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2. For fully developed, laminar flow of a power-law fluid in a tube, the velocity profile is n+1- [1-(-)] a) Derive the governing equation for the forced convection heat transfer in a circular tube. b) State your assumptions and reduce the governing equation in terms of bulk temperature of fluid. given by v₂ = : (vz) 3n+1 n+1 c) Calculate Nusselt number (Nu) for large z, assuming a constant heat flux at the wall. d) Verify your result for n = 1, the Newtonian case.

2. For fully developed, laminar flow of a power-law fluid in a tube, the velocity profile is n+1- [1-(-)] a) Derive the governing equation for the forced convection heat transfer in a circular tube. b) State your assumptions and reduce the governing equation in terms of bulk temperature of fluid. given by v₂ = : (vz) 3n+1 n+1 c) Calculate Nusselt number (Nu) for large z, assuming a constant heat flux at the wall. d) Verify your result for n = 1, the Newtonian case.

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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2. For fully developed, laminar flow of a power-law fluid in a tube, the velocity profile is n+1 n given by V₂ = (v₂) |1 - (7) a) Derive the governing equation for the forced convection heat transfer in a circular tube. 3n+1 n+1 b) State your assumptions and reduce the governing equation in terms of bulk temperature of fluid. c) Calculate Nusselt number (Nu) for large z, assuming a constant heat flux at the wall. d) Verify your result for n = 1, the Newtonian case.
Transcribed Image Text:2. For fully developed, laminar flow of a power-law fluid in a tube, the velocity profile is n+1 n given by V₂ = (v₂) |1 - (7) a) Derive the governing equation for the forced convection heat transfer in a circular tube. 3n+1 n+1 b) State your assumptions and reduce the governing equation in terms of bulk temperature of fluid. c) Calculate Nusselt number (Nu) for large z, assuming a constant heat flux at the wall. d) Verify your result for n = 1, the Newtonian case.
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