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Mass Flow Rate Formula in Fluid Mechanics

Mass Flow Rate Formula:

\[ W = Q \times \rho \times 60 \]

GPM
lb/gal
lb/hr

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1. What is Mass Flow Rate in Fluid Mechanics?

Definition: Mass flow rate is the mass of a fluid passing through a given surface per unit time.

Purpose: It's crucial for designing piping systems, chemical processes, and any application where fluid transport is involved.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ W = Q \times \rho \times 60 \]

Where:

Explanation: The volumetric flow rate is multiplied by fluid density to get mass per minute, then converted to hours.

3. Importance of Mass Flow Rate Calculation

Details: Accurate mass flow rate calculations are essential for system design, process control, and equipment sizing in industries like chemical processing, oil & gas, and water treatment.

4. Using the Calculator

Tips: Enter the volumetric flow rate in GPM and fluid density in lb/gal (default 8.34 for water). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why multiply by 60 in the formula?
A: The factor converts from per-minute to per-hour units since GPM is per minute while the result is in lb/hr.

Q2: What's the typical density of water?
A: Water at room temperature is approximately 8.34 lb/gal (1 g/cm³).

Q3: How do I convert from other flow rate units?
A: First convert to GPM (1 GPM = 3.785 L/min = 0.0631 L/sec).

Q4: Can I use this for gases?
A: Yes, but gas density varies significantly with pressure and temperature, so use appropriate density values.

Q5: What if my fluid density is in kg/m³?
A: Convert to lb/gal first (1 kg/m³ ≈ 0.008345 lb/gal).

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