Hydraulic Hose Sizing

Horsepower to Flow

First of all, we must determine fluid flow rate from the horsepower and pressure.

Horsepower = Pressure × Flow / 1714, or:

HP = PQ / 1714

A 28 HP Power Cube delivering 3000 PSI, we calculate the flow as follows:

28 = (3000 * Q) / 1714

Therefore, Q = (28 * 1714) / 3000 = 15.997 GPM

The upcoming 50 HP Power Cube delivering 3000 PSI, we calculate the flow as follows:

50 = (3000 * Q) / 1714

Therefore, Q = (50 * 1714) / 3000 = 28.5 GPM

Hose Sizing Guidelines

These are the formulas and guidelines for determining sizes for the three hose types: Pressure, Return and Suction. They are determined from the fluid velocity in each type of hose. The general values used are:

Pressure: 20 ft/sec

Return: 15 ft/sec

Suction: 5 ft/sec

The formula for calculating the hose size is as follows:

V = Q / (3.117 * pi/4 * D ^ 2)

or

D = (Q / (3.117 * pi/4 * V) ) ^ 1/2

Where:

V is fluid velocity in ft/sec

Q is fluid volume in gallons/min

D is hose inside diameter in inches

Note: The sizing guidelines say to always round up.

Now, let's calculate the hose sizes:

Supply (Pressure) Hose

V = 20 ft/sec and Q is shown for 13, 16, and 28.5 GPM:

D = (13 GPM / (3.117 * pi/4 * 20 ft/sec) ) ^ 1/2 = 0.515 in

D = (16 GPM / (3.117 * pi/4 * 20 ft/sec) ) ^ 1/2 = 0.572 in

D = (28.5 GPM / (3.117 * pi/4 * 20 ft/sec) ) ^ 1/2 = 0.762 in

Return Hose

V = 20 ft/sec and Q is shown for 13, 16, and 28.5 GPM:

D = (13 GPM / (3.117 * pi/4 * 15 ft/sec) ) ^ 1/2 = 0.595 in

D = (16 GPM / (3.117 * pi/4 * 15 ft/sec) ) ^ 1/2 = 0.660 in

D = (28.5 GPM / (3.117 * pi/4 * 15 ft/sec) ) ^ 1/2 = 0.880 in

Suction Hose

V = 5 ft / sec and the Q is shown for 13, 16 and 28.5 GPM:

D = (13 GPM / (3.117 * pi/4 * 5 ft/sec) ) ^ 1/2 = 1.03 in

D = (16 GPM / (3.117 * pi/4 * 5 ft/sec) ) ^ 1/2 = 1.14 in

D = (28.5 GPM / (3.117 * pi/4 * 5 ft/sec) ) ^ 1/2 = 1.52 in

Pump Displacement (Cubic Inch Per Revolution, or CIPR)

Finally, the formula for calculating the displacement for the fixed displacement pump is:

CIPR = Flow Rate (in GPM) × 231 x Pump Efficiency / Pump RPM, or:

CIPR = GPM × 231 * PE / RPM

The 28 hp Briggs & Stratton engine HP is rated at 3600 RPM. With 97% pump efficiency, pump displacement is calculated as follows:

CIPR = 16 × 231 * 0.97 / 3600 = 0.996 CIPR

The 50 hp Briggs & Stratton engine HP is rated at 3000 RPM. With 97% pump efficiency, pump displacement is calculated as follows:

CIPR = 28.5 × 231 * 0.97 / 3000 = 2.12 CIPR

Note: The generally accepted value for pump efficiency is 97%.