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Mass Flow to Velocity Calculator

Mass Flow to Velocity Formula:

\[ v = \frac{\dot{m}}{\rho \times A} \]

kg/s
kg/m³

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1. What is the Mass Flow to Velocity Equation?

The mass flow to velocity equation calculates the velocity of a fluid based on its mass flow rate, density, and the cross-sectional area of flow. It's fundamental in fluid dynamics and engineering applications.

2. How Does the Calculator Work?

The calculator uses the equation:

\[ v = \frac{\dot{m}}{\rho \times A} \]

Where:

Explanation: The equation shows that velocity is directly proportional to mass flow rate and inversely proportional to both density and cross-sectional area.

3. Importance of Velocity Calculation

Details: Calculating fluid velocity is essential for designing piping systems, ventilation systems, and various engineering applications where fluid flow characteristics are critical.

4. Using the Calculator

Tips: Enter mass flow rate in kg/s, density in kg/m³, and cross-sectional area in m². All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the inputs?
A: The calculator expects mass flow rate in kg/s, density in kg/m³, and area in m². Convert your values to these units before input.

Q2: Can I use this for gases and liquids?
A: Yes, the equation works for both gases and liquids, as long as you use the correct density for the fluid at its current conditions.

Q3: What if my flow is not through a circular pipe?
A: The equation works for any cross-sectional shape, but you must know the total cross-sectional area perpendicular to the flow direction.

Q4: How does temperature affect the calculation?
A: Temperature affects density (ρ), especially for gases. Use the density value appropriate for your fluid's temperature.

Q5: Is this the same as volumetric flow rate?
A: No, but they're related. Volumetric flow rate (Q) equals mass flow rate divided by density (Q = ṁ/ρ), so velocity is Q/A.

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