2 1.1 MATHEMATICAL MODELS FOR THE INTERACTION PROCESS: INVISCID FLOW . 5 1.2 MATHEMATICAL MODELS FOR THE INTERACTION PROCESS: VISCOUS FLOW . 8 1.3 TRANSITION AND ITS PREDICTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2. TWO-DIMENSIONAL INCOMPRESSIBLE FLOWS: INVISCID METHOD . . . . 13 2.0 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.1 HESS-SMITH PANEL METHOD . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2.2 VISCOUS E*ECTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 2.3 FLOW*ELD CALCULATION IN THE WAKE . . . . . . . . . . . . . . . . . . . . . . . . . . 22 2.4 FORTRAN PROGRAM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 2.4.1 MAIN . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 2.4.2 SUBROUTINE COEF . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 2.4.3 SUBROUTINE OBKUTA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 2.4.4 SUBROUTINE GAUSS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 2.4.5 SUBROUTINE VPDIS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 2.4.6 SUBROUTINE CLCM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 2.4.7 SUBROUTINE VPDWK . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 3. TWO-DIMENSIONAL INCOMPRESSIBLE FLOWS: BOUNDARY-LAYER METHOD . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 3.0 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 3.1 SOME TURBULENCE MODELS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 3.1.1 K - MODEL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 3.1.2 REYNOLDS STRESS MODELS . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 X CONTENTS 3.1.3 COMMENTS ON K - AND REYNOLDS STRESS MODELS . . . . . . . . . 44 3.1.4 ZERO-EQUATION MODELS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 3.2 TRANSFORMED BOUNDARY-LAYER EQUATIONS . . . . . . . . . . . . . . . . . . . . . 48 3.2.1 TRANSFORMED EQUATIONS: STANDARD MODE . . . . . . . . . . . . . . 49 3.2.2 TRANSFORMED EQUATIONS: INVERSE MODE . . . . . . . . . . . . . . . . 50 3.2.3 TRANSFORMED EQUATIONS: GENERAL FORM . . . . . . . . . . . . . . . 51 3.3 NUMERICAL METHOD . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 3.3.1 NUMERICAL FORMULATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 3.3.2 NEWTON S METHOD . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 3.3.3 BLOCK-ELIMINATION METHOD . . . . . . . . . . . . . . . . . . . . . . . . . 56 3.3.4 BORDERING ALGORITHM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 3.4 FORTRAN PROGRAM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 3.4.1 MAIN . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 3.4.2 SUBROUTINE INPUT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 3.4.3 SUBROUTINE IVPL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 3.4.4 SUBROUTINE GROWTH . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 3.4.5 SUBROUTINE HIC . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 3.4.6 SUBROUTINE EDDY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 3.4.7 SUBROUTINE COEF . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77 3.4.8 SUBROUTINE SWTCH . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79 3.4.9 SUBROUTINE WAKEPR . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 3.4.10 SUBROUTINE INTEG . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 3.4.11 SUBROUTINE DIFF1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 3.4.12 SUBROUTINE LNTP . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 3.4.13 SUBROUTINE AMEAN . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 3.4.14 SUBROUTINE BORALG . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 3.4.15 SUBROUTINE OUTPUT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 4. TWO-DIMENSIONAL INCOMPRESSIBLE FLOWS: TRANSITION METHOD . . 89 4.0 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89 4.1 E N -PROCEDURE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 4.2 NUMERICAL METHOD . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 4.2.1 NUMERICAL FORMULATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94 4.2.2 CALCULATION OF DIMENSIONAL FREQUENCIES: NEUTRAL STABILITY CURVE . