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GATE2015-1-17
For steady incompressible flow through a closed-conduit of uniform cross-section, the direction of flow will always be: from higher to lower elevation from higher to lower pressure from higher to lower velocity from higher to lower piezometric head

For steady incompressible flow through a closed-conduit of uniform cross-section, the direction of flow will always be:from higher to lower elevationfrom higher to lower ...

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GATE2018 CE-2: 46
A three-fluid system (immiscible) is connected to a vacuum pump. The specific gravity values of the fluids ($S_1, \: S_2$) are given in the figure. The gauge pressure value (in $kN/m^2$, up to two decimal places), of $p_1$ is _______

A three-fluid system (immiscible) is connected to a vacuum pump. The specific gravity values of the fluids ($S_1, \: S_2$) are given in the figure.The gauge pressure valu...

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3

GATE2018 CE-1: 32
A closed tank contains $0.5$ m thick layer of mercury (specific gravity $=13.6$) at the bottom. A $2.0$ m thick layer of water lies above the mercury layer. A $3.0$ m thick layer of oil (specific gravity $=0.6$) lies above the water layer. The space above the oil layer contains air under ... air space is $92.214 \: kN/m^2$ $95.644 \: kN/m^2$ $98.922 \: kN/m^2$ $99.321 \: kN/m^2$

A closed tank contains $0.5$ m thick layer of mercury (specific gravity $=13.6$) at the bottom. A $2.0$ m thick layer of water lies above the mercury layer. A $3.0$ m thi...

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4

GATE2015-1-46
The drag force, $F_D$, on a sphere kept in a uniform flow field, depends on the diameter of the sphere $D$; flow velocity, $V$, fluid density, $\rho$; and dynamic viscosity, $\mu$. Which of the following options represents the non-dimensional parameters which could be used to analyze this ... $\dfrac{_{\rho}VD}{\mu} \\$ $\dfrac{F_D}{_{\rho}V^3D^3}$ and $\dfrac{\mu}{_{\rho}VD}$

The drag force, $F_D$, on a sphere kept in a uniform flow field, depends on the diameter of the sphere $D$; flow velocity, $V$, fluid density, $\rho$; and dynamic viscosi...

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GATE Civil 2021 Set 2 | Question: 49
A venturimeter as shown in the figure (not to scale) is connected to measure the flow of water in a vertical pipe of $\text{20 cm}$ diameter. Assume $g=9.8\text{ m/s}^{2}$ ... $\text{lps}$, round off to two decimal places) considering no loss in the venturimeter is ______________________

A venturimeter as shown in the figure (not to scale) is connected to measure the flow of water in a vertical pipe of $\text{20 cm}$ diameter.Assume $g=9.8\text{ m/s}^{2}$...

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GATE2017 CE-1: 49
Water flows through a $90^{\circ}$ bend in a horizontal plane as depicted in the figure. A pressure of $140$ kPa is measured at Section $1-1$. The inlet diameter marked at Section $1-1$ is $\frac{27}{\sqrt{\pi}}$ cm, while the nozzle ... bend is negligible. The magnitude of the force (in kN, up to two decimal places) that would be required to hold the pipe section is __________

Water flows through a $90^{\circ}$ bend in a horizontal plane as depicted in the figure.A pressure of $140$ kPa is measured at Section $1-1$. The inlet diameter marked at...

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GATE2017 CE-1: 23
A triangular pipe network is shown in the figure. The head loss in each pipe is given by $h_f = rQ^{1.8}$, with the variables expressed in a consistent set of units. The value of $r$ for the pipe $AB$ is $1$ and for the pipe $BC$ is $2$. If the ... is equally divided between the pipes $AB$ and $AC$, the value of $r$ (up to two decimal places) for the pipe $AC$ should be _______

A triangular pipe network is shown in the figure.The head loss in each pipe is given by $h_f = rQ^{1.8}$, with the variables expressed in a consistent set of units. The v...

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GATE Civil 2021 Set 2 | Question: 23
A lake has a maximum depth of $\text{60 m}$. If the mean atmospheric pressure in the lake region is $\text{91 kPa}$ and the unit weight of the lake water is $\text{9790 N/m}^{3}$, the absolute pressure (in $\text{kPa}, \textit{round off to two decimal places}$) at the maximum depth of the lake is ___________________

A lake has a maximum depth of $\text{60 m}$. If the mean atmospheric pressure in the lake region is $\text{91 kPa}$ and the unit weight of the lake water is $\text{9790 N...

