For the velocity field of Prob. 4–58, what relationship must exist between the coefficients to ensure that the flow field is incompressible?

Data from Problem 4-58

A general equation for a steady, two-dimensional velocity field that is linear in both spatial directions (x and y) is

where U and V and the coefficients are constants. Their dimensions are assumed to be appropriately defined. Calculate the x- and y-components of the acceleration field.

Transcribed Image Text:

V = (u, v) = (U + ax + b₁y)i + (V + a₂x + b₂y)]