Q4: The two-tank heating process shown in Fig. (2) consists of two identical well-stirred tanks in series, A flow of heat can enter tank 2. At time t- 0, the flow rate of heat to tank 2 suddenly increases according to a step function to 1000 Btu/ min. and the temperature of inlet water T, drops from 60 to 52°F according to a step function. These changes in heat flow and inlet temperature occurs simultancously. (a) Develop a block diagram' that relates the outlet temperature of tank 2 to the inlet temperature of tank! and flow rate of heat to tank 2. (b) Obtain an expression for T; () (Deviation in the temperature). Initially T,-7,-7,- 60F and q-0, W-250 lhift, Volume of cach tank 5 ft, Heat capacity 1 Btu/lh (F). Waer

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Q4: The two-tank heating process shown in Fig. (2) consists of two identical well-stirred tanks in
series. A flow of heat can enter tank 2. At time t- 0, the flow rate of heat to tank 2 suddenly
increases according to a step function to 1000 Btu/ min. and the temperature of inlet water T, drops
from 60 to 52°F according to a step function. These changes in heat flow and inlet temperature
occurs simultancously. (a) Develop a block diagram' that relates the outlet temperature of tank 2 to
the intet temperature of tankI and flow rate of heat to tank 2. (b) Obtain an expression for T; (s)
(Deviation in the temperature). Initialiy T,-T,-T,- 60'F and q 0, W-250 Ibift, Volume of
cach tank - 5 ft, Heat capacity 1 Btu/lb (F).
egut
Fie)
Fin (2)
Transcribed Image Text:Q4: The two-tank heating process shown in Fig. (2) consists of two identical well-stirred tanks in series. A flow of heat can enter tank 2. At time t- 0, the flow rate of heat to tank 2 suddenly increases according to a step function to 1000 Btu/ min. and the temperature of inlet water T, drops from 60 to 52°F according to a step function. These changes in heat flow and inlet temperature occurs simultancously. (a) Develop a block diagram' that relates the outlet temperature of tank 2 to the intet temperature of tankI and flow rate of heat to tank 2. (b) Obtain an expression for T; (s) (Deviation in the temperature). Initialiy T,-T,-T,- 60'F and q 0, W-250 Ibift, Volume of cach tank - 5 ft, Heat capacity 1 Btu/lb (F). egut Fie) Fin (2)
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