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Raymer Annotations
 

 

 

Dan Raymer's book "Aircraft Design: A Conceptual Approach" is the textbook for many aircraft design capstone undergraduate courses.  It covers almost all aspects of conceptual design, including initial sizing, configuration layout, aerodynamics, propulsion, stability & control, mass properties, and structures and materials. The notes appended here provide some cross-references and annotations.

Characteristics of the standard atmosphere are listed in Appendix B.  However, a procedure for calculating the characteristics of the atmosphere at an arbitrary altitude is not described in the book.  If a spreadsheet is used to simulate the mission, a knowledge of pressure, density, temperature and the speed of sound is essential for mission analysis.  A description of the atmosphere up to the top of the stratosphere (about 65,600 ft), can be found here, along with an accompanying Excel spreadsheet.  There are also websites where the calculations can be performed, such as http://www.digitaldutch.com/atmoscalc/.

Raymer's website (www.aircraftdesign.com) also contains a cornucopia of useful information, plus links to other websites.

Key Benefits

bulletThese annotations provide cross references to other textbooks such as those of Nicolai, Roskam, McCormick and Torenbeek.
bulletThey assist the student in understanding the text, and provide additional complementary analysis.

Terminology

These annotations use the same terminology as for Raymer's text, with a few exceptions.  There is one particular area where Raymer's definitions can (and do) cause some confusion with students.  This area is the terminology of components of drag due to lift.  Raymer defines drag due to lift and induced drag as being one and the same thing.  On page 307 he states that "Drag forces that are a strong function of lift are known as induced drag or drag due to lift".  However, McCormick (p.186) makes the observation that "Strictly speaking, this definition of CDi {induced drag] is not correct.  Although it has become practice to charge to CDi any drag increase associated with CL, some of this increase results from the dependency of the parasite drag on the angle of attack.  What, then, is a more precise definition of CDi?  Very simply, the induced drag at a given CL can be defined as the drag that the wing would experience in an inviscid flow at the same CL."  This is a good enough definition, ignoring for a moment the problem that a wing could experience neither lift nor drag in an inviscid flow because the Kutta condition at the trailing edge would not be met.

These annotations more closely follow the definitions in Nicolai (pp. 11-7 to 11-9), in which drag due to lift is broken down into two parts:

bulletViscous drag due to lift, which in turn is comprised of incremental skin friction drag due to lift and incremental pressure and separation drag due to lift.  Increased local velocities on the upper surface of the wing due to increase in circulation result in additional skin friction drag. Changes in boundary layer thickness and separation also increase pressure drag.  These effects are manifest in airfoil section drag polars (such as those shown in Raymer Appendix D).
bulletInviscid drag due to lift, in which wing tip vortices induce a downwash on the wing, causing the local lift vector to be tilted aft.  If the local lift vector is then resolved normal to and parallel to the free stream flow, an additional drag component appears, which is defined in these annotations to be induced drag.  In these annotations (although not in Raymer's text), induced drag therefore excludes the effects of viscous drag due to lift. 

Viewing Documents on this Website

Most documents on this website are in portable document format (pdf) and may be viewed using Adobe Reader.

Typographical Errors

Every textbook has some typographical errors.  Raymer's text has its share, and here are some corrections.

 

The Avro Vulcan (left) and Boeing B-47 (right) were designed for similar missions, but designers took very different approaches.  The British favored buried engines for reduced skin friction drag (e.g Handley Page Victor, Vickers Valiant, de Havilland Comet) and delta wing.  Boeing favored podded engines on a high aspect ratio wing.  This was the forerunner of all long-range commercial aircraft designs.

Organization

Annotations are organized by chapter and section, following Raymer's numbering system and section titles.  Not all sections are annotated.  Within each annotation both figures and equations are numbered by chapter and section [e.g. Eq. (17.2.3)], rather than just by chapter (as in Raymer), so that they will be differentiated from Raymer's figures and equations.  Click on a link below to go to the annotation for that section.  Linked section annotations are in portable document format (pdf). Additional notes are supplied here that provide links to other webs.

