Performance of the Jet Transport Airplane :Analysis Methods, Flight Operations, and Regulations

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Chapter

References

2 Engineering Fundamentals

2.1 Introduction

2.2 Notation, Units, and Conversion Factors

2.2.1 Notation

2.2.2 Abbreviations and Symbols

2.2.3 Base Quantities and Dimensions

2.2.4 Units and Conversion Factors

2.2.5 Temperature Scales

2.2.6 Scalar and Vector Quantities

2.3 Mass, Momentum, Weight, and Gravity

2.3.1 Mass

2.3.2 Momentum

2.3.3 Weight

2.3.4 Gravitational Acceleration

2.3.5 Influence of an Aircrafts Motion on Its Apparent Weight

2.3.6 Actual Versus Standard Gravitational Acceleration

2.4 Basics of Rigid Body Dynamics

2.4.1 Newtons Laws of Motion

2.4.2 Rectilinear Motion

2.4.3 Motion With Respect to a Moving Datum (Reference System)

2.4.4 Curvilinear Motion

2.4.5 Newtons Second Law

2.4.6 Work

2.4.7 Power

2.4.8 Kinetic Energy

2.4.9 Potential Energy

2.5 Basics of Fluid Dynamics

2.5.1 Density, Specific Weight, and Specific Gravity

2.5.2 Pressure in Fluids At Rest

2.5.3 Mass Flow Rate and Continuity of Flow

2.5.4 Newtons Second Law Applied to Fluid Flow

2.5.5 Bernoulli Equation for Incompressible Flow and Dynamic Pressure

2.5.6 Ideal Gas Law

2.5.7 Specific Heats of a Gas

2.5.8 Adiabatic Processes

2.5.9 Speed of Sound and Mach Number

2.5.10 Total Temperature and Total Pressure

2.5.11 Bernoulli Equation for Compressible Flow

2.5.12 Viscosity

2.5.13 Reynolds Number

2.6 Further Reading

References

3 Aerodynamic Fundamentals

3.1 Introduction

3.2 Standard Definitions and Notation

3.2.1 Airfoil Section Definitions

3.2.2 Wing Geometric Definitions

3.2.3 Geometric Definitions for the Empennage

3.3 Coordinate Systems and Conventions

3.3.1 Coordinate Systems

3.3.2 Ground Axis System

3.3.3 Earth Axis System

3.3.4 Body Axis System

3.3.5 Flight Path (or Velocity or Wind) Axis System

3.3.6 Force and Moment Components

3.4 Aerodynamic Forces and Moments

3.4.1 Airfoil Pressure Distribution

3.4.2 Two-Dimensional Aerodynamic Forces and Coefficients

3.4.3 Two-Dimensional Lift Coefficient

3.4.4 Two-Dimensional Drag Coefficient

3.4.5 Two-Dimensional Aerodynamic Center and Pitching Moment

3.4.6 Three-Dimensional Aerodynamic Coefficients

3.4.7 Effects of Finite Span on the Lift Curve

3.4.8 Aerodynamic Center

3.4.9 Aerodynamic Effect of a Plain Flap

3.4.10 Aerodynamic Effect of a Slot in Multi-Element Airfoils

3.5 Compressibility

3.5.1 Incompressible Flow

3.5.2 Compressible Flow

3.5.3 Shocks and Transonic Flow

3.6 Boundary Layers

3.6.1 General Features of the Boundary Layer

3.6.2 Transition and Turbulent Boundary Layers

3.6.3 Skin Friction

3.6.4 Boundary Layer Separation

3.7 High Lift Devices

3.7.1 Requirement for High Lift

3.7.2 Trailing Edge Flaps

3.7.3 Leading Edge Devices

3.7.4 Lift-to-Drag Ratio

3.8 Controls for Pitch, Roll, and Yaw

3.8.1 Three-Axes Control

3.8.2 Pilots Primary Flight Controls

3.8.3 Pitch Control

3.8.4 Roll Control

3.8.5 Yaw Control

3.8.6 Trim Systems

3.8.7 Flight Control Systems

3.9 Further Reading

References

4 Atmosphere and Weather

4.1 Introduction

4.2 International Standard Atmosphere

4.2.1 Introduction to Standard Atmospheric Models

4.2.2 Principal Features of the ISA

4.2.3 Relative Temperature, Relative Pressure, and Relative Density

4.2.4 Temperature, Pressure, and Density in the ISA

4.3 Non-Standard and Off-Standard Atmospheres

4.3.1 Non-Standard Atmospheres

4.3.2 Off-Standard Atmospheres

4.3.3 Height Scales in Off-Standard Atmospheres

4.3.4 Determination of Density in Non-Standard Conditions

4.4 The Real Atmosphere

4.4.1 Introduction

4.4.2 Troposphere

4.4.3 Tropopause

4.4.4 Stratosphere

4.5 Weather

4.5.1 Impact on Airplane Performance

4.5.2 Wind Reporting and Forecasts

4.5.3 Wind Shear

4.5.4 Gusts

4.5.5 Temperature Inversions

4.5.6 Jet Streams

4.5.7 Precipitation and Icing

4.5.8 Visual and Instrument Meteorological Conditions

4.5.9 Weather Information for Flight Operations

4.6 Stability of the Atmosphere

