流体运动方程及规律PPT学习教案

1、会计学1流体运动方程流体运动方程(fngchng)及规律及规律第一页，共28页。2, , ,xyzdrdxdydzV x y z tdtdtvvv00 xyzxyzijkdxdydzVdrvvvvvvdxdydzVV第1页/共28页第二页，共28页。3,uxt vyt 1211ttdxuxtxc etdtdyvytyc etdt 1201201cxtxycyt lndxdyxtytcxtyt 1001xtytctxylndxxdxdydtxycdyxyydt 01cxy第2页/共28页第三页，共28页。4AVtBVtCVtDVtZXYAA/BB/DD/CC/,yxxyVVVx Vxxx,yxx

2、yVVVy Vyyy,xyV V1xxxxVVxtVtVxtxx yxzyxzVVVxx tyy tzz tx y zvxyzvvVx y z txyz A/B/C/D/BCDxxxxVVVytVty tyy xtt=x txxyyyyVVVV 11 11222xyyxVVy tx tVVyxttxyxy111,222xyyzyyxzxxzzyxzyzxVVVVVVxyxzyz第3页/共28页第四页，共28页。5001245112229012yxzyzxxzyVVtxyVVyzVVzx11220 xyzijkVxyzVVV, , ,AooVVVVxdx ydy zdz tVx y z tdxd

3、ydzVdrVxyzVDSA111()()0(22211()()2211()()22yyxxxzyxzyyyyxxzzyyxxzzzzvvvvvvVVVxxyxzxxxxVvvvVvVvyyyyxyyzVvVvVvvvzzzzxzyz1)()211()0()2211()()022000 xxzyyxzyxzzxxxyxzzyyxyyyzzxyxzxzyzzvvvyxzvvvvyxyzvvvvzxzy AOVVVdrdr S ZXYOArdrOAAOrVVV第4页/共28页第五页，共28页。6,0,0uc vw0 0 00 0 00 0 0 ,0 0 00 0 00 0 0SA,0,0ucy v

4、w02 002 0200 ,200000000ccScAc ,0ucy vcx w000 0 00 0 ,0 0 00 0 00 0 0cScA,0,0ucx vw0 00 0 00 0 0 ,0 0 00 0 00 0 0cSA第5页/共28页第六页，共28页。7,0ucy vcx w 0 0 0000 0 0 ,0 00 0 00 0 0cSAc2222,0cycxuvwxyxy 2222222222222222200 0 020 ,0 0 00 0 0000c yxcxyxyxyc yxcxySAxyxy 0,0rzvvcr v0,0rzcvvvr第6页/共28页第七页，共28页。800

5、0AAdV ndAtDddV ndADttVdt 00AV ndAt0Vt0V0V0DDt0yxzvvvtxyz0DVVVVDt 第7页/共28页第八页，共28页。91230AAAAdV ndAdV ndAtt1A2A3A1V2VL/1n2n1n2121nnAAnnmV dAV dAmV AV Aconst1230AAAV ndA0tmVAconstGAVconst0ddAdVAV, ,V pT0V n第8页/共28页第九页，共28页。102121mrvvR122112222012RmArv dAv AvrdrvRR 222222mmRvvRvv1110dv At t111v Addt 第9页

6、/共28页第十页，共28页。11/viscousviscousAADVdRdpndARp dDtVVdV V n dAVVdttDVdDtDVdDt viscousVVVRpt DVpRDt111xxxxxxyzxyyyyyxyzyzzzzzxyzzvvvvDvpvvvRtxyzDtxvvvvDvpvvvRtxyzDtyvvvvDvpvvvRtxyzDtzviscousviscousDVVRpVVRpDtt maF第10页/共28页第十一页，共28页。12outinnAAAAV V n dAVV dAVdmVdm AoutinV V n dAmVmV 21212121xxyyAzzmVmVV

7、V n dAm VVmVmVmVmV RRdFeeFF11neAAVdVV dARdpndAFt 212112eeinoutm VVpApAFm VVppAF 2112m VVppAmVpAconst/viscousAAVdV V n dARdpndAt 第11页/共28页第十二页，共28页。131A2A3A1V2V1n2nbc/viscousAAVdV V n dARdpndAt 0t121212211122/0AAAAviscous AAVdmm VVpndAp Ap A 211122em VVp Ap AF 4A3434/eviscous AAAAFpndA121212/eviscous

8、 AAAAAAV dmVdmRdmpndAFt 0m 第12页/共28页第十三页，共28页。14440 xyzvxvyv 111611616111611xxxxxxyzxyyyyyxyzyzzzzzxyzzvvvvDvppvvvRxtxyzDtxxgdzdpxdxydvvvvDvppvvvRytxyzDtyyvvvvDvppvvvRgtxyzDtzy 2288ypgzxyc 211122121122222coscossinsineexeym VVp Ap AFFm VVp Ap AFmVp A 第13页/共28页第十四页，共28页。15VVV1dy2dy2c111neAAenAxVdVV dA