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GATE2019 CE-1: 22
A circular duct carrying water gradually contracts from a diameter of $30 \: cm$ to $15 \: cm$. The figure (not drawn to scale) shows the arrangement to differential manometer attached to the duct. When the water flows, the differential manometer shows a ... Assuming frictionless flow, the flow rate (in $m^3/s$, round off to $3$ decimal places) through the duct is ________

A circular duct carrying water gradually contracts from a diameter of $30 \: cm$ to $15 \: cm$. The figure (not drawn to scale) shows the arrangement to differential man...

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10

GATE2016-2-16
Group I contains the types of fluids while group II contains the shear stress - rate of shear relationship of different types of fluids, as shown in the figure. ... $P-2, Q-5, R-4, S-1$ $P-2, Q-4, R-5, S-3$ $P-2, Q-1, R-3, S-4$

Group I contains the types of fluids while group II contains the shear stress – rate of shear relationship of different types of fluids, as shown in the figure.$$\begin...

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11

GATE2014-2-45
With reference to a standard Cartesian (x, y) plane, the parabolic velocity distribution profile of fully developed laminar flow in x-direction between two parallel, stationary and identical plates that are separated by distance, h, is given by the expression ...

With reference to a standard Cartesian (x, y) plane, the parabolic velocity distribution profile of fully developed laminar flow in x-direction between two parallel, stat...

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12

GATE2020-CE-1-12
Velocity of flow is proportional to the first power of hydraulic gradient in Darcy’s law. This law is applicable to laminar flow in porous media transitional flow in porous media turbulent flow in porous media laminar as well as turbulent flow in porous media

Velocity of flow is proportional to the first power of hydraulic gradient in Darcy’s law. This law is applicable to laminar flow in porous mediatransitional flow in por...

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13

GATE2018 CE-2: 48
A rough pipe of $0.5$ m diameter, $300$ m length and roughness height of $0.25$ mm, carries water (kinematic viscosity $= 0.9 \times 10^{-6} \: m^2/s$) with velocity of $3$ m/s. Friction factor $(f)$ for laminar flow is given by $f=64/R_e$, and for ... k=roughness height and $g=9.81 \: m/s^2$. The head loss (in m, up to three decimal places) in the pipe due to friction is _______

A rough pipe of $0.5$ m diameter, $300$ m length and roughness height of $0.25$ mm, carries water (kinematic viscosity $= 0.9 \times 10^{-6} \: m^2/s$) with velocity of $...

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14

GATE2019 CE-2: 12
A solid sphere of radius, $r$, and made of material with density, $\rho_s$, is moving through the atmosphere (constant pressure, $p$) with a velocity, $v$. The net force ONLY due to atmospheric pressure $(F_p)$ acting on the sphere at any time, $t$, is $\pi r^2 p$ $4 \pi r^2 p$ $\dfrac{4}{3} \pi r^3 \rho_s \dfrac{dv}{dt}$ zero

A solid sphere of radius, $r$, and made of material with density, $\rho_s$, is moving through the atmosphere (constant pressure, $p$) with a velocity, $v$. The net force ...

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15

GATE2018 CE-2: 49
A flocculation tank contain $1800 \: m^3$ of water, which is mixed using paddles at an average velocity gradient $G$ of $100/s$. The water temperature and the corresponding dynamic viscosity are $30^{\circ}C$ and $0.798 \times 10^{-3} \: Ns/m^2$, respectively. The theoretical power required to achieve the stated value of $G$ (in kW, up to two decimal places) is _____

A flocculation tank contain $1800 \: m^3$ of water, which is mixed using paddles at an average velocity gradient $G$ of $100/s$. The water temperature and the correspondi...

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16

GATE2018 CE-1: 17
A flow field is given by $u=y^2, \: v=-xy, \: w=0$. Value of the z-component of the angular velocity (in radians per unit time, up to two decimal places) at the point $(0, -1, 1)$ is ____

A flow field is given by $u=y^2, \: v=-xy, \: w=0$. Value of the z-component of the angular velocity (in radians per unit time, up to two decimal places) at the point $(0...

