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. Consider the Two-dimensional Incompressible Flow Field in Which U = Axy and V = By2 , Where a =

Consider the two-dimensional flow field in which $u=A x^{2}$ and $v=B x y,$ where $A=1 / 2 \mathrm{ft}^{-1} \cdot \mathrm{s}^{-1}, B=-1 \mathrm{ft}^{-1} \cdot \mathrm{s}^{-1},$ and the coordinates are measured in feet. Show that the velocity field represents a possible incompressible flow. Determine the rotation at point $(x, y)=(1,1) .$ Evaluate the circulation about the "curve" bounded by $y=0, x=1, y=1,$ and $x=0$.

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Consider the two-dimensional flow field in which $u=A x^{2}$ and $v=B x y,$ where $A=1 / 2 \mathrm{ft}^{-1} \cdot \mathrm{s}^{-1}, B=-1 \mathrm{ft}^{-1} \cdot \mathrm{s}^{-1},$ and the coordinates are measured in feet. Show that the velocity field represents a possible incompressible flow. Determine the rotation at point $(x, y)=(1,1) .$ Evaluate the circulation about the "curve" bounded by $y=0, x=1, y=1,$ and $x=0$.

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we even. We are going to understand this person here. Given in the bosom state. U. Is equal to hear liquid is going in two dimensional flow. So here you is given in two X squared and value of V is given being too excellent, mm Is equal to given one upon 2 mental universe. The second universe And valuable pay is given -1 Military immersion to 2nd universe. For in compressible. Do you know that you know for in compressibility, flu or in compressible flow? The velocity field must satisfy the continue to question. The velocity field must satisfy the continued to a prison continuity equation. No, we can right. We know that the continuity equation is the day you were born. Then you upon their ex. Yes, They'll be upon. And boy is equal to zero if this condition is getting fulfilled. And then we can say that liquids in compressible liquid soup, not taking their different season of you. So do you. A phone B. X. Is equal to going into that to a employers similarly devi upon. Well, Y is equal to paying two X. Here, value of A is given one by one, 282. 1 x two and 2 x is equal to X. And value of B is given -1 some minus No. They will substitute the value of the U upon dx and DV upon divide in question. Also feeling the value in the present moment. No X yes -X is equal to zero helps. We can conclude that hence we can conclude he came compute that liquid cheese in compressible is in compressible flow in compressible. Two. No, we will solve it for park second. No, we will solve it for part B coordinates for rotation. It is given or names for autism. For rotation has given X. Coma. Boy Is equal to 1:01. So he can they the you were born do you bundle X is equal to X is equal to one because we are sufficiently the value of X. Mhm. You upon florida envy upon tell me why then we upon L. Y. That is equal to -1 into one. So it will be my next one. Hence rotation of fluid about X. Y. It's rotation of food, rotation of lewd. Hello X come away. There it is. Come on. No your coordinate of X comma weighs one comma one. So we can ride omega is equal to one. A point to this is a condition. There will be upon x minus they do upon delivery. Sorry. Here it will be then we upon delivery, this will be done then we upon them by into that. I tell you about that no security value in this. So one upon 2 and two. Davey upon the way that is -1. Mind us last one. So after solving we will get minus took upon too, hence omega is equal to minus one. So here -1 is -1. The city's protecting an at and T global direction. It is rotating 30 year minus means it is committed to cooperate. And it is rotating in. Well boys that except oh please direction. You know, be able to find her 3rd place in about the given boundary, secularism. You're older. Given boundary even boundary here Brandi is given excellent comma Y even Is equal to 000. An Extra comma Y two. That is given 1:01 Who protection will be circular circulation will be minus tv upon the X. Sorry Manager. Davey upon. Do you even minus Bu upon the X two x 2 Delta Y. So your baby upon dy minus the U. Upon TX vehicle voted it if Value of Davy upon the way that is -1. My nest telugu upon the F. That is plus months mm delta X Means 1 0 into 1 0 because here one minus zero X one minus x two minus x one and y two minus Y. You no. After solving they will get 3rd place and is equal to -2. That was the explanation to this question. Thank you

. Consider the Two-dimensional Incompressible Flow Field in Which U = Axy and V = By2 , Where a =

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