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Loss of energy per unit volume due to friction in case of flow through a pipe at length L and diameter D is expressed as
$$4fL \frac{v^2}{2gD}$$
$$4f \left(\frac{L}{D}\right) \times \left(\frac{v^2}{g}\right)$$
$$4f \left(\frac{L}{D}\right) \left(\frac{\rho v^2}{2g}\right)$$
$$4f \left(\frac{L}{D}\right) \times \left(\frac{\rho v^2}{2}\right)$$
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