Pressure from Mass Flow Rate Calculator

Pressure Formula:

\[ P = \frac{W^2}{\rho \times A^2 \times 3600^2} \div (2 \times 144) \]

Pressure (P): psi

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1. What is Pressure from Mass Flow Rate Calculator?

Definition: This calculator determines the pressure generated by a given mass flow rate of fluid through a specific cross-sectional area.

Purpose: It helps engineers and technicians in fluid dynamics and piping systems to calculate pressure based on mass flow parameters.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P = \frac{W^2}{\rho \times A^2 \times 3600^2} \div (2 \times 144) \]

Where:

\( P \) — Pressure (psi)
\( W \) — Mass flow rate (lb/hr)
\( \rho \) — Density (lb/ft³)
\( A \) — Cross-sectional area (ft²)

Explanation: The formula converts mass flow to pressure by accounting for fluid density and the constriction area, with unit conversions built in.

3. Importance of Pressure Calculation

Details: Accurate pressure calculations ensure proper system design, prevent pipe failures, and optimize pump/compressor selection.

4. Using the Calculator

Tips: Enter the mass flow rate in lb/hr, fluid density (default 62.4 lb/ft³ for water), and cross-sectional area (default 0.00545 ft² for 1" pipe). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is 3600² in the formula?
A: This converts hours to seconds (3600 seconds/hour) squared as part of the unit conversion.

Q2: What's the 144 factor for?
A: Converts from lb/ft² to psi (1 ft² = 144 in²).

Q3: What density should I use for gases?
A: Use the actual density at operating conditions, which varies with pressure and temperature.

Q4: How do I find cross-sectional area?
A: For pipes, A = π × (inner diameter/2)². 1" Schedule 40 pipe has ID of 0.08742 ft.

Q5: Does this account for friction losses?
A: No, this calculates theoretical pressure. For real systems, add friction loss calculations.