The loss of head due to sudden enlargement in a pipe is expressed by:
(where symbols have their usual meanings)
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- $\dfrac{(V_1^2 - V_2^2)}{2g}$
- $\dfrac{(V_1^2 - V_2^2)}{g}$
- $\dfrac{(V_1 - V_2)}{2g}$
- $\dfrac{(V_1 - V_2)^2}{2g}$
The Correct Option is D
Solution and Explanation
Step 1: Recall the formula.
The head loss due to sudden enlargement in a pipe is given by:
\[
h_L = \frac{(V_1 - V_2)^2}{2g}.
\]
Step 2: Explanation.
This is derived from applying Bernoulli's equation and considering the energy loss due to mixing of flows at the expansion section.
Step 3: Conclusion.
Thus, the correct formula for head loss due to sudden enlargement is $\dfrac{(V_1 - V_2)^2}{2g}$.
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