Types of Flow, Reynolds Number & Continuity

In case of liquid, if Reynold's number '$R_n$' is $1450$, then the flow of liquid will

In case of fluid flowing on horizontal surface the flow of fluid becomes unsteady when Reynolds number (Rn) is

An in-compressible fluid flows steadily through a horizontal cylindrical pipe. The pipe has radius '$3R$' at point A and '$1.5R$' at point B, further along the flow direction at the same level. If the velocity at point A is '$v$', then that at point B is

Water flows through a horizontal pipe at a speed 'V'. Internal diameter of the pipe is 'd'. If the water is emerging at a speed '$V_1$ ' then the diameter of the nozzle is

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A water spray gun is attached to a hose of cross sectional area $30\text{ cm}^2$. The gun comprises of 10 perforations each of cross sectional area of $15\text{ mm}^2$. If the water flows in the hose with the speed of $50\text{ cm/s}$, calculate the speed at which the water flows out from each perforation. (Neglect any edge effects)

Water flows through a horizontal pipe of varying cross-section at the rate of $\pi \times 10^{-1}\text{ m}^3/\text{s}$. The velocity of water at a point where the radius of the pipe is 10 cm is $(\pi = 3.14)$

An incompressible fluid flows steadily through a cylindrical pipe having radius R at point A and $\left(\frac{R}{3}\right)$ at point B further along the direction of flow of liquid. If the velocity at point A is ' V ' then that at point B is

Select the WRONG statement from the following. In a streamline flow

A fluid of density '$\rho$' is flowing through a uniform tube of diameter '$d$'. The coefficient of viscosity of the fluid is '$\eta$', then critical velocity of the fluid is

A fluid of density '$\rho$' and viscosity '$\eta$' is flowing through a pipe of diameter '$d$', with a velocity '$v$'. Reynold number is

Water flows through a horizontal pipe at a speed '$V$'. Internal diameter of the pipe is '$d$'. If the water is coming out at a speed '$V_1$' then the diameter of the nozzle is

If $\rho$ is the density and $\eta$ is coefficient of viscosity of fluid which flows with a speed v in the pipe of diameter d, the correct formula for Reynolds number Re is:

A pressure-pump has a horizontal tube of cross sectional area $10\text{ cm}^2$ for the outflow of water at a speed of $20\text{ m/s}$. The force exerted on the vertical wall just in front of the tube which stops water horizontally flowing out of the tube, is:

[given: density of water $= 1000\text{ kg/m}^3$]

A block of metal weighing 2 kg is resting on a frictionless plane (as shown in figure). It is struck by a jet releasing water at a rate of 1 kgs${}^{-1}$ and at a speed of 10 ms${}^{-1}$. Then, the initial acceleration of the block, in ms${}^{-2}$, will be:

A glass tube of uniform cross-section is connected to a tap with a rubber tube. The tap is opened slowly. Initially the flow of water in the tube is streamline. The speed of flow of water to convert it into a turbulent flow is [radius of tube $= 1\text{ cm}, \eta = 1 \times 10^{-3}\,\frac{\text{Ns}}{\text{m}^2}, R_n = 2500$ and density of water $= 10^{3}\text{ kg/m}^3$ ]

What will be the nature of flow of water from a circular tap, when its flow rate increased from 0.18 L/min to 0.48 L/min? The radius of the tap and viscosity of water are 0.5 cm and 10$-$3 Pa s, respectively. (Density of water: 103 kg/m3)

An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and minimum diameters of the pipes are 6.4 cm and 4.8 cm, respectively. The ratio of the minimum and the maximum velocities of fluid in this pipe is:

Water from a pipe is coming at a rate of 100 litres per minute. If the radius of the pipe is 5 cm, the Reynolds number for the flow is of the order of: (density of water = 1000 kg/m3, coefficient of viscosity of water = 1mPas)

Water from a tap emerges vertically downwards with an initial speed of 1.0 ms–1. The cross- sectional area of the tap is 10–4 m2. Assume that the pressure is constant throughout the stream of water and that the flow is streamlined. The cross-sectional area of the stream, 0.15 m below the tap would be: (Take g = 10 ms–2)

A liquid of density $\rho$ is coming out of a hose pipe of radius a with horizontal speed $v$ and hits a mesh. 50% of the liquid passes through the mesh unaffected. 25% looses all of its momentum and 25% comes back with the same speed. The resultant pressure on the mesh will be:

If it takes 5 minutes to fill a 15 litre bucket from a water tap of diameter $\frac{2}{\sqrt{\pi}}$ cm then the Reynolds number for the flow is (density of water = 103 kg/m3 and viscosity of water = 10$-$3 Pa.s) close to:

Water is flowing continuously from a tap having an internal diameter $8 \times 10^{-3}\text{ m.}$ The water velocity as it leaves the tap is $0.4\text{ ms}^{-1}$. The diameter of the water stream at a distance $2 \times 10^{-1}\text{ m}$ below the tap is close to: