Design Optimization of a Regional Transport Aircraft with Hybrid Electric Distributed Propulsion Systems
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The Vortex Lattice Method . for the Rotor-Vortex Interaction Problem
NASA CONTRACTOR NASA CR-2421 REPORT - THE VORTEX LATTICE METHOD . FOR THE ROTOR-VORTEX INTERACTION PROBLEM by Raghuveera Padakannaya Prepared by THE PENNSYL VANIA ST ATE UNIVERSITY University Park, Pa. 16802 for Langley Research Center NATIONAL AERONAUTICS AND SPACE ADMINISTRATION • WASHINGTON, D. C. • JULY 1974 1. Report No. , I 2. Government Accession No. 3. Recipient's Catalog No. CR-Z4Z1 4. TItle and Subtitle 5. Report Date THE VORTEX LATTICE METHOD FOR THE ROTOR-VORTEX JULY 1974 INTERACTION PROBLEM 6. Performing Organization Code 7. Author(s) 8. Performing Organization Report No. Raghuveera Padakannaya 1-------------------------------1 10. Work Unit No. g. Performing Organization Name and Address The Pennsylvania State University 11. Contract or Grant No. University Park, PA 16802 NGR - 39 - 009 - 111 ~------------------------------I13. Type of Report and Period Covered 12. Sponsoring Agency Name and Address Contractor Report National Aeronautics and Space Administration 14. Sponsoring Agency Code Washington, D.C. 20546 15. Supplementary Notes Topical report 16. Abstract This study is concerned with the rotor blade-vortex interaction problem and the resulting impul sive airloads which generate undesirable noi se level s. A numerical 1ifting surface method to predict unsteady aerodynamic forces induced on a finite aspect ratio rectangular wing by a straight, free vortex placed at an arbitrary angle in a subsonic incompressible free stream is developed first. Using a rigid wake assumption, the wake vortices are assumed to move down steam with the free steam velocity. Unsteady load.distributions are obtained which compare favorably with the results of planar lifting surface theory. The vortex lattice method has been extended to a single bladed rotor operating at high advance 'ratios aodeocc)untering a ft:eevottex from afixed.wing upstream of the rotor. -
Vortex-Lattice Utilization
NASA SP-405 VORTEX-LATTICE UTILIZATION (NRSA-5P-405) V3BTZX- LATTIZZ UTILIZF.TION N76-28163 (?iASA) 409 p HC 611.Ci0 CSCL 31A THRU N76-28186 rn Unclas .- H1/02 47615 A workshop held at LANGLEY RESEARCH CENTER Hampton, Virginia May 17-18, 1976 I NATIONAL AERONAUTICS AND SPAC ERRATA NASA SP-405 VORTEX-LATTICE UTILIZATION Page 231: Figure 6 is in error. Replace figure 6 with the following corrected version. Figure 6.- Span load and section suction distributions on a swept and skewed wing. h = 45O; A = 1; M = 0. NASA SP-405 VORTEX-LATTICE UTILIZATION A workshop held at Langley Research Center, Hampton, Virginia, on May 17-18, 1976 Prepared by Lungley Research Center Srietrlifir and Terhnirnl lrlformdtion Ofice !9'h u 5. b. NATIONAL AERONAUTICS AND SPACE ADMINISTRATION Washington, D.C. CONTENTS PREFACE ..................................iii o)tl/7- . 1. HISTORICAL EVOLUTION OF VORTEX-LATTICE METHODS ............ 1 j. John DeYoung, Vought Corporation Hampton Technical Center - SESSION I - CONFIGURATION DESIGN AND ANALYSIS AND WALL EFFECTS Chairman: Percy J. Bobbitt, NASA Langley Research Center A. WING-BODY COMBINATIONS 2. SUBSONIC FINITC ELEMENTS FOR WING-BODY COMBINATIONS ......... 11 James L. Thomas, NASA Langley Research Center 3. EXTENDED APPLICATIONS OF THE VORTEX LATTICE METHOD ......... 27 Luis R. Miranda, Lockheed-California Company B. NONPLANAR CONFIGURATIONS 4. WMERICAL METHOD TO CALCULATE THE INDUCED DRAG OR OPTIMUM LOADING FOR ARBITRARY NON-PLANAR AIRCRAFT ................. 49 James A. Blackwell, Jr., Lockheed-Georgia Company 5. OPTIMIZATION AND DESIGN OF THREE-DIMEKSIONAL AERODYNAMIC CONFIGURATIONS OF ARBITRARY SHAPE BY A VORTEX LATTICE METHOD .............................. 71 Wlnfried M. Feifel, The Boeing Company 6. -
Unsteady Lift Prediction with a Higher-Order Potential Flow Method
