Question

Problem 7 (10 Pts) For the converging flow, write the continuity equation and show that V, = f(0)r. Then, write the r and components of the Navier-Stokes equations, and put the Vr into the r and 0 components of the Navier- Stokes equations. Lastly, write the no-slip boundary conditions using f(e). You do not need to solve the equations

Answer 1

In this solution some basic concepts and equations of Fluid Mechanics are used. For more information, refer to any standard textbook or drop a comment below. Please give a Thumbs Up, if solution is helpful.

Solution :

foy Steacy in Counpresa la le 2-D flow, fu contiuu 1 wten cs quaton Y fuly cluselope flow tu cnanga in vdodty S cu'recro, would be tero, for Now O ao ng Henc avefoo - Contimity tuoation becomes avr Vr Vr ne Y nawier Stok es guahon in . di'rection wowof flow Now be, fer Steaoly invisci d and Vo Vr Y Y CS Scanned with CamScanner

Here puting, dr Vr avr Y soiny and Y Vo 7 artiolly inde groting gat an d On Wo 2 V 6 Y Vo Now fromBoundarly condi'tan, VY mo cup) at we Vo eloaty Ckeweanned witu CamScanner he comef

amyle hat of Cone Cs Scanned with CamScanner

NOTE : Feel free to ask further queries. Your positive rating would be appreciated and motivate me !