Question

The velocity in a certain two-dimensional flow field is given by the equation: ✓ = 2xti – 2 yı

Answer 1

= dat? - Byt ſ [78 +42+] À + [-29 +my+ ♡ given aus unsteady steady is flow a) as velocile comprents all = Qat both are Varayt varying with time to they are unsteady How expression ofacollation D Sul talle Sy + v. sy 89 Sae 22 St sy sCaxt) + (2xt) & (PH) + (-2y) f (aet) dx st (xt) lat) to 22 2x tuxt? ax t visu su sa d tel su 84 = ay -૨૪ sy (2xt)(0) + Gaya) (mat) ay = -2y + nyt? agit ayj 11 o

مب c ) compressible et incompressible stream function 8W = (-24 t) 84--Qxt) sy sxe qu = -axyt te' Streasa fenetton existe so It is incompressibt. for this (مه) continenty equations SM Soe sy t sy tatat so gtis incompressible, ivro tational rotational as is 4) flow Ć (0-0). ed = -O 1/2 L sl y su Wayang leo temporada 1 (one) Lo-0) fie Suy sa sy = 1 1 1 Wz It is irrotationa How .

cen, Atential Velocity function. 80 Sel : - szt) sa sy * 0 = -28 aC, SO --19 = + Ryt Q y? ta у*++, x+4) + y24t) + c &is potential fanction exists It is irrotational e) e 2Xyt+s at toise -2xy + c et it's hyperbola د کرا . ty - V tx -X -
as our guidlines we have to do first 4 sub parts thanku i have tried 5th subparst also

Any douts please leave comments i am here to clarify thank u