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申論題資訊

試卷:110年 - 110 國立清華大學碩士班考試入學試題_化學工程學系:輸送現象及單元操作#104976
科目:清大◆化工◆輸送現象及單元操作
年份:110年
排序:0

題組內容

Problem 3 
A sphere of radius R and thermal conductivity ky is embedded in an infinite solid of
thermal conductivity ko. The center of the sphere is located at the origin of coordinates
and there is a constant temperature gradient A in the positive z direction far from the
sphere. The temperature at the center of the sphere is 61bfdae2b8efd.jpg.
The steady-state temperature distribution in the sphere T1 and in the surounding
medium T0 have been shown to be:
61bfdacba14cb.jpg61bfdb1f2b95b.jpg

申論題內容

(c) Show that Ti and To satisfy their respective partial differential equations in (a).