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The speed of a liquid flowing through a ...

The speed of a liquid flowing through a pipe increases and its pressure decreases when liquid passes through a narrow constriction in the pipe. Why?

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When a liquid while flowing through a pipe passes through a narrow constriction in the pipe, the velocity of liquid increases because `(upsilon prop 1//area)` ac cording to equation of continuity. Ac cording to Bernoulli's equation for a horizontal flow of liquid through a pipe.
`P+1/2 rho upsilon^(2) = "a constant"`
It means where `upsilon` is large, P is small and viceversa. Since velocity is high at the narrow constriction, hence the pressure is low there.
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Knowledge Check

  • When a fluid passes through the constricted part of a pipe ,its :

    A
    velocity and pressure decrease
    B
    velocity and pressure increase
    C
    velocity decreases and pressure increases.
    D
    velcity increases and pressure decreases.

  • If the speed of a liquid flowing horizontally increases at a place, then the quantity that decreases there is

    A
    Kinetic energy
    B
    Potential energy
    C
    Pressure
    D
    Density

  • The freezing point of the liquid decreases when pressure is increased, if the liquid

    A
    Expands while freezing
    B
    Contracts while freezing
    C
    Does not change in volume while freezing
    D
    None of these

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