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FLUID MECHANICS

1.1 A flow field describing an atmospheric flow (i.e., a weather pattern) is described by the velocity field where K 105 m2/s and the x and y coordinate directions are parallel to the latitude and longitude lines, respectively. First, plot the y-component of the velocity when y0 and -1 km < x < 1 km, but exclude the region near the origin (-100 m < χ < 100 m). what is the x-component of the velocity in this same range? Second, plot the x-component of the velocity when x-0 and-1 km < y < 1 km, but exclude the region near the origin (-100 m < y < 100 m). what is the y-component of the velocity in this same range? Obtain an expression for the magnitude of the velocity vector as a function of position x and y. Can you simplify this result any further by recognizing that r,the distance from the origin, can be expressed as What kind of weather pattern do you think this velocity field represents? 1.2 For the atmospheric flow field above, determine an expression for the acceleration ä and evaluate it at the following (x, y) coordinates: (-250 m, 0), (250 m,0), (0.-250 m), (0, 250 m), and (0,0) 1.3 For the atmospheric flow field above, determine an expression for the dilation rate V.V and vorticity

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