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AD-752 557 V/STOL AIRCRAFT AERODYNAMIC PREDICTION METHODS INVESTIGATION. VOLUME I. THEO- RETICAL DEVELOPMENT OF PREDICTION METHODS Peter T. Wooler, et al Northrop Corporation Prepared for: Air Force Flight Dynamics Laboratory January 1972 DISTRIBUTED BY: National Technical Information Service U. S. DEPARTMENT OF COMMERCE 5285 Port Royal Road, Springfield Va. 22151 AFFDL-TR-72-M V/STOL AIRCRAFT AERODYNAMIC PREDICTION METHODS INVESTIGATION Volume 1. Theoretical Development of Prediction Methocs (cid:127))m P.T. Wooler H.C. Kao M.F. Schwendemnann H.R. Wasson H. Ziegler Northrop Corporation Aircraft Division TECHNICAL REPORT AFFDL-TR-72-26, Volume I January 1972 r-- r Approved for public relea; distribution unlimited. ,LF NATIONA/(cid:127) L TECHNICNAL tl V)) INFOR,MATIO? SErPVICE jih.'- ; AIR FORCE FLIGHT DYNAMICS LABORATORY AIR FORrU SYSTEMS COMMAND WRIGHT-PATTERLON AIR FORCE BASE, OHIO 48433 (I// NOTICE When Government drawings, specifications, or other data are used for any purpose other tlsn in connection with a definitely related Government procurement operation, the United States Government thereby incurs no responsibility nor any obligation whatsoever; and the fact that the Government may have formulated, furnished, or in any way supplied the said drawings, specifications, or other data, is not to be regarded by implication or otherwise as in any manner licensing the holder or any other person or corporation, or conveying any rights or permission to manufacture, use, or sell any patented invention that may in any way be related thereto. I Copies of this report should net be returned unless return is required by security con- slderations, contractual obligations, or notice on a specific document. I' AIR FORCE/56780/30 November 1972 --300 Unclassified secuuitt Classification DOCUMENT CONTROL DATA.- R & D (Seoiwity Classificationo f title,.b ody of obetteed "~ indeuing or* ,,fatiae mse be entered when the 0owroll repart Is elassifiel~ I )RIGINATINS ACTIVITYV(Coopomrebeeu*4) 2Za. REPORT SEC JRITY CLASSIFICAT.ON N~orthrop Corpcration IUnclasssfie'ri Aircraft Division Sb. GROUP Hawthorne, California 3 REPORT TITLE V/STOL AIRCRAFT AFROD-NAMIC PREDICTION METrHODS INVESTIGATION - Volume I A DESCRIPTIVE NOTES (Ty'pe afreport and Iulunive datee) Final Report - 1 May 1969 to 31 January 1972 S PAVe TtHeOrR IITaI .f (PWhato rooslse, r otiddle 110filf last na00) Howard R. Wasson Hsiao C,~ Kao Henry Ziegler Myles F. Schwendemann_____ * MEPORT DATE 118. TOTAL NO OFP AGES 7b. NO. OF REFS Januar~y 1972 2-3Z2 50 S.CONTRACT OR GRANT NO S.ORIGINATOP'S REPORT NUMOERISI15 F33615-69-C-1602 5.PROJIECT NO0 NOR 72-9, Volume 1 698 BT ~.TasA No. 698 BT 01 9b. OTHER REPORT NOMS (Any Other ntinlbONO rfior may be .easloed at____________________ AFFrL-TR-72-26, Volume 1 10 OISTAIISUIION STATEMENT Approved for public release,, distributior. unlimited., of SUPPLEMENTARY NOTES III SPONdSORING MILITARY ACTIVITY Air rorce Flight Dynamics Laboratc ry IWright-Patterson- 1 i r Force Base Ohio 45433 ISASSTR^CT Analytical engineering methods are developed for use in predicting the static and lynamic stability and control derivatives and force and moment c.-)efficients of lift-jet, lift-fan, and vectored thrust V/sTOL aircraft in the hover and transition flight regimes. The methods teke into account the strong power effects,. large variations in angle of attack and sideslip, and changes in aircraft geometry that are associated with high disk loaded V/STOL aircraft operating in the aforementioned flight regimes,~ The aircraft configurations studied have a conventional wing, fuselage and empennage. The pre- diction methods are suitable for use by design personnel during the preliminary design and evaluation of V/STOL aircraft of the type previously mentioned. This report c2onsists of four volumes. The theoretical development of the prediction .iethods is presented in this volume. The methods are applied to a number of V//STOL configurations in Volume 11. Details of the c~rmputei: programs ahsociated with the prediction methods are given in Volume 111. The results of a literature survey are present~d in Volume IV, Details 01 illustrations in this document may be better j stiggied Onl microfiche ~ DD , Nov__J_473_1_Inc __I______fied Unclassified Se-curity Classification -4 LINK A LINK a LINK C KIEV 00OLE WT ROLL WT ROLE WT V/STOL Aircraft XV-5A V/STOL Stability and Control Aerodynamic Characteristics (Subsonic) Forces (Normal Force, Lift, Side Force) Moments (Pitching, Rolling, Yawing) Rotary Derivatives V/STOL Aerodynamics Nonlinear Aerodynamics Wing Stall Separated Flows V/STOL Transitional Flight Engine Wake Effects Jet Exhaust Fields Jet Interference Effects Jet i,. Cross Flow Jet Path Multiple Jets Jet Interaction Power Effects Fngine Inlet Effects Vortices Computer Programs "(cid:127)Q S G-.ernmtnt Printing Office 1972 759-488/;,' (, ,. V/STOL AIRCRAFT AERODYNAMIC PREDICTION METHODS INVESTIGATI(cid:127)k Vclume I Theoretical Development of Prediction Methods P.T. Wooler P.C. Kao M.F. Schwendemann H.R. Wasson H. Ziegler Approved for public release; distribution unlimited. FOREWORD This report summarizes the work accomplished by the Aircraft Division of Northrop Corporation, Hawthorne, California for the Air Force Flight Dynamics Laborat-,-y, AFSC, Wright Patterson Air Force Base, Ohio, and USAF Contract No. F33615-69-C-1602 (Proict 698 BT). This document constitutes the Final Report under the contract. This work was accomplished during the period 1 May 1969 to 31 January 1972, and this report was released by the authors in January 1972. The Air