Fluid Mechanics in SWCE

The head loss due to a sudden expansion in a pipeline carrying water from pipe cross-section $A_1$ (velocity $v_1$) to $A_2$ (velocity $v_2$) is given by Borda-Carnot formula as:

Options:

• (A) $h_L = \frac{(v_1 - v_2)^2}{2g}$
• (B) $h_L = \frac{v_1^2 - v_2^2}{2g}$
• (C) $h_L = 0.5 \frac{v_2^2}{2g}$
• (D) $h_L = \frac{v_1^2}{2g}$