A two-dimensional fluid element of dimensions dx and dy translates and distorts, as shown in Figure Q2(c) below, during

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A Two Dimensional Fluid Element Of Dimensions Dx And Dy Translates And Distorts As Shown In Figure Q2 C Below During 1 (80.75 KiB) Viewed 31 times

A two-dimensional fluid element of dimensions dx and dy translates and distorts, as shown in Figure Q2(c) below, during the infinitesimal time period dt = t2 – t). The velocity components at the point P at the initial time (tı) are u and v in the x- and y-directions, respectively. The final state at time (t2) is shown in the figure as at point P'. Show that the magnitude of the rate of rotational (i.e., angular velocity, w) about the point P in the xy-plane is: (12 marks) | 0 = 0. 1/ Ov ди 21 Ox Ôy Q da-b at t₂ Line b- Line a P Fluid element at time t2 a-b = 1/2 Line b P u Line a Fluid element at timet, y x Figure Q2(c)