Hydraulic Hose Sizing: Difference between revisions
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== 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 == | == 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 | :Pressure: 20 ft/sec | ||
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:Q is fluid volume in gallons/min | :Q is fluid volume in gallons/min | ||
:D is hose inside diameter in inches | :D is hose inside diameter in inches | ||
Now, let's calculate the hose sizes: | |||
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[[Category:Power Cube]] | [[Category:Power Cube]] | ||
Revision as of 21:51, 8 April 2013
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
Now, let's calculate the hose sizes:
Supply 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 (Pressure) 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
Note: The sizing guidelines say to always round up.
Pump Displacement (Cubic Inch Per Revolution, or CIPR)
- 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, the pump size 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, the pump size is calculated as follows:
- CIPR = 28.5 × 231 * 0.97 / 3000 = 2.12 CIPR