Uncertainty calculations for theoretical flight power curves

Area of Science:

• Biomechanics
• Aerodynamics
• Comparative Physiology

Background:

• Direct measurement of mechanical power for flight is experimentally challenging.
• Existing comparisons between theoretical and experimental flight power often lack uncertainty estimates for theoretical predictions.
• Metabolic rate measurements are often used as a proxy for mechanical power, limiting direct comparison.

Purpose of the Study:

• To detail a method for calculating uncertainty estimates in mechanical power models for flight.
• To enable quantitative comparisons between theoretical predictions and future experimental data.
• To assess the sensitivity of power requirements to variations in independent variables.

Main Methods:

• Development of analytical and numerical methods for uncertainty estimation in mechanical power models.
• Derivation of results for realistic flight scenarios.
• Sensitivity analysis of power requirements across different variables.

Main Results:

• A robust method for calculating uncertainty in theoretical mechanical power predictions is presented.
• The sensitivity of power requirements varies significantly depending on the independent variables.
• Quantitative comparisons are now feasible in principle, pending experimental data.

Conclusions:

• The absence of uncertainty estimates in theoretical flight power models has prevented direct comparison with experimental data.
• This work provides the necessary framework for quantifying uncertainty in theoretical models.
• Future experimental measurements of mechanical power can now be quantitatively compared to theoretical predictions.