Water is flowing through a horizontal pipe in streamline flow. At the narrowest part of the pipe

Water is flowing through a horizontal pipe in streamline flow. At the narrowest part of the pipe
  1. velocity is max and pressure is min
  2. pressure is max and velocity is min
  3. Both pressure and velocity are max
  4. Both velocity and pressure are min

Solution

According to Bernoulli's theorem, for stream line flow through horizontal pipe. \(p+\frac{1}{2} \rho V^2=\text { constant }\) ...(i) where, \(p=\) pressure, \(v=\) velocity of liquid and \(\rho=\) density of liquid. Hence, according to principle of continuity, at narrowest part of the pipe, velocity is maximum. Hence from Eq. (i), pressure is minimum at narrowest part of the pipe.

Asked in: AP EAMCET 2020 (21 Sep Shift 1)

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