Separation
by drying
           CHE 61 A
      HRCascon, PhD
Drying of solids
  Encompasses two fundamental and simultaneous processes
                        involving:
                                  (2) transfer of liquid and vapor
  (1) the transfer of heat to
                                  within the solid and vapor from
   evaporate the liquid and
                                            the surface
Factors governing the rates of (1) and (2) govern the drying rate
            Heat transfer methods utilized in
            dryers: convection, conduction,
            radiation or a combination of
            these
Drying of   Mass transfer occur within the
            solid because of concentration
solids      gradient
            Drying process evaluation is
            generally based on the effects of
            external conditions of T, P,
            humidity, gas flow rate, state of
            solid subdivision, etc
              Keyfactors to
              consider:
               1.   Properties of material
Equipment           to be dried
selection      2.   Drying characteristics
                    of the material
for drying     3.   Flow quantities and
                    conditions
solids         4.   Product quality
               5.   Possible dust and
                    solvent recovery
(continuation)
         Visual
familiarization
 of some dryer
    equipment
Tunnel dryer
Rotary
 dryer
Vacuum dryer
Tower contactor dryer
            wet
Drum dryer
             The drums are heated to
             dry the coating material
             prior to scraping off
Screw conveyor dryer
Fluid bed dryer
Spouted bed dryer
Pneumatic conveyor dryer
Spray dryer
  Liquid feed
             Consult Table 15-15 to decide on the best dryer type to use
             Feed input/output parameters are usually set as process requirements
             while parameters of the drying medium are to be assumed
General
             Begin assumptive calculations based on Table 15-16, using theory-based
design       design equations
procedure    Final design decisions are usually based on dimensions or dimensional
             ratio normally encountered in actual applications
for dryers
             Calculations may be iterative, requiring adjustments in the drying
             medium parameters, to arrive on recommended dimensional ratio(s)
             Change of dryer type maybe required if design parameter
             recommendation(s) is/are difficult to obtain
General design procedures
Drying calculations
  𝑑𝑋 𝑘𝑑′ 𝑋(𝑇𝐺 − 𝑇𝑤𝑏 )
      =
  𝑑𝜃𝑟       𝑡𝑠           For tunnel, tower contactors, drum dryers…
                         X = weight ratio of liquid to dry solid
                         TG = dry-bulb temp of gas
                         ts = thickness of solid bed
                𝑋𝑜       Kd’ = drying rate constant
          𝑡𝑠 ln( )
                𝑋𝑖
  𝜃𝑟 =
       𝑘𝑑′ (𝑇𝐺 − 𝑇𝑤𝑏 )
    Drying calculations
   For dryers that provide agitated beds or intimate gas-solid
    contact, approximate residence times can be evaluated by
    energy balance on the solids stream
       𝑞 = 𝑈𝐴∆𝑇𝑙𝑜𝑔𝑚𝑒𝑎𝑛
        𝑞 = 𝑈′𝑣𝑑 𝐴∆𝑇𝑙𝑜𝑔𝑚𝑒𝑎𝑛
• Where U’ is the overall HT coefficient based on dryer volume
• ∆T log mean is based on the differences between dry bulb gas
  temp and wet bulb temperatures at the inlet an exit of the
  dryer. For drying of hygroscopic materials, the wet bulb temp
  should be replaced by the saturation temp
    Drying calculations
   Once the area or volume of the dryer has been
    stablished, the residence time can be evaluated
    from:
            𝑣𝑑 𝑓𝑠 𝜌𝑠
       𝜃𝑟 =
             𝑚ሶ 𝑠
Where
• vd is the dryer volume
• fs = fraction of the dryer occupied by the solid
Given: you should draw the schematic diagram
of the solid to the countercurrent airflow, it can
heat transfer rather than by mass transfer. The
          approximated from Table 15-16 to be
     the internal surface area of the dryer. Thus,
                             1 - 0.125
                            Log mean
                          3.0 kg/s·m2 (midway
Then from
  dry air
and outlet
  respec-