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Calculate Pressure From Velocity

Dynamic Pressure Equation:

\[ P_{dynamic} = \frac{1}{2} \rho V^2 \]

kg/m³
m/s

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1. What is Dynamic Pressure?

Dynamic pressure is the kinetic energy per unit volume of a fluid particle. It's a concept in fluid dynamics that represents the pressure increase when a fluid in motion is brought to rest isentropically.

2. How Does the Calculator Work?

The calculator uses the dynamic pressure equation:

\[ P_{dynamic} = \frac{1}{2} \rho V^2 \]

Where:

Explanation: The equation calculates the pressure resulting from fluid motion, which is proportional to the square of the velocity and directly proportional to the fluid density.

3. Importance of Dynamic Pressure Calculation

Details: Dynamic pressure is crucial in aerodynamics, hydrodynamics, and various engineering applications. It's used in calculating lift and drag forces, designing piping systems, and analyzing fluid flow in various contexts.

4. Using the Calculator

Tips: Enter fluid density in kg/m³ and velocity in m/s. Both values must be positive numbers. Common fluid densities: air ≈ 1.225 kg/m³, water ≈ 1000 kg/m³.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between static and dynamic pressure?
A: Static pressure is the pressure of a fluid at rest, while dynamic pressure is the pressure component due to the fluid's motion.

Q2: How is dynamic pressure related to Bernoulli's principle?
A: Bernoulli's equation states that the sum of static pressure, dynamic pressure, and hydrostatic pressure remains constant along a streamline for an incompressible fluid.

Q3: What are typical applications of dynamic pressure calculations?
A: Aircraft design, wind load calculations, HVAC systems, water distribution networks, and many fluid flow analyses in engineering.

Q4: Why does dynamic pressure increase with the square of velocity?
A: Because kinetic energy (½mv²) increases with velocity squared, and dynamic pressure represents kinetic energy per unit volume.

Q5: How does fluid density affect dynamic pressure?
A: Higher density fluids generate higher dynamic pressures at the same velocity because they contain more mass per unit volume.

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