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  Sonic Velocity °ü·Ã ¹®ÀÇ
  ±Û¾´ÀÌ : éÌÜó   °íÀ¯ID : yongbong     ³¯Â¥ : 17-02-06 10:42     Á¶È¸ : 3647    
¼ö°íÇϽʴϴÙ. (¾Æ·¡ ½ºÅ×ÆÄ³ë ´Ô ±Û¿¡ µû¶ó ÀϺΠ¼öÁ¤)
 
ÀϹÝÀûÀ¸·Î Sonic Velocity´Â ´ÙÀ½°ú °°ÀÌ Á¤Àǵ˴ϴÙ.
(¡ÓP/¡Ó¥ñ)^0.5 at constant entropy
 
¹Ý¸é ÀÌ»ó±âüÀÇ °æ¿ì´Â ´ÙÀ½°ú °°½À´Ï´Ù.
(k*¡ÓP/¡Ó¥ñ)^0.5 at constant temperature.

ÀÌ ½ÄÀº À§ÀÇ ÀϹݽĿ¡¼­ À¯µµµÈ´Ù°í Çϴµ¥, ÀÌ ºÎºÐÀÇ ¼³¸íÀ» Àß ¸ø ã°Ú½À´Ï´Ù.
Yunus A. CengelÀÌ ¾´ Fluid Mechanics Fundamentals and Applications¿¡´Â
"by using thermodynamic property relations"À» ÀÌ¿ëÇÏ¸é ¾ò¾îÁø´Ù´Âµ¥, ¾Æ½±°Ôµµ ÀÚ¼¼ÇÑ ¼³¸íÀº ¾ø´õ±º¿ä.
 
ÀÌ¿Í °ü·ÃÇÏ¿© µµ¿òÀ» ±¸ÇÕ´Ï´Ù.
 
R : Density
P : Pressure
k : Specific Heat Ratio
 
°¨»çÇÕ´Ï´Ù.

½ºÅ×Æijë Stefano   17-02-06 12:53
ºÐ¸ð ºÐÀÚ°¡ µÚ¹Ù²î¾ú½À´Ï´Ù. 

C = (¡ÓP/¡Ó¥ñ)^0.5 at Constant Entropy(No Friction or Energy Loss)....(1)

ÀÌ»ó ±âüÀÇ °æ¿ì  PV= (m/M) RT  À̹ǷΠ P/(m/V)= P/¥ñ = RT/M ......(2)
µû¶ó¼­

C = (¥ã * P/¥ñ)^0.5  =  (¥ã *RT/M)^0.5 .....................................(3)

¹Ðµµ RÀº ÀÌ»ó±âü »ó¼ö¿Í ±×¸®°í Isentropic Exponent k ´Â Boltzman Constant¿Í È¥µ¿ÇÒ ¼ö ÀÖÀ¸¹Ç·Î °¢°¢ ¥ñ¿Í ¥ã·Î ¹Ù²ã ³ªÅ¸³Â½À´Ï´Ù.  ¾ðÁ¨°¡ ÀÌÁÖÁ¦¿¡ ´ëÇØ ÀÌ¹Ì ÀÌ°÷ °Ô½ÃÆÇ¿¡ ¿Ã·È´ø ±ÛÀÌ ÀÖ¾ú´Âµ¥ ã¾Æº¸°í Ãß°¡ ´ä±ÛÇÏ°Ú½À´Ï´Ù.
éÌÜó yongbong   17-02-09 08:45
´äÀ» ãÀº µí Çؼ­ ¿Ã·Á º¾´Ï´Ù. ±âº»½Ä Vc = (¡ÓP/¡Ó¥ñ)^0.5 ¿¡¼­ gasÀÇ (ideal gas ¾Æ´Ô) isentropic process °ü°èÀÎ PV^¥ã=const. ¸¦ ÀÌ¿ëÇϸé
PV^¥ã = P/(¥ñ^¥ã) = C,
P = C*¥ñ^¥ã
¡ÓP/¡Ó¥ñ = ¥ã*C*¥ñ^(¥ã-1) = ¥ã*C*¥ñ^¥ã / ¥ñ = ¥ã*P / ¥ñ

µû¶ó¼­
Vc = (¡ÓP/¡Ó¥ñ)^0.5 = (¥ã*P / ¥ñ)^0.5 °¡ µÇ³×¿ä.

À§ ½ÄÀ» ±¸ÇØ ³õ°í, ±Ù»çÀûÀÎ ¹æ¹ýÀ¸·Î °è»êÇϱâÀ§ÇØ ideal gas (and constant temperature)·Î °¡Á¤Çϸé
¡ÓP/¡Ó¥ñ = ¡Ó(¥ñRT)/¡Ó¥ñ = RT = P/¥ñ, Áï P/¥ñ = ¡ÓP/¡Ó¥ñ À̹ǷÎ
Vc = (¥ã*P / ¥ñ)^0.5 = (¥ã*¡ÓP/¡Ó¥ñ)^0.5

°¨»çÇÕ´Ï´Ù.
   

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