Unformatted text preview: constructed with a diameter of 3 cm. What flow rate should be used for the model to ensure that the fluid dynamics in the model represent the fluid dynamics in the coronary artery? Assume the working fluid in the model has the same properties as blood: µ =0.035 Poise and ρ =1.07 g/cm 3 . Problem 5 : An incompressible velocity field for blood flow is given as where a is a constant and gravity is in the z direction only. Use the NavierStokes equations for Cartesian coordinates to write the pressure gradient function. Remember: k j axy i y x a V ˆ ˆ 2 ˆ ) ( 2 2 + − − = k g j i g ˆ ