Question

Consider a hollow metallic sphere of inner radius R. and outer radius R. In the metallic part of the sphere heat is produced at a constant volumetric flow rate of So. The temperature of the hollow surface is kept constant at T, and it can be assumed that there is almost no heat transfer through this surface. Obtain an expression for the temperature distribution in the metal and rate of heat loss to the surroundings.

Answer 1

Solution 1. Ro Energy Balance equation 0417 - Optor + Soov. Avsep dT dt olo - Olxtor + So . Arora Ar Arpeedo at Divid by Dr So Arth Dr Dr Droo Olt - 0910700 t Az Ar flp dT ling Dr dí go out so Ar = Ar Post - A ( 3 **7+ 30 9 cm I - KA DI] 4 so = Sep II ot ot Ar Ara 4tr2 2 R.4422d dT So = popote 4 Inne cele mai de Its { K r2 I It so = P. I ja ja ĽKY 14 At steady state et Pronost so be K2 ST 22 I So: 0 Sogn K 8083 +6, 12 ir 3 k

II. 97 3K Sort elle f. 22 To 일어요 362 Assume steady state, Hofeat qe neperty on from eghel ha 927211 120 dI da al T=-ente at r= Ro, T-To "NER, TT To- eta TS-+1 Torta ratka TOFT rtitel ů G = To-R / R TAR ar ri O: -RCA att 03 - K4TTAR 8.-K47 tort (The T-To o a ak the <
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