For the velocity field of Prob. 458, what relationship must exist between the coefficients to ensure that

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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.

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