aerospace Article Unsteady Lift Prediction with a Higher-Order Potential Flow Method Julia A. Cole 1,* , Mark D. Maughmer 2, Goetz Bramesfeld 3, Michael Melville 3 and Michael Kinzel 4 1 Mechanical Engineering, Bucknell University, 1 Dent Dr., Lewisburg, PA 17837, USA 2 Aerospace Engineering, The Pennsylvania State University, 229 Hammond Bldg, University Park, PA 16802, USA; [email protected] 3 Aerospace Engineering, Ryerson University, 350 Victoria St., Toronto, ON M5B 2K3, Canada; [email protected] (G.B.); [email protected] (M.M.) 4 Mechanical and Aerospace Engineering, University of Central Florida, P.O. Box 162450, Orlando, FL 32816, USA; [email protected] * Correspondence: [email protected] Received: 24 April 2020; Accepted: 18 May 2020; Published: 21 May 2020 Abstract: An unsteady formulation of the Kutta–Joukowski theorem has been used with a higher-order potential flow method for the prediction of three-dimensional unsteady lift. This study describes the implementation and verification of the approach in detail sufficient for reproduction by future developers. Verification was conducted using the classical responses to a two-dimensional airfoil entering a sharp-edged gust and a sinusoidal gust with errors of less than 1% for both. The method was then compared with the three-dimensional unsteady lift response of a wing as modeled in two unsteady vortex-lattice methods. Results showed agreement in peak lift coefficient prediction to within 1% and 7%, respectively, and mean agreement within 0.25% for the full response. Keywords: unsteady aerodynamics; potential flow; applied aerodynamics 1. Introduction 1.1. Motivation In previous work [1–4], the authors developed a time-stepping potential flow method that uses higher-order vorticity elements to represent lifting surfaces and wakes. -
A Generalized Vortex Lattice Method for Subsonic and Supersonic Flow Applications
https://ntrs.nasa.gov/search.jsp?R=19780008059 2020-03-22T05:30:34+00:00Z NASA Contractor Report 2865 A Generalized Vortex Lattice Method for Subsonic and Supersonic Flow Applications Luis R. Miranda, Robert D. Elliott, and William M. Baker ,8 J CONTRACT NAS 1-12972 DECEMBER 1977 N/ /X NASA Contractor Report 2865 A Generalized Vortex Lattice Method for Subsonic and Supersonic Flow Applications Luis R. Miranda, Robert D. Elliott, and William M. Baker Lockheed-California Company Burbank, California Prepared for Langley Research Center under Contract NAS1-12972 National Aeronautics and Space Administration Scientific end Technical Information Office 1977 TABLE OF CONTENTS Page LIST OF ILLUSTRATIONS ......................... iv SUMMARY ............................... i INTRODUCTION ............................. i THEOP_TICAL DISCUSSION ........................ 3 The Basic Equations ....................... 3 Extension to Supersonic Flow ................. 5 The Skewed-Horseshoe Vortex ................. 9 Modeling of Lifting Surfaces with Thickness .......... 14 Modeling of Fusiform Bodies ................... 15 Computation of Sideslip Effects ................. 17 THE GENERALIZED VORTEX LATTICE METHOD ................. 18 Description of Computational Method ............... 18 Numeric 8.1 Considerations .................... 2O COMPARISON WITH OTHER THEORIES AND EXPERIMENTAL RESULTS ........ 21 CONCLUDING REMARKS ......................... 22 APPENDIX A USER'S MANUAL FOR A GENERALIZED VORTEX LATTICE METHOD FOR SUBSONIC AND SUPERSONIC FLOW APPLICATIONS -
A Comparison of Euler Finite Volume and Supersonic Vortex Lattice Methods Used During the Conceptual Design Phase of Supersonic Delta Wings
A Comparison of Euler Finite Volume and Supersonic Vortex Lattice Methods used during the Conceptual Design Phase of Supersonic Delta Wings THESIS Presented in Partial Fulfillment of the Requirements for the Degree Master of Science in the Graduate School of The Ohio State University By Daniel Guillermo-Monedero, B.S. Graduate Program in Aeronautical and Astronautical Engineering The Ohio State University 2020 Master’s Examination Committee: Dr. Clifford A. Whitfield, Advisor Dr. Richard J. Freuler Dr. Matthew H. McCrink 1 Copyrighted by Daniel Guillermo-Monedero 2020 2 Abstract This thesis uses two different methods to analyze wings in supersonic flows with a focus on preliminary design. The primary goals of this study are to compare the Euler equations finite volume method and supersonic vortex lattice method in predicting surface pressure on wings, and to develop a low-order supersonic vortex lattice method as a baseline tool that can be extended for further wing design and analysis. The supersonic vortex lattice method uses vortical sources to model the flow on the boundary, which replicates the aerodynamic shape of interest, in an inviscid and irrotational flow field and obtain solutions. The Euler equations of flow can be discretized using finite volume methods and can be integrated over the volume of interest and solutions can be obtained over the surface. These mathematically similar methods have a lot of differences in their numerical formulations, which can be critical in the design and analysis of wings. Hence, it is important to understand the key differences of these in order to develop a reliable baseline low-order design tool. -