Chapter 1   Design - A Separate Discipline  
Chapter 2   Overview of the Design Process  
Chapter 3   Sizing from a Conceptual Sketch  
     3.3  Empty-Weight Estimation
bulletLinear relationships between Takeoff Gross Weight (TOGW) and Empty Weight (EW) correlate equally well with exponential relationships, and are more intuitive.
     3.4  Fuel Fraction Estimation
bulletThe Avro Vulcan has a minimum drag coefficient that is much lower than that of the B-47, but the maximum L/D is about the same.  Drag polars illustrate how this can happen. 
bulletMaximum L/D can be estimated analytically based only on wing span and aircraft wetted area.  Results correlate well with aircraft data.
bulletDerivation of fuel fraction allowances is explained.
     3.5 Takeoff-Weight Calculation
bulletAn alternative method is described for estimating TOGW to fulfill a mission.  It is more intuitive than the method described in Raymer's book, and provides graphical insights into the sensitivity of TOGW to fixed weights.
     3.6  Design Example:  ASW Aircraft
bulletThe sensitivity of TOGW to fixed weights can be derived analytically.  An example is provided for a Boeing 707-320.
Chapter 4   Airfoil and Geometry Selection  
      4.2  Airfoil Selection
bulletDrag due to lift has two components:  inviscid drag due to lift (or induced drag), and viscous drag due to lift.  2-D airfoils exhibit viscous drag due to lift, but not induced drag.
bulletAirfoil maximum L/D may, or may not, occur at the same lift coefficient as an airplane whose wing has the same airfoil section.
     4.5  Tail Geometry and Arrangement
bulletSelection of design parameters for the horizontal and vertical stabilizer involves many tradeoffs, including that of whether the design looks stylish.
Chapter 5   Thrust-to-Weight Ratio and Wing Loading  
     5.3  Wing Loading
bulletThe required maximum wing lift coefficient depends many factors, such as landing field length, type of mission, and weight and maintenance of flap systems. An example is given of how a change in mission resulted in a redesign of the flap system for the Boeing 747.
bulletFor a given rate of climb at a specified speed and altitude, a value of wing loading (W/S) exists for which the required thrust/weight ratio (T/W) is a minimum.  If speed is a variable, required T/W is independent of W/S.
     5.4  Selection of Thrust to Weight and Wing Loading
bulletChapter 5 contains enough information to generate a performance constraint plot (or sizing matrix plot) to enable a first estimation of required T/W and W/S.
Chapter 6   Initial Sizing  
Chapter 7   Configuration Layout and Loft  
     7.4  Conic Fuselage Development  
bulletThe value of the conic shape parameter for a circular arc can proven to be 0.4142.  The procedure for fuselage conic lofting is summarized.
     7.8  Wing/Tail Layout and Loft
bulletDifficulties with adding winglets to an existing wing design are described.  New winglet shapes will alleviate these difficulties.
Chapter 8   Special Considerations in Configuration Layout  
Chapter 9   Crew Station, Passengers, and Payload  
Chapter 10 Propulsion and Fuel System Integration  
Chapter 11 Landing Gear and Subsystems  
Chapter 12 Aerodynamics  
     12.2  Aerodynamic Forces
bulletThe definition of induced drag in these annotations is different from the textbook.  The revised definition also requires some revisions to the definitions in Figure 12.2.
     12.3  Aerodynamic Coefficients
bulletA drag count is the drag coefficient X104.  Always show drag coefficients to four decimal places.
     12.5  Parasite (Zero-Lift) Drag
bulletA simple tabular method is described for calculating airplane zero-lift drag.
     12.6  Drag due to Lift (Induced Drag)
bulletMore detailed methods are available for calculating Oswald efficiency factor that include fuselage effects.
bulletAt high supersonic and hypersonic Mach numbers, the induced drag factor (K) becomes two-dimensional (independent of aspect ratio) because most of the flow over the wing is not affected by the existence of wing tips.
Chapter 13 Propulsion  
      13.6  Piston Engine Performance
bulletEquation 13.14 (requiring an integral) will calculate propeller activity factor.  John Lowry has prepared a spreadsheet that will do the calculation (provided that the required data is input) which is available http://www.avweb.com/news/airman/182418-1.html?type=pf.
bulletFigure 13.11 shows the ratio of thrust coefficient to power coefficient (CT/CP) for one design case.  For additional activity factors, blade design CL, and number of blades, a pdf from Lan & Roskam can be found here.
bulletFigure 13.12 shows CP for one design case.  For additional activity factors, blade design CL, and number of blades, (pdfs are also from Lan & Roskam),  click here for 3-bladed propellers, and here for 4-blades propellers.
Chapter 14 Structures and Loads  
Chapter 15 Weights  
Chapter 16 Stability, Control, and Handling Qualities  
      16.3  Longitudinal Static Stability and Control
bulletA configuration that is statically stable must have two characteristics:  the derivative of the pitching moment coefficient with respect to angle of attack must be negative, and the forward and aft lifting surfaces must exhibit décalage.
bulletHorizontal stabilizer sizing requires use of a "notch chart" to find the minimum horizontal stabilizer area that will meet all the static longitudinal control requirements.
     16.4  Lateral-Directional Static Stability and Control
bulletSizing the vertical stabilizer requires either meeting a required Cnβ or maintaining directional control when an engine fails on a multi-engined airplane.
Chapter 17 Performance and Flight Mechanics  
     17.2 Steady Level Flight
bulletProcedures for finding speed and lift coefficient for maximum L/D are described.
bulletFor a highly cambered airfoil, finding the lift coefficient for maximum L/D is a bit more involved than for a symmetric airfoil.
bulletCruise optimization using step-climb techniques are used in mission analysis programs.
bulletWorldwide wind data are available for input to mission analysis programs.
     17.3 Steady Climbing and Descending Flight
bulletFAR Part 25 has specific climb requirements after takeoff.  These must be calculated for different flight conditions with landing gear and flaps up or down.
     17.6 Energy-Maneuverability Methods
bulletJust two equations (or one if they are combined) are needed to calculate constraint lines on a T/W versus W/S plot for almost all aerial maneuvers.
Chapter 18 Cost Analysis  
     18.7 Aircraft and Airline Economics
bulletAn updated method for calculating Direct Operating Cost plus Interest (DOC+I) is provided.  This is based on a method by Bob Liebeck with coefficients inflation-adjusted from a base of 1993 to 2009 values.
Chapter 19 Sizing and Trade Studies  
     19.3 Improved Conceptual Sizing Methods
bulletEq. (19.8) can be derived from equations in Chapter 17.  Rate of climb is normally performed at a constant indicated airspeed until an optimum cruise Mach number is reached.
Chapter 20 Vertical Flight - Jet and Prop  
Chapter 21 Extremes of Flight  
Chapter 22 Design of Unique Aircraft Concepts  
Chapter 23 Conceptual Design Examples     
Appendix A: Unit Conversion  
Appendix B: Standard Atmosphere  
Appendix C: Airspeed  
Appendix D: Airfoil Data  
Appendix E: Typical Engine Performance Curves  
Appendix F: Design Requirements and Specifications
bulletCalculation of FAR Part 36 Noise Calculations is computationally intensive.  This PowerPoint presentation describes the basic procedures but does not provide sufficient information to calculate noise levels for a specific configuration.
bulletFor a specific configuration, see the example procedure in the notes for the AIAA 2008-2009 competition.
bulletSome changes to FAR Part 25 in values and definitions were made in 1996. An update to Table F.4 to reflect these changes is included in the Annotations to Section 17.3.
   
