Answered: At the end of the process, the algal…

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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Question

At the end of the process, the algal slurry (ρ = 1090 kg m^-3, μ = 0.0012 Pa s, k = 0.6 W m^-1 K^-1, Cp = 4181 J kg^-1K^-1) is transported to a processing plant for biodiesel extraction. The transportation is along a cylindrical pipe of length 5 m and diameter 15 mm with a pressure drop of 8 kPa. The slurry is being pumped through the tube at 5 m/s. During cold weather, there is a risk that the contents of the tube might freeze and disrupt transportation. To avoid this from happening, you need to add a heat source around the tube for which you need to know the heat transfer coefficient.

Using film theory, estimate the heat transfer coefficient
Using j-factor correlation, estimate the heat transfer coefficient
Explain which of these approaches (film theory or j-factor correlation) is the appropriate heat, mass and momentum transfer analogy for this scenario to estimate this heat transfer coefficient.

State any assumptions made.

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