Recognize continuity equation as a form of conservation of mass.
\[Q= A_1 \times v_1 = A_2 \times v_2\] Where: Q = the volumetric flow rate (m\(^3\)/s) A = the cross sectional area of flow (m\(^2\)) v = the mean velocity (m/s)
10 m$^3$/h of water flows through a pipe with 100 mm inside diameter. The pipe is reduced to an inside dimension of 80 mm. Using continuity equation, calculate the velocity in the 100 mm pipe.
A fluid flowing through a pipe of diameter 450 mm with velocity 3 m/s is divided into two pipes of diameters 300 mm and 200 mm. The velocity of flow in 300 mm diameter pipe is 2.5 m/s, then the velocity of flow through 200 mm diameter pipe will be: (ESE Mechanical 2014)
When 0.1 m$^3$/s water flows through a pipe of area 0.25 m$^2$, which later reduces to 0.1 m$^2$, what is the velocity of flow in the reduced pipe? (SSC JE CE Oct 2020 Morning)
If an incompressible fluid enters a pipe with a velocity of 4 cm/s and moves out with a velocity of 2 cm/s, calculate the cross sectional area of the inlet if the diameter of the pipe at the outlet is 7 cm. (UPPCL JE CE 2016)
Water is coming out from a tap and falls vertically downwards. At the tap opening, the stream diameter is 20 mm with a uniform velocity of 2 m/s. Acceleration due to gravity is 9.81 m/s^2. Assuming steady, inviscid flow, constant atmospheric pressure everywhere and neglecting curvature and surface tension effects, the diameter in mm of the stream 0.5 m below the tap is approximately. (GATE ME 2013)