List of top Fluid Mechanics and Mechanical Operations Questions

A large tank is filled with water (density \(=1\ \mathrm{g\,cm^{-3}}\)) up to a height of \(5\ \mathrm{m}\). A \(100\ \mu\mathrm{m}\) diameter solid spherical particle (density \(=0.8\ \mathrm{g\,cm^{-3}}\)) is released at the bottom of the tank. The particle attains its terminal velocity \((v_t)\) after traveling to a certain height in the tank. Use acceleration due to gravity as \(10\ \mathrm{m\,s^{-2}}\) and water viscosity as \(10^{-3}\ \mathrm{Pa\,s}\). Neglect wall effects on the particle. If Stokes’ law is applicable, the absolute value of \(v_t\) (in \(\mathrm{mm\,s^{-1}}\)) is ________________ (rounded off to two decimal places).

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).}

Which of the following statements is/are CORRECT?

For a fully developed turbulent flow of an incompressible Newtonian fluid through a pipe of constant diameter, which of the following statements is/are CORRECT?

The viscosity of an incompressible Newtonian fluid is measured using a capillary tube of diameter \(0.5\ \text{mm}\) and length \(1.5\ \text{m}\). The fluid flow is laminar, steady and fully developed. For a flow rate of \(1\ \text{cm}^3\text{s}^{-1}\), the pressure drop across the length of the tube is \(1\ \text{MPa}\). If the viscosity of the fluid is \(k \times 10^{-3}\ \text{Pa}\cdot\text{s}\), the value of \(k\) is ____________________ (rounded off to two decimal places).

Given that \(E\) (in W\(\cdot\)m\(^{-2}\)) is the total hemispherical emissive power of a surface maintained at a certain temperature, which of the following statements is/are CORRECT?

A packed distillation column, with vapor having an average molecular weight of \(45~\text{kg}\cdot\text{kmol}^{-1}\), density of \(2~\text{kg}\cdot\text{m}^{-3}\) and a molar flow rate of \(0.1~\text{kmol}\cdot\text{s}^{-1}\), has a flooding velocity of \(0.15~\text{m}\cdot\text{s}^{-1}\). The column is designed to operate at \(60%\) of the flooding velocity. Which one of the following is the CORRECT value for the column diameter (in m)?

Which one of the following quantities of a flowing fluid is measured using a rotameter?

For a packed-bed comprising of uniform-sized spherical particles of diameter \(D_p\), the pressure drop across the bed is given by the Kozeny–Carman (laminar Ergun) equation when the particle Reynolds number \((Re_p)<1\). Under this condition, minimum fluidization velocity is proportional to \(D_p^{\,n}\). Which one of the following is the CORRECT value of exponent \(n\)?

A soil sample was consolidated at a cell pressure of 10 K Pa for 24 hours during a cu test. The cell pressure increases to 30. Now it results in a core water pressure increment of 1 K Pa. Soil failed when the agsist test gradually increased to 50 K Pa. Core water pressure at failure was recorded as 21 K Pa. What is the scamton core water pressure B?