4.6.1 Adiabatic Lapse Rate

4.6.2 Stable Atmospheres

4.6.3 Unstable Atmospheres

References

5 Height Scales and Altimetry

5.1 Introduction

5.2 Height Scales

5.2.1 Geometric Height

5.2.2 Geopotential Height

5.2.3 Pressure Height

5.2.4 Density Height

5.3 Altimetry

5.3.1 The Altimeter

5.3.2 QNE or Standard (STD) Setting

5.3.3 QNH Setting

5.3.4 QFE Setting

5.3.5 Illustration of Altimeter Settings

5.3.6 Altitude Correction: STD to QNH

5.3.7 Altitude Correction for Non-Standard Temperature Conditions

5.3.8 Instrument and Static Pressure Errors

5.4 Flight Levels, Tracks, and Airspace

5.4.1 Flight Level

5.4.2 Transition Altitude and Transition Level

5.4.3 Air Traffic Tracks and Usable Flight Levels

5.4.4 Airspace Classification

References

6 Distance and Speed

6.1 Introduction

6.2 Distance

6.2.1 Units of Measurement

6.2.2 Air Distance

6.2.3 Ground Distance

6.2.4 Great Circle Distance

6.2.5 Rhumb-Line Distance

6.3 True Airspeed, Ground Speed, and Navigation

6.3.1 True Airspeed

6.3.2 Ground Speed and Navigation

6.3.3 Speed Measurement

6.4 Speed of Sound and Mach Number

6.4.1 Speed of Sound

6.4.2 Mach Number

6.5 Dynamic Pressure and Equivalent Airspeed

6.5.1 Dynamic Pressure

6.5.2 Equivalent Airspeed

6.6 Calibrated Airspeed

6.6.1 Definition

6.6.2 Pitot–Static System

6.6.3 Compressibility Correction Factor

6.6.4 Expressions for Calibrated Airspeed

6.7 Indicated Airspeed

6.7.1 Instrument Indicated Airspeed

6.7.2 Indicated Airspeed

6.8 Relationship Between Airplane Speeds

6.8.1 Summary of Airplane Speeds

6.8.2 Speed Variation During a Constant CAS Climb

References

7 Lift and Drag

7.1 Introduction

7.2 Airplane Lift

7.2.1 Airplane Lift and Lift Coefficient

7.2.2 Lift Coefficient Versus Angle of Attack

7.2.3 Lift Coefficient in Straight, Level (i.e., Constant Height) Flight

7.2.4 Influence of CG on the Lift Curve

7.2.5 Lift Coefficient in Maneuvering Flight

7.2.6 Lift Coefficient in Cruise

7.2.7 Lift Coefficient in Takeoff and Landing

7.3 Airplane Drag

7.3.1 Drag Coefficient

7.3.2 Drag Breakdown

7.3.3 Wing Vortex Drag

7.3.4 Lift-Dependent Drag

7.4 Drag Polar

7.4.1 Introduction

7.4.2 Typical Drag Versus Lift Relationship

7.4.3 Low-Speed Drag Polars

7.4.4 High-Speed (Transonic) Drag Polars

7.4.5 Effect of Camber and Wing Twist on the Drag Polar

7.4.6 Drag Polar Represented by the Sum of Two Parabolic Segments

7.4.7 Drag Polars with Higher-Order Terms

7.4.8 Drag Polars: Concluding Remarks

7.5 Drag Polar Corrections

7.5.1 Correction Factors

7.5.2 Influence of Aircraft Configuration on the Drag Polar

7.5.3 Longitudinal Trim Drag and Center of Gravity Location

7.5.4 Powerplant Considerations

7.5.5 Drag Increments Due to Inoperative Engine(s)

7.5.6 Ground Effect and Its Influence on the Drag Polar

7.5.7 Excrescence Drag and Drag “Growth”

7.5.8 Atmospheric Conditions (Reynolds Number Correction)

7.5.9 Aeroelastic Wing Shape Change

7.6 Lift-to-Drag Ratio

7.6.1 Definition

7.6.2 Maximum Lift-to-Drag Ratio

7.6.3 Maximum Lift-to-Drag Ratio Based on the Parabolic Drag Polar

7.7 Minimum Drag Condition

7.7.1 Definition

7.7.2 Minimum Drag Based on the Parabolic Drag Polar

7.8 Minimum Drag Power (Required Power) Condition

7.8.1 Definition

7.8.2 Minimum Drag Power Based on the Parabolic Drag Polar

7.9 Minimum Drag-to-Speed Ratio Condition

7.9.1 Definition

7.9.2 Minimum Value of the Drag-to-Speed Ratio

7.9.3 Minimum Value of the Drag-to-Speed Ratio Based on the Parabolic Drag Polar

7.9.4 Concluding Remarks—Minimum Value of the Drag-to-Speed Ratio

7.10 Summary of Expressions Based on the Parabolic Drag Polar

References

8 Propulsion

8.1 Introduction

8.2 Basic Description of the Turbofan Engine

8.2.1 Basic Principle of Operation

8.2.2 Main Engine Components and Systems

8.2.3 Station Identification

8.2.4 Thermodynamic Cycle

8.2.5 Gas Temperatures

8.2.6 Gas Pressures

8.2.7 Mass Flow and Bypass Ratio

8.2.8 Engine Rotor Speeds

8.2.9 Corrected Engine Parameters

8.2.10 Indicated Engine Parameters

8.3 Engine Thrust

