Free Engineering Tool

Valve Flow Coefficient Calculator

Bidirectional Kv/Cv calculator for valve sizing. Calculate Kv from flow + ΔP, flow from Kv + ΔP, or ΔP from Kv + flow. Supports liquid and gas.

Kv / Cv Liquid & Gas Bidirectional Cv = 1.156 × Kv
Quick presets

Results

Flow Coefficient Kv
Cv (US)
Flow Rate
Pressure Drop
Recommended Valve Kv (×1.3)
Recommended Valve Cv (×1.3)

Kv for Liquid Flow

The flow coefficient Kv (European standard) is defined as the flow of water in m³/h through a valve at 1 bar pressure drop:

  • Kv — flow coefficient (m³/h at ΔP = 1 bar)
  • Q — volumetric flow rate (m³/h)
  • SG — specific gravity (water = 1.0; hydraulic oil ≈ 0.87)
  • ΔP — pressure drop across valve (bar)

Kv for Gas Flow

For compressible gas flow (subcritical, P2 > 0.53 × P1):

  • Qn — flow rate at normal conditions (Nm³/h, 0°C, 1.013 bar)
  • P1, P2 — upstream and downstream absolute pressures (bar)
  • T — gas temperature (K)
  • Z — compressibility factor (1.0 for ideal gas)

Kv ↔ Cv Conversion

Cv is the US/imperial equivalent: flow in US GPM of water at ΔP = 1 psi and 60°F.

Valve Sizing Guide

Valve TypeTypical Kv RangeNotes
Ball valve DN1510 – 40Full bore preferred for hydraulics
Ball valve DN2550 – 200Low pressure drop at full open
Ball valve DN50250 – 800Most common in process
Globe valve DN258 – 15Good for throttling/control
Globe valve DN5025 – 50Higher ΔP than ball
Butterfly DN100300 – 600Compact, large flows
Needle valve0.1 – 5Fine flow adjustment

Practical Example

Example — Hydraulic Directional Valve

Given: Q = 60 L/min hydraulic oil (SG = 0.87), ΔP = 5 bar

Convert: Q = 60 / 1000 × 60 = 3.6 m³/h

Kv = 3.6 × √(0.87 / 5) = 3.6 × 0.417 = 1.50

Cv = 1.50 × 1.156 = 1.74

Recommended valve Kv ≥ 1.50 × 1.3 = 1.95 (with safety margin)

⚠️ Note: For critical applications, also check: cavitation index (FL factor), noise level, rangeability, and dynamic response. Consult the valve manufacturer’s sizing software for final selection.

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