Appendici Appendici

Appendice A

Riportiamo i risultati completi delle prove sperimentali che abbiamo utilizzato

come confronto.

PRESSURE MEASUREMENTS - DAST -

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=============

ISOLATED WING 1

---

MACH = .30

REYNOLDS = 0.289E+07

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=============

WING GEOMETRIC DATA

ROOT CHORD = .350 m TIP CHORD = .140 m SEMISPAN (B/2) = .700 m

ASPECT RATIO = 5.71 TAPER RATIO = .40

SWEEP ANGLE (25% C) = .00 SWEEP ANGLE (L.E.) = 4.29

MEAN AERODYNAMIC CHORD (M.A.C.) = .260 m

M.A.C. LEADING EDGE X-POSITION = .023 m

REFERENCE VALUES

REFERENCE SURFACE = .171 m**2

REFERENCE LENGTH (M.A.C.) = .260 m

GLOBAL PITCHING MOMENT AXIS (X) = .087 m

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GLOBAL COEFFICIENTS

ALFA LIFT

PITCH MOMENT PRESSURE CENTRE POSITION

. (A.C.) X/(M.A.C.) Y/(B/2) .

4

.324 .005

.320

.425

14

1.131 .015

.323 .431

ALFA = 4 DEG.

Y/(B/2) 0.04 0.18 0.30 0.40 0.50 X/C (CPU CPL) (CPU CPL) (CPU CPL) (CPU CPL) (CPU CPL)

.02 -1.001 .364 -1.127 .395 -1.186 .417 -1.160 .455 -1.173 .470 .05 -.892 .051 -1.020 .061 -1.078 .060 -1.072 .098 -1.081 .104 .10 -.740 -.093 -.854 -.097 -.915 -.101 -.902 -.096 -.931 -.095 .15 -.660 -.140 -.720 -.159 -.745 -.151 -.777 -.160 -.801 -.173 .20 -.588 -.165 -.649 -.192 -.664 -.193 -.685 -.197 -.701 -.195 .25 -.571 -.201 -.584 -.197 -.607 -.206 -.626 -.208 -.637 -.206 .30 -.513 -.193 -.550 -.204 -.553 -.200 -.557 -.204 -.559 -.210 .35 -.448 -.174 -.489 -.207 -.500 -.208 -.504 -.205 -.530 -.209 .40 -.409 -.179 -.448 -.211 -.458 -.214 -.467 -.200 -.463 -.193 .45 -.369 -.163 -.402 -.190 -.409 -.186 -.411 -.186 -.398 -.176 .50 -.317 -.143 -.343 -.169 -.356 -.168 -.356 -.165 -.351 -.158 .60 -.237 -.116 -.260 -.127 -.265 -.135 -.268 -.134 -.273 -.132 .70 -.159 -.080 -.180 -.092 -.151 -.050 -.184 -.082 -.187 -.083 .80 -.086 -.042 -.097 -.048 -.098 -.041 -.104 -.045 -.107 -.048 .90 -.001 .014 -.001 .010 -.002 .011 0.000 .016 -.005 .005 .95 .058 .057 .067 .059 .063 .054 .065 .058 .061 .045 Y/(B/2) 0.60 0.70 0.80 0.90 0.97 X/C (CPU CPL) (CPU CPL) (CPU CPL) (CPU CPL) (CPU CPL) .02 -1.180 .470 -1.031 .526 -.991 .538 -.911 .487 -.725 .396 .05 -1.070 .121 -1.069 .126 -1.027 .114 -1.012 .071 -.809 -.007 .10 -.917 -.087 -.934 -.093 -.938 -.112 -.885 -.146 -.723 -.195 .15 -.808 -.176 -.818 -.183 -.836 -.199 -.777 -.216 -.619 -.241 .20 -.726 -.200 -.765 -.232 -.753 -.239 -.670 -.237 -.581 -.260 .25 -.654 -.214 -.651 -.224 -.656 -.241 -.624 -.268 -.484 -.251 .30 -.567 -.216 -.583 -.222 -.578 -.228 -.515 -.232 -.417 -.233 .35 -.510 -.203 -.494 -.199 -.486 -.207 -.460 -.222 -.352 -.214 .40 -.453 -.190 -.437 -.180 -.422 -.183 -.400 -.202 -.315 -.196 .45 -.393 -.158 -.411 -.186 -.379 -.173 -.333 -.173 -.286 -.184 .50 -.349 -.153 -.349 -.157 -.341 -.162 -.321 -.190 -.252 -.167 .60 -.265 -.122 -.267 -.130 -.280 -.157 -.232 -.137 -.211 -.152 .70 -.189 -.091 -.181 -.085 -.179 -.095 -.167 -.110 -.161 -.116 .80 -.102 -.045 -.095 -.038 -.096 -.048 -.090 -.063 -.107 -.076 .90 .002 .021 .001 .015 .006 .015 .006 .002 -.038 -.028 .95 .070 .067 .070 .065 .071 .057 .069 .053 .022 .019

