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1. Consider a source panel of length l and of uniform strength ? per unit length lying on the y axis. Show that the velocity potential at a point (x, y) caused by the source panel is?(x, y) = (? / 4?) ?[y1 to y1 l] ln[x^2 (y ? y0)^2] dy0where y1 is the distance of the lower end of the panel from the x axis. Then verify that the velocity components at that point areu(x, y) = (? / 2?) [tan^(-1)((y ? y1)/x) ? tan^(-1)((y ? y1 ? l)/x)]v(x, y) = (? / 4?) [lnx^2 (y ? y1)^2 ? lnx^2 (y ? y1 ? l)^2
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