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Stagnation Pressure Calculator

Stagnation Pressure Formula:

\[ p' = 2 \times P_{dynamic} \times (\cos(\Phi))^2 + p_{\infty} \]

Pascal
Radian
Pascal

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1. What is Stagnation Pressure?

Stagnation Pressure is the pressure at the stagnation temperature during the process of ramming. It represents the total pressure when a fluid is brought to rest isentropically.

2. How Does the Calculator Work?

The calculator uses the Stagnation Pressure formula:

\[ p' = 2 \times P_{dynamic} \times (\cos(\Phi))^2 + p_{\infty} \]

Where:

Explanation: This formula calculates the stagnation pressure based on dynamic pressure, Newtonian angle, and free stream pressure using Newtonian impact theory.

3. Importance of Stagnation Pressure Calculation

Details: Stagnation pressure is crucial in aerodynamics and fluid dynamics for determining the total pressure in flow fields, particularly in high-speed flows and impact scenarios.

4. Using the Calculator

Tips: Enter dynamic pressure in Pascal, Newtonian angle in radians, and free stream pressure in Pascal. All values must be valid (dynamic pressure > 0, Newtonian angle ≥ 0).

5. Frequently Asked Questions (FAQ)

Q1: What is dynamic pressure?
A: Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid.

Q2: What is Newtonian angle?
A: Newtonian angle is the angle between the normal to the surface and the freestream direction.

Q3: What is free stream pressure?
A: Free Stream Pressure is the pressure of fluid that hasn't encountered any disturbance or obstruction.

Q4: When is this formula applicable?
A: This formula is particularly useful in Newtonian impact theory applications for high-speed flows where the fluid behaves like a stream of particles.

Q5: What are typical units for these measurements?
A: While Pascal is the SI unit, other pressure units can be used as long as consistency is maintained throughout the calculation.

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