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# : (a) in terms of steam flowrates and heat of condensations

Develop the mathematical model for the system shown in the following figure by

developing the mass and energy balances.

ii. Express the energy given by two steam flows in two different ways: (a) in terms of steam

flowrates and heat of condensations and (b) in terms of heat exchange (e.g. heat transfer

coefficients, heat transfer areas and and temperatures)

Given that

The cross-sectional areas of two tanks are A1 and A2 measured in m2

All flowrates are volumetric measured in m3

/min.

Flowrates F2 and F3 are proportional to level H1 and H2 measured in meter, respectively.

Q1 kg/min of saturated steam at Ts1 flowing in the steam coil is used to heat the first tank.

Q2 kg/min of saturated steam at Ts2 flowing in the steam coil is used to heat the second.

The tanks are well mixed. No vapour is produced either in the first or the second tank.

A1

F1, T1

Q1

Q2

F2, T2

A2

F3, T3

Ac1

Ac2

H1

The steam coming out from the steam coils are condensates (or liquid water) at the same

temperatures of the steam entering the coils. The heat of condensation (or latent heats) at

Ts1 and Ts2 are H1 and H2 (kJ/kg of steam), respectively.

The heat exchange areas of the two steam coils are Ac1 and Ac2, respectively. The heat

transfer coefficients based on the surface areas of the steam coils are h1 and h2

(kJ/min.m2

C)

It can be assumed constant density  (kg/m3

and constant heat capacity Cp (kJ/kgC) for

the liquid water in the system

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