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ALFA = 14 DEG. Y/(B/2 0.04 0.18 0.30 0.40 0.50 X/C (CPU CPL) (CPU CPL) (CPU CPL) (CPU CPL) (CPU CPL) .02 -3.695 .960 -4.481 .996 -4.754 1.004 -4.957 .992 -4.976 .982 .05 -2.357 .764 -2.732 .840 -2.932 .858 -2.962 .875 -3.047 .882 .10 -1.623 .529 -1.891 .572 -2.020 .600 -2.065 .620 -2.136 .623 .15 -1.295 .398 -1.476 .433 -1.540 .461 -1.611 .465 -1.666 .467 .20 -1.154 .312 -1.223 .318 -1.286 .348 -1.303 .350 -1.367 .362 .25 -1.034 .239 -1.058 .254 -1.100 .268 -1.141 .275 -1.169 .286 .30 -.889 .198 -.927 .200 -.953 .220 -.981 .220 -.999 .228 .35 -.754 .169 -.792 .157 -.834 .168 -.854 .177 -.877 .176 .40 -.663 .133 -.703 .121 -.737 .135 -.748 .143 -.754 .148 .45 -.568 .112 -.612 .098 -.626 .113 -.644 .116 -.645 .132 .50 -.478 .104 -.513 .089 -.539 .097 -.550 .103 -.549 .112 .60 -.335 .073 -.367 .072 -.383 .078 -.391 .081 -.397 .084 .70 -.217 .059 -.239 .060 -.172 .049 -.255 .065 -.258 .066 .80 -.112 .048 -.121 .056 -.126 .059 -.132 .058 -.133 .058 .90 -.015 .052 -.005 .063 -.008 .064 -.011 .062 -.013 .058 .95 .034 .067 .055 .079 .048 .072 .046 .070 .039 .063

Y/(B/2 0.60 0.70 0.80 0.90 0.97 X/C (CPU CPL) (CPU CPL) (CPU CPL) (CPU CPL) (CPU CPL) .02 -5.075 .973 -4.452 .973 -4.571 .973 -4.043 .989 -2.921 .966 .05 -3.065 .901 -3.050 .905 -2.958 .892 -2.781 .842 -2.057 .683 .10 -2.144 .642 -2.178 .637 -2.141 .605 -1.936 .543 -1.446 .351 .15 -1.656 .467 -1.703 .464 -1.689 .437 -1.514 .369 -1.145 .189 .20 -1.405 .355 -1.436 .344 -1.404 .318 -1.237 .252 -1.010 .076 .25 -1.190 .284 -1.197 .274 -1.176 .244 -1.067 .169 -.861 .028 .30 -1.009 .227 -1.011 .218 -.986 .214 -.890 .135 -.758 -.008 .35 -.867 .187 -.853 .177 -.832 .159 -.767 .087 -.672 -.023 .40 -.745 .156 -.734 .149 -.710 .132 -.661 .062 -.622 -.050 .45 -.641 .140 -.636 .129 -.616 .110 -.571 .060 -.581 -.063 .50 -.549 .116 -.545 .112 -.536 .088 -.529 .015 -.545 -.078 .60 -.396 .082 -.398 .076 -.416 .033 -.401 .012 -.519 -.093 .70 -.263 .062 -.261 .054 -.268 .038 -.305 -.001 -.470 -.096 .80 -.135 .051 -.140 .045 -.147 .032 -.202 -.001 -.418 -.088 .90 -.018 .053 -.023 .045 -.033 .032 -.081 .008 -.372 -.081 .95 .035 .058 .026 .047 .015 .031 -.015 .023 -.289 -.072

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PRESSURE MEASUREMENTS - DAST -