8.3.1 Basic Thrust Equation for a Turbojet Engine

8.3.2 Basic Thrust Equation for a Turbofan Engine

8.3.3 Influence of Airplane Speed

8.3.4 Generalized Thrust Functions

8.3.5 Overall Engine Efficiency

8.3.6 Specific Thrust

8.4 Fuel Flow and Thrust Specific Fuel Consumption

8.4.1 Fuel Flow Definitions

8.4.2 Thrust Specific Fuel Consumption

8.4.3 Cruise TSFC Variation

8.4.4 Corrected Fuel Flow

8.5 Thrust Control, Engine Design Limits, and Ratings

8.5.1 FADEC

8.5.2 Thrust Control

8.5.3 Thrust Setting Parameters

8.5.4 Engine Design Limitations

8.5.5 Standard Thrust Ratings

8.5.6 Design of Engine Rating Structure

8.5.7 Engine Setting Parameters for Rated Thrust

8.5.8 Takeoff Thrust Bump

8.5.9 Reduced and Derated Takeoff Thrust

8.5.10 Idle Thrust

8.6 Thrust Variation

8.6.1 Functional Relationship and Performance Trends

8.6.2 Effect of Ambient Pressure

8.6.3 Effect of Ambient Temperature

8.6.4 Effect of Airplane Speed on Takeoff Thrust

8.6.5 Effect of Altitude and Speed on Climb Thrust

8.7 Fuel Flow and TSFC Variation

8.7.1 Functional Relationships and General Performance Trends

8.7.2 Fuel Flow Data and Models

8.7.3 TSFC Models and Idealizations

8.7.4 TSFC Variation with Engine Rotational Speed

8.8 Installation Losses and Engine Deterioration

8.8.1 Installation Effects

8.8.2 Intake (Inlet) Total Pressure Loss

8.8.3 Bleed Air Losses

8.8.4 Shaft Power Losses

8.8.5 Engine Deterioration

8.9 Further Reading

References

9 Takeoff Performance

9.1 Introduction

9.2 Takeoff Distances

9.2.1 Runway Surface Conditions

9.2.2 Required Runway Distances for Takeoff on a Dry or Wet Surface

9.2.3 All-Engines-Operating Takeoff Distance on a Dry Runway

9.2.4 One-Engine-Inoperative Takeoff Distance on a Dry Runway

9.2.5 Rejected Takeoff Distance Following an Engine Failure on a Dry Runway

9.2.6 All-Engines-Operating Rejected Takeoff Distance on a Dry Runway

9.2.7 One-Engine-Inoperative Takeoff and Rejected Takeoff Distances on a Wet Runway

9.3 Forces Acting on the Airplane During the Ground Run

9.3.1 Vector Diagram and Overview of the Forces Acting on an Airplane

9.3.2 Influence of Wind

9.3.3 Engine Thrust

9.3.4 Lift and Drag Forces

9.3.5 Airplane Configuration

9.3.6 Ground Effect

9.3.7 Rolling Friction

9.3.8 Net Acceleration Force

9.4 Evaluation of the Takeoff Distance from Brake Release to Rotation

9.4.1 Basic Equation for the Takeoff Distance sR

9.4.2 Determination of the Distance sR Assuming FN is Constant

9.4.3 Determination of the Distance sR Using a Mean Acceleration

9.4.4 Numerical Evaluation of the Distance sR

9.4.5 Estimation of the Time to Reach VR

9.5 Rotation and Climb-Out to Clear the Screen Height

9.5.1 Rotation and Flare

9.5.2 Estimation of the Rotation Distance

9.5.3 Energy Method to Estimate the Distance from Liftoff to 35ft

9.5.4 Time-Based Method to Estimate the Distance from Liftoff to 35ft

9.6 Empirical Estimation of Takeoff Distances

9.6.1 Introduction

9.6.2 Takeoff Parameter for All-Engines-Operating Condition

9.6.3 Takeoff Parameter for One Engine Inoperative

9.7 Evaluation of Rejected Takeoff Runway Distances

9.7.1 Regulations Regarding the Rejected Takeoff (RTO)

9.7.2 Requirements for the Accelerate–Stop Distance on a Dry Runway

9.7.3 Requirements for the Accelerate–Stop Distance on a Wet Runway

9.7.4 Evaluation of the Accelerate–Stop Distance

9.8 Wheel Braking

9.8.1 Brake System Design

9.8.2 Airplane Braking Coefficient

9.8.3 Slip and Anti-Skid Systems

9.8.4 Maximum Brake Torque Limit

9.8.5 Runway Pavement Construction

9.8.6 Wet Runway Conditions

9.8.7 Determination of the Braking Force

9.9 Takeoff on Contaminated Runways

9.9.1 Contaminated Runway Conditions

9.9.2 Contaminant Drag

9.9.3 Dynamic Hydroplaning

9.9.4 Estimating Takeoff and RTO Distances on Contaminated Runways

References

10 Takeoff Field Length and Takeoff Climb Considerations

10.1 Introduction

10.2 Takeoff Reference Speeds

10.2.1 Overview

10.2.2 Regulatory Definitions of Key Reference Speeds

10.2.3 V1 Speed

10.3 Takeoff Weight Limitations

10.3.1 Overview

