Quick Answer
Calculate Hydraulic Accumulator Volume for Energy Recovery and Pulsation Dampening
Calculator
Result Interpretation
Hydraulic Accumulator Volume for Energy Recovery and Pulsation Dampening Calculator computes Required Accumulator Gas Volume in m^3 using the defined engineering formula and the input values provided. Required Accumulator Gas Volume is expressed in m^3. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Polytropic Exponent = 1.2
- Maximum System Pressure = 20000000
- Minimum System Pressure = 8000000
- Volumetric Efficiency = 0.9
- Flow Variation Amplitude = 0.0015
- Cylinder Stroke Duration = 1.8
Expected Result:
- Required Accumulator Gas Volume = 0.0056179482842524
Engineering Interpretation:
Under the given input conditions, the calculated result is: Required Accumulator Gas Volume = 0.0056179482842524 m^3.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.
Formula / Method
required accumulator gas volume = (flow variation amplitude * cylinder stroke duration) / (volumetric efficiency * (1 - pow(minimum system pressure / maximum system pressure, 1 / polytropic exponent)))Formula family: formula_hydraulics_hydraulic_accumulator_sizing_for_energy_recovery_and_pulsation_dampening
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| delta_Q | Flow Variation Amplitude | INPUT | Flow Variation Amplitude |
| stroke_time | Cylinder Stroke Duration | INPUT | Cylinder Stroke Duration |
| P_min | Minimum System Pressure | INPUT | Minimum System Pressure |
| P_max | Maximum System Pressure | INPUT | Maximum System Pressure |
| eta_v | Volumetric Efficiency | INPUT | Volumetric Efficiency |
| k | Polytropic Exponent | INPUT | Polytropic Exponent |
| accumulator_volume | Required Accumulator Gas Volume | OUTPUT | Required Accumulator Gas Volume |
Calculation Steps
- Enter the flow variation amplitude in m^3/s.
- Enter the cylinder stroke duration in s.
- Enter the minimum system pressure in Pa.
- Enter the maximum system pressure in Pa.
- Enter the volumetric efficiency in 1.
- Enter the polytropic exponent in 1.
- Step 1: Compute required accumulator gas volume.
- Read the required accumulator gas volume (m^3) from the results.
Engineering Summary
Calculate Hydraulic Accumulator Volume for Energy Recovery and Pulsation Dampening
Frequently Asked Questions
What does this calculator calculate?
The Hydraulic Accumulator Volume for Energy Recovery and Pulsation Dampening Calculator estimates Required Accumulator Gas Volume based on the input parameters you provide
Why is flow variation amplitude important in this calculation?
flow variation amplitude is directly proportional to required accumulator gas volume. When you enter flow variation amplitude in m^3/s, the calculator uses it in the engineering formula to compute the output
How should I interpret the result required accumulator gas volume?
The calculator outputs required accumulator gas volume in m^3. 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: Flow Variation Amplitude (m^3/s), Cylinder Stroke Duration (s), Minimum System Pressure (Pa), Maximum System Pressure (Pa). 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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