=========================================================================

=============

ISOLATED WING 1

---

MACH = .70

REYNOLDS = 0.277E+07

=========================================================================

=============

WING GEOMETRIC DATA

ROOT CHORD = .350 m TIP CHORD = .140 m SEMISPAN (B/2) = .700 m

ASPECT RATIO = 5.71 TAPER RATIO = .40

SWEEP ANGLE (25% C) = .00 SWEEP ANGLE (L.E.) = 4.29

MEAN AERODYNAMIC CHORD (M.A.C.) = .260 m

M.A.C. LEADING EDGE X-POSITION = .023 m

REFERENCE VALUES

REFERENCE SURFACE = .171 m**2

REFERENCE LENGTH (M.A.C.) = .260 m

GLOBAL PITCHING MOMENT AXIS (X) = .087 m

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GLOBAL COEFFICIENTS

ALFA LIFT

PITCH MOMENT PRESSURE CENTRE POSITION

. (A.C.) X/(M.A.C.) Y/(B/2) .

ALFA = 4 DEG.

Y/(B/2 0.04 0.18 0.30 0.40 0.50 X/C (CPU CPL) (CPU CPL) (CPU CPL) (CPU CPL) (CPU CPL)

.02 -.931 .369 -.951 .413 -.990 .429 -.918 .461 -.888 .473 .05 -1.040 .063 -1.200 .051 -1.241 .050 -1.206 .071 -1.254 .033 .10 -1.010 -.093 -1.313 -.142 -1.342 -.152 -1.339 -.145 -1.320 -.155 .15 -.880 -.156 -1.189 -.214 -1.289 -.216 -1.315 -.216 -1.322 -.243 .20 -.756 -.190 -.779 -.253 -1.199 -.259 -1.233 -.270 -1.272 -.279 .25 -.690 -.228 -.700 -.274 -.610 -.285 -.871 -.292 -1.221 -.307 .30 -.616 -.230 -.659 -.275 -.634 -.287 -.580 -.295 -.523 -.295 .35 -.545 -.217 -.580 -.268 -.585 -.281 -.573 -.283 -.557 -.304 .40 -.489 -.210 -.517 -.260 -.531 -.280 -.534 -.275 -.512 -.279 .45 -.429 -.200 -.456 -.241 -.464 -.252 -.465 -.258 -.442 -.241 .50 -.363 -.179 -.387 -.220 -.400 -.227 -.399 -.232 -.386 -.220 .60 -.245 -.136 -.273 -.155 -.277 -.163 -.283 -.165 -.286 -.175 .70 -.148 -.088 -.173 -.106 -.114 -.060 -.177 -.108 -.180 -.113 .80 -.062 -.036 -.074 -.048 -.074 -.048 -.078 -.053 -.079 -.056 .90 .029 .027 .039 .024 .040 .027 .040 .028 .037 .021 .95 .082 .075 .113 .087 .102 .077 .111 .083 .107 .079 Y/(B/2 0.60 0.70 0.80 0.90 0.97 X/C (CPU CPL) (CPU CPL) (CPU CPL) (CPU CPL) (CPU CPL)

.02 -.861 .478 -.726 .543 -.692 .548 -.641 .520 -.595 .430 .05 -1.153 .099 -1.109 .109 -1.085 .104 -1.060 .047 -1.021 -.031 .10 -1.303 -.152 -1.278 -.163 -1.253 -.185 -1.239 -.214 -1.057 -.293 .15 -1.362 -.262 -1.312 -.273 -1.334 -.300 -1.227 -.317 -.862 -.357 .20 -1.339 -.297 -1.372 -.343 -1.313 -.358 -1.119 -.359 -.731 -.379 .25 -1.245 -.323 -1.264 -.346 -1.240 -.355 -.789 -.392 -.616 -.361 .30 -.565 -.305 -.705 -.326 -.685 -.343 -.589 -.341 -.520 -.321 .35 -.525 -.297 -.507 -.295 -.501 -.304 -.527 -.326 -.447 -.294 .40 -.479 -.270 -.449 -.263 -.440 -.268 -.460 -.296 -.389 -.260 .45 -.423 -.235 -.426 -.265 -.402 -.249 -.386 -.249 -.354 -.246 .50 -.378 -.221 -.369 -.226 -.363 -.238 -.330 -.216 -.316 -.226 .60 -.279 -.175 -.277 -.183 -.265 -.184 -.262 -.193 -.262 -.202 .70 -.182 -.121 -.174 -.119 -.176 -.128 -.182 -.146 -.198 -.154 .80 -.078 -.058 -.072 -.055 -.073 -.065 -.086 -.082 -.133 -.102 .90 .042 .028 .037 .021 .041 .017 .029 .001 -.052 -.042 .95 .111 .086 .108 .085 .106 .072 .095 .063 .020 .022