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 4.2.3 CALCULATION OF TRANSITION . . . . . . . . . . . . . . . . . . . . . . . . . . . 100 4.2.4 ESTIMATION OF EIGENVALUES . . . . . . . . . . . . . . . . . . . . . . . . . . 100 4.3 FORTRAN PROGRAM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 4.3.1 MAIN . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102 4.3.2 SUBROUTINE VELPRO . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104 4.3.3 SUBROUTINE CSAVE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 CONTENTS XI 4.3.4 SUBROUTINE NEWTON . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110 4.3.5 SUBROUTINE NEWTONI . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114 5. APPLICATIONS OF THE CALCULATION METHOD: AIRFOILS IN INCOMPRESSIBLE FLOWS . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115 5.0 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115 5.1 AIRFOILS AT HIGH REYNOLDS NUMBERS . . . . . . . . . . . . . . . . . . . . . . . . . 117 5.2 ACCURACY OF THE E N -METHOD FOR FLOWS WITH SEPARATION . . . . . . . . . 120 5.2.1 EXPERIMENTAL DATA OF GAULT . . . . . . . . . . . . . . . . . . . . . . . . 123 5.2.2 EXPERIMENTAL DATA OF COUSTEIX AND PAILHAS . . . . . . . . . . . . 124 5.2.3 EXPERIMENTAL DATA OF HOHEISEL ET AL. . . . . . . . . . . . . . . . . . 125 5.3 AIRFOILS AT LOW REYNOLDS NUMBERS . . . . . . . . . . . . . . . . . . . . . . . . . 128 5.3.1 EPPLER AIRFOIL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129 5.3.2 LIEBECK AIRFOILS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130 5.4 AIRFOILS AT LOW MACH NUMBERS . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136 5.5 PREDICTION OF ICE SHAPES ON AIRFOILS . . . . . . . . . . . . . . . . . . . . . . . . 138 5.5.1 FLOW*ELD CALCULATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139 5.5.2 PARTICLE TRAJECTORY CALCULATION . . . . . . . . . . . . . . . . . . . . . . 140 5.5.3 THE ENERGY BALANCE AND ICE ACCRETION . . . . . . . . . . . . . . . 141 5.5.4 PREDICTION OF ICE SHAPES . . . . . . . . . . . . . . . . . . . . . . . . . . . 147 5.6 AIRFOILS WITH LEADING-EDGE ROUGHNESS . . . . . . . . . . . . . . . . . . . . . . 149 5.6.1 RESULTS FOR AIRFOILS WITH LEADING-EDGE ROUGHNESS . . . . . . . 150 5.6.2 RESULTS FOR ICED AIRFOILS . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151 5.6.3 E*ECT OF ICE ON AIRFOIL STALL AT HIGH REYNOLDS NUMBERS . . 154 5.7 MULTIELEMENT AIRFOILS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 156 5.7.1 INTERACTION LAW . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 156 5.7.2 TURBULENCE MODEL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157 5.7.3 SOLUTION PROCEDURE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157 5.7.4 RESULTS FOR AN AIRFOIL WITH FLAP-WELL . . . . . . . . . . . . . . . . . 158 5.7.5 RESULTS FOR TWO-ELEMENT AIRFOILS . . . . . . . . . . . . . . . . . . . . 160 5.7.6 SUMMARY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 165 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 166 6. TWO-DIMENSIONAL COMPRESSIBLE FLOWS . . . . . . . . . . . . . . . . . . . . . . 169 6.0 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169 6.1 BOUNDARY-LAYER EQUATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 170 6.1.1 TRANSFORMED EQUATIONS: STANDARD MODE . . . . . . . . . . . . . . 171 6.1.2 TRANSFORMED EQUATIONS: INVERSE MODE . . . . . . . . . . . . . . . . 172 6.1.3 TRANSFORMED EQUATIONS: GENERAL FORM . . . . . . . . . . . . . . . 174 6.2 NUMERICAL METHOD . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 174 6.2.1 NUMERICAL FORMULATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . 175 6.2.2 NEWTON S METHOD . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177 XII CONTENTS 6.2.3 BLOCK-ELIMINATION METHOD . . . . . . . . . . . . . . . . . . . . . . . . . 