10.3.2 Structural-Limited Weights and Certified Weights

10.3.3 Runway-Limited Takeoff Weights

10.3.4 Climb-Gradient-Limited Weights

10.3.5 Obstacle-Clearance-Limited Weights

10.3.6 Tire Speed Limit

10.3.7 Brake Energy Limit

10.3.8 Forward Center of Gravity Limit

10.3.9 Prevailing Wind

10.4 Runway Limitations and Data

10.4.1 Approved Runway Data

10.4.2 Runway Identification

10.4.3 Runway Slopes (Gradients)

10.4.4 Declared Runway Distances

10.4.5 Clearway

10.4.6 Stopway

10.4.7 Clearways and Stopways—Concluding Remarks

10.4.8 Line-Up Corrections (Allowances)

10.4.9 Runway (Pavement) Loading Limits

10.5 Operational Field Length and Runway-Limited Takeoff Weight

10.5.1 Field-Length-Limited TOW

10.5.2 Overview of Requirements

10.5.3 Balanced and Unbalanced Field Lengths

10.5.4 Operations from a Runway with a Clearway

10.5.5 Operations from a Runway with a Stopway

10.5.6 Permissible Range of V1 and TOW for a Given Field Length (Takeoff Web Chart)

10.6 Takeoff Climb Gradient Requirements

10.6.1 Takeoff Climb Gradient Requirements (FAR/CS 25.121)

10.6.2 Takeoff Path Requirements (FAR/CS 25.111)

10.6.3 Climb-Limited Takeoff Weight

10.7 Takeoff Climb Obstacle Clearance

10.7.1 Obstacle Clearance Requirements

10.7.2 Demonstrating Compliance with the Obstacle Clearance Requirements

10.7.3 Impact of Turns on Obstacle Clearance

10.7.4 Obstacle-Limited Takeoff Weight

10.8 Derated Thrust and Reduced Thrust Takeoff

10.8.1 Introduction

10.8.2 Derated Thrust

10.8.3 Regulatory Basis for Reduced Thrust Operations

10.8.4 Reduced Takeoff Thrust: Assumed Temperature Method

10.8.5 Derated Thrust and Reduced Thrust Takeoff Speeds

References

11 Approach and Landing

11.1 Introduction

11.2 Procedure for Approach and Landing

11.2.1 Approach

11.2.2 Landing Flare

11.2.3 Transition

11.2.4 Braking

11.2.5 Landing Distance

11.3 Forces Acting on the Airplane During the Ground Run

11.3.1 Vector Diagram and Forces Acting on the Airplane

11.3.2 Influence of the Wind

11.3.3 Thrust and Reverse Thrust

11.3.4 Lift and Drag Forces

11.3.5 Airplane Configuration

11.3.6 Ground Effect

11.3.7 Rolling Friction

11.3.8 Wheel Braking

11.3.9 Net Deceleration Force

11.4 Landing Distance Estimation

11.4.1 Total Landing Distance

11.4.2 Air Segment

11.4.3 Transition Segment

11.4.4 Braking Segment: Governing Equation

11.4.5 Braking Segment: Stopping Distance Estimation

11.5 Empirical Estimation of the Landing Distance

11.5.1 Introduction

11.5.2 Basic Relationship

11.6 Landing on Contaminated Runways

11.6.1 Runway Contaminants

11.6.2 Runway Condition Reporting

11.6.3 Determination of the Landing Distance

11.7 Flight Operations

11.7.1 Instrument Approach Systems

11.7.2 Approach Requirements

11.7.3 Runway Data

11.7.4 Regulatory Requirements for Landing

11.7.5 Certified Landing Distances

11.7.6 Factored Landing Field Lengths

11.7.7 Wind Considerations

11.7.8 Brake Heating Considerations

11.7.9 Runway Excursion

11.8 Rejected Landing

11.8.1 Discontinued Approach and Go-Around

11.8.2 Climb Requirements Following a Rejected Landing

References

12 Mechanics of Level, Climbing, and Descending Flight

12.1 Introduction

12.2 Basic Equations of Motion

12.2.1 Curvilinear Motion Applied to Airplane Flight

12.2.2 General Equations for Climb, Descent, and Level Flight

12.3 Performance in Level Flight

12.3.1 Level (Constant Height) Accelerated Flight

12.3.2 Level (Constant Height) Unaccelerated Flight

12.3.3 Graphical Representation of Steady-State Flight Performance

12.3.4 Speed Stability

12.4 Performance in Climbing Flight

12.4.1 Climb–Speed Schedules

12.4.2 Angle of Climb and Climb Gradient (Still Air Conditions)

12.4.3 Climb Angle and Climb Gradient for Constant-Speed Climb

12.4.4 Rate of Climb

12.4.5 Rate of Climb for Constant True Airspeed Climb

12.4.6 Best Rate-of-Climb Speed

12.4.7 Summary of Climb Speeds

12.4.8 Time to Climb

12.4.9 Distance Covered in the Climb (in Still Air)

12.4.10 Effect of Altitude on Climb Performance

12.4.11 Effect of Temperature on Climb Performance

