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Radial heat flow through multi- pie cylinders in series. B In conduction through series, the quantity of heat per unit time, g is the same in each layer, we can write Fourier's equation as: kc Ac tm (T, – Ta) - T3) r4 - 13 k, A tm (T, – T2) = q = kg AB Im (T2 – 1 r3 – r2 where: (A4 – A3) In(A4/A3) (Аз — А2) (A2 – A1) In(A2/A¡) AB im Ac tm Aa tm In(A3/A2)

Radial heat flow through multi- pie cylinders in series. B In conduction through series, the quantity of heat per unit time, g is the same in each layer, we can write Fourier's equation as: kc Ac tm (T, – Ta) - T3) r4 - 13 k, A tm (T, – T2) = q = kg AB Im (T2 – 1 r3 – r2 where: (A4 – A3) In(A4/A3) (Аз — А2) (A2 – A1) In(A2/A¡) AB im Ac tm Aa tm In(A3/A2)

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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Derive the final equation for the multilayer cylinder following the method used in the derivation for the flat walls in series

 

Radial hear flow through multi- pie cylinders in series. r4 B In conduction through series, the quantity of heat per unit time, g is the same in each layer, we can write Fourier's equation as: kc Ac tm ka Aa lm r2 – r1 kB AB Im (T2 – T3) = q = (7, — Т) - (Т, — Т.) r3 – r2 r4 - 13 where: (Аз — А2) (A4 – A3) - (A2 – A1) In(A2/A,) Aa tm AB Im Ac im In(A4/A3) In(A3/A2)
Transcribed Image Text:Radial hear flow through multi- pie cylinders in series. r4 B In conduction through series, the quantity of heat per unit time, g is the same in each layer, we can write Fourier's equation as: kc Ac tm ka Aa lm r2 – r1 kB AB Im (T2 – T3) = q = (7, — Т) - (Т, — Т.) r3 – r2 r4 - 13 where: (Аз — А2) (A4 – A3) - (A2 – A1) In(A2/A,) Aa tm AB Im Ac im In(A4/A3) In(A3/A2)
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