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The following energy balance was developed: k a²T pC, მs2 s дт = 40 R Oz subject to the boundary conditions T(z = 0, s) To = T(z,so) = To T(z, s = 0) Tw a. Define the combined variable y = f = Convert the above model in terms of T, s, and z to one in terms of T and y. You will need to find f, a, and b that converts the PDE into the ODE: d²T + 0 dy2 dy subject to the transformed boundary conditions. b. Derive an expression (which will be in integral form) for T(s, z).

The following energy balance was developed: k a²T pC, მs2 s дт = 40 R Oz subject to the boundary conditions T(z = 0, s) To = T(z,so) = To T(z, s = 0) Tw a. Define the combined variable y = f = Convert the above model in terms of T, s, and z to one in terms of T and y. You will need to find f, a, and b that converts the PDE into the ODE: d²T + 0 dy2 dy subject to the transformed boundary conditions. b. Derive an expression (which will be in integral form) for T(s, z).

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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The following energy balance was developed: k 8²T S ƏT 4vo Raz pC» მs2 subject to the boundary conditions a. T(z = 0, s) = To T(z,s → ∞0) = To T(z, s = 0) Tw = Define the combined variable y = f ²2/16 sa = Convert the above model in terms of T, s, and z to one in terms of T and y. You will need to find f, a, and b that converts the PDE into the ODE: d²T dy² y². = 0 dy subject to the transformed boundary conditions. b. Derive an expression (which will be in integral form) for T(s, z).
Transcribed Image Text:The following energy balance was developed: k 8²T S ƏT 4vo Raz pC» მs2 subject to the boundary conditions a. T(z = 0, s) = To T(z,s → ∞0) = To T(z, s = 0) Tw = Define the combined variable y = f ²2/16 sa = Convert the above model in terms of T, s, and z to one in terms of T and y. You will need to find f, a, and b that converts the PDE into the ODE: d²T dy² y². = 0 dy subject to the transformed boundary conditions. b. Derive an expression (which will be in integral form) for T(s, z).
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