Easy
What is steady flow?
(N/A) Steady flow is defined as a type of fluid motion in which the velocity of the fluid particles at any given point in space remains constant with respect to time.
In other words,at any fixed point in the path of the fluid,the velocity vector does not change as time passes.
Mathematically,for a steady flow,the velocity $v$ at a point $(x, y, z)$ satisfies the condition $\frac{\partial v}{\partial t} = 0$.
In other words,at any fixed point in the path of the fluid,the velocity vector does not change as time passes.
Mathematically,for a steady flow,the velocity $v$ at a point $(x, y, z)$ satisfies the condition $\frac{\partial v}{\partial t} = 0$.
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The figure below shows a liquid being pushed out of a tube by a piston having a cross-sectional area of $2.0\,cm^2$. The cross-sectional area at the outlet is $10\,mm^2$. If the piston is pushed at a speed of $4\,cm/s$,the speed of the outgoing fluid is $.........\,cm/s$.
$A$ water spray gun is attached to a hose of cross-sectional area $30 \text{ cm}^2$. The gun comprises $10$ perforations, each of cross-sectional area $15 \text{ mm}^2$. If the water flows in the hose with a speed of $50 \text{ cm/s}$, calculate the speed at which the water flows out from each perforation. (Neglect any edge effects)
DifficultJEE MAIN 2026
View SolutionAn ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and minimum diameters of the pipe are $6.4 \; cm$ and $4.8 \; cm,$ respectively. The ratio of the minimum and the maximum velocities of the fluid in this pipe is:
Explain streamlines and streamline flow.
Medium
View SolutionAssertion $(A):$ The stream of water flowing at high speed from a garden hose pipe tends to spread like a fountain when held vertically up but tends to narrow down when held vertically down.
Reason $(R):$ In any steady flow of an incompressible fluid,the volume flow rate of the fluid remains constant.
Reason $(R):$ In any steady flow of an incompressible fluid,the volume flow rate of the fluid remains constant.
MediumAIIMS 2015
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