Bernoulli’s Equation with Acceleration

Author(s)
Kern E. Kenyon

ABSTRACT

For steady frictionless flow along a straight line, when a constant acceleration is applied parallel to that line, a term needs to be added to the standard form of Bernoulli’s equation. After so modifying, the equation then predicts that along a streamline, when the speed is high, the pressure is significantly lower than that if there were no acceleration. For example, one might think of a dense fluid falling down through a less dense fluid under gravity. Potential applications to vertical motions of the atmosphere, such as down bursts of cold dry air and warm humid updrafts in the eye of a hurricane, are mentioned.

For steady frictionless flow along a straight line, when a constant acceleration is applied parallel to that line, a term needs to be added to the standard form of Bernoulli’s equation. After so modifying, the equation then predicts that along a streamline, when the speed is high, the pressure is significantly lower than that if there were no acceleration. For example, one might think of a dense fluid falling down through a less dense fluid under gravity. Potential applications to vertical motions of the atmosphere, such as down bursts of cold dry air and warm humid updrafts in the eye of a hurricane, are mentioned.

Cite this paper

Kenyon, K. (2015) Bernoulli’s Equation with Acceleration.*Natural Science*, **7**, 488-490. doi: 10.4236/ns.2015.710050.

Kenyon, K. (2015) Bernoulli’s Equation with Acceleration.

References

[1] Milne-Thompson, L.M. (1955) Theoretical Hydrodynamics. 3rd Edition, Macmillan, New York, 571-572.

[2] Kenyon, K.E. (2010) Vena Contracta and Surface Tension. Physics Essays, 23, 579-583.

http://dx.doi.org/10.4006/1.3486756

[3] Kenyon, K.E. (2014) Hurricane Initiation: An Hypothesis. Natural Science, 6, 278-281.

http://dx.doi.org/10.4236/ns.2014.65031

[1] Milne-Thompson, L.M. (1955) Theoretical Hydrodynamics. 3rd Edition, Macmillan, New York, 571-572.

[2] Kenyon, K.E. (2010) Vena Contracta and Surface Tension. Physics Essays, 23, 579-583.

http://dx.doi.org/10.4006/1.3486756

[3] Kenyon, K.E. (2014) Hurricane Initiation: An Hypothesis. Natural Science, 6, 278-281.

http://dx.doi.org/10.4236/ns.2014.65031