odsysanie Płyta: X: ∂V∂t+Vx∂V∂x+Vy∂V∂y+Vz∂V∂z=X-1ρ*∂p∂x+νΔVx+ν3*∂∂x(divV) |Y: ∂V∂t+Vx∂V∂x+Vy∂V∂y+Vz∂V∂z=Y-1ρ*∂p∂y+νΔVy+ν3*∂∂y(divV)| Vx=u=uy;Vu=Vy;p=py| wektorV=iu+jv+kw | | torXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXz r. ciągłości, ∂Vx∂x+∂Vy∂y=0→Vy=Vo=const Vodudy=vd2ud2y;Vodudy=v∆u=v∂2u∂x2+∂2u∂y2+∂2u∂z2=v∂2u∂y2 Vodudy=vd2ud2y\:v|ddydudy=Vovdudy\ :dudy|ddydudydudy=Vov\*dy|oXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX d(dudy)dudy=Vovdy←dudy=Q| dQQ=Vovdy\| lnQ=Vovy+C1 Q=eVovy+C;y=ec;eVovy=C1eVovydudy=C1eVovy→du=C1eVovydy\|u=C1vVo*eVov+C2 | war. brzeg. uy=0=0uy→∞=uu0=C1vVo+C2=0uy=C1v-Voe-Vovy+C2u∞=u=C2 |
układ równań: 1) u0: C1v-Vo+C2=0 ;2) u∞:u=C2| C1=C2|Vo|v=u|Vo|v| uy=-uVovvVoe-Vovy+u=u1-e-Vovynapr. styczne: τ=u∂u∂y=ρu∂u∂y=-ρvVove-Vov=-ρu|Vo|
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