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Hydraulic Orifice Flow & Discharge Coefficient Calculator

Flow restrictors and control orifices govern throttling in fluid power systems, fuel injectors, and hydraulic manifolds.

Calculated Result
78.31 L/min

Volumetric Flow Rate (Q)

Flow Velocity at Vena Contracta

66.5 m/s

Hydraulic Heat Dissipation

6.53 kW

Discharge Coefficient (C_d)

0.62

Calculation Breakdown

  1. Q = C_d · A₀ · √(2·ΔP / ρ)78.31 L/min
  2. Power Loss: P = ΔP · Q6.53 kW

What Is the Hydraulic Orifice Flow & Discharge Coefficient Calculator?

Flow restrictors and control orifices govern throttling in fluid power systems, fuel injectors, and hydraulic manifolds.

This tool computes volumetric discharge rate and associated heat dissipation power from orifice geometry, differential pressure, and fluid density.

How Does the Hydraulic Orifice Flow & Discharge Coefficient Calculator Work?

The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.

Hydraulic Orifice Flow & Discharge Coefficient Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Q = C_d · A_0 · √(2 · ΔP / ρ), Power = ΔP · Q

Torricelli orifice discharge equation multiplied by orifice contraction and velocity coefficient C_d.

How to Use the Hydraulic Orifice Flow & Discharge Coefficient Calculator

  1. Enter your primary measurements in the input fields above.
  2. Select your preferred units (e.g. metric or imperial) if applicable.
  3. Review or adjust operational assumptions such as field efficiency.
  4. Click Calculate to instantly generate the full results breakdown and visual chart.
  5. Use the Reset button at any time to clear the form and test a new scenario.

Step-by-Step Example Calculation

5mm spool valve damping orifice at 50 bar differential pressure

Input Values:

orificeDiameterMm:5
pressureDropBar:50
fluidDensityKgM3:870
dischargeCoefficientCd:0.62
Worked Steps: Generates ~130.6 L/min flow rate with 10.9 kW hydraulic power dissipation.

Understanding Your Result

Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.

Factors That Affect the Result

Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.

When Should You Use This Calculator?

Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.

Assumptions & Limitations

  • Fluid Mechanics
  • Hydraulics
  • Thermodynamics

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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