(a) Derive an expression for the temperature distribution T(x) in symbolic form, assuming one-dimensional conditions. Sketch the temperature distribution. (b) Calculate the heat rate q,r:
(a) Derive an expression for the temperature distribution T(x) in symbolic form, assuming one-dimensional conditions. Sketch the temperature distribution. (b) Calculate the heat rate q,r:
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
Related questions
Question
The diagram (below) illustrates an object of a thermal conductivity 236W/m.K. The circular cross section having a radious r = ax1/2 , where a = 0.4. The small end is located at x1= 24mm and the larger end at x2= 124 mm. End temperatures are T1= 600K and T2= 400K (as shown in figure), while lateral surface will be insulated.
- Please find the temperature distribution equation (in terms of temperature (T) and distance (x))
- Calculate conduction heat rate (qx) in kW

Transcribed Image Text:3.39 The diagram shows a conical section fabricated
from pure aluminum. It is of circular cross section
having diameter D = ax2, where a = 0.5 m2. The
small end is located at x1
at x2 = 125 mm. The end temperatures are T =
600 K and T, = 400 K, while the lateral surface is
1/2
25 mm and the large end
well insulated.
T2
T1
(a) Derive an expression for the temperature distribution
T(x) in symbolic form, assuming one-dimensional
conditions. Sketch the temperature distribution.
(b) Calculate the heat rate q,.
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