The velocity field of a given flow in Cartesian coordinates can be expressed as V = (5z − 3)ˆi + (x + 3)ˆj + 4ykˆ ft/s, where x, y, and z are in feet. Determine the fluid speed at the origin (0, 0, 0) and along the x-axis (y = z = 0).

The fluid speed along the origin is  

The fluid speed of along x-axis(y = z = 0) is

Explanation:

From the question we are told that

   The velocity is  

Generally at origin

So at the origin the equation becomes

Generally the magnitude of the speed at origin is mathematically represented as

=>    

Generally the velocity on the x- axis (  y= z = 0 ) is mathematically represented as

Generally the magnitude of the speed is  

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