Problem 1a: (10 marks) Expand the vector momentum equation pg-Vp+V-Ty = p(dv/dt) into set of fully-expanded 3 scalar equ
Posted: Fri Jul 08, 2022 6:28 am
- Problem 1a 10 Marks Expand The Vector Momentum Equation Pg Vp V Ty P Dv Dt Into Set Of Fully Expanded 3 Scalar Equ 1 (129.78 KiB) Viewed 27 times
Problem 1a: (10 marks) Expand the vector momentum equation pg-Vp+V-Ty = p(dv/dt) into set of fully-expanded 3 scalar equations. Also, using the above equation derive Navier-Stokes momentum equations for Newtonian fluids. Problem 1b: (15 marks) Consider the steady, two-dimensional, incompressible ve- locity field V = (az + b)i + (-ay+c), where a, b, and c are constants. Determine the pressure field as a function of x and y. But first prove that the given velocity field is a solution to the Navier-Stokes momentum equations. CLO-3, C-3 Application, PLO-2