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For the following velocity field: V -2yi 9y2j m/s a) Determine whether the flow is one, two or three dimensional b) Calculate the velocity components at the point (0.5,3.5) c) Develop an equation for the streamline passing through the same point as part b The velocity components are:

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Answer #1

in this question for answer (a) velocity field is given as x,y components only. so the flow is two dimensional.

for answer (b) compared with velocity equation V= u i+v j.

for answer (c) we consider two dimensional stream line equation , then by integrating on further we get an equation.C) iven that dut compare with, .џ.tv9 J Velecity equation . Velechy fcd Specihed only χ, y component . 60, The oo is tuoo dinensional a velo Components at the poiut 0.5, 3.5) Substitute צ :0.5 and ys 3.5 in akve equation l hen 3.5l0.25j Confere with velocity Cǐuahondiional Sthrea lie We end that, o0 ay 2) Qy 2x2 ntr) 丈 2 -c 글).(9) 3 1-9 d^ AR보 boundary bom lan Condi hons to de c etcrmin e o.5 x (3.5) O. 312. 3 0.ol 0.90l4 y-[ 0.132 3! 3/ 3

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