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銆€銆€(1) )

銆€銆€N A = K y ( y ? y* )

銆€銆€ya y h0

銆€銆€xa x h dh

銆€銆€G yb dy = H OG N OG h0 = ∫ ya * K ya (y ? y )

銆€銆€(2) )

銆€銆€N A = K x ( x* ? x)

銆€銆€h0 = L xb d x = H OL NOL ∫ xa * K x a ( x ? x)

銆€銆€y+dyx+dx

銆€銆€(3) )

銆€銆€N A = k y ( y ? yi )

銆€銆€h0 = G y b dy = H G NG ∫ ya kya ( y ? yi )

銆€銆€y

銆€銆€xb

銆€銆€(4) )

銆€銆€N A = k x ( xi ? x) L xb d x h0 = = HL NL ∫ xa k x a ( xi ? x )

銆€銆€b 閫氶亷濉枡灞ゅ井鍏� 楂樺害鐨勬績搴﹁畩鍖�

銆€銆€鍌宠唱(zh矛)鍠厓鏁�(sh霉)鐨勭⒑瀹� 1銆佸钩琛＄窔鐐虹洿绶� 銆� (1) 骞冲潎鎺ㄥ嫊鍔涙硶 ) 浠� 鈻� y = y - y*

銆€銆€B

銆€銆€xb

銆€銆€yb

銆€銆€E

銆€銆€d(?y ) = 甯告暩(sh霉) dy

銆€銆€y

銆€銆€P

銆€銆€x

銆€銆€y

銆€銆€d(?y ) ?yb ? ?ya = dy y b ? ya

銆€銆€dy = ?yb ? ?ya d(?y) yb ? ya

銆€銆€* b

銆€銆€R B'

銆€銆€A ?xa ?ya

銆€銆€Q

銆€銆€yb = yb ? y

銆€銆€0

銆€銆€A'

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銆€銆€x

銆€銆€鎿嶄綔绶氬拰骞宠　绶氱殕鐐� 鐩寸窔鏅傜殑绺芥帹鍕曞姏

銆€銆€* ?y a = y a ? y a

銆€銆€鍖栧伐鑸囨潗鏂欏伐绋嬪闄epartment of Chemical and Materials Engineering

銆€銆€∴ N OG = ∫

銆€銆€yb ya

銆€銆€yb ? ya ?yb d?y dy = ∫ ?ya * ?y y? y ?yb ? ?ya

銆€銆€y b ? ?y a ?y a

銆€銆€∴ N OG = y b ? ya ln ?y b

銆€銆€ym = ?yb ? ?ya ?yb ln ?ya

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銆€銆€浠�

銆€銆€N OG

銆€銆€y b ? ya = ?ym

銆€銆€G y b ? ya = ( ) K y a ?ym

銆€銆€h0 = H OG N OG

銆€銆€鍚岀悊: 鍚岀悊:

銆€銆€N OL

銆€銆€dx x b ? xa =∫ * = x ?x ?x m

銆€銆€xb xa

銆€銆€h0 = H OL N OL

銆€銆€L xb ? xa = ( ) K x a ?x m

銆€銆€(9-53) )

銆€銆€寮忎腑

銆€銆€xb ? ?xa ?xm = ?x ln b ?xa

銆€銆€* ?xb = xb ? xb

銆€銆€* ? xa = xa ? xa

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