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)
Correct Answer :
D. l/d⁵ = (l₁/d₁⁵) + (l₂/d₂⁵) + (l₃/d₃⁵)
Related Questions
The flow of water through the hole in the bottom of a wash basin is an example of
Steady flow
Uniform flow
Free vortex
Forced vortex
The factional resistance of a pipe varies approximately with __________ of the liquid.
Pressure
Velocity
Square of velocity
Cube of velocity
The length AB of a pipe ABC in which the liquid is flowing has diameter (d1) and is suddenly contracted to diameter (d2) at B which is constant for the length BC. The loss of head due to sudden contraction, assuming coefficient of contraction as 0.62, is
v₁²/2g
v₂²/2g
0.5 v₁²/2g
0.375 v₂²/2g
Total pressure on a lmxlm gate immersed vertically at a depth of 2 m below the free water surface will be
1000 kg
4000 kg
2000 kg
8000 kg
The region between the separation streamline and the boundary surface of the solid body is known as
Wake
Drag
Lift
Boundary layer
To avoid an interruption in the flow of a siphon, an air vessel is provided
At the inlet
At the outlet
At the summit
At any point between inlet and outlet
All the terms of energy in Bernoulli's equation have dimension of
Energy
Work
Mass
Length
A moving fluid mass may be brought to a static equilibrium position, by applying an imaginary inertia force of the same magnitude as that of the accelerating force but in the opposite direction. This statement is called
Pascal's law
Archimedess principle
D-Alembert's principle
None of these
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
The total pressure on the top of a closed cylindrical vessel of radius (r) completely filled up with liquid of specific weight (w) and rotating at (ω) rad/s about its vertical axis, is
π w ω² r²/4g
π w ω² r³/4g
π w ω² r⁴/4g
π w ω² r²/2g
The coefficient of viscosity may be determined by
Capillary tube method
Orifice type viscometer
Rotating cylinder method
All of these
The difference of pressure between the inside and outside of a liquid drop is
p = T × r
p = T/r
p = T/2r
p = 2T/r
Reynolds 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
Dynamic viscosity of most of the gases with rise in temperature
Increases
Decreases
Remain unaffected
Unpredictable
The mass per unit volume of a liquid at a standard temperature and pressure is called
Specific weight
Mass density
Specific gravity
None of these
The body will float if the force of buoyancy is __________ the weight of the liquid displaced.
Equal to
Less than
More than
None of these
Flow occurring in a pipeline when a valve is being opened is
Steady
Unsteady
Laminar
Vortex
When the Venturimeter is inclined, then for a given flow it will show __________ reading.
Same
More
Less
None of these
The angle of contact in case of a liquid depends upon
The nature of the liquid and the solid
The material which exists above the free surface of the liquid
Both of die above
Any one of the above
The Metacentric heights of two floating bodies A and B are 1 m and 1.5 m respectively. Select the correct statement.
The bodies A and B have equal stability
The body A is more stable than body B
The body B is more stable than body A
The bodies A and B are unstable
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
Property of a fluid by which molecules of different kinds of fluids are attracted to each other is called
Adhesion
Cohesion
Viscosity
Compressibility
If a body floating in a liquid occupies a new position and remains at rest in this new position, when given a small angular displacement, the body is said to be in __________ equilibrium.
Neutral
Stable
Unstable
None of these
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Red wood
Say bolt
Engler
Orsat
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0.405 + (0.003/H)
0.003 + (0.405/H)
0.405 + (H/0.003)
0.003 + (H/0.405)
The point in the immersed body through which the resultant pressure of the liquid may be taken to act is known as
Meta center
Center of pressure
Center of buoyancy
Center of gravity
A glass tube of small diameter (d) is dipped in fluid. The height of rise or fall in the tube given by (where w = Specific weight of liquid, α = Angle of contact of the liquid surface, and σ = Surface tension)
4wd/σ cosα
σ cosα/4wd
4σ cosα/wd
wd/4σ cosα
A one dimensional flow is one which
Is uniform flow
Is steady uniform flow
Takes place in straight lines
Involves zero transverse component of flow
The bulk modulus of elasticity
Has the dimensions of 1/pressure
Increases with pressure
Is large when fluid is more compressible
Is independent of pressure and viscosity
Kinematic viscosity is equal to
Dynamic viscosity/density
Dynamic viscosity × density
Density/dynamic viscosity
1/dynamic viscosity × density