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4.2.ÅËÞ´-½Ä°¸½•û’öŽ®
Ú²Éٽސ”‚ÍÅËÞ´-½Ä°¸½•û’öŽ®(”ñˆ³k«‚ÅŠO—Í‚È‚µ)‚𖳎ŸŒ³Œ`‚É•ÏŒ`‚·‚邱‚ƂŤ•û’öŽ®‚ðŽx”z‚·‚é—Bˆê‚ÌÊß×Ò°À‚Æ‚µ‚Ä“¾‚邱‚Æ‚ª‚Å‚«‚é¡
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\rho \left(\frac{\partial \mathbf{v}}{\partial t} + \mathbf{v} \cdot \nabla \mathbf{v}\right) = -\nabla p + \mu \nabla^2 \mathbf{v}



ãŽ®’†‚ÌŠe€‚ͤ‘̐ϗÍ(’PˆÊ‘̐ϓ–‚½‚è‚̗ͤN/m3)¤‚à‚µ‚­‚Í“¯“™‚È•\Œ»‚Æ‚µ‚Ĥ‰Á‘¬“x‚Æ–§“x‚̐Ï(m2/s~kg/m3)‚Ì’PˆÊ‚ðŽ‚Á‚Ä‚¢‚é¡ •¨—“I»²½Þ‚É’¼Ú“I‚É‚æ‚ç‚È‚¢Œ`‚ÌŽ®‚𓾂邽‚ߤ•û’öŽ®‚𖳎ŸŒ³‰»‚·‚é¡
–³ŽŸŒ³Ž®‚𓾂é‚ЂƂ‚̕û–@‚Æ‚µ‚ÄŽŸ‚ÌŒW”‚ðŽ®‘S‘Ì‚ÉŠ|‚¯‚é•û–@‚ª‚ ‚é:
@
 \frac{D}{\rho V^2}


 V \,
@:@•½‹Ï‘¬“x ‚Ü‚½‚Í —¬‘Ì‚Æ‚Ì‘Š‘Α¬“x@(m/s)
 D \,
@:@“Á«’·‚³@(m)
 \rho \,
@:@—¬‘Ì–§“x@(kg/m?)
‚±‚±‚ÅŽŸ‚̂悤‚ÉŠe•¨——ʂ𖳎ŸŒ³‰»‚·‚é: @
 \mathbf{v'} = \frac{\mathbf{v}}{V},\quad  p' = \frac{p}{\rho V^2}, \quad  \frac{\partial}{\partial t'} = \frac{D}{V} \frac{\partial}{\partial t}, \quad  \nabla' = D \nabla


‚·‚é‚ÆÅËÞ´-½Ä°¸½•û’öŽ®‚ðŽŸ‚Ì–³ŽŸŒ³‰»‚³‚ꂽ•û’öŽ®‚ɏ‘‚«’¼‚·‚±‚Æ‚ª‚Å‚«‚é¡ @
\frac{\partial \mathbf{v'}}{\partial t'} + \mathbf{v'} \cdot \nabla' \mathbf{v'} = -\nabla' p' + \frac{\mu}{\rho D V} \nabla'^2 \mathbf{v'}


‚±‚ÌŽ®‚É‚ÍÊß×Ò°À‚ª‰E•Ó‘æ2€‚É‚µ‚©Œ»‚ê‚Ä‚¢‚È‚¢¡‚±‚ÌÊß×Ò°À‚ðŽŸ‚Ì‚æ‚¤‚ɏ‘‚«Š·‚¦¤Ú²Éٽސ”‚Æ’è‹`‚·‚é: @
Re = \frac{\rho D V}{\mu}


ÅI“I‚ÉŽ®‚ð“Ç‚Ý‚â‚·‚­‚·‚邽‚ß‚ÉÌßײыL†‚ðÈ—ª‚µ‚ď‘‚«’¼‚·‚ÆŽŸ‚̂悤‚É‚È‚é¡ @
\frac{\partial \mathbf{v}}{\partial t} + \mathbf{v} \cdot \nabla \mathbf{v} = -\nabla p + \frac{1}{Re} \nabla^2 \mathbf{v}


‚±‚ÌŽ®‚ÍÊß×Ò°À‚Æ‚µ‚ÄÚ²Éٽސ”Re ‚µ‚©Ž‚½‚È‚¢¡‚µ‚½‚ª‚Á‚Ä“¯‚¶Ú²Éٽސ”‚ðŽ‚¿¤‚©‚‹«ŠEðŒ‚à‘ŠŽ—Œ`‚Å‚ ‚é—¬‚ê‚͐”Šw“I‚É‘S‚Ä“¯“™‚Å‚ ‚é¡
ã‹L‚ÌŽ®‚ÅRe → ∞‚Ì‚Æ‚«¤”S«€‚ªÁ‚¦‚é¡‚µ‚½‚ª‚Á‚Ĥ‚Ú²Éٽސ”—¬‚ê‚Í‚¨‚æ‚»”ñ”S«‚ÌŽ©—R—¬‚ê‚Æ“¯‚¶‚Æ‚È‚é¡
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