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Fluids motion HARD!. i attached the file as a PDF check picture from Q4 
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Apr2910, 01:49 PM

P: 16

1. The problem statement, all variables and given/known dataµ
Q.4 An incompressible fluid of density ρ flows steadily through a twodimensional infinite row of fixed vanes, a few of which are shown below. The vane spacing is a. The velocities V1 and V2 and pressures p1 and p2 are all constant along their respective stations, (1) and (2). The directions of the two velocities are given by the angles β1 and β2, as shown. Find the horizontal and vertical components of the force necessary to keep one vane in place. Express your answer in terms of ρ, a, p1, p2, V1, β1 and β2. 2. Relevant equations bernoulli equation newton equation of momentum: mass flow out X velocity 2  mass flow in X velocity 1= forces acting on Control volume. 3. The attempt at a solution I find in the xdirection ( assuming unit depth): rho X a X V^{2}_{2}cos (beta 2)  rho X a X V^{2}_{1}= (p_{1}p_{2})X a + F_{x}. I think F_{y}=0 but i'm not sure so please help i've spent hours on this 


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