   

References

In these annotations, references will usually be described by author.  Some references are provided at the end of the section:

Hoerner                        Hoerner, S.F., "Fluid-Dynamic Drag", Hoerner Fluid Dynamics, 1965.

Lan & Roskam                Lan, C-T. E., and Roskam, J., "Airplane Aerodynamics and Performance, First Edition", The University of Kansas, 1980. Note: A second edition has been published.        

McCormick                    McCormick, B. W., "Aerodynamics, Aeronautics, and Flight Dynamics", John Wiley & Sons, 1979.

Nicolai                          Nicolai, L., "Fundamentals of Aircraft Design", METS Inc, 1975.

Shevell                         Shevell, R., "Fundamentals of Flight, Second Edition", Prentice Hall, 1983.

Torenbeek                    Torenbeek, E., "Synthesis of Subsonic Airplane Design", Delft University Press, 1982. 

All of these books (and more listed in the bibliography to this website) should be owned by an aspiring aircraft designer.

References will also be made to the Federal Aviation Regulations (officially known as 14 CFR, or Title 14 of the Code of Federal Regulations).  Before this information was available online, an up-to-date copy could be found in every aerodynamics and performance department.  Make sure that you are viewing the FARs from the US Government website.  Other websites have copies, but they may not be current. 

 

Send mail to ahays@alum.mit.edu with questions or comments about this web site.
Last modified: 04/25/10