Q6/ The contents of the stirred-tank heating system shown in Fig. E4.10 are heated at a constant rate of Q(Btu/h) using a gas-fired heater. The flow rate w(lb/h) and volume V(ft') are constant, but the heat loss to the surroundings Q.(Btu/h) varies with the wind velocity v (ft/s) according to the expressions: Q. = UA(T – T.) and U(t) = U + bv²(t) where U, A, b, and Ta are constants. Derive the transfer function between exit temperature T and wind velocity v. List any additional assumptions that you make. %3D
Q6/ The contents of the stirred-tank heating system shown in Fig. E4.10 are heated at a constant rate of Q(Btu/h) using a gas-fired heater. The flow rate w(lb/h) and volume V(ft') are constant, but the heat loss to the surroundings Q.(Btu/h) varies with the wind velocity v (ft/s) according to the expressions: Q. = UA(T – T.) and U(t) = U + bv²(t) where U, A, b, and Ta are constants. Derive the transfer function between exit temperature T and wind velocity v. List any additional assumptions that you make. %3D
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:Q6/ The contents of the stirred-tank heating system shown in Fig. E4.10
are heated at a constant rate of Q(Btu/h) using a gas-fired heater. The flow
rate w(lb/h) and volume V(ft³) are constant, but the heat loss to the
surroundings Q(Btu/h) varies with the wind velocity v (ft/s) according to the
expressions: Q. = UA(T – T.) and U(t) = U + bv°(t)
where U, A, b, and Ta are constants. Derive the transfer function between
exit temperature T and wind velocity v. List any additional
assumptions that you make.
%3D
w
V
Ta
T
ellllld
w
Q
Figure E4.10
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