1、1 8 Advanced Fluid Mechanics2-Ba1 8 7 M S # S$ S vs 8 L 8 9 8 3- S#?Z - M 8 3 8 d d 8 Q 8 ?8 8 H 8 V Y$%+ y14-=a8“ 8 iV T v? p o p p p L=5 # H ?Z_5- I B 8 /vfx 8 bv;BDSPX )PGGNBO(BTEZOBNJDT 7PM 6 q1f B V = V B V T 8 $u $ M7f $ MB f lUSM= f f f s = f B X 8 eZf V UE8- f f #f 9 B sbf s 8 M1“f V UE e ZL
2、 T 8 b OBK ?C Q332211xaxaxaxasiiijiji+=111112213311,j jisaxaxaxax= =+=jjxaxaxaxasi23232221212,2 =+=15B f lUSM1ScSBV bSsY |V T0bS1S B V bi uY3132121111xaxaxaxaijij+=3312211111xaxaxaxajiij+=1331221111xaxaxaxajjii+=16B f lUSM US“MUSM T“321xxox321, eeerrrP1x3x1er1er2x2x3x321xxxo321, eeerrriieaeaeaeaarrr
3、rr=+=332211iieaeaeaeaarrrrr=+=33221117B f lUSMF O W1“jjeeeeerrrrr13132121111 =+=jjeeeeerrrrr23232221212 =+=jjeeeeerrrrr33332321313 =+=( )( )jijiijjijieeeeeerrrrrr,cos.=( )( )jijiijjijieeeeee=rrrrrr,cos.18B f lUSMUS“MUSMlf S USM H M lBS b O “ “),(),(321321xxxpxxxp() ( )pp = ),(),(3213,21xxxxxx= ar321
4、aaa321aaa19B f lUSM).(.31321211133221111eeeeaeaeaeaairrrrrrrr +=133122111 aaa +=jjaa11=jjaa22=jjaa33=jijiaa =jijiaa= s a1, a2, a3lB O 20B f lUSM=f TUS“s lB 5Ns l =f bE=333231232221131211Pp pppppp ppppijijlmjmilijpp =lmp21B f lUSMOf 5 Of b ,f s bn3niiia21nnnjjjnjijia2111.43421“ =njjja2122= f =f f f T
5、 O f V UE23= f =f ,SPOFDLFS : |J=j JK f Q SM SMij3=iijiij =jijiaa =011ijk=ij=001ij0101001312231123= 1213321132= 24= f f T TB f b1=)(,0)(,1kikjiikjkij23=ijij=000ijkij34566=ijkijkilljkijk 2=,kjlkji=2,33,21,kjkjlilikmkljmjl=kljmkmjlilmijk = 25= f O f V UEiaa =r)(332211321rxexexexxxxri=+=rrrr= + = = r K
6、 KKKSSYYYYYYY26332211. bababababaii+=rr1FBCDBC=rrrr222baer333baer227= f ),(, mkjiekr=jieerr),(, P mQkjiekr),(,0 Ljikijkjieeerrr=kkjjiieccebeabarrrrrr=kjiijkjijiebaeebabarrrrr= )(jiijkba=kc28 03ixxexexe=+=332211rrr29 S 0 O O iixaaadiv=rrixgrad=jkijkxaaarot= rr30= f -BQMBDF 0 S =22iiixxx1ijkijkikjijkkjijkixabxbabaxbadiv+= )()(rrbrotaarotbxabxbaijkijkikjikjrrrr=+=