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ALFA = 14.01 DEG. Y/(B/2 0.04 0.18 0.30 0.40 0.50 X/C (CPU CPL) (CPU CPL) (CPU CPL) (CPU CPL) (CPU CPL)

.02 -1.532 .864 -1.041 .941 -1.039 .951 -.995 .961 -1.083 .972 .05 -1.036 .587 -.861 .628 -.862 .633 -.824 .647 -.953 .605 .10 -.811 .366 -.763 .368 -.753 .375 -.736 .382 -.778 .384 .15 -.724 .244 -.732 .232 -.714 .245 -.695 .256 -.747 .241 .20 -.676 .158 -.693 .137 -.680 .144 -.676 .144 -.706 .139 .25 -.640 .074 -.674 .069 -.654 .067 -.653 .065 -.678 .060 .30 -.609 .027 -.648 -.001 -.626 .011 -.633 .012 -.655 .009 .35 -.585 -.003 -.628 -.034 -.618 -.037 -.620 -.037 -.635 -.038 .40 -.567 -.036 -.609 -.072 -.592 -.081 -.599 -.075 -.620 -.070 .45 -.553 -.072 -.592 -.103 -.577 -.104 -.582 -.103 -.603 -.091 .50 -.538 -.096 -.577 -.118 -.564 -.126 -.571 -.124 -.595 -.118 .60 -.501 -.141 -.545 -.155 -.538 -.154 -.549 -.159 -.569 -.161 .70 -.453 -.178 -.513 -.188 -.506 -.213 -.530 -.197 -.552 -.201 .80 -.402 -.215 -.473 -.222 -.492 -.233 -.514 -.242 -.535 -.248 .90 -.366 -.250 -.434 -.277 -.462 -.291 -.488 -.301 -.510 -.315 .95 -.349 -.274 -.407 -.315 -.448 -.340 -.467 -.349 -.490 -.374

Y/(B/2 0.60 0.70 0.80 0.90 0.97 X/C (CPU CPL) (CPU CPL) (CPU CPL) (CPU CPL) (CPU CPL)

.02 -1.153 .977 -1.286 .999 -1.271 1.007 -1.383 .984 -1.628 .896 .05 -.942 .669 -1.184 .683 -1.220 .685 -1.301 .642 -1.595 .514 .10 -.821 .394 -.916 .393 -1.012 .377 -1.058 .343 -1.368 .177 .15 -.774 .228 -.891 .228 -.963 .206 -1.003 .171 -1.092 .013 .20 -.758 .129 -.844 .108 -.930 .095 -.966 .054 -.960 -.100 .25 -.730 .052 -.814 .036 -.903 .026 -.942 -.025 -.839 -.144 .30 -.707 .004 -.787 -.003 -.912 -.003 -.917 -.058 -.761 -.163 .35 -.686 -.036 -.767 -.038 -.843 -.048 -.898 -.091 -.699 -.183 .40 -.671 -.065 -.738 -.057 -.809 -.064 -.871 -.112 -.656 -.193 .45 -.657 -.079 -.722 -.104 -.777 -.092 -.837 -.120 -.640 -.206 .50 -.643 -.113 -.700 -.115 -.743 -.120 -.792 -.123 -.618 -.218 .60 -.618 -.157 -.658 -.162 -.672 -.153 -.730 -.172 -.607 -.232 .70 -.593 -.205 -.617 -.190 -.631 -.189 -.639 -.191 -.582 -.232 .80 -.564 -.250 -.584 -.233 -.585 -.218 -.549 -.198 -.562 -.220 .90 -.535 -.310 -.534 -.310 -.524 -.264 -.448 -.213 -.513 -.198 .95 -.512 -.373 -.512 -.364 -.489 -.323 -.393 -.234 -.402 -.169

Appendice B

Coordinate dei punti utilizzati per la generazione del profilo.

