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A cylindrical rod OF metal w워h a diameter made oF heat conduCtion cOEFFedent 330 5 mm wlmoc Between them 37 mm Between the tWo metal plates loca ted in this d?stan ce located as Flap. Air Tempara ture oround the Fin It Ys 12°C nd the Heat tranSFer coeFFicient is 45 wim? oc plate Tempara ture TB = 100 °C the left end End on OF the Bar, on the right plate temparature is TL = 50°C A) giving the temparature dkstriBution across the e = C emx+ cemx expression Find the values. Bar nd coefficients the B) calculate the Heat thrown over the Bar cl in the position where the lenght Of 114 OFF Bar is passed From +he left Enod Of the the calculate the value Bar, e = 2.7 It = 3.14 15 %3|

A cylindrical rod OF metal w워h a diameter made oF heat conduCtion cOEFFedent 330 5 mm wlmoc Between them 37 mm Between the tWo metal plates loca ted in this d?stan ce located as Flap. Air Tempara ture oround the Fin It Ys 12°C nd the Heat tranSFer coeFFicient is 45 wim? oc plate Tempara ture TB = 100 °C the left end End on OF the Bar, on the right plate temparature is TL = 50°C A) giving the temparature dkstriBution across the e = C emx+ cemx expression Find the values. Bar nd coefficients the B) calculate the Heat thrown over the Bar cl in the position where the lenght Of 114 OFF Bar is passed From +he left Enod Of the the calculate the value Bar, e = 2.7 It = 3.14 15 %3|

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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A cylindrical rod OF metal w워h a diameter made oF heat conduCtion cOEFFedent 330 5 mm wlmoc Between them 37 mm Between the tWo metal plates loca ted in this d?stan ce located as Flap. Air Tempara ture oround the Fin It Ys 12°C nd the Heat tranSFer coeFFicient is 45 wim? oc plate Tempara ture TB = 100 °C the left end End on OF the Bar, on the right plate temparature is TL = 50°C A) giving the temparature dkstriBution across the e = C emx+ cemx expression Find the values. Bar nd coefficients the B) calculate the Heat thrown over the Bar cl in the position where the lenght Of 114 OFF Bar is passed From +he left Enod Of the the calculate the value Bar, e = 2.7 It = 3.14 15 %3|
Transcribed Image Text:A cylindrical rod OF metal w워h a diameter made oF heat conduCtion cOEFFedent 330 5 mm wlmoc Between them 37 mm Between the tWo metal plates loca ted in this d?stan ce located as Flap. Air Tempara ture oround the Fin It Ys 12°C nd the Heat tranSFer coeFFicient is 45 wim? oc plate Tempara ture TB = 100 °C the left end End on OF the Bar, on the right plate temparature is TL = 50°C A) giving the temparature dkstriBution across the e = C emx+ cemx expression Find the values. Bar nd coefficients the B) calculate the Heat thrown over the Bar cl in the position where the lenght Of 114 OFF Bar is passed From +he left Enod Of the the calculate the value Bar, e = 2.7 It = 3.14 15 %3|
Expert Solution
Step 1

Given:

The diameter of the metal rod, d = 5 mm

Length of the metal rod, L = 37 mm

The conductivity of the rod, k = 330 W/m-°C

The air temperature around the fin, T0 = 12°C

Heat transfer coefficient, h0 = 45 W/m2-°C

Right-end plate temperature, Tb = 100°C

Left-end plate temperature, TL = 50°C

Step 2

The schematic diagram of the given system is shown below as:

Chemical Engineering homework question answer, step 2, image 1

Step 3

(a)

 

For a fin, the equation for general heat transfer is:

Chemical Engineering homework question answer, step 3, image 1

Double integrate equation (1) and get its solution as:

Chemical Engineering homework question answer, step 3, image 2

Step 4

Calculate the value of m as:

Chemical Engineering homework question answer, step 4, image 1

Boundary conditions for equation (2) are:

Chemical Engineering homework question answer, step 4, image 2

Step 5

Apply boundary condition (i) in equation (2) as:

Chemical Engineering homework question answer, step 5, image 1

 

Apply boundary condition (ii) in equation (2) as:

Chemical Engineering homework question answer, step 5, image 2

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