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Recent questions and answers in Fluid Mechanics

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GATE Mechanical 2025 | Question: 6
Consider two identical tanks with a bottom hole of diameter $d$. One tank is filled with water and the other tank is filled with engine oil. The height of the fluid colum...
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GATE Mechanical 2026 | Question: 14
A steady incompressible laminar flow passes through a $90^{\circ}$ tube bend placed on a horizontal surface. In horizontal diametric plane, two pressure taps $P_{i}$ and ...
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GATE Mechanical 2026 | Question: 15
An ideal gas passes isothermally through a long horizontal uniform cross-section pipe under steady flow. Consider that the pressure gradient in the pipe is sufficient for...
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GATE Mechanical 2026 | Question: 16
Bernoulli's equation CANNOT be applied betweenany two arbitrary points in the flow field for steady incompressible rotational flowany two arbitrary points in the flow fie...
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GATE Mechanical 2026 | Question: 19
A hydraulic crane supports a mass of $500$ kg with its piston-cylinder actuator, inclined at $60^{\circ}$ with horizontal, as shown in the figure below. The diameter of t...
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GATE Mechanical 2026 | Question: 43
Water with a density of $1000 \mathrm{~kg} / \mathrm{m}^{3}$ comes out of an industrial condenser through a horizontal pipe of 15 cm radius at the flow rate of $4.5 \math...
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GATE Mechanical 2026 | Question: 48
An inward flow reaction turbine, having an outer diameter of $1$ m, runs at $600$ RPM. The normal component of absolute velocity at the inlet is $10 \mathrm{~m} / \mathrm...
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GATE Mechanical 2025 | Question: 5
Let a spherical block of ice at $-7^{\circ} \mathrm{C}$ be exposed to atmospheric air at $30^{\circ} \mathrm{C}$ with the gravitational direction as shown in the figure b...
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GATE Mechanical 2025 | Question: 7
​​​​In a laboratory experiment using a scaled down model to measure scour at a bridge pier, the Froude number is important. The ratio of the prototype length to the model...
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GATE Mechanical 2025 | Question: 34
​​​For a fully-developed pipe flow, which of the following options is/are correct?For the same maximum velocity, the average velocity is higher in the turbulent regime th...
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GATE Mechanical 2025 | Question: 39
A pitot tube connected to a U-tube mercury manometer measures the speed of air flowing in the wind tunnel as shown in the figure below. The density of air is $1.23 \mathr...
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GATE Mechanical 2025 | Question: 40
Consider a velocity field $\vec{V}=3 z \hat{\imath}+0 \hat{\jmath}+C x \: \widehat{k}$, where $C$ is a constant. If the flow is irrotational, the value of $C$ is _______...
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why there is no wide platform for GATE mechanical ?
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GATE Mechanical 2024 | Question: 6
​​​​The velocity field of a two-dimensional, incompressible flow is given by\[\vec{V}=2 \sinh x \hat{\imath}+v(x, y) \hat{\jmath}\]where $\hat{\imath}$ and $\hat{\jmath}$...
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GATE Mechanical 2024 | Question: 27
​​​​​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 connecting points $W, N...
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GATE Mechanical 2024 | Question: 30
​​​Steady, compressible flow of air takes place through an adiabatic convergingdiverging nozzle, as shown in the figure. For a particular value of pressure difference acr...
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GATE Mechanical 2024 | Question: 41
A liquid fills a horizontal capillary tube whose one end is dipped in a large pool of the liquid. Experiments show that the distance $L$ travelled by the liquid meniscus ...
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transfer function for second order system
A second order real system has the following properties.The damping ratio is 0.5 and undamped natural frequency is 10rad/sec, the steady state value at zero is 1.02.the t...
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mole fraction and mass fraction
a mixture of carbon dioxide and water vapour is at 100kPa, 200C temperature. As the mixture is cooled at a constant pressure, water vapour begins to condense when the tem...
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GATE Mechanical 2023 | Question: 9
Air (density $=1.2 \mathrm{~kg} / \mathrm{m}^3$, kinematic viscosity $=1.5 \times 10^{-5} \mathrm{~m}^2 / \mathrm{s}$ ) flows over a flat plate with a free-stream velocit...
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GATE Mechanical 2023 | Question: 10
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-section are negligi...
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GATE Mechanical 2023 | Question: 21
A vector field$$\mathbf{B}(x, y, z)=x \; \hat{\imath}+y \; \hat{\jmath}-2 z \; \hat{\mathrm{k}}$$is defined over a conical region having height $h=2$, base radius $r=3$ a...
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GATE Mechanical 2023 | Question: 52
The velocity field of a certain two-dimensional flow is given by$\boldsymbol{V}(x, y)=k(x \hat{\imath}-y \hat{\jmath})$where $k=2 \mathrm{~s}^{-1}$. The coordinates $x$ a...
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GATE Mechanical 2023 | Question: 53
Consider a unidirectional fluid flow with the velocity field given by$$V(x, y, z, t)=u(x, t) \hat{\imath}$$where $u(0, t)=1$. If the spatially homogeneous density field v...
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GATE Mechanical 2023 | Question: 54
The figure shows two fluids held by a hinged gate. The atmospheric pressure is $P_a=100 \mathrm{kPa}$. The moment per unit width about the base of the hinge is __________...
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GATE Mechanical 2023 | Question: 55
An explosion at time $t=0$ releases energy $\text{E}$ at the origin in a space filled with a gas of density $\rho$. Subsequently, a hemispherical blast wave propagates ra...
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GATE Mechanical 2022 Set 2 | Question: 14
Consider a steady flow through a horizontal divergent channel, as shown in the figure, with supersonic flow at the inlet. The direction of flow is from left to right.Pres...
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GATE Mechanical 2022 Set 2 | Question: 19
The velocity field in a fluid is given to be $\vec{V} = \left ( 4xy \right )\hat{i} + 2\left ( x^{2} - y^{2} \right )\hat{j}$. Which of the following statement$(s)$ is/ar...
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GATE Mechanical 2022 Set 2 | Question: 33
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 is represented b...
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GATE Mechanical 2022 Set 2 | Question: 34
The steady velocity field in an inviscid fluid of density $1.5$ is given to be $\vec{V} = \left ( y^{2}-x^{2} \right )\hat{i} + \left ( 2xy \right )\hat{j}.$ Neglecting b...
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Self doubt
With increase in pressure the bulk modulus of elasticity__?
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GATE2018-1-22
A flat plate of width $L=1 \: m$ is pushed down with a velocity $U=0.01 \: m/s$ towards a wall resulting in the drainage of the fluid between the plate and the wall as so...
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