Fluid Dynamics · Fluid Mechanics · GATE ME

Consider an isentropic flow of air (ratio of specific heats = 1.4) through a duct as shown in the figure. The variations in the flow across the cross...

Consider a steady flow through a horizontal divergent channel, as shown in the figure, with the supersonic flow at the inlet. The direction of flow is...

In the following two-dimensional momentum equation for natural convection over a surface immersed in a quiescent fluid at temperature T∞ (g is the gra...

The figure shows a purely convergent nozzle with a steady, inviscid compressible flow of an ideal gas with constant thermophysical properties operatin...

Navier Stoke's equation represents the conservation of

In a venturimeter, the angle of the diverging section is more than that of converging section.

Bernoulli’s equation can be applied between any two points on a stream line for a rotational flow field.

Shown below are three pipe sections through which water flows as shown. Option $$(a)$$ to $$(d)$$ below pertain to the direction of the net force on t...

In a band operated liquid sprayer (figure shown below) the liquid from the container rises to the top of the tube because of : ...

In the pipe network shown in the figure, all pipes have the same cross-section and can be assumed to have the same friction factor. The pipes connecti...

Steady, compressible flow of air takes place through an adiabatic converging-diverging nozzle, as shown in the figure. For a particular value of press...

The velocity field of a certain two-dimensional flow is given by V(𝑥, 𝑦) = 𝑘(𝑥𝑖̂ − 𝑦𝑗̂) where 𝑘 = 2 s-1. The coordinates 𝑥 and 𝑦 are in me...

Consider a unidirectional fluid flow with the velocity field given by V(𝑥, 𝑦, 𝑧, 𝑡) = 𝑢(𝑥, 𝑡) 𝑖̂ where 𝑢(0,𝑡) = 1. If the spatially homoge...

An explosion at time t = 0 releases energy 𝐸 at the origin in a space filled with a gas of density ρ. Subsequently, a hemispherical blast wave p...

A tube of uniform diameter D is immersed in a steady flowing inviscid liquid stream of velocity V, as shown in the figure. Gravitational acceleration ...

The steady velocity field in an inviscid fluid of density 1.5 is given to be $\vec{V}=(y^2-x^2)\hat{i}+(2xy)\hat{j} $. Neglecting body forces, the pre...

A solid spherical bead of lead (uniform density = 11000 kg/m3) of diameter d = 0.1 mm sinks with a constant velocity V in a large stagnant pool of a l...

Consider steady, one-dimensional compressible flow of a gas in a pipe of diameter 1 m. At one location in the pipe, the density and velocity are 1 kg/...

The arrangement shown in the figure measures the velocity $$V$$ of a gas of density $$1kg/{m^3}$$ flowing through a pipe. The acceleration due to grav...

A $$60$$ $$mm$$ $$-$$ diameter water jet strikes a plate containing a hole of $$40mm$$ diameter as shown in the figure. Part of the jet passes through...

The water jet exiting from a stationary tank through a circular opening of diameter $$300$$ $$mm$$ impinges on a rigid wall as shown in the figure. Ne...

Water $$\left( {\rho = 1000kg/{m^3}} \right)$$ flows through a venturimeter with inlet diameter $$80$$ $$mm$$ and throat diameter $$40$$ $$mm.$$ The ...

A Prandtl tube (Pitot-static tube with $$C=1$$) is used to measure the velocity of water. The differential manometer reading is $$10$$ mm of liquid co...

An ideal water jet with volume flow rate of $$0.05{m^3}/s$$ strikes a flat plane placed normal to its path and exerts a force of $$1000N.$$ Considerin...

A siphon is used to drain water from a large tank as shown in the figure below. Assume that the level of water is maintained constant. Ignore friction...

Water is coming out from a tap and falls vertically downwards. At the tap opening, the stream diameter is $$20$$ $$mm$$ with uniform velocity of $$2$$...

A large tank with a nozzle attached contains three immiscible, inviscid fluids as shown. Assuming that the changes in $${h_1},\,\,{h_2}$$ and $${h_3}$...

Figure shows the schematic for the measurement of velocity of air (density $$ = 1.2\,\,kg/{m^3}$$ ) through a constant -area duct using a Pilot tube a...

A smooth pipe of diameter $$200$$ $$mm$$ carries water. The pressure in the pipe at section $${S_1}\,\,$$ (elevation : $$10$$ $$m$$ ) is the $$50$$ $...

Consider steady, incompressible and irrotational flow through a reducer in a horizontal pipe where the diameter is reduced from $$20cm$$ to $$10cm.$$ ...

A venturimeter of $$20$$ $$mm$$ throat diameter is used to measure the velocity of water in a horizontal pipe of $$40$$ $$mm$$ diameter. If the pressu...

A $$U$$-tube manometer with a small quantity of mercury is used to measure the static pressure difference between two locations $$A$$ and $$B$$ in a c...

Air flows through a venture and into atmosphere. Air density is $$\rho $$; atmospheric pressure is $$'\,{P_a}';$$ throat diameter is exit diameter is...

A water container is kept on a weighing balance. Water from a tap is falling vertically into the container with a volume flow rate of $$'Q'$$; the vel...

Water flows through a vertical contraction from a pipe of diameter $$d$$ to another of diameter $$d/2$$ (see Figure). The flow velocity at the inlet ...

A jet of water issues from a Nozzle with a velocity $$20$$ $$m/s$$ and it impinges normally on a flat plate moving away from it at $$10\,m/s.$$ The cr...

Water flows through a pipe of diameter $$0.30$$ $$m.$$ What would be the velocity $$V$$ for the conditions shown in the figure below? ...

A mercury manometer is attached to a section of the pipe shown in the figure. Mercury levels are indicated when there is no water flowing through the ...

When a Pitot-static tube is immersed in a water stream (density $${\rho _w}$$), the differential head measured by a mercury (density $${\rho _m}$$ man...

Water $$\left( {\rho = 1000\,\,kg/{m^3}} \right)$$ flows horizontally through a nozzle into the atmosphere under the conditions given below. (assume ...

A Venturimeter (throat diameter $$=10.5$$ $$cm$$) is fitted to a water pipe line (internal diameter $$=21.0$$ $$cm$$) in order to monitor flow rate. T...

A jet of water with a velocity $${V_1}$$ (Figure shown below) and area of cross-section $${A_1}$$ enters a stream of slow moving water in a pipe of ar...

In a syringe as shown in the figure, a piston of $$1\,\,c{m^2}$$ cross section is pushed at a constant speed of $$10\,\,cm/s$$ to eject water through ...

Consider the saline drip bottle shown. If $$\rho $$ is the density of saline, find (a) Pressure at $$A,$$ (b) The velocity of flow of saline through t...

A jet of water (area $${A_j},$$ velocity $${V_j},$$ density $$\rho $$ ) impinges horizontally on a curved vane which deflects the jet through $${60^0}...