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 3.39 The diagram shows a conical section fabricatedfrom pure aluminum. It is of circular cross sectionhaving diameter D = ax2, where a = 0.5 m2. Thesmall end is located at x1at x2 = 125 mm. The end temperatures are T =600 K and T, = 400 K, while the lateral surface is1/225 mm and the large endwell insulated.T2T1(a) Derive an expression for the temperature distributionT(x) in symbolic form, assuming one-dimensionalconditions. Sketch the temperature distribution.(b) Calculate the heat rate q,.

Consider an object of a tehrmal conductivity 236 w/m-k.The cross-section having a radius r = ax1/2,…

Answered: (a) Derive an expression for the…

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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The diagram (below) illustrates an object of a thermal conductivity 236W/m.K. The circular cross section having a radious r = ax^1/2 , 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 (q_x) in kW

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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