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17

GATE2015-2-44
The velocity components of a two dimensional plane motion of a fluid are $:u=\dfrac{y^3}{3}+2x—x^2y$ and $v=xy^2-2y-\dfrac{x^3}{3}$. The correct statement is: Fluid is incompressible and flow is irrotational Fluid is incompressible and flow is rotational Fluid is compressible and flow is irrotational Fluid is compressible and flow is rotational

The velocity components of a two dimensional plane motion of a fluid are $:u=\dfrac{y^3}{3}+2x—x^2y$ and $v=xy^2-2y-\dfrac{x^3}{3}$. The correct statement is:Fluid is i...

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18

GATE2019 CE-1: 51
Consider a laminar flow in the x-direction between two infinite parallel plates (Couette flow). The lower plate is stationary and the upper plate is moving with a velocity of $1 \: cm/s$ in the x-direction. The distance between the plates is $5 \: mm$ and the dynamic viscosity ... $\dfrac {\partial p}{\partial x}$, (in $N/m^2$ per $m$, round off to $1$ decimal place) is _________

Consider a laminar flow in the x-direction between two infinite parallel plates (Couette flow). The lower plate is stationary and the upper plate is moving with a velocit...

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19

GATE2019 CE-2: 49
Two identical pipes (i.e., having the same length, same diameter, and same roughness) are used to withdraw water from a reservoir. In the first case, they are attached in series and discharge freely into the atmosphere. In the second case, they are ... ratio of the discharge in the parallel arrangement to that in the series arrangement (round off to $2$ decimal places) is ________

Two identical pipes (i.e., having the same length, same diameter, and same roughness) are used to withdraw water from a reservoir. In the first case, they are attached in...

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20

GATE2014-1-49
A straight $100$ m long raw water gravity main is to carry water from an intake structure to the jack well of a water treatment plant. The required flow through this water main is $0.21 \: m^3/s$. Allowable velocity through the main is $0.75$ m/ ... (in $cm/100$ m length) to be given to this gravity main so that the required amount of water flows without any difficulty is ___________

A straight $100$ m long raw water gravity main is to carry water from an intake structure to the jack well of a water treatment plant. The required flow through this wate...

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21

GATE2017 CE-1: 12
For a steady incompressible laminar flow between two infinite parallel stationary plates, the shear stress variation is linear with zero value at the plates linear with zero value at the center quadratic with zero value at the plates quadratic with zero value at the center

For a steady incompressible laminar flow between two infinite parallel stationary plates, the shear stress variation islinear with zero value at the plateslinear with zer...

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22

GATE2014-1-42
A venturimeter, having a diameter of $7.5$ cm at the throat an $15$ cm at the enlarged end, is installed in a horizontal pipeline of $15$ cm diameter. The pipe carries an incompressible fluid at a steady rate of $30$ litres per second, The difference of ... as $9.81 \: m/s^2$, the coefficient of discharge of the venturimeter (correct up to two places of decimal) is ____________

A venturimeter, having a diameter of $7.5$ cm at the throat an $15$ cm at the enlarged end, is installed in a horizontal pipeline of $15$ cm diameter. The pipe carries an...

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23

GATE2014-1-20
The dimension for kinematic viscosity is $\dfrac{L}{MT} \\$ $\dfrac{L}{T^2} \\$ $\dfrac{L^2}{T} \\$ $\dfrac{ML}{T}$

The dimension for kinematic viscosity is$\dfrac{L}{MT} \\$$\dfrac{L}{T^2} \\$$\dfrac{L^2}{T} \\$$\dfrac{ML}{T}$

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24

GATE2014-2-18
Group I lists a few devices while Group II provides information about their uses. Match the devices with their corresponding use. ... $P-4; \: Q-2; \: R-1 \: S-3$ $P-4; \: Q-3; \: R-2 \: S-1$

Group I lists a few devices while Group II provides information about their uses. Match the devices with their corresponding use.$\begin{array}{llll} {} & \text{Group I} ...

