PSI to GPM Calculator – PSI to Gallons Per Minute Converter

A 1 PSI is approximately 0.10 GPM, a psi to gpm calculator is used to convert water pressure measured in Pounds per Square Inch (PSI) to flow rate measured in Gallons per Minute (GPM).

The calculator takes into account factors such as pipe diameter and fluid properties to provide accurate conversions.

To calculate the Gallons Per Minute (GPM) from pressure, you typically use the following formula, which is derived from the Bernoulli equation:

$$ \text{GPM} = \text{K} \times \sqrt{\text{PSI}} $$

Where:

• $$\text{GPM}$$ is the flow rate in gallons per minute.
• $$\text{K}$$ is a constant that depends on the specific system or orifice.
• $$\text{PSI}$$ is the pressure in pounds per square inch.

The value of $$\text{K}$$ is determined experimentally or provided by the manufacturer of the equipment. If you have a specific value for $$\text{K}$$, you can plug it into the formula along with the pressure to find the GPM.

Example Calculation

For example, if $$\text{K} = 2$$ and the pressure ($$\text{PSI}$$) is 50:

$$ \text{GPM} = 2 \times \sqrt{50} \approx 2 \times 7.07 \approx 14.14 $$

So, the flow rate would be approximately 14.14 GPM.

PSI to GPM Converter Formula

The general formula used in a PSI to GPM converter is derived from the Bernoulli equation and the continuity equation:

GPM = C * A * √(2gh)

Where:

• GPM is the flow rate in Gallons per Minute
• C is the discharge coefficient (typically between 0.6 and 1.0)
• A is the cross-sectional area of the pipe or orifice
• g is the acceleration due to gravity (32.2 ft/s²)
• h is the pressure head in feet (PSI * 2.31)

• In a typical residential system with 3/4″ pipes, 80 PSI might produce around 15-20 GPM.
• Under similar conditions, 50 PSI could result in approximately 10-15 GPM.
• At 100 PSI, you might expect 20-25 GPM in a residential system.
• 40 PSI typically produces about 8-12 GPM in standard residential plumbing.
• At very low pressures like 6 PSI, flow rates are minimal, perhaps 1-2 GPM or less.

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Can you convert PSI to GPM?

Yes, it is possible to convert PSI to GPM, but it’s not a direct conversion. The relationship between pressure (PSI) and flow rate (GPM) depends on several factors, including:

• Pipe diameter
• Pipe length
• Fluid viscosity
• Fluid temperature
• Friction losses in the system

To accurately convert PSI to GPM, you need to know these factors and use the appropriate formulas or a specialized calculator.

In many practical applications, professionals use charts, tables, or software tools that incorporate these variables to make the conversion.

How do you calculate flow rate using PSI?

Calculating flow rate using PSI involves several steps:

1. Determine the pressure difference: Measure the pressure at two points in the system.
2. Calculate the pressure head: Convert PSI to feet of head (1 PSI = 2.31 feet of head).
3. Measure the pipe diameter: This is crucial for determining the cross-sectional area.
4. Apply the flow rate formula: Use the formula mentioned earlier, adjusting for specific conditions.
5. Account for friction losses: In real-world applications, friction in pipes reduces flow rate.

For a simplified calculation, you can use the orifice flow equation:

Q = Cd * A * √(2gh)

Where:

• Q is the flow rate
• Cd is the discharge coefficient
• A is the orifice area
• g is gravitational acceleration
• h is the pressure head

How do you convert pump GPM to PSI?

Converting pump GPM to PSI is essentially the reverse process of PSI to GPM conversion.

1. Identify the pump curve: This graph shows the relationship between flow rate and pressure for a specific pump.
2. Locate the GPM value on the curve.
3. Read the corresponding PSI value from the curve.

PSI to GPM Conversion Chart

PSI	Calculated GPM (approx.)
20	6.5
40	9.2
60	11.3
80	13.0
100	14.5