Aerodynamics of 3D Lifting Surfaces Through Vortex Lattice Methods
6. Aerodynamics of 3D Lifting Surfaces through Vortex Lattice Methods 6.1 An Introduction There is a method that is similar to panel methods but very easy to use and capable of providing remarkable insight into wing aerodynamics and component interaction. It is the vortex lattice method (vlm), and was among the earliest methods utilizing computers to actually assist aerodynamicists in estimating aircraft aerodynamics. Vortex lattice methods are based on solutions to Laplace’s Equation, and are subject to the same basic theoretical restrictions that apply to panel methods. As a comparison, vortex lattice methods are: Similar to Panel methods: • singularities are placed on a surface • the non-penetration condition is satisfied at a number of control points • a system of linear algebraic equations is solved to determine singularity strengths Different from Panel methods: • Oriented toward lifting effects, and classical formulations ignore thickness • Boundary conditions (BCs) are applied on a mean surface, not the actual surface (not an exact solution of Laplace’s equation over a body, but embodies some additional approximations, i.e., together with the first item, we find DCp, not Cpupper and Cplower) • Singularities are not distributed over the entire surface • Oriented toward combinations of thin lifting surfaces (recall Panel methods had no limitations on thickness). Vortex lattice methods were first formulated in the late ’30s, and the method was first called “Vortex Lattice” in 1943 by Faulkner. The concept is extremely simple, but because of its purely numerical approach (i.e., no answers are available at all without finding the numerical solution of a matrix too large for routine hand calculation) practical applications awaited sufficient development of computers—the early ’60s saw widespread adoption of the method. -
A Review of Aerodynamic Flow Models, Solution Methods and Solvers – and Their Applicability to Aircraft Conceptual Design Literature Study Report
A review of aerodynamic flow models, solution methods and solvers – and their applicability to aircraft conceptual design Literature study report B. Peerlings November 1, 2018 Delft University of Technology A review of aerodynamic flow models, solution methods and solvers – and their applicability to aircraft conceptual design Literature study report by B. (Bram) Peerlings in partial fulfilment of the requirements for the degrees of Master of Science in Aerospace Engineering Student number 4079388 Project duration June 4, 2018 – September 5, 2018 October 8, 2018 – November 1, 2018 Department Flight Performance & Propulsion, faculty of Aerospace Engineering Supervisor dr. ir. R. Vos Electronic versions of this document suitable for screen and print are available at bram.peerlings.me/en/literature-study/, using the password ‘AE4020-2018’. Contents Preface v Summary vii List of figures ix List of tables xi List of abbreviations xiv List of symbols xviii 1 Introduction 1 2 Overview of flow models 3 2.1 Navier-Stokes equations . 5 2.1.1 Direct numerical simulation (DNS). 8 2.1.2 Large eddy simulation (LES). 8 2.1.3 Unsteady Reynolds-averaged Navier-Stokes equations (URANS) . 8 2.1.4 Reynolds-averaged Navier-Stokes equations (RANS) . 9 2.1.5 Thin-layer Navier-Stokes equations (TLNS). 9 2.1.6 Turbulence modelling . 10 2.2 Boundary layer equations . 10 2.3 Euler equations . 11 2.4 Full potential equation . 12 2.5 Linearised potential equation . 13 2.6 Laplace’s equation . 14 2.7 Empirical methods . 14 3 Overview of solution methods 15 3.1 Non-linear solution methods . 15 3.1.1 Finite difference methods (FDM). -
Unsteady Aerodynamic Vortex Lattice of Moving Aircraft
