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Consider the following specific information: ⚫ There is a constant 500 L volume in the tank. The inlet flow rate is held constant at 40 L/min. There are constant liquid properties: 0.8 kg/L density & 0.5 cal/g.°C heat capacity. When the inlet temperature is 45°C, an outlet temperature of 65°C can be obtained with 180°C steam. (d) What are the numeric values for K., K, and T based on the specific information? (e) (f) We want to consider a step change of 10°C for the inlet temperature while keeping the set point temperature constant. Graph the response of the change in the outlet temperature from 0 to 20 min when t₁ =1 min and K₁ = 10. We want to consider a step change of 10°C for the set point temperature while keeping the inlet temperature constant. Graph the responses for the outlet temperature when t = 1 min and K = 10.

Consider the following specific information: ⚫ There is a constant 500 L volume in the tank. The inlet flow rate is held constant at 40 L/min. There are constant liquid properties: 0.8 kg/L density & 0.5 cal/g.°C heat capacity. When the inlet temperature is 45°C, an outlet temperature of 65°C can be obtained with 180°C steam. (d) What are the numeric values for K., K, and T based on the specific information? (e) (f) We want to consider a step change of 10°C for the inlet temperature while keeping the set point temperature constant. Graph the response of the change in the outlet temperature from 0 to 20 min when t₁ =1 min and K₁ = 10. We want to consider a step change of 10°C for the set point temperature while keeping the inlet temperature constant. Graph the responses for the outlet temperature when t = 1 min and K = 10.

Introduction to Chemical Engineering Thermodynamics
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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need d-f

note: a-c don't need to go past transfer function form

We will use PI control for this system. (b) (c) What is the expression for T'(s) when a step change is made in the inlet temperature? Use the K., K., and t, variables, NOT the parameters from the mass & energy balance ODES. What is the expression for T'(s) when a step change is made in the set point temperature? Use the K., K., and ɩ variables, NOT the parameters from the mass & energy balance ODES. Consider the following specific information: (d) (e) (f) • There is a constant 500 L volume in the tank. The inlet flow rate is held constant at 40 L/min. There are constant liquid properties: 0.8 kg/L density & 0.5 cal/g.°C heat capacity. When the inlet temperature is 45°C, an outlet temperature of 65°C can be obtained with 180°C steam. What are the numeric values for K., K, and t, based on the specific information? We want to consider a step change of 10°C for the inlet temperature while keeping the set point temperature constant. Graph the response of the change in the outlet temperature from 0 to 20 min when t₁ =1 min and K = 10. We want to consider a step change of 10°C for the set point temperature while keeping the inlet temperature constant. Graph the responses for the outlet temperature when T = 1 min and K₁ = 10.
Transcribed Image Text:We will use PI control for this system. (b) (c) What is the expression for T'(s) when a step change is made in the inlet temperature? Use the K., K., and t, variables, NOT the parameters from the mass & energy balance ODES. What is the expression for T'(s) when a step change is made in the set point temperature? Use the K., K., and ɩ variables, NOT the parameters from the mass & energy balance ODES. Consider the following specific information: (d) (e) (f) • There is a constant 500 L volume in the tank. The inlet flow rate is held constant at 40 L/min. There are constant liquid properties: 0.8 kg/L density & 0.5 cal/g.°C heat capacity. When the inlet temperature is 45°C, an outlet temperature of 65°C can be obtained with 180°C steam. What are the numeric values for K., K, and t, based on the specific information? We want to consider a step change of 10°C for the inlet temperature while keeping the set point temperature constant. Graph the response of the change in the outlet temperature from 0 to 20 min when t₁ =1 min and K = 10. We want to consider a step change of 10°C for the set point temperature while keeping the inlet temperature constant. Graph the responses for the outlet temperature when T = 1 min and K₁ = 10.
Condensing (saturated) steam is used within internal coils to do final heating of a liquid in a well-mixed surge tank. The temperature out of the tank is controlled by adjustments to the steam valve and, hence, the steam temperature in the coil. If we only consider changes to the inlet temperature (and not flowrate, composition, etc.) the expected block flow diagram is as follows. T G₁ sp ˊ Tank Ko K ps+1 T' (a) Develop transfer functions for the tank (consistent with the block flow diagram) from the dynamic overall material balance and energy balance equations. What are the expected
Transcribed Image Text:Condensing (saturated) steam is used within internal coils to do final heating of a liquid in a well-mixed surge tank. The temperature out of the tank is controlled by adjustments to the steam valve and, hence, the steam temperature in the coil. If we only consider changes to the inlet temperature (and not flowrate, composition, etc.) the expected block flow diagram is as follows. T G₁ sp ˊ Tank Ko K ps+1 T' (a) Develop transfer functions for the tank (consistent with the block flow diagram) from the dynamic overall material balance and energy balance equations. What are the expected
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