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analyzed fully developed laminar flow through a heated tube

analyzed fully developed laminar flow through a heated tube

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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analyzed fully developed laminar flow through a heated tube and considered the case of a constant wall heat flux, qo. Do the following: Show that the limiting Nusselt number (fully developed heat transfer) is 4.364. a. Find T(r) by integrating the energy balance d dT 2(v₂) dTm 1 (d) = ²) [₁- ()], r dr α dz (Remember that the temperature profile is linear so dTm/dz is a constant.) b. Now derive an expression for Tm according to the definition (v₂T) (v₂) Tm = c. Substitute the expression forTm into the "Newton's Law" expression qoh (Tom) find that and simplify. d. Finally, knowing from the energy balance that p(v₂)CpR dTm 2 dz % = Nu = hD k = 4.364
Transcribed Image Text:analyzed fully developed laminar flow through a heated tube and considered the case of a constant wall heat flux, qo. Do the following: Show that the limiting Nusselt number (fully developed heat transfer) is 4.364. a. Find T(r) by integrating the energy balance d dT 2(v₂) dTm 1 (d) = ²) [₁- ()], r dr α dz (Remember that the temperature profile is linear so dTm/dz is a constant.) b. Now derive an expression for Tm according to the definition (v₂T) (v₂) Tm = c. Substitute the expression forTm into the "Newton's Law" expression qoh (Tom) find that and simplify. d. Finally, knowing from the energy balance that p(v₂)CpR dTm 2 dz % = Nu = hD k = 4.364
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