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List of top Fluid Mechanics and Thermal Sciences Questions on Control-volume analysis of mass, momentum and energy

A tube of uniform diameter $D$ is immersed in a steady flowing inviscid liquid stream of velocity $V$, as shown in the figure. Gravitational acceleration is $g$. The volume flow rate through the tube is ________________.
  • GATE ME - 2022
  • GATE ME
  • Fluid Mechanics and Thermal Sciences
  • Control-volume analysis of mass, momentum and energy

A high velocity water jet of cross section area = 0.01 m² and velocity = 35 m/s enters a pipe filled with stagnant water. The diameter of the pipe is 0.32 m. This high velocity water jet entrains additional water from the pipe and the total water leaves the pipe with a velocity 6 m/s as shown in the figure. 

The flow rate of entrained water is \(\underline{\hspace{1cm}}\) litres/s (round off to two decimal places).

  • GATE ME - 2021
  • GATE ME
  • Fluid Mechanics and Thermal Sciences
  • Control-volume analysis of mass, momentum and energy