6.2 Heating a Liquid Mixture
245
Fig. 6.49 Tank icon
• mode = M Empty , the outflow of fluid from the reservoir is impossible, this occurs
if the mass of fluid in the reservoir is less than the limit mass ≤ ε m = 1 kg;
• mode = M Normal , if mass > ε m , V olumeT ank > V direct and reverse fluid flow
possible;
• mode = M Full , further filling of the tank is not possible, this occurs if the volume
of liquid begins to exceed the volume of the tank V olumeT ank ≤ V .
The processes in the tank are described by the equations:
Equation for fluid flow
dm
dt
= F m
The volume of liquid (mixture)
V =
m(k)
ρ k
+
m(b)
ρ b
Knowing the temperature of the liquid temp, we can write its heat capacity as a
linear function of temperature:
C p = C p0 + C p1 · temp
Heat transfer equation (F h is the amount of heat carried by the fluid through the
pump, Q is the amount of heat received from the heater)
dH
dt
= F h + Q
H = m · C p · temp
245
Fig. 6.49 Tank icon
• mode = M Empty , the outflow of fluid from the reservoir is impossible, this occurs
if the mass of fluid in the reservoir is less than the limit mass ≤ ε m = 1 kg;
• mode = M Normal , if mass > ε m , V olumeT ank > V direct and reverse fluid flow
possible;
• mode = M Full , further filling of the tank is not possible, this occurs if the volume
of liquid begins to exceed the volume of the tank V olumeT ank ≤ V .
The processes in the tank are described by the equations:
Equation for fluid flow
dm
dt
= F m
The volume of liquid (mixture)
V =
m(k)
ρ k
+
m(b)
ρ b
Knowing the temperature of the liquid temp, we can write its heat capacity as a
linear function of temperature:
C p = C p0 + C p1 · temp
Heat transfer equation (F h is the amount of heat carried by the fluid through the
pump, Q is the amount of heat received from the heater)
dH
dt
= F h + Q
H = m · C p · temp
