Streamline Flow

A laminar stream is flowing vertically down from a tap of cross-section area 1 cm². At a distance 10 below the tap, the cross-section area of the stream has reduced to 1/2 cm^​2. Find the volumetric flow rate of water from the tap

A cylindrical vessel open at the top is 20 cm high and 10 cm in diameter. A circular hole whose cross-sectional area 1cm² is cut at the centre of the bottom of the vessel. Water flows from a tube above it into the vessel at the rate 100 cm³ s^​-1 . Find the height of water in the vessel under steady state.

What should be the average velocity of water in a tube of radius $0.005 \mathrm{m}$ so that the flow is just turbulent? The viscosity of water is $0.001 \mathrm{Pa} \mathrm{s}$ 

Figure below shows a liquid being pushed out of the tube by a piston having area of cross section $2.0 {\mathrm{cm}}^2$. The area of cross section at the outlet is $10 {\mathrm{mm}}^2$. If the piston is pushed at a speed of $4 \mathrm{cm} {\mathrm{s}}^{-1}$, the speed of outgoing fluid is _____ $\mathrm{cm} {\mathrm{s}}^{-1}$

Water flows through a horizontal pipe of variable cross-section at the rate of $1$ litre per minute. Determine the velocity of water at a point where the diameter is $2 \mathrm{cm}$.

If the gas in container has pressure $77 \mathrm{cm}$ of Hg, then calculate the height difference in manometer (in cm) which contains glycerine. Density of glycerine is one-fourth of that of mercury.

$480 {\mathrm{m}}^3$ of air is being removed from a room in $20$ mins via duct. If air is moving outside with speed of $2.5 \mathrm{m} {\mathrm{s}}^{-1}$. The shape and dimension of the duct should be

A) a square with each side length $0.4 \mathrm{m}$

B) a rectangle with dimensions $25 \mathrm{cm}\times 64 \mathrm{cm}$

C) a square with each side length $1.26 \mathrm{m}$

D) a rectangle with dimensions $90 \mathrm{cm}\times 177 \mathrm{cm}$

A horizontal jet of water coming out of a pipe of area of cross-section $20{ \mathrm{cm}}^2$ hits a vertical wall With a velocity of $10 {\mathrm{m} \mathrm{s}}^{-1}$ and rebounds with the same speed. The force exerted by water on the wall is.

"Two streamlines cannot cross each other". Why ?

Distinguish between streamline flow and turbulent flow.

If water is flowing in a pipe of non-uniform cross-section where one end is of $0.5m^2$ and other end is of $2m^2$. If the velocity of water at the first end is $1 m{s}^{-1}$, then find the velocity at other end?

In the siphon system in action shown in the figure $V$ refers to velocity, $P$ refers to pressure, then incorrect statement of the following

A liquid flows through a horizontal tube. The velocities of the liquid in the two sections which have areas of cross section $A_1 \&{ A}_2$ are $v_1,v_2$ respectively. The difference in the levels of liquid in the two vertical tubes is $h$:

Continuity equation is related to conservation of mass.

The simplified equation of continuity is represented as

Define streamline flow

In case of streamline flow the velocity will be constant.

A viscous fluid is flowing through a cylindrical tube. The velocity distribution of the fluid is best represented by the diagram

 Turbulent flow tends to occur at higher velocities, low viscosity.

A streamline may be defined as the path, straight or curved, the tangent to which at any point gives the direction of the flow of liquid at that point.