12.4.12 Effect of Airplane Weight on Climb Performance

12.4.13 Effect of Uniform Wind on Climb Performance

12.4.14 Effect of Wind Gradients on Climb Performance

12.4.15 Effect of Up- or Downdrafts on Climb Performance

12.4.16 Effect of an Engine Failure on Climb Performance

12.5 Performance in Descending Flight

12.5.1 Angle of Descent and Descent Gradient

12.5.2 Rate of Descent

12.5.3 Time and Distance in Descent

12.5.4 Descent–Speed Schedules

12.5.5 Glide Angle for Unpowered Flight

12.6 Further Reading

References

13 Cruising Flight and Range Performance

13.1 Introduction

13.2 Specific Air Range and Still Air Range Determination

13.2.1 Distance and Speed Definitions

13.2.2 Specific Air Range

13.2.3 Still Air Range

13.2.4 Range Determination Based on Thrust Specific Fuel Consumption

13.2.5 Range Determination Based on Overall Engine Efficiency

13.3 Analytical Integration

13.3.1 Flight Schedules for Cruise Range Estimation

13.3.2 First Flight Schedule

13.3.3 Second Flight Schedule

13.3.4 Third Flight Schedule

13.3.5 Summary of Range Expressions and Concluding Remarks

13.4 Numerical Integration

13.4.1 Integrated Range Method

13.4.2 Example of Numerical Computation

13.4.3 Integrated Range Chart

13.5 Cruise Optimization Based on Aerodynamic Parameters

13.5.1 Introduction to Cruise Optimization

13.5.2 Flight Condition for Maximum Range: Solution

13.5.3 Range Optimization Based on the ME (i.e., ML/D) Parameter

13.5.4 Altitude-Constrained Optimum Based on the ME (i.e., ML/D) Parameter

13.5.5 Thrust-Constrained Optimum Based on the ME (i.e., ML/D) Parameter

13.5.6 Limitations of Optima Based on the ME (i.e., ML/D) Parameter

13.6 Best Cruise Speeds and Cruise Altitudes

13.6.1 Maximum Range Cruise Speed

13.6.2 Economy Cruise Speed

13.6.3 Long Range Cruise Speed

13.6.4 Comparison of Cruise Speeds

13.6.5 Optimum Altitude

13.7 Further Details on the Use of the Bréguet Range Equation

13.7.1 General Formulations

13.7.2 Constant-Altitude Cruise and the Use of Mean Values

13.7.3 Fuel Required for Specified Range

13.8 Influence of Wind on Cruise Performance

13.8.1 Specific Ground Range

13.8.2 Ground Range

13.8.3 Maximum Ground Range Speed

13.8.4 Optimum Cruise Speeds Based on Specific Ground Range

13.8.5 Wind Gradients and Wind–Altitude Trades

References

14 Holding Flight and Endurance Performance

14.1 Introduction

14.2 Basic Equation for Holding/Endurance

14.3 Analytical Integration

14.3.1 Flight Schedules for Holding/Endurance

14.3.2 First and Second Flight Schedules

14.3.3 Third Flight Schedule

14.4 Numerical Integration

14.4.1 Integration Method

14.4.2 Example of Numerical Computation

14.5 Flight Conditions for Maximum Endurance

14.5.1 Minimum Drag Speed Based on the Parabolic Drag Polar

14.5.2 Minimum Drag Speed Based on Actual Drag Polars

14.5.3 Optimum Speed for Endurance

14.5.4 Optimum Altitude for Endurance

14.6 Holding Operations

14.6.1 Holding Procedures

14.6.2 Holding Patterns

14.6.3 Holding Speeds

14.6.4 Holding with One Engine Inoperative

References

15 Mechanics of Maneuvering Flight

15.1 Introduction

15.2 Turning Maneuvers

15.2.1 Turning Maneuvers: Types of Turns

15.2.2 Turn Coordinator

15.2.3 Load Factor

15.3 Level Coordinated Turns

15.3.1 Forces and Load Factor in a Level Coordinated Turn

15.3.2 Rate of Turn

15.3.3 Turn Radius

15.3.4 Lift, Drag, and Thrust in a Level Turn

15.3.5 Minimum Drag Speed in a Turn

15.3.6 Impact of Wind on Turning Flight Paths

15.4 Climbing or Descending Turns

15.4.1 Climb Angle and Climb Gradient in a Turn

15.4.2 Reduction in Climb Angle (or Climb Gradient) in a Steady-Speed Turn

15.4.3 Reduction in Rate of Climb in a Steady-Speed Turn

15.5 Level Uncoordinated Turns

15.5.1 Forces and Load Factor in a Level Uncoordinated Turn

15.5.2 Turn Rate and Turn Radius

15.6 Limits and Constraints in Turning Maneuvers

15.6.1 Limiting Factors in Turns

15.6.2 Maximum Lift Coefficient

15.6.3 Structural Design Limits

15.6.4 Maneuver Envelope

15.6.5 Available Thrust and Turning Limits