NACA 0012 Coordinates X/c Y/c 1.000000 0.001260 0.992704 0.002274 0.979641 0.004079 0.964244 0.006169 0.947231 0.008434 0.929323 0.010765 0.910956 0.013101 0.892372 0.015420 0.873723 0.017700 0.855041 0.019931 0.836311 0.022119 0.817558 0.024266 0.798819 0.026366 0.780088 0.028414 0.761336 0.030413 0.742560 0.032370 0.723780 0.034284 0.705012 0.036149 0.686255 0.037964 0.667502 0.039728 0.648751 0.041440 0.630004 0.043098 0.611266 0.044701 0.592538 0.046245 0.573821 0.047728 0.555117 0.049149 0.536430 0.050503 0.517763 0.051786 0.499117 0.052996 0.480488 0.054127 0.461875 0.055178 0.443287 0.056144 0.424740 0.057019 0.406241 0.057796 0.387789 0.058466 0.369372 0.059023 0.350989 0.059462 0.332648 0.059779 0.314366 0.059965 0.296159 0.060009 0.278033 0.059903 0.259997 0.059634 0.242060 0.059191 0.224236 0.058562 0.206544 0.057733 0.189011 0.056692 X/c Y/c 0.171676 0.055421 0.154596 0.053909 0.137852 0.052138 0.121548 0.050098 0.105827 0.047785 0.090903 0.045220 0.077039 0.042449 0.064541 0.039548 0.053594 0.036612 0.044211 0.033717 0.036254 0.030913 0.029567 0.028218 0.023982 0.025653 0.019310 0.023217 0.015371 0.020871 0.012012 0.018579 0.009117 0.016316 0.006653 0.014058 0.004621 0.011797 0.003007 0.009544 0.001777 0.007318 0.000894 0.005155 0.000322 0.003059 0.000036 0.001014 0.000036 -0.001014 0.000322 -0.003059 0.000894 -0.005155 0.001777 -0.007318 0.003007 -0.009544 0.004621 -0.011797 0.006653 -0.014058 0.009117 -0.016316 0.012012 -0.018579 0.015371 -0.020871 0.019310 -0.023217 0.023982 -0.025653 0.029567 -0.028218 0.036254 -0.030913 0.044211 -0.033717 0.053594 -0.036612 0.064541 -0.039548 0.077039 -0.042449 0.090903 -0.045220 0.105827 -0.047784 0.121548 -0.050098 0.137852 -0.052138 0.154596 -0.053909 X/c Y/c 0.171676 -0.055421 0.189011 -0.056692 0.206544 -0.057733 0.224236 -0.058562 0.242060 -0.059191 0.259997 -0.059634 0.278033 -0.059903 0.296159 -0.060009 0.314366 -0.059965 0.332648 -0.059779 0.350989 -0.059462 0.369372 -0.059023 0.387789 -0.058466 0.406241 -0.057796 0.424740 -0.057019 0.443287 -0.056144 0.461875 -0.055178 0.480488 -0.054127 0.499117 -0.052996 0.517763 -0.051786 0.536430 -0.050503 0.555117 -0.049149 0.573821 -0.047728 0.592538 -0.046245 0.611266 -0.044701 0.630004 -0.043098 0.648751 -0.041440 0.667502 -0.039728 0.686255 -0.037964 0.705012 -0.036149 0.723780 -0.034284 0.742560 -0.032370 0.761336 -0.030413 0.780088 -0.028414 0.798819 -0.026366 0.817558 -0.024266 0.836311 -0.022119 0.855041 -0.019931 0.873723 -0.017700 0.892372 -0.015420 0.910956 -0.013101 0.929323 -0.010765 0.947231 -0.008434 0.964244 -0.006169 0.979641 -0.004079 0.992704 -0.002274 1.000000 -0.001260

Appendice C

4° M=0.3

14 M=0.3

4° M=0.7

Appendice D

Confronti nei diagrammi del C

p

tra l’ultima prova effettuata, per il caso 14°

M=0.3 e gli ultimi step di infittimento per lo stesso caso; si evidenzia come la

nuova Mesh abbia portato una modifica della distribuzione di portanza, che

non si rileva solo infittendo la griglia.

Da questa sezione in poi i due diagrammi praticamente si sovrappongono.

Vediamo come, in particoalare, nalla zona in compressione al bordo di attacco

ci sia una netta differenza tra il 7°step degli infittimenti (in verde) e l’ultima

simulazione in rosso.