Velocity Head Calculator

Turn velocity into equivalent pressure head instantly here today. Switch units and check gravity assumptions. Use clean exports to share calculations with teams fast.

Choose what you want to compute.
Used for velocity input and output.
Used for head input and output.
Keep gravity consistent with your unit system.
Auto-fills gravity to reduce mistakes.
Required for head and velocity modes.
Required when computing head or gravity.
Required when computing velocity or gravity.
Reset
Tip: Velocity head is an energy head term. It converts speed into meters or feet of head.

Formula Used

Velocity head is the kinetic-energy head in fluid flow:

hᵥ = v² / (2g)

  • hᵥ is velocity head (m or ft).
  • v is flow velocity (m/s or ft/s).
  • g is gravitational acceleration (m/s² or ft/s²).
The calculator converts inputs to SI internally for consistency.

How to Use This Calculator

  1. Select what you want to compute: head, velocity, or gravity.
  2. Pick units for velocity, head, and gravity.
  3. Enter the required values shown with a red mark.
  4. Press Submit to display the result above.
  5. Use Download CSV or Download PDF for exporting.

Example Data Table

Velocity, v (m/s) Gravity, g (m/s²) Velocity head, hᵥ (m) Notes
2.0 9.80665 0.204 Low-speed flow in small pipes
5.0 9.80665 1.275 Typical distribution velocity
10.0 9.80665 5.099 Higher kinetic head, check losses
Values are computed using hᵥ = v²/(2g).

Velocity Head in Practice

1) Meaning of Velocity Head

Velocity head converts flow speed into an equivalent elevation head. It represents kinetic energy per unit weight in the Bernoulli equation. In SI terms, a speed of 5 m/s gives hᵥ ≈ 1.275 m when g = 9.80665 m/s², matching the example table.

2) Why It Matters in Design

Engineers use velocity head to compare energy terms consistently. In piping, velocity head helps interpret how speed changes influence total head, pump sizing, and downstream equipment. Higher velocity generally increases noise, vibration risk, and erosion in fittings.

3) Typical Velocity Ranges

For water distribution, common velocities are roughly 1–3 m/s, depending on noise and headloss limits. Around 2 m/s, hᵥ is about 0.204 m. At 10 m/s, hᵥ rises to about 5.099 m, which can be significant in energy budgets.

4) Relationship to Pressure

Head can be converted to pressure using p = ρgh. For water near 20°C (ρ ≈ 1000 kg/m³), 1 m of head corresponds to about 9.81 kPa. This makes velocity head useful for estimating the pressure change associated with sudden velocity variations.

5) Unit Consistency and Gravity

This calculator supports m/s and ft/s for velocity, and meters or feet for head. Gravity must match the chosen unit system. Standard Earth gravity is 9.80665 m/s² (or 32.174 ft/s²). Small g changes slightly shift results at high speeds.

6) Sensitivity to Velocity

Velocity head scales with v², so doubling velocity increases hᵥ by a factor of four. This is why modest speed increases can strongly affect energy terms and allowable headloss. It also explains why high-velocity systems demand careful material and support selection.

7) How to Use the Modes

Use “Find Velocity Head” when you know velocity and gravity. Use “Find Velocity” when you know the available head term and gravity. Use “Find Gravity” mainly for verification or educational checks where measured head and velocity are available.

8) Interpreting Results with Losses

Velocity head is not the same as friction loss, but it often appears alongside loss terms (major and minor losses). When comparing two pipe sections, changes in velocity head indicate energy redistribution, while losses represent energy dissipation.

FAQs

1) What is velocity head used for?

It expresses kinetic energy as an equivalent head term in Bernoulli calculations. It helps compare velocity effects against elevation head, pressure head, and loss terms in a consistent unit of length.

2) Why does velocity head increase so fast with speed?

Because hᵥ depends on v². If velocity doubles, velocity head becomes four times larger. This square relationship makes high-speed flows much more energy-intensive and more sensitive to measurement errors.

3) Is velocity head the same as head loss?

No. Velocity head is an energy term related to speed. Head loss is energy dissipated due to friction and fittings. Velocity head can change without losses, but losses always reduce total head.

4) Which gravity value should I choose?

Use standard Earth gravity for most engineering work: 9.80665 m/s² or 32.174 ft/s². If you must match a local standard or textbook value, choose the approximation option or enter g manually.

5) Can I compute velocity from a known velocity head?

Yes. Select “Find Velocity” and enter hᵥ and g. The calculator uses v = √(2ghᵥ). This is useful when velocity head is known from energy-grade-line calculations or test data.

6) What if my velocity head is zero?

A zero velocity head indicates zero velocity. In “Find Velocity” mode, entering hᵥ = 0 returns v = 0. For “Find Gravity,” hᵥ must be positive to avoid division by zero.

7) How accurate are the example values?

They are computed using standard gravity and the exact formula hᵥ = v²/(2g). Your results may differ slightly if you use a different g value or switch to feet-based units.

Built for quick checks, unit safety, and clean exports.

Related Calculators

reynolds number calculatorprandtl number calculatorhydraulic radius calculatorstagnation pressure calculatorpump affinity laws calculatorstagnation temperature calculatorhydraulic diameter calculatorfroude number calculatorcapillary number calculatornormal shock relations calculator

Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.