Force Pv:oject Engineers were Mr. Robert Nicholson and Mr. Henry W. Woolard of the Con'rol Criteria Branch, Flight Control Division, AFFDL. Their assistance in inc- itoring the work and providing data is greatly appreciated. The authors gratefully acknowledge the assistance and cooperatiou ,.i '.ASA Langley Research Ccter personnel during the w:.id tunnel model testing in the NASA Langley V/STOL tunnel. Special recognition is due Mr. Richard J. Margason of NASA Langley Research Center who, besides being actively irvolved in the testing at Langlel , has made valu- able co3ntributions to other areas of thu investigation. Various people at Northrop's AirLraft Division contributed to the inies'igation, particularly the following persons in the areas designated: Lynn B. ?'ricke Developed empirical methods for the wing. Was Test Engineer for the wind tunnel testing of the component model. Hslao C. Kao Developed the transformation method for estimating power effects on wings and fuselages. Developed the empirical method for the body. Myles F. Schwendemann Developed the method for estimating engine inlet effects. Provided prediction method wir.d tunnel tez(cid:127)ting interface for the configuration m'dei. Participated in the hover analysis. ii Martin F. Silady Assembled the V/STOL bibliography and was responsible !or the literature survey. Howard R. Wasson Developed the method for mapping general sections. Developed the nonlinear body prediction method. Assisted with the development of the perturbation method. Peter T. Wooler Directed the technical effort and developed the nonlinear wing prediction method, Henry Ziegler Developed the jet flow field prediction method. Per- iormed the analysis of wing power effects employing li.fting surface theory. Contributions have also been made by U. A.G. Brynjestad to this study in a num- ber of areas, particularly the literature search and perturbation method development; by M. S. Cahn in the development cf the method for mapping general sections and per- turbation method development; by members of the Northrop Aerosciences Laboratories in respect to model design, fabrication, testing and data reduction - especially T. Comerinsky, F. W. Peitzman, E. G. Kontos and W. S. Ramos. This report contains no classified information. This technical report has been reviewed and is 3pproved. TB.: Westbrook Chief, Control Criteria Branch Flight Control Division Air Force Flight Dynamics Laboratory iii ABSTRACT Analytical engineering methods are developed for use in predicting the static a'J dynamic stability and control derivatives and force and moment coefficients of lift-jet, lift-fan, and vectored thrust V/STOL aircraft in the hover and transition flight regimes. The methods take into account the strong power effects, large variations in angle of atta&ck and sideslip, and changes in aircraft geometry that are associated with high disk :oaded V/STOL aircraft operating in the aforementioned flight regimes. The aircraft configurations studied have a conventional wing, fuselage and empennage. The prediction methods are suitable for use bh desi.,-;l personnel during the preliminary design and evaluation of V/STOL aircraft of the type previously mentioned. This report consists of four volumes. The theoretical development of the prediction methods is presented in this volume. The methods are applind to a number of V/STOL configurations in Volume II. Details of the computer programs associated with the prediction methods are given in Volume III. The results o1 a literature survey are presented in Volume IV. Preceding page blank v TABLE OF CONTENTS Section Page I INTRODUCTION . .................................... i1. PURPOSE 2......................................2 2. TECHNICAL APPROACH ........................ .......... 2 3. REPORT ORGANIZATION. ................................ 3 1 JETFLOWFIE LDTHEORY.. .M.D........................... 5 1. SINGLE JET ANALYTICAL MODEL......................... 7 a. Normally Exhausting Jet 7.........................7 (1) Equations of M.otion ......................... 9 (2) Inm gration of the Equations of Motion ............... 11 (3) Determination of Empirical Parameters ............. 14 (4) Calculation of the Induced Velocity Field ............. 16 b. Arbitrary Jet Direction .......................... 23 2. COMPARISONS OF SINGLE JET-COMPUTATIONS WITH TEST DATA .................. ............. 26 a. JetCenterlin,, .................... ......... ...... 26 b. InducedPressurcs .... ............. ....... ......... 31 3. MULTIPLE JET ANALYTICAL MODEL ................. 42 a. Two-Jet Computations .......................... 42 b. Determination of Empirical Parameters ................. 45 (1) Effective Dynamic Pressure for Downstream Jets ..... 45 (2) Jet Decay Characteristics ..................... 49 (3) Geormetry of Merged Jet ...................... 56 4. COMPARISON OF TWO-JET CALCULATIONS WITH TEST DATA ................................ 57 5. APPLICATIONS TO MORE COMPLEX CONFIGURATIONS ..... 72 III MAPPING METHOD FOR ARBITRARY CROSS SECTION ........... 77 1. COMPUTATION OF COMPLEX POTENTIAL FOR VORTEX FLOW . ................................. 78 2. %'2OMPUTATION OF DERIVATIVE OF MAPPING FUNCTION WITH CORNERS .......................... 82 COMPUTATION OF MAPPING Fi -ICTION .................. 83 . SAMPLE CALCULATIONS OF MAPPINGS ................ 84 vii Preceding page blank

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Details of the c~rmputei: programs ahsociated with the prediction methods are Northrop Corporation, Hawthorne, California for the Air Force Flight
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