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Presentacia 12

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Presentacia 12

:1. 1.1. 1.2. 1.3. 2. 2.1. 2.2. 2.3. 3. 3.1. 3.2. 3.3. 3.4. 4. 4.1. 4.2. 4.3. , , .


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. , . , . - .


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1.1. , . . 5 10, - 2 3. . .


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1.2. , , , , , . , . - - . . , . . ().


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. , ( Re). ( ) . . . , , , .


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, . , , . , .


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1.3. , , 4 . . - , . , . , , .


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. , . . .


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, . , , . , .


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. .


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2. . . .2.1. . w D :


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D (d2c/dz2) w(dc/dz) = 0;z = 0, w(co c) = - D (dc/dz); [2.1]z = L, (dc/dz) = 0 . [2.1] w r , D . () w(r) () () D :D 1 . {r c } + D 2c w(r) c= 0;r r { r } z2 zz = 0, w(co c) = -D c ; [2.2] zz = L, c= 0; zr = 0, c= 0; r = ro , c= 0 , r r


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r = ro , r = 0 ( w(r) ) . [2.1] [2.2] , , D = D , , D D , .


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2.2. . () , R(c), , :D (d2c/dz2) w(dc/dz) R(c) = 0;z = 0, w(co c) = - D (dc/dz); [2.3]z = L, (dc/dz) = 0 .

w(r), R(c) [2.2] .


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2.3. [2.3], c = ci (i = 1,2), i (i = 1,2), 1 + 2 = 1. R(c) : R =k[c1 mc2] , [2.4] k , m ( , ). :


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iDi 1 . {r ci } + iDi 2ci iwi (r) ci (-1)i-1.k[c1 m.c2] = 0 , i = 1,2;r r{ r } z2 zz = 0, w1(r) (c10 c1) = -D1 c1 , c2 = 0; z zz = L, w2(r) (c20 c2) = -D2 c2 , c1 = 0; [2.5]z zr = 0, ci = 0 , i = 1,2; z r = ro , ci = 0 , i = 1,2.z


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3. . , , . , , ( ). , , . . , , (), .


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3.1. . , . :1. , .. .2. ( ), .. .


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( ) . , , ( , . .). , . .


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3.2. , ( ) . , [2.2] , w(r). c/z, - D 2c/z2 D 1 . {r c } .r r{ r }


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, L (L da H), da , H . D : D = DT +DHP , [3.1] DT , DHP .


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w(r) , , .. :D = DT +DPP , [3.2] DPP .


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3.3. [2.2] ( ). , :c+ (w ) c = D 2c + D 2c , [3.3] t z z2 r2 r , r = 0 r = d :r = 0, c= 0; r = d, c= 0. [3.4] r r


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[3.3] r 0 d : = {DHC (z, t) } , [3.5] t z z d = 1c.dr , [3.6]d 0 DHC (z, t) DHC (z, t) = DII + DPH (z, t) .


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[3.7] DPH (z, t) , . DHC (z, t) : DHC (z, t) = DT + DHP + DPH (z, t) [3.8] , . DHC .


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[3.5] , DPH () :

DPH =fow2da2/ D , [3.9]

da , w= w1 - w0 (w1 , w0 ), fo , . :

DHC = DII+ fow2da2/ D . [3.10]


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( ) ( , ) ( , ):DII = kII LII w. [3.11] k = 0,5 , LII (), w . [3.11] , - .


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() :D= kLw . [3.12] DHC = kII LII w + fow2da2/ kLw . [3.13] [3.13] , DHC w , .. (w), (DHC) :/w= w da fo / kII LIIkL .[3.14]


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3.4. da , [3.13] :DHC= kII LIIw [3.15] D :D = DHC DHC = kII [LII LII]w + fo w2 da2 / k L w . [3.16] [3.16], :


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1. w, ( , ), .. LII = LII .2. (LII>LII), () (D) , w ( - ), .. D [3.16].


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, d (LII=LII = d) : D = fow2da2/ k L w , [3.17] .. .


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, , : D = kII [LII LII] w , [3.18] (da) (LII) . [3.16].


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4.


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4.1. , , :1. , , , .2. , , . 3. , , . 4. , , . , .


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4.2. , . :


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1. (w) , , .2. (D) , , .3. (w), .. (DHC ) .4. ( w ), (LII) .5. , (LII), .


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6. .7. .8. .9. .10. -.


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4.3. , , , . - . . .


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