iven by V = (u, v) = (2.7 - 1.9x, 0.65 + 1.6y), where the coordinates are in m and the velocity is in m/s. Find the linear strain rate (in s^(-1)) in the x-direction.

(2) Consider the following fluid velocity fields: F(x,y) = (x,y), F(x,y)=(-x, y), F(x,y) = (y, 0). (a) Plot the three fields as glyphs. Which of these vector fields represent an expansion, a compression and a shear flow? (b) Calculate the divergence of the three fields V F. Can you relate the value of the divergence with the nature (compression, expansion or shear of the flow)? (c) Calculate the circulation V x F and relate it with the nature of the flow.

A 2D velocity field is given by V = (u, v) = (2.5 - 1.9x, 0.65 + 0.9y), where the coordinates are in m and the velocity is in m/s. Find the volumetric strain rate (in s^(-1))

Homework What is the third velocity component such that continuity equation is satisfied if two components are u = 1. 2y2, w = 2хyz ? 2. Consider the following steady, two-dimensional, incompressible velocity field V = (Ax? + B)i + (-Ay + Cx²)j where A, B, and C are constants. Calculate the pressure as a function of x and y.