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In addition to the revision notes for Bernoulli Equation on this page, you can also access the following Density and Pressure learning resources for Bernoulli Equation
Tutorial ID | Title | Tutorial | Video Tutorial | Revision Notes | Revision Questions | |
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9.2 | Bernoulli Equation |
In these revision notes for Bernoulli Equation, we cover the following key points:
The mathematical apparatus used to study the behaviour of real fluid is too complicated. Therefore we use a simplified concept that helps us study fluids with a satisfactory approximation. This concept is known as "Ideal Fluid" and obviously, it contains some restrictions compared to real fluids. They are:
The equation of continuity for ideal fluids states "the cross sectional area of a flowing fluid and its flowing speed are inversely proportional to each other." The equation of continuity for two situations 1 and 2, is
where A stands for cross sectional area of the tube and v for the flowing speed.
Bernoulli Equation gives the relationship between static and dynamic pressure exerted in a flowing fluid. Its states that
or
If we consider two situations 1 and 2, the Bernoulli equation is written as
It is not for sure that all terms of the Bernoulli equation are to be used in a given situation. Some terms may cancel out according to the situation involved. Therefore, usually we obtain simplified versions of Bernoulli equations when solving problems related to hydrodynamics.
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