Hydraulic Gradient Line Quiz

The Darcy-Weisbach equation, given as $h_f = f \frac{L}{D} \frac{v^2}{2g}$, is used to calculate the head loss (or power loss) in a pipe due to fluid flow. In the context of sudden enlargement, it can be used to determine the loss in a particular section of the pipe by considering the change in diameter and applying the equation to that section.

The velocity of the fluid can be calculated using the formula $v = \frac{Q}{A}$, where $Q$ is the flow rate and $A$ is the cross-sectional area of the pipe.

The Bernoulli's equation, given as $P + \frac{1}{2}\rho v^2 + \rho gh = constant$, relates the pressure, velocity, and elevation of a fluid along a streamline. In this scenario, it can be applied to calculate the pressure at different sections of the pipe and analyze the effects of sudden enlargement.

<p>To calculate the power loss using the Darcy-Weisbach equation, the following information is needed: the length of the pipe section ($L$), the diameter of the pipe ($D$), the fluid velocity ($v$), the acceleration due to gravity ($g$), and the friction factor ($f$).</p> Signup and view all the answers

<p>The Reynolds number ($Re$) can be calculated using the formula $Re = \frac{\rho v D}{\mu}$, where $\rho$ is the density of the fluid, $v$ is the velocity, $D$ is the diameter of the pipe, and $\mu$ is the dynamic viscosity of the fluid.</p> Signup and view all the answers