15.6.6 Operational Limits and Constraints

15.7 Pitching Maneuvers

15.7.1 Introduction

15.7.2 Symmetrical Pitching Maneuvers

15.8 Total Energy

15.8.1 Introduction

15.8.2 Total Energy Expression

15.8.3 Specific Energy (Energy Height)

15.8.4 Specific Excess Power

15.8.5 Total Energy Performance Graphs (Charts)

References

16 Trip Fuel Requirements and Estimation

16.1 Introduction

16.2 ICAO Requirements

16.3 FAA Requirements

16.3.1 Overview

16.3.2 US Domestic Operations

16.3.3 FAA International Operations

16.3.4 FAA “Island” Reserves

16.4 EASA Requirements

16.4.1 Overview

16.4.2 Contingency Fuel

16.4.3 Mission Profile

16.5 Trip Fuel Computational Procedure

16.6 Payload–Range Performance

16.6.1 Basic Payload–Range Diagram

16.6.2 Mission Rules

16.6.3 Alternative Form of the Payload–Range Diagram

16.6.4 Impact of MTOW Increase on the Payload–Range Diagram

16.6.5 Impact of OEW Increase on the Payload–Range Diagram

16.6.6 Impact of Fuel Capacity Increase on the Payload–Range Diagram

16.7 Trip Fuel Breakdown and Fuel Fractions

16.7.1 Typical Fuel Breakdown by Mission Sector

16.7.2 Fuel Fractions

16.8 Trip Fuel Estimation

16.8.1 Overhead Approximation

16.8.2 Lost Energy Corrections to the Overhead Approximation

16.8.3 Estimating Fuel for a Specified Range

16.8.4 Step-Climb Correction

16.9 Estimating Trip Distances (To Be Flown)

16.9.1 Factored Great Circle Distance

16.9.2 Horizontal En Route Flight Efficiency

16.10 Transporting (Tankering) Fuel

16.10.1 Purpose

16.10.2 Analysis of Transporting Fuel

16.11 Reclearance

16.11.1 Introduction

16.11.2 Mission Profile for Reclearance

16.12 Factors That Can Impact Cruise Fuel

16.12.1 Book Level and Baseline Level Airplane Performance

16.12.2 Reference Conditions for Cruise Performance

16.12.3 Wind

16.12.4 Barometric Pressure Gradient

16.12.5 Temperature Variations

16.13 Impact of Small Changes on Cruise Fuel

16.13.1 Introduction

16.13.2 Mathematical Expression for Small Changes

References

17 En Route Operations and Limitations

17.1 Introduction

17.2 Climb to Initial Cruise Altitude (En Route Climb)

17.2.1 Climb–Speed Schedules

17.2.2 Determination of the Crossover Height

17.2.3 Constant Rate-of-Climb Schedule

17.2.4 Derated Climb Thrust Settings

17.3 Cruise Altitude Selection

17.3.1 Ceiling Definitions

17.3.2 Initial Cruise Altitude

17.3.3 Cruise Altitudes for Short Stages

17.3.4 Cruise Step-Climb Schedule

17.4 En Route Engine Failure

17.4.1 En Route Obstacle Clearance

17.4.2 One-Engine-Inoperative Performance Requirements

17.4.3 Two-Engine-Inoperative Performance Requirements

17.4.4 Route Planning and Drift-Down Flight Paths

17.4.5 Performance Analysis Following Single or Multiple Engine Failure(s)

17.4.6 Drift-Down Target Speed

17.5 En Route Cabin Pressurization Failure

17.5.1 En Route Obstacle Clearance

17.5.2 Route Planning Considerations

17.6 Extended Operations

17.6.1 Introduction

17.6.2 Approval for Extended Operations

17.6.3 ETOPS (Twin Operations) Tracks and Area of Operations

17.6.4 Fuel Planning for ETOPS (Twin Operations)

17.7 Continuous Descent Operations

References

18 Cost Considerations

18.1 Introduction

18.2 Airplane Operating Costs

18.2.1 Cost Accounting and Financial Data

18.2.2 Financial Models for Operating Costs

18.2.3 Direct and Indirect Operating Costs

18.2.4 Fuel Cost Share

18.2.5 Airplane Economic Measures

18.3 Cost Index

18.3.1 Cruise Speeds

18.3.2 Cost Index Definition

18.3.3 Cost Index and ECON Mach Number for Still Air Cruise

18.3.4 Economy Cruise Cost Function

18.3.5 Flight Operations and the Flight Management System

18.3.6 Cost Index and Climb Performance

18.3.7 Cost Index and Descent Performance

18.4 Unit Energy Cost

18.4.1 Metrics for Unit Energy Cost (Energy Efficiency)

18.4.2 Unit Mission Fuel

18.4.3 Energy Usage and Energy Intensity

18.4.4 Payload Fuel Energy Intensity

References

19 Weight, Balance, and Trim

19.1 Introduction

19.2 Airplane Weight Definitions

19.2.1 Weight/Mass Distinction

