HEAT TRANSFER CASE:  I want to know what temperature in (°F) the cylinder will have inside. It's a heat transfer problem. what is T2 ? HEAT TRANSFER They gave me an answer all squashed together that i can't make sense of it. If you could help me makes sense of it thank you!

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question

HEAT TRANSFER

CASE:  I want to know what temperature in (°F) the cylinder will have inside. It's a heat transfer problem.

what is T2 ?

HEAT TRANSFER

They gave me an answer all squashed together that i can't make sense of it. If you could help me makes sense of it thank you!

Step 1
Given that,
Inner radius, ri=0.55 in,Outer radius, ro=0.7 in,Length, L=5.7 in,Thermal conductivity, k=15 W/m.K,
1 W/m.K=6.9334 Btu.in/h.ft2°F
Step 2
The conduction heat transfer from the steel cylinder will be equal to the convection heat transfer,
Qcond=Qconv2+kLlnroriT2-T1=h2kLT1-To2äkLlnroriT2-T1=h2¬LT1-
ToLet h of air = 18 Btu/h.ft2.°F,klnroriT2-T1=hT1-To6.9334×15ln0.700.55T2-75.2=1875.2-68431.25T2-
75.2=129.6T2=75.5 °F,T2=6.71+75.2T2=81.91 °F,
Transcribed Image Text:Step 1 Given that, Inner radius, ri=0.55 in,Outer radius, ro=0.7 in,Length, L=5.7 in,Thermal conductivity, k=15 W/m.K, 1 W/m.K=6.9334 Btu.in/h.ft2°F Step 2 The conduction heat transfer from the steel cylinder will be equal to the convection heat transfer, Qcond=Qconv2+kLlnroriT2-T1=h2kLT1-To2äkLlnroriT2-T1=h2¬LT1- ToLet h of air = 18 Btu/h.ft2.°F,klnroriT2-T1=hT1-To6.9334×15ln0.700.55T2-75.2=1875.2-68431.25T2- 75.2=129.6T2=75.5 °F,T2=6.71+75.2T2=81.91 °F,
MATERIAL DATA
Stainless steel
value of
conductivity: 15
w/mk
12
No
ri: 0.55 in
ro:0.7 in
lenght: 5.7 in
the temperature
touching the
T₁ cylinder outside is
75.2 Fº
Ambient
temeperature 68 Fº
Target heating time:
20 s
Transcribed Image Text:MATERIAL DATA Stainless steel value of conductivity: 15 w/mk 12 No ri: 0.55 in ro:0.7 in lenght: 5.7 in the temperature touching the T₁ cylinder outside is 75.2 Fº Ambient temeperature 68 Fº Target heating time: 20 s
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Convection
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY