Question

1 2 Prove Bernoulli's Theorem for an inviscid flow The Theorem states that for any path C connecting ] points Po and Pi in a region when u re, obeus use du tu. Da = no DP + F (Douzo with F=-04 and assume u is irrotational, i.e. Vxu =0

Answer 1

2) Soubion? Page No: The Bernoullie's Equation for invisi id flowo which Can be derived from Euler's Equation. → tere Euler's Squation of motion can be consider under some restrictions Velocity must be desired from Velocity potential. a Density must be Constant Now Consider Euler's equatby :- da u u.vu: F-pop ..... Euler's Equation u=-TO & xxv=o i irrotational velocity. From the Euler's Equation where Four Conservalive forces 1. P = Constant. Now Substituta 'u' value in above &quication, dt (-x^2 + vỏ : v4 - P.2 - a che et bien +$]=0 de ets to constant

Page No: 0 Ly 2 + $ - Constant - Hence it is required bernoullis Equaters. - X-