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4

Euler's equation in the differential form for the motion of liquids is given by

A. dp/ρ + g.dz + v.dv = 0

B. dp/ρ - g.dz + v.dv = 0

C. ρ.dp + g.dz + v.dv = 0

D. ρ.dp - g.dz + v.dv = 0

Correct Answer :

A. dp/ρ + g.dz + v.dv = 0


Related Questions

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4

When a body is placed over a liquid, it will sink down if

A. Gravitational force is equal to the up-thrust of the liquid

B. Gravitational force is less than the up-thrust of the liquid

C. Gravitational force is more than the up-thrust of the liquid

D. None of the above

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4

A square surface 3 m × 3 m lies in a vertical line in water pipe its upper edge at water surface. The hydrostatic force on square surface is

A. 9,000 kg

B. 13,500 kg

C. 18,000 kg

D. 27,000 kg

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4

The shear stress-strain graph for a Newtonian fluid is a

A. Straight line

B. Parabolic curve

C. Hyperbolic curve

D. Elliptical

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Euler's dimensionless number relates the following

A. Inertial force and gravity

B. Viscous force and inertial force

C. Viscous force and buoyancy force

D. Pressure force and inertial force

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4

The flow in which each liquid particle has a definite path and their paths do not cross each other is called

A. One dimensional flow

B. Streamline flow

C. Steady flow

D. Turbulent flow

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4

The point in the immersed body through which the resultant pressure of the liquid may be taken to act is known as

A. Meta center

B. Center of pressure

C. Center of buoyancy

D. Center of gravity

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4

The equation of continuity holds good when the flow

A. Is steady

B. Is one dimensional

C. Velocity is uniform at all the cross sections

D. All of the above

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4

The hydraulic mean depth for a circular pipe of diameter (d) is

A. d/6

B. d/4

C. d/2

D. d

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4

The most economical section of a rectangular channel is one which has hydraulic mean depth or hydraulic radius equal to

A. Half the depth

B. Half the breadth

C. Twice the depth

D. Twice the breadth

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4

For similarity, in addition to models being geometrically similar to prototype, the following in both cases should also be equal

A. Ratio of inertial force to force due to viscosity

B. Ratio of inertial force to force due to gravitation

C. Ratio of inertial force to force due to surface tension

D. All the four ratios of inertial force to force due to viscosity, gravitation, surface tension, and elasticity

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4

The buoyancy depends on

A. Mass of liquid displaced

B. Viscosity of the liquid

C. Pressure of the liquid displaced

D. Depth of immersion

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4

Reynold's number is the ratio of inertia force to

A. Pressure force

B. Elastic force

C. Gravity force

D. Viscous force

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4

In open channels, the specific energy is the

A. Total energy per unit discharge

B. Total energy measured with respect to the datum passing through the bottom of the channel

C. Total energy measured above the horizontal datum

D. Kinetic energy plotted above the free surface of water

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4

Flow occurring in a pipeline when a valve is being opened is

A. Steady

B. Unsteady

C. Laminar

D. Vortex

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4

At the center line of a pipe flowing under pressure where the velocity gradient is zero, the shear stress will be

A. Minimum

B. Maximum

C. Zero

D. Could be any value

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4

When a cylindrical vessel of radius (r) containing liquid is revolved about its vertical axis ω rad/s, then depth of parabola which the liquid assumes is

A. ω.r/2g

B. ω².r²/2g

C. ω.r/4g

D. ω².r²/4g

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4

The divergent portion of a Venturimeter is made longer than convergent portion in order to

A. Avoid the tendency of breaking away the stream of liquid

B. To minimise frictional losses

C. Both (A) and (B)

D. None of these

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4

The value of coefficient of discharge is __________ the value of coefficient of velocity.

A. Less than

B. Same as

C. More than

D. None of these

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4

An open tank containing liquid is moving with an acceleration on an inclined plane. The inclination of the free surface of the liquid will be __________ to the acceleration of the tank.

A. Equal to

B. Directly proportional

C. Inversely proportional

D. None of these

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4

The error in discharge (dQ/Q) to the error in measurement of head (dH/H) over a rectangular notch is given by

A. dQ/Q = (1/2) × (dH/H)

B. dQ/Q = (3/4) × (dH/H)

C. dQ/Q = (dH/H)

D. dQ/Q = (3/2) × (dH/H)

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4

The loss of head due to viscosity for laminar flow in pipes is (where d = Diameter of pipe, l = Length of pipe, v = Velocity of the liquid in the pipe, μ = Viscosity of the liquid, and w = Specific weight of the flowing liquid)

A. 4μvl/wd²

B. 8μvl/wd²

C. 16μvl/wd²

D. 32μvl/wd²

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4

Center of buoyancy is the

A. Centroid of the displaced volume of fluid

B. Center of pressure of displaced volume

C. Does not exist

D. None of the above

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4

The coefficient of viscosity may be determined by

A. Capillary tube method

B. Orifice type viscometer

C. Rotating cylinder method

D. All of these

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4

Total pressure on a lmxlm gate immersed vertically at a depth of 2 m below the free water surface will be

A. 1000 kg

B. 4000 kg

C. 2000 kg

D. 8000 kg

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4

The buoyancy depends upon the

A. Weight of the liquid displaced

B. Pressure with which the liquid is displaced

C. Viscosity of the liquid

D. Compressibility of the liquid

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4

A vertical wall is subjected to a pressure due to one kind of liquid, on one of its sides. Which of the following statement is correct?

A. The pressure on the wall at the liquid level is minimum

B. The pressure on the bottom of the wall is maximum

C. The pressure on the wall at the liquid level is zero, and on the bottom of the wall is maximum

D. The pressure on the bottom of the wall is zer

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4

In one dimensional flow, the flow

A. Is steady and uniform

B. Takes place in straight line

C. Takes place in curve

D. Takes place in one direction

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4

A compound pipe of diameter d1, d2 and d3 having lengths l1, l2 and l3 is to be replaced by an equivalent pipe of uniform diameter d and of the same length (l) as that of the compound pipe. The size of the equivalent pipe is given by

A. l/d² = (l₁/d₁²) + (l₂/d₂²) + (l₃/d₃²)

B. l/d³ = (l₁/d₁³) + (l₂/d₂³) + (l₃/d₃³)

C. l/d⁴ = (l₁/d₁⁴) + (l₂/d₂⁴) + (l₃/d₃⁴)

D. l/d⁵ = (l₁/d₁⁵) + (l₂/d₂⁵) + (l₃/d₃⁵)

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4

For manometer, a better liquid combination is one having

A. Higher surface tension

B. Lower surface tension

C. Surface tension is no criterion

D. High density and viscosity

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4

A fluid in equilibrium can't sustain

A. Tensile stress

B. Compressive stress

C. Shear stress

D. Bending stress