179 6.2.4 BORDERING ALGORITHM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 180 6.2.5 SUBROUTINE SOLV5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183 6.3 FORTRAN PROGRAM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 187 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 188 7. TWO-DIMENSIONAL INCOMPRESSIBLE UNSTEADY FLOWS: INVISCID METHOD . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189 7.0 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189 7.1 UNSTEADY FLOW MODEL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189 7.2 INFLUENCE COE*CIENTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191 7.3 SOLUTION PROCEDURE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 194 7.4 VELOCITY POTENTIAL AND PRESSURE DISTRIBUTION . . . . . . . . . . . . . . . . . 197 7.5 VISCOUS E*ECTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199 7.6 FORTRAN PROGRAM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 200 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 200 8. TWO-DIMENSIONAL UNSTEADY INCOMPRESSIBLE FLOWS: BOUNDARY-LAYER METHOD . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201 8.0 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201 8.1 INITIAL CONDITIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 203 8.2 TRANSFORMED EQUATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 203 8.2.1 TRANSFORMED EQUATIONS: STANDARD MODE . . . . . . . . . . . . . . 203 8.2.2 TRANSFORMED EQUATIONS: INVERSE MODE . . . . . . . . . . . . . . . . 205 8.2.3 TRANSFORMED EQUATIONS: GENERAL FORM . . . . . . . . . . . . . . . 205 8.3 NUMERICAL METHOD: FLOWS WITHOUT REVERSAL . . . . . . . . . . . . . . . . . . 206 8.4 NUMERICAL METHOD: FLOWS WITH REVERSAL . . . . . . . . . . . . . . . . . . . . 210 8.4.1 ZIG-ZAG BOX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 210 8.4.2 CHARACTERISTIC BOX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 212 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 218 9. APPLICATION OF THE CALCULATION METHOD: AIRFOILS IN INCOMPRESSIBLE UNSTEADY FLOWS . . . . . . . . . . . . . . . . . . 219 9.0 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 219 9.1 SEPARATION AND REATTACHMENT NEAR THE LEADING EDGE OF A THIN OSCILLATING AIRFOIL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 222 9.1.1 MODEL PROBLEM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 222 9.1.2 INITIAL CONDITIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 224 9.1.3 THE QUESTION OF SINGULARITY ON AN OSCILLATING AIRFOIL . . . . 227 9.1.4 INTERACTION AS AN ANSWER TO THE QUESTION OF SINGULARITY . . 233 9.2 STEADY AND UNSTEADY AIRFOIL FLOWS . . . . . . . . . . . . . . . . . . . . . . . . . 238 9.2.1 RESULTS OF UNSTEADY FLOWS . . . . . . . . . . . . . . . . . . . . . . . . . 242 9.2.2 INITIATION OF DYNAMIC STALL ON A PITCHING AIRFOIL . . . . . . . . 248 CONTENTS XIII 9.2.3 SUMMARY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 251 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 251 10. THREE-DIMENSIONAL INCOMPRESSIBLE FLOWS: INVISCID METHOD . . 253 10.0 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 253 10.1 GENERAL FEATURES OF THE METHOD OF SOLUTION . . . . . . . . . . . . . . . . . . 256 10.1.1 ORDER OF INPUT POINTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 256 10.1.2 USE OF A DIPOLE DISTRIBUTION TO REPRESENT VORTICITY . . . . . 256 10.1.3 LIFT CARRY-OVER: THE EXTRA STRIP . . . . . . . . . . . . . . . . . . . . 257 10.1.4 THE MATRIX OF INDUCED VELOCITIES . . . . . . . . . . . . . . . . . . . . 258 10.2 FORMATION OF THE PANELS FROM INPUT POINTS . . . . . . . . . . . . . . . . . . 259 10.3 INDUCED-VELOCITY FORMULAS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 262 10.3.1 FORM OF THE SURFACE DIPOLE DISTRIBUTION . . . . . . . . . . . . . . 262 10.3.2 VARIATION OVER A TRAPEZOIDAL PANEL . . . . . . . . . . . . . . . . . . . 263 10.3.3 USE OF A FAR-FIELD APPROXIMATION . . . . . . . . . . . . . . . . . . . 264 10.3.4 NOTATION FOR THE INDUCED VELOCITIES . . . . . . . . . . . . . . . . . . 265 10.3.5 FAR-FIELD FORMULAS FOR THE VELOCITY INDUCED BY A LIFTING PANEL . . . . . . . . . . . . . . . . . . . . . . . . . 