An ideal flow of any fluid must fulfil the following
Newton's law of motion
Newton's law of viscosity
Pascal' law
Continuity equation
Correct Answer :
D. Continuity equation
Related Questions
The increase in pressure at the outer edge of a drum of radius (r) completely filled up with liquid of density (ρ) and rotating at (ω) rad/s is
ρ ω2 r2
2ρ ω2 r2
ρ ω2 r2/2
ρ ω2 r2/4
The unit of kinematic viscosity in S. I. units is
N-m/s
N-s/m2
m2/s
N-m
The increase of temperature results in
Increase in viscosity of gas
Increase in viscosity of liquid
Decrease in viscosity of gas
Decrease in viscosity of liquid
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
ω.r/2g
ω².r²/2g
ω.r/4g
ω².r²/4g
The discharge through a large rectangular orifice is given by (where H1 = Height of the liquid above the top of the orifice, H2 = Height of the liquid above the bottom of the orifice, b = Breadth of the orifice, and Cd = Coefficient of discharge)
Q = (2/3) Cd × b × √(2g) × (H2 - H1)
Q = (2/3) Cd × b × √(2g) × (H2 1/2 - H1 1/2)
Q = (2/3) Cd × b × √(2g) × (H2 3/2 - H1 3/2)
Q = (2/3) Cd × b × √(2g) × (H2 2 - H1 2)
The purpose of a surge tank is
To control the pressure variations due to rapid changes in the pipe line flow
To eliminate water hammer possibilities
To regulate flow of water to turbines by providing necessary retarding head of water
All of the above
For a body floating in a liquid the normal pressure exerted by the liquid acts at
Bottom surface of the body
C.G. of the body
Metacentre
All points on the surface of the body
Select the wrong statement
An equivalent pipe is treated as an ordinary pipe for all calculations
The length of an equivalent pipe is equal to that of a compound pipe
The discharge through an equivalent pipe is equal to that of a compound pipe
The diameter of an equivalent pipe is equal to that of a compound pipe
The horizontal component of buoyant force is
Negligible
Same as buoyant force
Zero
None of the above
The water pressure per metre length on a vertical masonry wall of dam is (where w = Specific weight of the liquid, and H = Height of the liquid)
wH/2
wH
wH2/2
wH2/4
Mercury is often used in barometer because
It is the best liquid
The height of barometer will be less
Its vapour pressure is so low that it may be neglected
Both (B) and (C)
The loss of head at exit of a pipe is (where v = Velocity of liquid in the pipe)
v²/2g
0.5v²/2g
0.375v²/2g
0.75v²/2g
The loss of head due to friction in a pipe of uniform diameter in which a viscous flow is taking place, is (where RN = Reynold number)
1/RN
4/RN
16/RN
64/RN
When the pressure intensity at a point is more than the local atmospheric pressure, then the difference of these two pressures is called
Gauge pressure
Absolute pressure
Positive gauge pressure
Vacuum pressure
A venturi-flume is used to measure
Pressure of liquid
Discharge of liquid
Pressure difference between two points in a channel
Pressure difference between two points in a pipe
According to Francis formula, the discharge over a rectangular weir is (where n = Number of end contractions)
(2/3) × Cd (L - nH) × √(2gh)
(2/3) × Cd (L - 0.1nH) × √(2g) × H3/2
(2/3) × Cd (L - nH) × √(2g) × H²
(2/3) × Cd (L - nH) × √(2g) × H5/2
The point at which the resultant pressure on an immersed surface acts, is known as
Centre of gravity
Centre of depth
Centre of pressure
Centre of immersed surface
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
l/d² = (l₁/d₁²) + (l₂/d₂²) + (l₃/d₃²)
l/d³ = (l₁/d₁³) + (l₂/d₂³) + (l₃/d₃³)
l/d⁴ = (l₁/d₁⁴) + (l₂/d₂⁴) + (l₃/d₃⁴)
l/d⁵ = (l₁/d₁⁵) + (l₂/d₂⁵) + (l₃/d₃⁵)
A weir, generally, used as a spillway of a dam is
Narrow crested weir
Broad crested weir
Ogee weir
Submerged weir
In order to increase sensitivity of U-tube manometer, one leg is usually inclined by angle θ. Sensitivity of inclined tube to sensitivity of Utube is equal to
Sinθ
1/Sinθ
Cosθ
1/Cosθ
The normal stress is same in all directions at a point in a fluid
Only when the fluid is frictionless
Only when the fluid is incompressible and has zero viscosity
When there is no motion of one fluid layer relative to an adjacent layer
Irrespective of the motion of one fluid layer relative to an adjacent layer
A fluid is said to be ideal, if it is
Incompressible
Viscous and incompressible
Inviscous and compressible
Inviscous and incompressible
According to Bernoulli's equation
Z + p/w + v²/2g = constant
Z + p/w - v²/2g = constant
Z - p/w + v²/2g = constant
Z - p/w - v²/2g = constant
The flow in a pipe or channel is said to be non-uniform when
The liquid particles at all sections have the same velocities
The liquid particles at different sections have different velocities
The quantity of liquid flowing per second is constant
Each liquid particle has a definite path
A differential manometer is used to measure
Atmospheric pressure
Pressure in pipes and channels
Pressure in Venturimeter
Difference of pressures between two points in a pipe
The discharge through a channel of rectangular section will be maximum, if
Its depth is twice the breadth
Its breadth is twice the depth
Its depth is thrice the breadth
Its breadth is thrice the depth
Froude number is significant in
Supersonics, as with projectile and jet propulsion
Full immersion or completely enclosed flow, as with pipes, aircraft wings, nozzles etc.
Simultaneous motion through two fluids where there is a surface of discontinuity, gravity forces, and wave making effect as with ship's hulls
All of the above
In a footstep bearing, if the radius of the shaft is doubled, then the torque required to overcome the viscous resistance will be
Double
Four times
Eight times
Sixteen times
Mach number is significant in
Supersonics, as with projectiles and jet propulsion
Full immersion or completely enclosed flow, as with pipes, aircraft wings, nozzles etc.
Simultaneous motion through two fluids where there is a surface of discontinuity, gravity force, and wave making effects, as with ship's hulls
All of the above
One stoke is equal to
10-2 m2/s
10-3 m2/s
10-4 m2/s
10-6 m2/s