List of top Fluid Mechanics and Mechanical Operations Questions on Fluid statics asked in GATE CH

A Venturi meter with a throat diameter \( d = 2 \) cm measures the flow rate in a pipe of diameter \( D = 6 \) cm, as shown in the figure. A U-tube manometer is connected to measure the pressure drop. Assume the discharge coefficient is independent of the Reynolds number and geometric ratios. If the volumetric flow rate through the pipe is doubled (\( Q_2 = 2Q_1 \)), the corresponding ratio of the manometer readings \( \frac{\Delta_{h2}}{\Delta_{h1}} \), rounded off to the nearest integer, is ____.
Venturi meter
A cylindrical tank with a diameter of \(500\ \text{mm}\) contains water (density \(=1\ \text{g}\cdot\text{cm}^{-3}\)) up to a height \(h\). A \(5\ \text{mm}\) diameter round nozzle, whose center is \(1\ \text{cm}\) above the base of the tank, has its exit open to the atmosphere. The pressure above the water level in the tank is maintained at \(2\ \text{bar (abs)\). Neglect all frictional and entry/exit losses. Take \(g=10\ \text{m}\,\text{s}^{-2}\) and atmospheric pressure \(=1\ \text{bar}\). The absolute value of initial \(\dfrac{dh}{dt}\) (in \(\text{mm}\,\text{s}^{-1}\)) when \(h=51\ \text{cm}\) is ____________ (rounded off to two decimal places).}

Consider a tank filled with 3 immiscible liquids A, B, and C at static equilibrium. At 2 cm below the liquid A-liquid B interface, a tube is connected from the side of the tank. Both the tank and the tube are open to the atmosphere. At the operating temperature and pressure, the specific gravities of liquids A, B, and C are 1, 2, and 4, respectively. Neglect any surface tension effects in the calculations. The length of the tube \( L \) that is wetted by liquid B is \(\underline{\hspace{1cm}}\) cm.