9. A solid metal sphere at temperature To is placed in oil kept at temperature T, < To. The radius of the sphere is 1.0, and the temperature u(r,t) is determined by a2 (ru) = ди ди Ti — и(1,t) at' 2 r=1 where 0 0, and u(r,0) = To. Use the same separation technique

9. A solid metal sphere at temperature To is placed in oil kept at temperature T, < To. The radius of the sphere is 1.0, and the temperature u(r,t) is determined by a2 (ru) = ди ди Ti — и(1,t) at' 2 r=1 where 0 0, and u(r,0) = To. Use the same separation technique

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter8: Natural Convection

Section: Chapter Questions

Problem 8.26P

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Question

9. A solid metal sphere at temperature To is placed in oil kept at temperature T;
< To. The radius of the sphere is 1.0, and the temperature u(r,t) is
determined by
a2
ди
du
Ti — и(1,t)
Orz (ru) =
at'
arlr=1
where 0 <r<1, t> 0, and u(r,0) = To. Use the same separation technique

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