Water is conveyed through a horizontal pipeline in which a Venturimeter is fitted

PHYSICS · Subjective · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids

Problem

Water is conveyed through a horizontal pipeline in which a Venturimeter is fitted. The inlet section of the pipe has a diameter of

25\,\text{cm}

while the throat diameter is

14\,\text{cm}

. A differential mercury manometer connected between the two taps of the Venturimeter shows a reading of

20\,\text{cm}

of mercury. Assume: density of water

\rho_{w}=1000\,\text{kg\,m}^{-3}

, density of mercury

\rho_{Hg}=13600\,\text{kg\,m}^{-3}

and

g=9.8\,\text{m\,s}^{-2}

. (a) Calculate the volume flow rate of water through the pipe. (b) The throat is now replaced by another throat whose diameter is to be chosen so that, with the same upstream conditions, the manometer shows a reading of

10\,\text{cm}

of mercury. Determine the new throat diameter (to the nearest millimetre). (c) Comment briefly on how the change in throat diameter affects the pressure difference and hence the accuracy of the Venturimeter.

Related theory

Browse the problem library