9、RdpndAFtFVV dA 122212200022accenAxFVV dAVV dyVVdyVVVdy 21 0.83cosyVVc12V dyVdy0.10.122202022240.83cos1 0.83cos0.0631122bbexxFVVVdyyycdybccV bV b第14页/共28页第十五页，共28页。16 12111221111cos1 cossineexeymA VVm VVp Ap AFFmVVVVm VVFm VV VeV/221 111221212eeeaaeeeoexeeaem VmVp Ap AFFmVm Vp ApAAp AmVm VApp 21111ff

10、mmmmmm1eeeaexFm VVApp1eexFm VV第15页/共28页第十六页，共28页。1722VVVVV 22022VVVVVVUPgzPVVtt VVV=tDVppRRDt22VVpVVRt RgkgzgkUgzRU pP202VVgzPtdrVV drdrd 2222VVgzPdrdgzP 22022VdpVddgzPgzC ttt第16页/共28页第十七页，共28页。18202VgzPVV dr22022VVVVVdrVVgzPdrdgzP 22022VdgzPVdpgzconst21-1211212121112111111kkpkpppppppdpkkkconstRTkkp

11、kp-12222211222121121121212121kkVpVpVVpkkVkkRTconstRTkkkkp或22221102lnlnln22VVppCdpVPCpCpconstRTpp00DdppVconstPDtt22221122122222pVpVpVpVgzconstconst或第17页/共28页第十八页，共28页。19DEQWDtdtdt22/22AviscousRADEDVDVududDtDtDtR VdWpn VdApV ddtWqdQdtT ndAT d 2/222RviscousRviscousDVudqTR VpVdWDtpVTDVuqR VWDt vuc TpRT第

12、18页/共28页第十九页，共28页。201A2A3A1V2V1n2ncd2222ADEVVuduV ndADtt0AAR VUVURUR VU VUVUVtUVVUttttUdU V ndAUtR VdUVdtgzdgz V ndAt Ugz 1212AAAsAAAppn V dAn V dAppn V dAn V dA WsW第19页/共28页第二十页，共28页。2112121222/22222222Asviscous AAAAAsAAVVuduV ndAtpQU V ndAUdn V dA WWtVVpuUduUV n dAQWtVugzt1222sAAVpdugzV n dAQW1212

13、22sAAAAVpudmh dmQW1222220221212ppAAVVkRVkpVh dmhc Thc TTconstkk2221212122sVVhhhhqw第20页/共28页第二十一页，共28页。221110pTv 222pTv1212222222212221222222222222sAAsppAAppsVVudhV n dAQWtVVQWhdmhdmm c Tc TVQm c Tc TWRTv Amvmp A 1212222212212222sAAspAAVVudhV n dAQWtVVWhdmhdmmcTT 第21页/共28页第二十二页，共28页。2300VtDVDt00yxyxv

14、vxyvvxyxyxyv dyv dxddxdyxyv dyv dxxyvyvx 0,0,00,yyxxzzxyzxyzvvijkvvvvyzzxxyVxyzVvvvxyzvvv 2222210200,yxzxyvvxyxyvvyx 即2222222000,yxzxyzvvvxyzxyzvvvxyz即第22页/共28页第二十三页，共28页。2400yxxyxyCCxyvvdydydv dyv dxdv dxv dydxvdxv 0ddxdydzdRdR VdRVxyz 00yxyxyxvvv dxv dyddxdyv dxv dyconstdxdyxy XYOnVABdsABdsdyn1122

15、dx1,2,n yn x cos( , )cos( , )xyxydmV ndsvn xvn ydsv dyvdxdxdydxyBBAAmdZXYVlVcos,cos,cos,cos,cos,cos,cos,cos,cos,lllxyzlxyznl x il y jl z kVV nvl xvl yvl zVldxdydzvl xvl yvl zlx dly dlz dl第23页/共28页第二十四页，共28页。250V 0 xyzdxdydzdrAJndA3n2n1n/2nA1A2A31230AAAJndAd330nn 121212/1212/120AAAAAAn dAn dAn dAn dA

16、n dAn dAconst第24页/共28页第二十五页，共28页。26V ds +LAAV dsV dAndAJ 00VV 314rVdr30lim4AldAdldlrddlVAr AAndAnndAA 122121sinsin,coscossinsin40,2zrVd edlrrdledldlehrhrredlrehVeh2Vh第25页/共28页第二十六页，共28页。27dpdPpPddr =xyzUUUdxdydz dUR dxR dyR dzxyz=,=,=yxzyxzyyxxzzRRRRRRRU ,ppTfpdpPDVpRDtdrd drdrtdtV tVdVtdr2222LLLLABABDDDVDV drdrVdrDtDtDt