19.2.2 Airplane Weight Definitions and Breakdown

19.2.3 Structural-Limited Design Weights

19.2.4 Certified and Operational Weights

19.3 Center of Gravity

19.3.1 CG Determination

19.3.2 Load and Balance Diagram/CG Envelope

19.3.3 Fore and Aft CG Limits on the Load and Balance Diagram

19.3.4 Alternate Forward CG for Takeoff

19.4 Longitudinal Static Stability and Stabilizer Trim

19.4.1 Operation of the Trimmable Horizontal Stabilizer

19.4.2 Equilibrium and the Basic Trim Equation

19.4.3 Longitudinal Static Stability Margin

19.4.4 Stabilizer Position for Trim

19.4.5 Speed Stability and Longitudinal Static Margin

19.4.6 Stability Augmentation

19.5 Center of Gravity Control

19.5.1 Aerodynamic Advantage of CG Control

19.5.2 Fuel Management System for CG Control

19.6 Operational Weights and Dispatch Procedures

19.6.1 Operational Loading Procedures

19.6.2 CG Checks for Dispatch

19.6.3 Operating Empty Weight (OEW)

19.6.4 Standard Crew Weights

19.6.5 Passenger and Baggage Weights

19.7 Performance Implications

19.7.1 Impact on Fuel Burn of a Weight Increase or the Carriage of Excess Weight

19.7.2 Impact of CG Location on Drag and Specific Air Range

19.7.3 Impact of CG Location on Stall Speed and Takeoff and Landing Performance

19.7.4 Lateral Imbalance

References

20 Limitations and Flight Envelope

20.1 Introduction

20.2 Stall

20.2.1 Airplane Stall

20.2.2 Maximum Lift Coefficient and Airplane Configuration

20.2.3 Evaluation of Stall Speeds

20.2.4 Factors That Influence Stall Speeds

20.3 High-Speed Buffet

20.3.1 Introduction to High-Speed Buffet

20.3.2 Buffet Onset Speeds

20.3.3 Altitude Selection

20.4 Altitude–Speed Limitations

20.4.1 Altitude Limits (Ceiling)

20.4.2 Speed Envelope

20.5 Key Regulatory Speeds

20.5.1 The 1-g Stall Speed (FAR 25 Amendment 25-108)

20.5.2 Reference Stall Speed (VSR)

20.5.3 Operational Limit Speeds

20.6 Structural Design Loads and Limitations

20.6.1 Design Loads

20.6.2 Factor of Safety

20.6.3 Flight Envelope Protection

20.7 V–n Diagram (Flight Load Envelope)

20.7.1 Purpose of the V–n Diagram

20.7.2 Flight Maneuvering Envelope

20.7.3 Limit Maneuvering Load Factors

20.7.4 Stall Boundaries

20.7.5 Design Airspeeds

20.7.6 Airplane Design for Gust Loads

20.7.7 Gust-Induced Loads

20.7.8 Gust Load Diagram

20.7.9 Combined V–n Diagram

References

21 Noise and Emissions

21.1 Introduction

21.2 Airplane Noise

21.2.1 Impact of Airplane Noise

21.2.2 Human Perception of Noise

21.2.3 Perceived Noise Level

21.2.4 Sources of Noise

21.3 Noise Regulations and Restrictions

21.3.1 Historical Overview

21.3.2 Noise Regulations

21.3.3 Local Authority Restrictions

21.4 Noise Abatement and Flight Operations

21.4.1 Noise Abatement Procedures

21.4.2 Departing Aircraft

21.4.3 Arriving Aircraft

21.5 Airplane Emissions

21.5.1 Introduction

21.5.2 Principal Aircraft Engine Emissions

21.5.3 Contrails and Aviation-Induced Cloudiness

21.5.4 Environmental Impact of Aircraft Emissions

21.5.5 Emission Indices

21.6 Mitigating the Effects of Airplane Emissions

21.6.1 Mitigation Measures

21.6.2 ICAO Aircraft Carbon Dioxide Emissions Certification Standard

21.6.3 International Agreements on Emissions

References

22 Airplane Systems and Performance

22.1 Introduction

22.2 Reliability Requirements for Airplane Systems

22.3 Cabin Pressurization System

22.3.1 Human Performance and Limitations at Altitude

22.3.2 Cabin Altitude in Cruise

22.3.3 Cabin Pressure Regulation in Climb and Descent

22.3.4 Cabin Pressurization System Failure and Supplemental Oxygen Supply

22.4 Environmental Control System

22.4.1 Operation

22.4.2 Impact on Airplane Performance

22.5 De-Icing and Anti-Icing Systems

22.5.1 Airplane Icing

22.5.2 De-Icing and Anti-Icing Systems

22.5.3 Impact on Airplane Performance

22.6 Auxiliary Power System

22.6.1 Function

22.6.2 Fuel Consumption

22.7 Fuel and Fuel Systems

22.7.1 Aviation Fuel

22.7.2 Fuel Heating Value (Energy Content)

22.7.3 Influence of Gravimetric Heating Value on Specific Air Range

22.7.4 Influence of Gravimetric Heating Value on Cruise Fuel

