Answered: A cylindrical reactor made of copper…

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

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Question

A cylindrical reactor made of copper with a radius of a= r=5mm has a heat conduction coefficient of k=386 W/moC, and there is heat generation at e ̇= (q ) ̇= 4x10^8 W/m3 inside this reactor. The cylindrical reactor convection heat transfer coefficient is h=2000 W/m0C and 〖T_(ambient= ) T〗_∞= 30 ^oC by convection, it cools down from the reactor surface to the center. According to the given boundary conditions

a)Find the reactor surface temperature and the temperature T(a) at r=a. (VARIABLES: r=1-10mm, T_∞= 0-100oC)

b) q(a) =((q ) ̇ * a )/ 2 = (e ̇ * a )/ 2 then find the heat flux amount in kW/m2

2h
A= 2[T(rr]
At
Q= (y'A, h 0.)(N)
Akanat yok = 2nr;he,
0, = To - T
A,=Af + Akanatsız
Akanatsız = T .aralık = n.S
A= 2ari
Rcony =1/1 nh
Ts1- T
Rcond +Rcony
In (5,/5)
Rcond
%3D

r=a=5 mm k= 386 W.
taşınım
sil.reaktör
r=a
é=年4x10.
To= 30%
h=2000
r=0

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