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GATE2014-2-42
A venturimeter having a throat diameter of $0.1$ m is used to estimate the flow rate of a horizontal pipe having a diameter of $0.2$ m. For an observed pressure difference of $2$ m of water head and coefficient of discharge equal to unity, assuming that the energy losses are ... the flow rate (in $m^3/s$) through the pipe is approximately equal to $0.500$ $0.150$ $0.050$ $0.015$

A venturimeter having a throat diameter of $0.1$ m is used to estimate the flow rate of a horizontal pipe having a diameter of $0.2$ m. For an observed pressure differenc...

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26

GATE Civil 2013 | Question: 18
For a two dimensional flow field, the stream function $\psi$ is given as $\psi = \dfrac{3}{2}(y^2-x^2)$. The magnitude of discharge occurring between the stream lines passing through points $(0,3)$ and $(3,4)$ is $6$ $3$ $1.5$ $2$

For a two dimensional flow field, the stream function $\psi$ is given as $\psi = \dfrac{3}{2}(y^2-x^2)$. The magnitude of discharge occurring between the stream lines pas...

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27

GATE2019 CE-2: 13
The velocity field in a flow system is given by $v=2\textbf{i}+(x+y) \textbf{j} + (xyz) \textbf{k}$. The acceleration of the fluid at $(1,1,2)$ is $2 \textbf{i}+ 10 \textbf{k}$ $4 \textbf{i}+ 12 \textbf{k}$ $ \textbf{j}+ \textbf{k}$ $4 \textbf{j}+ 10 \textbf{k}$

The velocity field in a flow system is given by $v=2\textbf{i}+(x+y) \textbf{j} + (xyz) \textbf{k}$. The acceleration of the fluid at $(1,1,2)$ is$2 \textbf{i}+ 10 \textb...

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28

GATE2020 CE-2-15
The velocity components in the $x$ and $y$ directions for an incompressible flow are given as $u = (-5 + 6x)$ and $v = -(9+6y)$, respectively. The equation of the streamline is $(-5+6x)-(9+6y) = \text{constant}$ $\dfrac{-5+6x}{9+6y}= \text{constant}$ $(-5+6x)(9+6y) = \text{constant}$ $\dfrac{9+6y}{-5+6x}= \text{constant}$

The velocity components in the $x$ and $y$ directions for an incompressible flow are given as $u = (-5 + 6x)$ and $v = -(9+6y)$, respectively. The equation of the streaml...

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29

GATE Civil 2021 Set 2 | Question: 12
The ratio of the momentum correction factor to the energy correction factor for a laminar flow in a pipe is $\frac{1}{2}$ $\frac{2}{3}$ $1$ $\frac{3}{2}$

The ratio of the momentum correction factor to the energy correction factor for a laminar flow in a pipe is$\frac{1}{2}$$\frac{2}{3}$$1$$\frac{3}{2}$

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30

GATE Civil 2012 | Question: 18
The circular water pipes shown in the sketch are flowing full. The velocity of flow (in m/s) in the branch pipe “R” is $3$ $4$ $5$ $6$

The circular water pipes shown in the sketch are flowing full. The velocity of flow (in m/s) in the branch pipe “R” is$3$$4$$5$$6$

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31

GATE2017 CE-2-45
The figure shows a U-tube having a $5 \: mm \times 5 mm$ square cross-section filled with mercury (specific gravity $13.6$) up to a height of $20 $ cm in each limb (open to atmosphere) If $5 \: cm^3$ of water is added to the right limb, the new height (in cm, up to two decimal places) of mercury in the LEFT limb will be ________

The figure shows a U-tube having a $5 \: mm \times 5 mm$ square cross-section filled with mercury (specific gravity $13.6$) up to a height of $20 $ cm in each limb (open...

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32

GATE2017 CE-1: 53
The spherical grit particles, having a radius of $0.01$ mm and specific gravity of $3.0$, need to be separated in a settling chamber. It is given that $g=9.81 \: m/s^2$ the density of the liquid in the settling chamber $=1000 \: kg/m^3$ the ... settling chamber $=10^{-6} \: m^2/s$ Assuming laminar conditions, the settling velocity (in mm/s, up to one decimal place) is __________

The spherical grit particles, having a radius of $0.01$ mm and specific gravity of $3.0$, need to be separated in a settling chamber. It is given that$g=9.81 \: m/s^2$the...

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33

GATE Civil 2013 | Question: 17
Group-I contains dimensionless parameters and Group-II contains the ratios. ... $P-3, Q-4, R-2, S-1$ $P-2, Q-3, R-4, S-1$ $P-1, Q-3, R-2, S-4$

Group-I contains dimensionless parameters and Group-II contains the ratios.$\begin{array}{ll} \text{Group I} & \text{Group II} \\ \text{P. Mach Number} & \text{1. Ratio o...

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34

GATE2015-1-12
Which of the following statements is TRUE for the relation between discharge velocity and seepage velocity? Seepage velocity is always smaller than discharge velocity Seepage velocity can never be smaller than discharge velocity Seepage velocity is equal to the discharge velocity No relation between Seepage velocity and discharge velocity can be established

Which of the following statements is TRUE for the relation between discharge velocity and seepage velocity?Seepage velocity is always smaller than discharge velocitySeepa...

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35

GATE2018 CE-1: 12
Bernoulli's equation is applicable for viscous and compressible fluid flow inviscid and compressible fluid flow inviscid and incompressible fluid flow viscous and incompressible fluid flow

Bernoulli's equation is applicable forviscous and compressible fluid flowinviscid and compressible fluid flowinviscid and incompressible fluid flowviscous and incompressi...

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36

GATE2014-1-45
An incompressible fluid is flowing at a steady rate in a horizontal pipe. From a section, the pipe divides into two horizontal parallel pipes of diameters $d_1$ and $d_2$ (where $d_1 =4d_2$) that run for a distance of $L$ each and then ... only and the Darcy-Weisbach friction factor to be the same. The velocity ratio between the bigger and the smaller branched pipes is ____________

An incompressible fluid is flowing at a steady rate in a horizontal pipe. From a section, the pipe divides into two horizontal parallel pipes of diameters $d_1$ and $d_2$...

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37

GATE2020-CE-1-37
A water supply scheme transports $10\:MLD$ (MIllion Litres per Day) water through a $450\:mm$ diameter pipeline for a distance of $2.5\:km$. A chlorine dose of $3.50\:mg/litre$ is applied at the starting point of the pipeline to attain a certain level of disinfection at ... the chlorine dose (in $mg/litre$) to be applied at the starting point should be $3.95$ $4.40$ $4.75$ $5.55$

A water supply scheme transports $10\:MLD$ (MIllion Litres per Day) water through a $450\:mm$ diameter pipeline for a distance of $2.5\:km$. A chlorine dose of $3.50\:mg/...

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38

GATE2014-1-17
An incompressible homogeneous fluid is flowing steadily in a variable diameter pipe having the large and small diameters as $15$ cm and $5$ cm, respectively. If the velocity at a section at the $15$ cm diameter portion of the pipe is $2.5$ m/s, the velocity of the fluid (in m/s) at a section falling in $5$ cm portion of the pipe is _______

An incompressible homogeneous fluid is flowing steadily in a variable diameter pipe having the large and small diameters as $15$ cm and $5$ cm, respectively. If the velo...

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39

GATE Civil 2021 Set 2 | Question: 40
A fire hose nozzle directs a steady stream of water of velocity $\text{50 m/s}$ at an angle of $45^{\circ}$ above the horizontal. The stream rises initially but then eventually falls to the ground. Assume water as incompressible and ... ) reached by the stream above the hose nozzle will then be __________

A fire hose nozzle directs a steady stream of water of velocity $\text{50 m/s}$ at an angle of $45^{\circ}$ above the horizontal. The stream rises initially but then even...

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40

GATE2015-1-16
In a two-dimensional steady flow field, in a certain region of the $x-y$ plane, the velocity component in the $x$-direction is given by $v_x=x^2$ and the density varies as $\rho = \dfrac{1}{x}$. Which of the following is a valid expression for the velocity component in the $y$ – direction, $v_y$? $v_y= \:– x/y$ $v_y = x/y$ $v_y = \:-xy$ $v_y = xy$

In a two-dimensional steady flow field, in a certain region of the $x-y$ plane, the velocity component in the $x$-direction is given by $v_x=x^2$ and the density varies a...

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