Unsteady Aerodynamic Vortex Lattice of Moving Aircraft September 30, 2011 Master thesis Supervisors: Author: Arthur Rizzi Enrique Mata Bueso Jesper Oppelstrup Aeronautical and Vehicle engineering department, KTH, Kungliga Tekniska H¨ogskolan SE-100 44 Stockholm, Sweden Contents 1 Introduction 1 1.1 CEASIOM............................................1 1.2 TORNADO, a brief overview..................................3 1.3 Linear Aerodynamics.......................................5 1.3.1 Steady Aerodynamics..................................6 1.3.2 Quasi-steady Aerodynamics...............................7 1.3.3 Unsteady Aerodynamics.................................7 2 Vortex Lattice Method9 2.1 Basics of fluid dynamics.....................................9 2.1.1 Kinematic concepts................................... 10 2.1.2 The Continuity Equation................................ 10 2.1.3 Bernoulli equation.................................... 11 2.2 Potential Flow Theory...................................... 11 2.2.1 Kelvin's circulation theorem............................... 11 2.2.2 Helmholtz theorems................................... 12 2.2.3 Kutta-Joukowsky theorem................................ 12 2.2.4 Boundary conditions................................... 13 2.2.5 Biot-Savart's Law.................................... 13 2.2.6 Horseshoe vortex..................................... 14 2.2.7 Vortex Rings....................................... 15 2.3 Classical Vortex Lattice Method................................ 15 2.4 Unsteady VLM, theoretical -
Vortex Lattice Modelling of Winglets on Wind Turbine Blades
RIS0 Vortex Lattice Modelling of Winglets on Wind Turbine Blades Mads D0ssing Ris0-R-1621(EN) Ris0 National Laboratory Technical University of Denmark Roskilde, Denmark August 2007 Author: Mads Dossing Ris0-R-1621(EN) Mek-FM-EP 2007-04 Title: Vortex Lattice Modelling of Winglets on Wind Turbine August 2007 Blades Departments: Wind Energy Department - Riso & Department of Mechanical Engineering - DTU 3rd version. 18 oct. 2007 Abstract: ISSN 0106-2840 The power production of wind turbines can be increased by ISBN 978-87-550-3633-8 the use of winglets without increasing the swept area. This makes them suitable for sites with restrictions in rotor diameter and in wind farms. The present project aims at understanding how winglets influences the flow and the aerodynamic forces on wind turbine blades. A free wake vortex lattice code and a fast design algorithm for a horizontal axis wind turbine under steady conditions has been developed. 2 winglet designs are threated in detail. Information Service Department Riso National Laboratory Technical University of Denmark P.O.Box 49 DK-4000 Roskilde Denmark Telephone +45 46774004 biblfgirisoe.dk Fax +45 46774013 www.risoe.dk Summary The power production of wind turbines can be increased by the use of winglets without increasing the swept area. This makes them suitable for sites with restrictions in rotor diameter and in wind farms. The present project aims at understanding how winglets influences the flow and the aerodynamic forces on wind turbine blades. A free wake vortex lattice code and a fast design algorithm for a horizontal axis wind turbine under steady conditions has been developed. -
Unsteady Nonlinear Panel Method with Mixed Boundary Conditions
Unsteady Nonlinear Panel Method with Mixed Boundary Conditions A new panel method had been developed to account for unsteady non- linear subsonic flow. Two boundary conditions were used to solve the potential flow about complex configurations of airplanes. Dirichlet boundary condition and Neumann formulation are frequently applied to the configurations that have thick and thin surfaces respectively. Mixed boundary conditions were used in the present work to simulate the connection between thick fuselage and thin wing surfaces. The matrix of linear equations was solved every time step in a marching technique with Anmar Hamid Ali Kelvin’s theorem for the unsteady wake modeling. To make the method Lecturer closer to the experimental data, a Nonlinear stripe theory which is based Aeronautical Engineering Department University of Baghdad, Baghdad on a two-dimensional viscous-inviscid interaction method for each station Iraq along the wing spanwise direction and Prandtle-Glauert rule for compressibility effect were used to enhance the potential results of the method. The fast turnaround time and the ability to model arbitrary geometries is the goal of the present work. Different airplanes configurations were simulated (DLR-F4, light jet, cargo and four engine commercial airplanes). The results of pressure and forces coefficients were compared with the DLR-F4 airplane. The comparisons showed a satisfying agreement with the experimental data. The method is simple and fast as compared with other singularity methods, which may be dependent as a preliminary method to design aircrafts. Keywords: (Unsteady Panel Method, Wake Rollup, Potential flow, Non- Linear LLT) 1. INTRODUCTION promise of Navier-Stokes solvers, accurate viscous drag prediction remained an elusive task.