vayugatikiy sambhavya-pravah code

drav gatishilatemadhye, vayugatikiy sambhavya pravah sanket kinwa puttle sanket drav veg nirdharit karnyasathi aanee tyanantar ekhadya vastuvareel daab vitaran nirdharit karnyasathi vaparale jaatat. heey vartul kinwa pankh yasarkhi sadhee dvimiteey vastoo asoo shakate kinwa teey trimiteey vahan asoo shakate.
puttle aanee jaage honyache pratirupan karnyasathi srot, sink, vertex points aanee doublets mhanoon ekatmatechi malika vaparali jaate. heey sanket subsonic aanee supersonic vegane vaidh asoo shakatat.
itihas.
prarambhik puttle sanket 1960 chya dashakachya uttaradhat teey 1970 chya dashakachya suruvatiparyant vikasit kele gele. pannair (boingdware vikasit) yasarkhe pragat panel code pratham 1970 chya dashakachya uttaradhat sadar kele gele aanee sanganakacha veg vadhalyane lokpriyata midavali. kalantarane, puttle sanketanchi jaaga uchch kram puttle paddhati aanee tyanantar see. eff. dii. (sanganakeey drav gatishilata) neey ghetali gelee. tathapi, panel code ajunahi prathamik vayugatikiy vishleshanasathi vaparale jaatat kaaran ghatakanchya qamee sankhyemule vishleshanasathi lagnara vel lakshaniyaritya qamee asato.
anuman.
sambhavya pravah puttle paddhati vikasit karnyasathi heey vividh gruhitak aaheth
tathapi, sampidit naan karata yenyajogi pravahachi dharana sambhavya pravah vyutpattimadhun kadhoon takali jaau shakateh 
sambhavya pravahachya samasyesathi panel paddhatiche nirakaran.
jase q haah v chya aatoon v chya prushthbhagavar jaato, 
karanah sootra _ 4, jethe prushthbhag samanya aatalya dishene nirdesh karato.
heey samikaran srot sandnya aanee duheri sandnya yaa donhimadhye vibhagale jaau shakate.
aniyantrit bindu q varr srot shakti aaheh
aniyantrit bindu q varr duheri shakti aaheh
sambhavya pravahache sope samikaran asey aaheh
yaa samikaranasah, lagoo asalelya seema attins, sambhavya pravahachi samasya sodavali jaau shakate.
aavashyak seema atty.
antargat prushthbhagavaril veg kshamata aanee v (kinwa khalchya prushthbhagavaril s) madheel serve bindu 0 aahet.
duheri shakti ashee aaheh
bahya prushthbhagavaril veg kshamata prushthbhagasathi samanya aahe aanee mukt pravah vegachya barobarichi aahe.
jevha bhoomiti 'jalrodhak' bhoomiti asate tevha hii moolbhut samikarane purn hotat. jarr tee jalrodhak asel tarr tee eka changli samasya aahe. tase nasel tarr tee eka durbhavanapurna samasya aahe.
sambhavya pravah samikaranache vivechanatmakkaran.
changlya sthiteet asalelya seema attins sambhavya pravahache samikaran asey aaheh
satatcha prushthbhag aata swatantra patalanmadhye vegale kele jaau shakate. heey puttle pratyaksh prushthbhagachya aakaracha andaj lavtil. vividh srot aanee duheri sandnyanchya yaa mulyache moolyamapan soyiskar binduvar kele jaau shakate (jase qee puttle kendrabindu). srot aanee duheri shaktiche kahee gruheet vitaran (samanyatah sthir kinwa resheey) kendrabindu vyatirikt itar bindunvar vaparale jaate. adnyat shakti sootra _ 24 chee ekach srot sandnya s aanee adnyat shakti sootra _ 24 chee ekach duheri sandnya m dilelya binduvar paribhashit kelee jaatat.
kutheh
yaa sandnyancha vapar resheey samikarananchi eka pranali tayar karnyasathi keela jaau shakato jee sootra _ 24 chya serve adnyat mulyansathi sodavali jaau shakate.
patalanche pruthakkaran karnyachya paddhati.
kahee tantre samanyatah prushthbhagache pratirupan karnyasathi vaparali jaatat.
dabav nirdharit karnyachya paddhati.
ekada pratyek binduvaril veg nishchit jhaala qee, khalilpaiki eka sootra vaparoon daab nirdharit keela jaau shakato. serve vividh daab gunank paddhati samaan parinam detat aanee samanyatah parinam avaidh aahet asey pradesh olakhanyasathi vaparale jaatat.
daab gunank ashee paribhashit kelee jaateh
icentropic daab gunank aaheh

