Head loss equals loss coefficient times velocity squared divided by two times gravity

Solution

Share:

How It Works

Minor losses (hL = K × v²/2g) quantify energy lost at fittings, valves, bends, and other flow disturbances in a pipe system. The loss coefficient K is determined experimentally for each fitting type. In compact systems with many fittings, minor losses can exceed friction losses from straight pipe runs.

Example Problem

Water flows at 3 m/s through a fully open globe valve (K = 10). What is the head loss?

  1. hL = K × v² / (2g) = 10 × 9 / 19.62
  2. hL = 4.59 m

This is equivalent to the friction loss in roughly 90 m of 50 mm pipe.

Frequently Asked Questions

What is a loss coefficient (K value)?

K is a dimensionless number that quantifies energy loss through a fitting relative to the velocity head. A 90-degree elbow has K ≈ 0.9; a fully open globe valve has K ≈ 10. Higher K means more energy loss.

When do minor losses matter more than friction losses?

In short pipe runs with many fittings, such as building plumbing, HVAC systems, and compact process piping. In long pipelines with few fittings, friction (major) losses dominate.

What is the equivalent length method?

An alternative approach that converts each fitting into an equivalent length of straight pipe. For example, a standard 90-degree elbow might equal 30 pipe diameters of straight pipe. This simplifies total head loss calculations.

Related Calculators