22.7.5 Influence of Fuel Energy Content on Payload–Range

22.7.6 Low Temperature Operations

22.7.7 Fuel Jettison System

References

23 Authorities, Regulations, and Documentation

23.1 Introduction

23.2 International Civil Aviation Organization

23.2.1 Introduction

23.2.2 The Convention on International Civil Aviation

23.2.3 Committee on Aviation Environmental Protection

23.2.4 ICAO Documents

23.3 Aviation Authorities

23.3.1 Introduction

23.3.2 Federal Aviation Administration

23.3.3 European Aviation Safety Agency

23.3.4 Aviation Authorities Worldwide

23.4 Regulations, Certification, and Operations

23.4.1 Regulations

23.4.2 Certificate of Airworthiness and Type Certificate

23.4.3 Requirements for Airplane Certification

23.4.4 Requirements for Airplane Operations

23.4.5 Continued Airworthiness and Safety Notifications

23.4.6 Aeronautical Information Publication (AIP)

23.4.7 Instructional or Educational Publications

23.5 Safety Investigation Authorities

23.5.1 Introduction

23.5.2 Safety Investigations

23.5.3 Safety Investigation Authorities

23.6 Non-Governmental Organizations

23.6.1 Introduction

23.6.2 International Air Transport Association

23.6.3 International Federation of Air Line Pilots’ Associations

23.6.4 Flight Safety Foundation

23.6.5 Air Transport Action Group

23.7 Airplane and Flight Crew Documentation

23.7.1 Airplane/Aeroplane Flight Manual

23.7.2 Flight Crew Operations/Operating Manual

23.7.3 Quick Reference Handbook

23.7.4 Flight Crew Training Manual

23.7.5 Flight Planning and Performance Manual

23.7.6 Performance Engineers Manual

23.7.7 Weight and Balance Manual

23.7.8 Minimum Equipment List and Configuration Deviation List

23.7.9 Airplane/Aircraft Characteristics for Airport Planning Manual

23.7.10 Supplemental Documents

23.8 Airplane Performance Data

23.8.1 Performance Data Generation

23.8.2 SCAP (Standardized Computerized Aircraft Performance)

References

Appendix A International Standard Atmosphere (ISA) Table

Appendix B Units and Conversion Factors

B.1 SI System of Units

B.2 Other Systems of Units and Conversion Factors

Appendix C Coordinate Systems and Conventions

C.1 Introduction

C.2 Angles of Rotation

C.2.1 Roll, Pitch, and Yaw Angles

C.2.2 Bank Angle

C.2.3 Azimuth Angle and Flight Path Angle

C.2.4 Angle of Attack and Angle of Sideslip

C.3 Velocity Components

Appendix D Miscellaneous Derivations

D.1 Introduction

D.2 Fundamental Fluid Properties

D.2.1 Total Pressure

D.2.2 Bernoulli Equation for Compressible Flow

D.2.3 Binomial Expansion of the Bernoulli Equation

D.3 Acceleration Factors for Climb/Descent

D.3.1 Acceleration Factors in the ISA

D.3.2 Constant Mach Number Climb/Descent in the ISA

D.3.3 Constant EAS Climb/Descent in the ISA

D.3.4 Constant CAS Climb/Descent in the ISA

D.3.5 Acceleration Factors in Off-Standard Atmospheres

D.4 Wind Gradient Correction for Rate of Climb/Descent

D.5 Still Air Range Equations for Various Flight Schedules

D.5.1 Flight Schedules for Range Equations

D.5.2 Constant Altitude and Constant Lift Coefficient

D.5.3 Constant TAS and Constant Lift Coefficient

D.5.4 Constant Altitude and Constant TAS

Appendix E Trim and Longitudinal Static Stability

E.1 Introduction

E.2 Definitions and Conventions

E.2.1 Definitions of Angles, Derivatives, and Coefficients

E.2.2 Pitch Flight Control and Trim

E.3 Conditions for Longitudinal Static Stability

E.3.1 Equilibrium Condition

E.3.2 Static Stability Criteria

E.4 Simplified Trim Equation

E.4.1 Simplifications and Assumptions

E.4.2 Summation of Moments About the CG

E.4.3 Static Stability and Neutral Point

E.4.4 Tailplane Contribution to the Airplanes Static Stability

E.4.5 Static Margin

E.4.6 Trim Condition

Appendix F Regulations (Fuel Policy)

F.1 Introduction

F.2 Fuel Planning: EASA Basic Procedure

Appendix G Abbreviations and Nomenclature

G.1 Mathematical Notation

G.2 Chemical Symbols

G.3 Abbreviations and Acronyms

References

Index

EULA

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