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Pressure forces and airflow momentum changes describe the same aerodynamic interaction.

The Claim

Bernoulli's principle, involving pressure differences, and Newton's third law, involving reaction forces, are two descriptions of the same underlying physical mechanism.

Verified by Lenz ·

The Short Version

Bernoulli pressure differences and Newtonian reaction forces are compatible descriptions of one aerodynamic interaction, especially in explanations of lift. Pressure forces on a wing correspond to momentum changes in the airflow. The wording is slightly imprecise because momentum change follows most directly from Newton’s second law, while the third law identifies the reciprocal forces between the wing and air.

Caveats

  • The equivalence is clearest in the aerodynamic-lift context supplied by the sources; the claim is overly broad without that context.
  • Newton’s second law directly connects force to airflow momentum change; the third law concerns the reciprocal forces between air and wing.
  • Simplified Bernoulli explanations, including equal-transit-time accounts, are incomplete or incorrect.

The Receipts

  1. Evolutionary understanding of airfoil lift | Advances in Aerodynamics | Springer Nature Link

    link.springer.com

  2. Bernoulli and Newton | Glenn Research Center | NASA

    www1.grc.nasa.gov

  3. Bernoulli Or Newton: Who's Right About Lift?

    planeandpilotmag.com

  4. Bernoulli and Newton

    grc.nasa.gov

  5. Bernoulli and Newton

    grc.nasa.gov

  6. Bernoulli and Newton

    grc.nasa.gov

  7. nasa.gov

    nasa.gov

  8. Newton vs Bernoulli - How is lift created?

    faasafety.gov

  9. The physics of flight: I. Fixed and rotating wings - IOPscience

    iopscience.iop.org

  10. Lift from Flow Turning

    grc.nasa.gov

+ 23 more sources — see the full list on Lenz

Filed Under

Bernoulli's PrincipleDaniel BernoulliIsaac NewtonNewton's Third Law Of Motion