Chapter 3 (law of conservation of mass & and 1st law)
Dryers
1. DRYER
Dryer - is an equipment used in removing moisture or solvents from a wet
material or product.
Hygroscopic Substance - a substance that can contained bound moisture
and is variable in moisture content which they posses at different times.
Weight of Moisture - amount of moisture present in the product at the start
or at the end of the drying operation.
Bone Dry Weight - it is the final constant weight reached by a hygroscopic
material when it is completely dried out. It is the weight of the product without
the presence of moisture.
Gross Weight - it is the sum of the bone-dry weight of the product and the
weight of moisture.
Moisture Content - it is the amount of moisture expressed as a percentage
of the gross weight or the bone dry weight of the product.
A) Wet Basis - is the moisture content of the product in percent
of the gross weight.
B) Dry Basis 0r Regain - it is the moisture content of the product
in percent of the bone dry weight.
2. Continuous Drying - is that type of drying operation in which the material
to be dried is fed to and discharge from the dryer continuously.
Batch Drying - is that type of drying operation in which the material to be
dried is done in batches at definite interval of time.
CLASSIFICATION OF DRYERS
1. Direct Dryers - conduction heat transfer
2. Indirect Dryers - convection heat transfer
3. Infra-red Dryers - radiation heat transfer
PRODUCT SYMBOLS
1. GW = BDW + M
2. Xm = [M/GW] x 100% (wet basis)
3. Xm = [M/BDW] x 100% (dry basis or regain)
where: GW - gross weight
BDW - bone dry weight
M - weight of moisture
Xm - moisture content
3. HEAT REQUIREMENT BY THE PRODUCT
Q = Q 1 + Q 2 + Q3 + Q 4
Q1 = (BDW)Cp(tB - tA) kg/hr
Q2 = MBCpw(tB - tA) kg/hr
Q2 = MB(hfB - hfA) kg/hr
Q3 = (MA - MB)(hvB - hfA) kg/hr = MR(hvB - hfA)
Q4 = heat loss
Q1 - sensible heat of product, KJ/hr
Q2 - sensible heat of moisture remaining in the product, KJ/hr
Q3 - heat required to evaporate and superheat moisture removed from
the product in KJ/hr
Q4 - heat losses, KJ/hr
A,B - conditions at the start or at the end of drying operation
t - temperature in C
hf - enthalpy of water at saturated liquid, KJ/kg
hv - enthalpy of vapor, KJ/kg
4. Condition A Condition B
GWA GWB
MB
MA
BDW
MR(moisture removed)
BDW (weight of product without moisture)
5. It is desired to designed a drying plant to have a capacity of 680 kg/hr of
product 3.5% moisture content from a wet feed containing 42% moisture.
Fresh air at 27°C with 40% RH will be preheated to 93°C before entering
the dryer and will leave the dryer with the same temperature but with a
60% RH. Find:
a) the amount of air to dryer in m3/sec ( 0.25)
b) the heat supplied to the preheater in KW (16)
At 27 °C DB and 40% RH At 93° C and W = .0089 kgm/kgda
W = .0089 kgm/kgda h = 117.22 KJ/kgda
h = 49.8 KJ/kgda υ = 1.05 m3/kgda
At 93 °C and 60% RH
W = 0.54 kgm/kgda
h = 1538.94 KJ/kgda
6. Q
0 Fresh air 1 heated air 2 exhaust air
Dryer
m m
Air Preheater
A GWA B GWB
GW = BDW + M Given:
GW = BDW + Xm(GW) GWB = 680 kg/hr
BDW
GW = XmB = 0.035 ; XmA = 0.42
(1 − X m ) W0 = 0.0089 ; h0 = 49.8
BDW = GW(1 − X m ) W1 = 0.0089 ; h1 = 117.22 ; v1 = 1.05
M = X m (GW) W2 = 0.54 ;h2 = 1538.94
7. h2
2 MB = 23.8 kg/hr
h1 W2
h0 BDW = 656.2 kg/hr
GWA = 1131.4 kg/hr
W0 = W 1 MA = 475.2 kg/hr
0 1
By moisture balance on dryer By energy balance in the
mW1 + MA = mW2 + MB preheater:
M A − MB Q = m(h1 - h0)
m=
W2 − W1 Q = 16 KW
m = 850 kg/hr
Qa1 = 850(1.05) = 892.43 m3/hr
Qa1 = 0.25 m3/sec
8. Raw cotton has been stored in a warehouse at 29°C and 50% relative
humidity, with a regain of 6.6%. (a) the cotton goes through a mill and
passes through the weaving room kept at 31°C and 70% relative humidity
with a regain of 8.1%. What is the moisture in 200 kg of cotton? (b) for
200 kg of cotton from the warehouse, how many kilograms should appear
in the woven cloth, neglecting lintage and thread
losses? ANSWER: a) 12.4 kg ; b) 202.8 kg
GW = BDW + M
M = Xm(BDW)
BDW = GW/(1+Xm)
Given:
XmA = 0.066 ; XmB = 0.081
GWA = 200 kg
BDW = 187.61 kg
MA = 12.4 kg
MB = 15.2 kg
GW = 202.8 kg
9. A 10 kg sample from a batch of material under test is found to have a BDW
of 8.5 kg. This material is processed and is then found to have a regain
(dry basis moisture content) of 20%. How much weight of product appears for
each kilogram of original material. (1.02 kg/kg)
Given:
GWA = 10 kg ; BDW = 8.5 kg ; XmB = 0.20 (dry basis)
M = GW - BDW
MA = 1.5 kg
MB = XmB(BDW)
MB = 1.7 kg
GW = BDW + M
GWB = 10.2 kg
GWB/GWA = 1.02
10. A rotary dryer is fired with bunker oil of 41 870 KJ/kg HHV is to produce
20 metric tons per hour of dried sand with 0.5% moisture from a wet feed
containing 7% moisture, specific heat of sand is 0.879 KJ/kg-°C, temperature
of wet feed is 30°C and temperature of dried product is 115°C. Calculate
the L/hr of bunker oil consumed if the specific gravity of bunker oil is 0.90
and dryer efficiency of 60%.
hf at 30°C = 125.79 KJ/kg
hg at 101.325 KPa and 115°C = 2706.12 KJ/kg
ut
Wet Feed (sand) Gas o
Flue
Dried sand
G as in
Flue