266 10.3.6 NEAR-FIELD FORMULAS FOR THE VELOCITY INDUCED BY A LIFTING PANEL . . . . . . . . . . . . . . . . . . . . . . . . . 267 10.3.7 THE VELOCITY INDUCED BY A WAKE PANEL . . . . . . . . . . . . . . . 269 10.3.8 OPTION FOR SEMI-IN*NITE LAST WAKE PANEL . . . . . . . . . . . . . 270 10.4 ASSEMBLY OF FINAL VELOCITIES AND SOLUTION OF THE EQUATIONS FOR THE SOURCE AND DIPOLE STRENGTHS . . . . . . . . . . . . . . . . . . . . . . . . 271 10.4.1 FINAL VELOCITIES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 271 10.4.2 THE KUTTA CONDITION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 272 10.4.3 ITERATIVE MATRIX SOLUTION . . . . . . . . . . . . . . . . . . . . . . . . . . . 272 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 274 11. THREE-DIMENSIONAL FLOWS: BOUNDARY-LAYER METHOD . . . . . . . . . 275 11.0 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 275 11.1 BOUNDARY-LAYER EQUATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 275 11.2 INITIAL CONDITIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 278 11.2.1 QUASI-THREE-DIMENSIONAL BOUNDARY-LAYER EQUATIONS . . . . 278 11.2.2 ATTACHMENT LINE EQUATIONS . . . . . . . . . . . . . . . . . . . . . . . . 279 11.3 TURBULENCE MODEL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 280 11.4 INTERACTION LAW . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 281 11.4.1 QUASI-THREE-DIMENSIONAL HILBERT INTEGRAL . . . . . . . . . . . . . 282 11.4.2 INTERACTION LAW FOR THREE-DIMENSIONAL FLOWS . . . . . . . . . . 282 11.5 INTERFACE PROGRAM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 283 11.5.1 CHOICE OF THE SURFACE COORDINATE SYSTEM . . . . . . . . . . . . . 283 11.5.2 GEOMETRIE PARAMETERS OF THE COORDINATE SYSTEM . . . . . . . 286 XIV CONTENTS 11.5.3 CALCULATION OF INVISCID VELOCITY COMPONENTS FOR BOUNDARY-LAYER GRID . . . . . . . . . . . . . . . . . . . . . . . . . . . 288 11.6 TRANSFORMED EQUATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 289 11.6.1 TRANSFORMED EQUATIONS: STANDARD MODE . . . . . . . . . . . . . . 289 11.6.2 TRANSFORMED EQUATIONS: INVERSE MODE . . . . . . . . . . . . . . . . 293 11.7 SOLUTION OF THE THREE-DIMENSIONAL BOUNDARY-LAYER EQUATIONS: STANDARD MODE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 294 11.7.1 THREE-DIMENSIONAL STEADY FLOWS WITHOUT REVERSAL . . . . . 296 11.7.2 THREE-DIMENSIONAL STEADY FLOWS WITH REVERSAL . . . . . . . . 302 11.8 SOLUTION OF THE THREE-DIMENSIONAL BOUNDARY-LAYER EQUATIONS: INVERSE MODE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 305 11.8.1 NUMERICAL FORMULATION OF THE THREE-DIMENSIONAL BOUNDARY-LAYER EQUATIONS WITH THE ZIG-ZAG SCHEINE . . . . 306 11.8.2 NUMERICAL FORMULATION OF THE QUASI-THREE-DIMENSIONAL BOUNDARY-LAYER EQUATIONS . . . . . . . . . . . . . . . . . . . . . . . . . 310 11.9 MODELLING OF VISCOUS E*ECTS IN THREE-DIMENSIONAL INVISCID FLOWS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 311 APPENDIX 11A BOUNDARY-LAYER EQUATIONS FOR RESTRICTED THREE-DIMENSIONAL FLOWS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 313 A11.1 BOUNDARY-LAYER EQUATIONS WITH IN*NITE-SWEPT-WING APPROXIMATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 313 A11.2 EXTERNAL VELOCITY DISTRIBUTION FOR IN*NITE SWEPT WINGS . . 315 A11.3 BOUNDARY-LAYER EQUATIONS WITH CONICAL FLOW APPROXIMATION . . . . . . . . . . . . . . . . . . . 316 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 323 12. THREE-DIMENSIONAL FLOWS: TRANSITION METHOD . . . . . . . . . . . . . . . 325 12.0 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 325 12.1 EIGENVALUE FORMULATIONS FOR THREE-DIMENSIONAL FLOWS . . . . . . . . . 326 12.2 NUMERICAL METHOD FOR INCOMPRESSIBLE FLOWS . . . . . . . . . . . . . . . . . 329 12.2.1 CALCULATION OF DIMENSIONAL FREQUENCIES: THE ZARF . . . . . . 329 12.2.2 CALCULATION OF TRANSITION . . . . . . . . . . . . . . . . . . . . . . . . . . . 332 12.2.3 ESTIMATION OF EIGENVALUES . . . . . . . . . . . . . . . . . . . . . . . . . . 