Magnitude
The magnitude of stagnation pressure can be derived from a simplified form of Bernoulli Equation. For incompressible flow,
where:
- is the stagnation pressure
- is the fluid density
- is the velocity of fluid
- is the static pressure at any point.
At a stagnation point, the velocity of the fluid is zero. If the gravity head of the fluid at a particular point in a fluid flow is zero, then the stagnation pressure at that particular point is equal to total pressure. However, in general total pressure differs from stagnation pressure in that total pressure equals the sum of stagnation pressure and gravity head.
In compressible flow the stagnation pressure is equal to static pressure only if the fluid entering the stagnation point is brought to rest isentropically. For many purposes in compressible flow, the stagnation enthalpy or stagnation temperature plays a role similar to the stagnation pressure in incompressible flow.
Read more about this topic: Stagnation Pressure
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