Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either...

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Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction to Particle Technology , 2nd Edition. Publisher John Wiley & Son, Chichester, West Sussex, England.

Transcript of Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either...

Page 1: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

Week # 3MR Chapter 3

• Tutorial #3• MR #3.1, 3.5, 3.9, 3.12.

• To be discussed on Feb 4, 2015.

• By either volunteer or class list.

MARTIN RHODES (2008) Introduction to Particle Technology , 2nd Edition. Publisher John Wiley & Son, Chichester, West Sussex, England.

Page 2: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

Settling of a suspension of particles

Equation (3.5)

Page 3: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

Ufs

Equation (3.6)

Page 4: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

Batch settling

Re < 0.3:

Re > 500:

Equation (3.20)

Page 5: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

Khan & Richardson

Archimedes number, Ar:

Equation (*): A maximum is observed at = (n/(n+1);Inflection point at = (n-1)/(n+1)

(*)

Page 6: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

• Sharp interfaces in sedimentation

Variation of dimensionless setting flux with suspension concentration ReP<0.3, n=4.65

Page 7: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

Concentration interface in sedimentation

UPS1, UPS2 are particle volumetric flux Ups = Up * C =Up * (1-)

(a) The gradient of the curve at concentration C is the velocity of a layer of suspension of this concentration.(b) The slope of a chord joining two points at concentration C1 and C2 is the velocity of discontinuity or interface between suspensions of these concentrations.

Page 8: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

• The batch settling test

Determination of interface and layer velocities from a batch flux plot

C2

C3C2

Page 9: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

Type 1 batch settling. Zones A, B and S are zones of constant concentration.Zone A is a clear liquid; zone B is a suspension of concentration equal to the initial

suspension concentration; zone S is a suspension of settled bed or sediment concentration

Page 10: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

Change in positions of interface AB, BS and AS with time in Type 1 batch settling

Page 11: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

Type 2 batch settling. Zones A, B and S are zones of constant concentration.Zone A is clear liquid; zone B is a suspension of concentration equal to the initial

suspension concentration; zone S is a suspension of settled bed concentration. ZoneE is a zone of variable concentration.

S

Page 12: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

Change in positions of interface AB, BEmin, EmaxS and AS with time in Type 2 batch settling

Page 13: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

Determining if settling will be Type 1 or Type 2. A line through CS tangent to the flux curve gives CB1 and CB2. Type 2 settling occurs when initial

suspension concentration is between CB1 and CB2.

Page 14: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

• Relationship between the Height-Time curve and the flux plot

Analysis of batch settling test

Page 15: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

Analysis of batch settling; relative velocities of a plane of concentration C and the particles in the plane

Page 16: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

Volume of particles which have passed through this plane in time t

Page 17: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

Continuous settling

• Settling of a suspension in a flowing fluid

Continuous settling; downflow only

Page 18: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

** Upward flow of a particle suspension in a vessel gives total downward particle flux.

**(1-)

Equation (3.41)

Page 19: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

Total flux plot for settling in downward flow

Page 20: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

Total flux plot for settling in upward flow

Page 21: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

• A real thickener (with upflow and downflow sections)

A real thickener, combining upflow and downflow (F, L and V are volumes; CF, CL and CV are concentrations)

Page 22: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

Total flux plot for a thickener at

critical loading

Page 23: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

Total flux plot for an underloaded

thickener

Page 24: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

Total flux plot for an overloaded thickener

Page 25: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

Alternative total flux plot shape;

thickener at critical loading

Page 26: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

Alternative total flux plot shape;

Overloaded thickener

Page 27: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.
Page 28: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.
Page 29: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.

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Page 30: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.
Page 31: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.
Page 32: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.
Page 33: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.
Page 34: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.
Page 35: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.
Page 36: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.
Page 37: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.
Page 38: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.
Page 39: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.
Page 40: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.
Page 41: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.
Page 42: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.
Page 43: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.
Page 44: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.
Page 45: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.
Page 46: Week # 3 MR Chapter 3 Tutorial #3 MR #3.1, 3.5, 3.9, 3.12. To be discussed on Feb 4, 2015. By either volunteer or class list. MARTIN RHODES (2008) Introduction.