= 1-D heat transfer.

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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1) (40%) A thin heater has uniform heat generation q and is well-insulated on one surface. The
other surface is in contact with glass. The glass has no heat generation and its outer surface is
cooled by convection to air with temperature T. and heat transfer coefficient h. The heater and
glass have thermal conductivities kh and kg and thicknesses L and Lg. Lateral dimensions are
large enough to assume 1-D heat transfer.
a) Find the ordinary differential equations and boundary conditions to describe the steady state
temperature profiles in the heater and in the glass. Do not solve (but be sure that your choice of
boundary conditions would give a unique solution).
b) Sketch the shape of the temperature profile for the heater-glass-air system.
Transcribed Image Text:1) (40%) A thin heater has uniform heat generation q and is well-insulated on one surface. The other surface is in contact with glass. The glass has no heat generation and its outer surface is cooled by convection to air with temperature T. and heat transfer coefficient h. The heater and glass have thermal conductivities kh and kg and thicknesses L and Lg. Lateral dimensions are large enough to assume 1-D heat transfer. a) Find the ordinary differential equations and boundary conditions to describe the steady state temperature profiles in the heater and in the glass. Do not solve (but be sure that your choice of boundary conditions would give a unique solution). b) Sketch the shape of the temperature profile for the heater-glass-air system.
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