# Mass density lwh – Hot water density The

Mass  balance and energy (heat) balance equations
are formed using algebraic equations which are derived from experimental data
and calibration process are done for level, Flow transmitters (differential
pressure transmitter), temperature transmitter (3 – wire resistance
temperature  detector(RTD),  Valve actuators and unknown quantities such
transfer of  heat through the heating
coils7. The relationships between these parameters are practically non-linear
and also the constraints are very hard such as tank should not be empty and
overflow.

Mass
& Energy balance of the process dynamics are given by the following
equations

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= fwc + fwh – fo(l)             …..(1)

= Wst + hwh + lwhfwh
+ hwc lwcfwc – houtloutfo(l)
….(2)

Where,

l

Denotes level

V

Volumes of
water

fwh

Hot water flow

fwc

Cold water
flow

fo

­-

outflow

H

Heat rate
(total enthalpy)

hwh

Specific
enthalpy of hot water

hout

Specific
enthalpy of outlet water

lwc

–

Cold water
density

lwh

–

Hot water
density

The
temperature of cold and hot water set to 25

and 55

respectively.

Mass  balance and energy (heat) balance equations
are formed using algebraic equations which are derived from experimental data
and calibration process are done for level, Flow transmitters (differential
pressure transmitter), temperature transmitter (3 – wire resistance
temperature  detector(RTD),  Valve actuators and unknown quantities such
transfer of  heat through the heating
coils7. The relationships between these parameters are practically non-linear
and also the constraints are very hard such as tank should not be empty and
overflow.

Mass
& Energy balance of the process dynamics are given by the following
equations

= fwc + fwh – fo(l)             …..(1)

= Wst + hwh + lwhfwh
+ hwc lwcfwc – houtloutfo(l)
….(2)

Where,

l

Denotes level

V

Volumes of
water

fwh

Hot water flow

fwc

Cold water
flow

fo

­-

outflow

H

Heat rate
(total enthalpy)

hwh

Specific
enthalpy of hot water

hout

Specific
enthalpy of outlet water

lwc

–

Cold water
density

lwh

–

Hot water
density

The
temperature of cold and hot water set to 25

and 55

respectively.