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
1. Some Definations Regarding Topics.
2. Relative motion btw a fluid and a single particle.
3. Terminal Settling or Falling Velocity.
4. Formula.
5. Some Common Uses/Applications.
Contents

 Relative motion:
It is the calculation of the motion of an
object with regard to some other moving object. Thus, the
motion is not calculated with reference to the earth, but is the
velocity of the object in reference to the other moving object
as if it were in a static state.
 Wakes:
In fluid dynamics, a wake may be the region of
recirculating flow immediately behind a moving or
stationary blunt body, caused by viscosity, which may be
accompanied by flow separation and turbulence.
Definations

 Consider the relative motion between a particle and
an infinitely large volume of fluid. Since only the
relative motion is considered the following cases are
covered:
 a stationary particle in a moving fluid;
 a moving particle in a stationary fluid;
 a particle and a fluid moving in opposite directions;
 a particle and a fluid both moving in the same
direction but at different velocities.
Relative motion btw a Fluid
and a single particle


 From the figure:
 The upper half of this composite diagram shows the
streamlines for flow at an intermediate value of Re,
while the lower half shows the streamlines for a
higher value of Re.
 As the Reynolds number is increased, fluid inertia
becomes more significant.
 In the figure, a laminar boundary layer is formed
over the surface of the sphere from A to B.
Relative motion btw a Fluid
and a single particle

 On increasing the Reynolds number further, a point
is reached when the boundary layer becomes
turbulent and the point of separation moves further
back on the surface of the sphere,
 Roughening the surface of a sphere causes the
transition to a turbulent boundary layer to occur at a
lower value of the Reynolds number.
Relative motion btw a Fluid
and a single particle

 Terminal velocity is the highest velocity attainable by
an object as it falls/moves through a fluid.
 At some speed, the drag or force of resistance will
equal the gravitational pull on the object (buoyancy
is considered below). At this point the object ceases
to accelerate and continues falling at a constant
speed called the terminal velocity.
Terminal Settling/Falling
velocity

 Processes for the separation of particles of various
sizes and shapes often depend on the variation in the
behaviour of the particles when they are subjected to
the action of a moving fluid.
 Further, many of the methods for the determination
of the sizes of particles in the sub-sieve ranges
involve relative motion between the particles and a
fluid
Applications/Uses


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Relative Motion between the particles and a fluid

  • 1.
  • 2.  1. Some Definations Regarding Topics. 2. Relative motion btw a fluid and a single particle. 3. Terminal Settling or Falling Velocity. 4. Formula. 5. Some Common Uses/Applications. Contents
  • 3.   Relative motion: It is the calculation of the motion of an object with regard to some other moving object. Thus, the motion is not calculated with reference to the earth, but is the velocity of the object in reference to the other moving object as if it were in a static state.  Wakes: In fluid dynamics, a wake may be the region of recirculating flow immediately behind a moving or stationary blunt body, caused by viscosity, which may be accompanied by flow separation and turbulence. Definations
  • 4.   Consider the relative motion between a particle and an infinitely large volume of fluid. Since only the relative motion is considered the following cases are covered:  a stationary particle in a moving fluid;  a moving particle in a stationary fluid;  a particle and a fluid moving in opposite directions;  a particle and a fluid both moving in the same direction but at different velocities. Relative motion btw a Fluid and a single particle
  • 5.
  • 6.   From the figure:  The upper half of this composite diagram shows the streamlines for flow at an intermediate value of Re, while the lower half shows the streamlines for a higher value of Re.  As the Reynolds number is increased, fluid inertia becomes more significant.  In the figure, a laminar boundary layer is formed over the surface of the sphere from A to B. Relative motion btw a Fluid and a single particle
  • 7.   On increasing the Reynolds number further, a point is reached when the boundary layer becomes turbulent and the point of separation moves further back on the surface of the sphere,  Roughening the surface of a sphere causes the transition to a turbulent boundary layer to occur at a lower value of the Reynolds number. Relative motion btw a Fluid and a single particle
  • 8.   Terminal velocity is the highest velocity attainable by an object as it falls/moves through a fluid.  At some speed, the drag or force of resistance will equal the gravitational pull on the object (buoyancy is considered below). At this point the object ceases to accelerate and continues falling at a constant speed called the terminal velocity. Terminal Settling/Falling velocity
  • 9.   Processes for the separation of particles of various sizes and shapes often depend on the variation in the behaviour of the particles when they are subjected to the action of a moving fluid.  Further, many of the methods for the determination of the sizes of particles in the sub-sieve ranges involve relative motion between the particles and a fluid Applications/Uses
  • 10.