Quick Answer
Calculate Pump Affinity Law Power Predictor
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Find Engineering Solutions →Result Interpretation
Pump Affinity Law Power Predictor calculator computes Hydraulic power in W using the defined engineering formula and the input values provided. Hydraulic power is expressed in W. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Actual volumetric flow rate = 0.1
- Reference volumetric flow rate = 0.08
- Actual head = 45
- Reference head = 40
- Actual rotational speed = 314.159
- Reference rotational speed = 251.327
- Reference hydraulic power = 1500
Expected Result:
- Hydraulic power = 5722.0595588491
Engineering Interpretation:
Under the given input conditions, the calculated result is: Hydraulic power = 5722.0595588491 W.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.
Formula / Method
hydraulic power = reference hydraulic power * pow(actual volumetric flow rate / reference volumetric flow rate, 3) * pow(actual head / reference actual head, 0) * pow(actual rotational speed / reference rotational actual rotational speed, 3)Formula family: formula_pump_pump_affinity_law_flow_head_power_predictor
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| flow_rate | Actual volumetric flow rate | INPUT | Actual volumetric flow rate |
| flow_rate_ref | Reference volumetric flow rate | INPUT | Reference volumetric flow rate |
| head | Actual head | INPUT | Actual head |
| head_ref | Reference head | INPUT | Reference head |
| speed | Actual rotational speed | INPUT | Actual rotational speed |
| speed_ref | Reference rotational speed | INPUT | Reference rotational speed |
| pump_power_ref | Reference hydraulic power | INPUT | Reference hydraulic power |
| pump_power | Hydraulic power | OUTPUT | Hydraulic power |
Calculation Steps
- Enter the actual volumetric flow rate in m^3/s.
- Enter the reference volumetric flow rate in m^3/s.
- Enter the actual head in m.
- Enter the reference head in m.
- Enter the actual rotational speed in rad/s.
- Enter the reference rotational speed in rad/s.
- Enter the reference hydraulic power in W.
- Step 1: Compute hydraulic power.
- Read the hydraulic power (W) from the results.
Engineering Summary
Calculate Pump Affinity Law Power Predictor
Frequently Asked Questions
What does this calculator calculate?
The Pump Affinity Law Power Predictor calculator estimates Hydraulic power based on the input parameters you provide
Why is actual volumetric flow rate important in this calculation?
actual volumetric flow rate is used directly in the calculation of hydraulic power. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter actual volumetric flow rate in m^3/s, the calculator uses it in the engineering formula to compute the output
How should I interpret the result hydraulic power?
The calculator outputs hydraulic power in W. For larger power values, divide by 1000 to express the result in kW, or by 745.7 for horsepower. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Actual volumetric flow rate (m^3/s), Reference volumetric flow rate (m^3/s), Actual head (m), Reference head (m), Actual rotational speed (rad/s), Reference rotational speed (rad/s), Reference hydraulic power (W). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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