The equivalent length method in pipe networks accounts for
- AMinor losses onlyCorrect
- BMajor losses only
- CPipe diameter changes
- DNone of the above
Solution
Concept
Equivalent Length Method
Formula
Yes, the formula for equivalent length is: Le = (K × D) / f Where: - Le = Equivalent length of pipe - K = Minor loss coefficient of the fitting/valve - D = Inside diameter of the pipe - f = Darcy friction factor
Step-by-step solution
1. Identify the minor loss coefficient (K), pipe diameter (D), and Darcy friction factor (f). 2. Substitute the values into the formula Le = (K \* D) / f. 3. Calculate Le to find the equivalent pipe length that causes the same head loss as the fitting or valve.
Explanation
The equivalent length method replaces the extra pressure loss caused by pipe fittings, valves, and bends (known as minor losses) with an equivalent extra length of straight pipe. This allows all minor losses to be converted into an additional length of straight pipe and easily added to the main pipeline length for calculations.
Shortcut
Think of EL as Extra Length added specifically to replace Minor Losses from fittings and valves.
Common mistake
Many students confuse equivalent length with major friction losses in straight pipes and mistakenly select "Major losses only" or assume it accounts for all/both total losses, forgetting that the equivalent length method specifically converts minor losses from pipe fittings, valves, and bends into an equivalent length of straight pipe.
Correct answer: A) Minor losses only