ENGINEERING – PIPE FLOW & WATER UPPLY CALCULATOR
Pipe Expansion Loss
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What is the Pipe Expansion Loss & How does it work?
When a fluid passes through a sudden expansion, the kinetic energy of the flow is partially converted into turbulence and eddies, producing a loss of head known as the BordaβCarnot loss. The loss can be expressed directly in terms of the velocity difference between the upstream and downstream sections, which are related to the flow rate and pipe diameters. Engineers use this relationship to size pipe expansions and to estimate the additional pump power required to overcome the loss.
h_L = \frac{(V_1 – V_2)^2}{2g} = \frac{\left(\frac{Q}{A_1} – \frac{Q}{A_2}\right)^2}{2g}
h_L = head loss (m) V_1 = upstream velocity (m/s) V_2 = downstream velocity (m/s) g = gravitational acceleration (m/sΒ²) Q = flow rate (mΒ³/s) A_1, A_2 = crossβsectional areas (mΒ²)
Parameters
Result
β
Frequently Asked Questions
What is the Borda-Carnot equation used for?
The Borda-Carnot equation calculates the head loss due to sudden expansion in a pipe, accounting for energy conversion into turbulence.
How do I calculate upstream velocity (V1)?
Upstream velocity (V1) is calculated by dividing the flow rate (Q) by the cross-sectional area of the upstream section (A1).
What factors affect pipe expansion loss?
Pipe expansion loss depends on the difference in velocities between the upstream and downstream sections, influenced by flow rate and pipe diameters.
How do I convert head loss to pressure loss?
To convert head loss (h_L) to pressure loss (P_L), multiply h_L by the fluid density (Ο) and gravitational acceleration (g): P_L = Ο * g * h_L.
What is the significance of sudden expansion in piping systems?
Sudden expansion can lead to significant head loss due to energy conversion into turbulence, affecting system efficiency and performance.
Results are for informational purposes only and do not constitute professional advice.