Aerospace & Aeronautical Engineering / Power Required & Cruise
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LABORATORY 20 · AEROSPACE & AERONAUTICAL ENGINEERING

Steady Level Flight Performance and Power Required Curves

Determine minimum drag speed V_md, parasite vs induced drag crossover, and power required curves P_R(V) for an aircraft in steady unaccelerated level cruise. Explore interactive wind tunnel simulation, flight dynamics, and aerospace engineering telemetry.

AERODYNAMICS · PROPULSION · FLIGHT DYNAMICS

Your virtual aerospace engineering laboratory.

PARASITE THRUST REQUIRED—
FLIGHT & TEST CELL TELEMETRY

Ready to sample with q = 2.0 kPa.

2.0 kPa
Simulated aircraft weight W: 45.0 kN

Adjust q, then execute aerospace trial.

Aeronautical telemetry and flight states are evaluated rigorously using 64-bit IEEE 754 precision. Residuals reflect ordinary least-squares regression across successive observations. Continuous data structures support high-fidelity aerodynamic modeling.

Aeronautical assumptions and boundary condition limits

Assumes parabolic drag polar without Mach compressibility drag rise (valid for M < 0.65). Linear regression of parasite thrust against dynamic pressure yields an equivalent parasite area f = 0.4500 m^2 with R^2 > 0.999999.

Aeronautical apparatus & wind tunnel sensors.

Subsonic Wind Tunnel Cruise Test Section

Provides continuous airspeed from 25 to 80 m/s with flow angularity < 0.1 degrees.

Business Jet Scale Model (1:10 scale)

Complete aerodynamic configuration with wing area S = 18.0 m^2 equivalent and clean fuselage.

6-Component Internal Strain-Gauge Balance

Measures total axial drag and normal lift forces with 0.05% full-scale precision.

Computer-Controlled Pitch & Speed Synchronizer

Adjusts model pitch to ensure lift constantly matches simulated aircraft weight (L = W).

Precision Pitot-Static Dynamic Pressure Rake

Continuously measures test-section dynamic pressure q in kPa.

Flight Performance Simulation Workstation

Computes parasite thrust component, constructs power required curves, and determines V_md.

FOLLOW THE METHOD

A reason behind every step.

Determine minimum drag speed V_md, parasite vs induced drag crossover, and power required curves P_R(V) for an aircraft in steady unaccelerated level cruise. Standardized parameter settings: 0.6, 1.0, 1.5, 2.2, 3.0, 4.0 kPa.

01

Zero Tare and Weight Calibration

Perform wind-off balance tare across all load cells with the 1:10 scale business jet model mounted on the sting.

02

Level Flight Trim Initialization

Set simulated aircraft weight to W = 45.0 kN, programming the auto-trimmer to maintain L = W at all test velocities.

03

Dynamic Pressure Stepping

Step the wind tunnel dynamic pressure through q = 0.60, 1.00, 1.50, 2.20, 3.00, and 4.00 kPa.

04

Drag Force Acquisition

Sample balance drag force across 3000 points at each dynamic pressure setting, resolving total drag into D_0 and D_i.

05

Parasite Thrust Isolation

Subtract theoretical induced drag D_i = W^2 / (q * S * pi * e * AR) from total drag to isolate parasite thrust T_parasite.

06

Parasite Drag Area Regression

Plot T_parasite (in kN) versus q (in kPa), perform linear regression to determine equivalent parasite area f = S * C_D0, and calculate (L/D)_max.

YOUR NOTEBOOK · 0 OBSERVATIONS

Turn measurements into aerodynamic insight.

See a complete example report ↗

Points are your recorded observations. The solid regression line validates Power Required & Cruise mathematical scaling.

LINEAR REGRESSION FIT · y = mx + b
T_{\text{parasite}} = f \cdot q \implies T_{\text{parasite}} = m \cdot q_{\text{kPa}} + b
#Dynamic Pressure q (kPa)Parasite Thrust Required (kN)Dynamic Pressure q (kPa)Parasite Thrust Required T_parasite (kN)Remove

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CHECK YOUR UNDERSTANDING

Explain what the aerodynamic metrics mean.

At what flight speed does an aircraft achieve its minimum total aerodynamic drag in steady level flight?

For a measured parasite area f = 0.450 m^2 and dynamic pressure q = 2.0 kPa, what is the parasite drag force?

How does the minimum power speed V_mp compare to the minimum drag speed V_md in level flight?

If an aircraft doubles its gross weight W, by what factor does its induced drag increase at a given true airspeed?