EASY
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What is streamline and turbulent flow?

Important Questions on Fluid Dynamics

HARD
Consider the wall of a dam to be straight with height H and length L. It holds a lake of water of height hh<H on one side. Let the density of water be ρw Denote the torque about the axis along the bottom length of the wall by τ1. Denote also a similar torque due to the water up to height h2 and wall length L2 by τ2. Then, τ1τ2 (ignore atmospheric pressure) is
EASY
A air bubble of radius 1 cm in water has an upward acceleration of 9.8 cm s2. The density of water is 1 gm cm3 and water offers negligible drag force on the bubble. The mass of the bubble is g = 980 cm/s2.
HARD

Consider the configuration of a stationary water tank of cross-section area A0 and a small bucket as shown in figure below;

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What should be the speed v of the bucket, so that the water leaking out of a hole of cross-section area A (as shown) from the water tank does not fall outside the bucket?

(Take, h=5 m, H=5 m, g=10 m s-2, A=5 cm2 and A0=500 cm2).

HARD
A very large block of ice of the size of a volleyball court and of uniform thickness of 8 m is floating on water. A person standing near its edge wishes to fetch a bucketful of water using a rope. The smallest length of rope required for this is about
HARD
A very large block of ice of the size of a volleyball court and of uniform thickness of 8 m is floating on water. A person standing near its edge wishes to fetch a bucketful of water using a rope. The smallest length of rope required for this is about
HARD
Air (density ρ ) is being blown on a soap film (surface tension T ) by a pipe of radius R with its opening right next to the film. The film is deformed and a bubble detaches from the film when the shape of the deformed surface is a hemisphere. Given that the dynamic pressure on the film due to the air blown at speed v is 12ρv2, the speed at which the bubble formed is
MEDIUM
A hollow spherical shell at outer radius R floats just submerged under the water surface. The inner radius of the shell is r . If the specific gravity of the shell material is 278 with respect to water, the value of r is:
HARD
A bubble of radius R in water of density ρ is expanding uniformly at speed v. Given that water is incompressible, the kinetic energy of water being pushed is
EASY

Consider the following statements:

1. Taking into account, the fact that any object which floats must have an average density less than that of water during World War 1, a number of cargo vessels were made of concrete.

2. Concrete cargo vessels were filled with air.

3. A ship floats higher in the water on a high-pressure day than on a low-pressure day.

4. Floating of the ship in the water is not possible because of the buoyancy force which is present due to pressure difference.

Which of the statements given above are correct?

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The velocity of liquid flowing through a tube at certain distance from the axis of tube
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In the case of flow of a liquid through a tube, if the Reynold's number is less than2000, the flow is
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Water flows through two identical tubes A and B. A volume V0 of water passes through the tube A and 2V0 through B in a given time. Which of the following may be correct?
MEDIUM
The rate of steady volume flow of water through a capillary tube of length l and radius r, under a pressure difference of p si V. This tube is connected with another tube of the same length but half the radius, in series. Then the rate of steady volume flow through them is (The pressure difference across the combination is p)
EASY
Water is flowing through a very narrow tube. The velocity of water below which the flow remains a streamline flow is known as
HARD
Under a pressure difference p the rate of flow of water through a capillary tube of length l and radius r is IF. If instead of this tube, a set of four tubes each of length 2l and radius r2 is connected to the same pressure difference, the rate of flow of water would be
HARD

A massless container is filled with liquid of density ρ. It contains two holes as shown in figure. Container rests on ground. Area of the two holes are A each. Container is filled with liquid upto height H. Then -
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MEDIUM

 

A container with square base of side a hight H with a liquid. A hole is made at a depth h from the free surface of water. With what acceleration the container must be accelerated, so that the water does not come out?

EASY
Identify the turbulent flow from the following statements.
MEDIUM
A jet of water having velocity=10 m s-1 and stream cross-section=2 cm2 hits a flat plate perpendicularly, with the water splashing out parallel to plate. Find the force that the plate experiences