A perfectly stirred tank is used to heat a flowing liquid.The dynamic model is shown in Fig.where:P is the power applied to the heater Q is the heating rate of the system T is the actual temperature in the tank Tₘ is the measured temperature time constants have units of min A test has been made with P′ varied sinusoidally as P′=0.5 sin 0.2t For these conditions, the measured temperature isT′ₘ=3.464 sin(0.2t+φ) Find a value for the maximum error bound between T′ and T′ₘ if the sinusoidal input has been applied for a long time
A perfectly stirred tank is used to heat a flowing liquid.The dynamic model is shown in Fig.where:P is the power applied to the heater Q is the heating rate of the system T is the actual temperature in the tank Tₘ is the measured temperature time constants have units of min A test has been made with P′ varied sinusoidally as P′=0.5 sin 0.2t For these conditions, the measured temperature isT′ₘ=3.464 sin(0.2t+φ) Find a value for the maximum error bound between T′ and T′ₘ if the sinusoidal input has been applied for a long time
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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A perfectly stirred tank is used to heat a flowing liquid.The dynamic model is shown in Fig.where:P is the power applied to the heater Q is the heating rate of the system T is the actual temperature in the tank Tₘ is the measured temperature time constants have units of min A test has been made with P′ varied sinusoidally as P′=0.5 sin 0.2t For these conditions, the measured temperature isT′ₘ=3.464 sin(0.2t+φ) Find a value for the maximum error bound between T′ and T′ₘ if the sinusoidal input has been applied for a long time
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