The dynamic behavior of a packed-bed reactor can be approximated by a transfer function model T′(s)/T′ᵢ(s)=3(2−s)/{(10s+1)(5s+1)} whereTᵢ is the inlet temperature,T is the outlet temperature(∘C), and the time constants are in hours. The inlet tempera-ture varies in a cyclic fashion due to the changes in ambienttemperature from day to night.As an approximation, assume that T′ᵢ varies sinusoidallywith a period of 24 hours and amplitude of 12∘C. What is themaximum variation in the outlet temperature,T?
The dynamic behavior of a packed-bed reactor can be approximated by a transfer function model T′(s)/T′ᵢ(s)=3(2−s)/{(10s+1)(5s+1)} whereTᵢ is the inlet temperature,T is the outlet temperature(∘C), and the time constants are in hours. The inlet tempera-ture varies in a cyclic fashion due to the changes in ambienttemperature from day to night.As an approximation, assume that T′ᵢ varies sinusoidallywith a period of 24 hours and amplitude of 12∘C. What is themaximum variation in the outlet temperature,T?
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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The dynamic behavior of a packed-bed reactor can be approximated by a transfer function model T′(s)/T′ᵢ(s)=3(2−s)/{(10s+1)(5s+1)} whereTᵢ is the inlet temperature,T is the outlet temperature(∘C), and the time constants are in hours. The inlet tempera-ture varies in a cyclic fashion due to the changes in ambienttemperature from day to night.As an approximation, assume that T′ᵢ varies sinusoidallywith a period of 24 hours and amplitude of 12∘C. What is themaximum variation in the outlet temperature,T?
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