Fluid particle at some later time t OA' Fluid particle at time t = 0

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Converging duct flow is modeled by the steady, two-dimensional velocity field V-›= (u, ? ) = (U0 + bx) i-›− byj-› where U0 is the horizontal speed at x = 0. A fluid particle (A) is located at x = xA and y = yA at time t = 0. At some later time t, the fluid particle has moved downstream with the flow to some new location x = xA′, y = yA′, as shown in the figure. Generate an analytical expression for the y-location of the fluid particle at arbitrary time t in terms of its initial y-location yA and constant b. In other words, develop an expression for yA

Fluid particle at
some later time t
OA'
Fluid particle at
time t = 0
Transcribed Image Text:Fluid particle at some later time t OA' Fluid particle at time t = 0
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