taral gatiki

taral gatiki taral yaantriki ki ek shaakha hai. iska prayog tagisheel taralon (drav tatha gas) ki prakruti tatha us par lagne vaale balon ke aakalan ke liye kiya jaata hai. jatil taral gatiki ke savaalon ke hal ke liye ganakeeya taralagatiki ka prayog hota hai jismein sanganakon ke sahaare taral sameekaranon ka sankhyaatmak hal kiya jaata hai.

taralagatiki ka mool sameekaran saatatya sameekaran (equation of continuity) kahalaata hai jo nimn prakaar se likha jaata hai-

{\frac {\partial \rho }{\partial t}}+\operatorname {div} \left(\rho {\vec {v}}\right)=0

taral gatiki mein prayukt ganiteeya sameekaranon mein neviyr stoks sameekaran sabse saamaanya (generalised) roop hai. iske saraleekrut roopon ko kai naamon se jaana jaata hai. taralon ka balon ke prati aacharan unke ghanatv, shyaanata tatha anya gunon par nirbhar karta hai. yadi drav ki shyaanata bahut kam ho to gharshan balon ko naganya maanate hue chhoda ja sakta hai. is prakaar praapt sameekaran yoolar ka sameekaran kahalaata hai jo is prakaar hai-

{\frac {\partial {\vec {v}}}{\partial t}}+\left({\vec {v}}\cdot \nabla \right){\vec {v}}=-{\frac {\nabla p}{\rho }}

barnooli ka prameya

mukhya lekh : barnooli prameya

$P_{1}+\rho gh_{1}+{\frac {1}{2}}\rho v_{1}^{2}=P_{2}+\rho gh_{2}+{\frac {1}{2}}\rho v_{2}^{2}$ $P_{1}+\rho gh_{1}+{\frac {1}{2}}\rho v_{1}^{2}=P_{2}+\rho gh_{2}+{\frac {1}{2}}\rho v_{2}^{2}$

jahaaain $P$ $P$ drav ka sthaitik daab, $\rho$ $\rho$ drav ka ghanatv, $g$ $g$ [[gurutvajanit tvaran, $h$ $h$ oonchaai $v$ $v$ drav ka veg

yadi drav asanpeedaneeya (uncompressible) ho to is sameekaran ke saath nimnalikhit sameekaran bhi laagoo hota hai. ise saatatya sameekaran (equation of continuity) kehte hain.

$G=A_{1}v_{1}=A_{2}v_{2}$ $G=A_{1}v_{1}=A_{2}v_{2}$

jahaaain $A$ $A$ drav pravaah ka kshetrafal $v$ $v$ drav ka veg

inhein bhi dekhein

dravasthaitiki
taral yaantriki