The two-tank heating process shown in Fig. 1 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 1,000 Btu/min, and the temperature of the inlet water Ti drops from 60 °F to 52 °F according to a step function. These changes in heat flow and inlet water temperature occur simultaneously. (a) Develop a block diagram that relates the outlet temperature of tank 2 to the inlet temperature to tank 1 and the flow of heat to tank 2. (b) Obtain an expression for T2'(s) where T2' is the deviation in the temperature of tank 2. This expression should contain numerical values of the parameters. (c) Determine T2 (t) and T2 (a). (d) Sketch the response T2(t) versus t. Initially, T=T1=T2= 60 °F and q=0. The following data apply: w=250 lb/min Holdup volume of each tank=5 ft Density of fluid=50 lb/ft³ Heat capacity of fluid=1 Btu/(lb-°F).
The two-tank heating process shown in Fig. 1 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 1,000 Btu/min, and the temperature of the inlet water Ti drops from 60 °F to 52 °F according to a step function. These changes in heat flow and inlet water temperature occur simultaneously. (a) Develop a block diagram that relates the outlet temperature of tank 2 to the inlet temperature to tank 1 and the flow of heat to tank 2. (b) Obtain an expression for T2'(s) where T2' is the deviation in the temperature of tank 2. This expression should contain numerical values of the parameters. (c) Determine T2 (t) and T2 (a). (d) Sketch the response T2(t) versus t. Initially, T=T1=T2= 60 °F and q=0. The following data apply: w=250 lb/min Holdup volume of each tank=5 ft Density of fluid=50 lb/ft³ Heat capacity of fluid=1 Btu/(lb-°F).
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:The two-tank heating process shown in Fig. 1 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 1,000 Btu/min, and the temperature of the inlet water Ti drops from 60 °F to 52 °F according to
a step function. These changes in heat flow and inlet water temperature occur simultaneously.
(a) Develop a block diagram that relates the outlet temperature of tank 2 to the inlet temperature to tank 1
and the flow of heat to tank 2.
(b) Obtain an expression for T2 (s) where T2 is the deviation in the temperature of tank 2. This expression
should contain numerical values of the parameters.
(c) Determine T2 (t) and T2 (a).
(d) Sketch the response T2(t) versus t.
Initially, T=T1=T2= 60 °F and q=0. The following data apply: w=250 lb/min Holdup volume of each
tank=5 ft Density of fluid=50 lb/ft Heat capacity of fluid=1 Btu/(lb-°F).
T1
T2
Tank 1
Tank 2
Fig. 1: Two tank heating process.
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