333 12.3 NUMERICAL METHOD FOR COMPRESSIBLE FLOWS . . . . . . . . . . . . . . . . . . . 333 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 337 13. APPLICATIONS OF THE CALCULATION METHOD TO THREE-DIMENSIONAL SUBSONIC AND TRANSONIC FLOWS . . . . . . . . 339 13.0 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 339 13.1 ACCURACY OF THE E N -METHOD FOR THREE-DIMENSIONAL FLOWS . . . . . . . 339 13.1.1 INCOMPRESSIBLE FLOWS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 340 13.1.2 COMPRESSIBLE FLOWS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 344 13.2 E*ECT OF CURVATURE ON TRANSITION . . . . . . . . . . . . . . . . . . . . . . . . . . 348 CONTENTS XV 13.2.1 INCOMPRESSIBLE LINEAR STABILITY EQUATIONS WITH CURVATURE TERMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 350 13.2.2 E*ECTS OF SWEEP ANGLE AND REYNOLDS NUMBER ON TRANSITION WITH CURVATURE E*ECT INCLUDED IN THE STABILITY EQUATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . 351 13.3 SUBSONIC FLOWS: WING ALONE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 355 13.3.1 SAAB WING . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 358 13.3.2 RAE WING . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 361 13.4 SUBSONIC FLOWS: MULTIELEMENT WINGS . . . . . . . . . . . . . . . . . . . . . . . 369 13.4.1 WING-FLAP CON*GURATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . 370 13.4.2 SLAT-WING-FLAP CON*GURATIONS . . . . . . . . . . . . . . . . . . . . . . 371 13.4.3 SUMMARY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 373 13.5 PREDICTION OF THE AERODYNAMIC PERFORMANCE DEGRADATION OF AN AIRCRAFT IN NATURAL ICING CONDITIONS . . . . . . . . . . . . . . . . . . . 373 13.5.1 PREDICTION OF ICE SHAPES ON WINGS . . . . . . . . . . . . . . . . . . . 373 13.5.2 E*ECT OF ICING CONDITIONS ON LIFT AND DRAG COE*CIENTS . . 378 13.5.3 SUMMARY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 380 13.6 TRANSONIC FLOWS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 381 13.6.1 ONERA-M6 WING . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 385 13.6.2 DOUGLAS WING/FUSELAGE CON*GURATION . . . . . . . . . . . . . . . . 386 APPENDIX 13A CALCULATION OF PARTICLE TRAJECTORIES . . . . . . . . . . . . . . . . . 387 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 390 SUBJECT INDEX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 393
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physical XV, 396 S. graph. Darst.
publishDate 1999
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publisher Horizons Publ. [u.a.]
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An engineering approach to the calculation of aerodynamic flows with ... 11 tables
Inkompressible Strömung (DE-588)4129759-3 gnd
Aerodynamik (DE-588)4000589-6 gnd
Numerisches Modell (DE-588)4338132-7 gnd
subject_GND (DE-588)4129759-3
(DE-588)4000589-6
(DE-588)4338132-7
title An engineering approach to the calculation of aerodynamic flows with ... 11 tables
title_auth An engineering approach to the calculation of aerodynamic flows with ... 11 tables
title_exact_search An engineering approach to the calculation of aerodynamic flows with ... 11 tables
title_full An engineering approach to the calculation of aerodynamic flows with ... 11 tables Tuncer Cebeci
title_fullStr An engineering approach to the calculation of aerodynamic flows with ... 11 tables Tuncer Cebeci
title_full_unstemmed An engineering approach to the calculation of aerodynamic flows with ... 11 tables Tuncer Cebeci
title_short An engineering approach to the calculation of aerodynamic flows
title_sort an engineering approach to the calculation of aerodynamic flows with 11 tables
title_sub with ... 11 tables
topic Inkompressible Strömung (DE-588)4129759-3 gnd
Aerodynamik (DE-588)4000589-6 gnd
Numerisches Modell (DE-588)4338132-7 gnd
topic_facet Inkompressible Strömung
Aerodynamik
Numerisches Modell
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008908155&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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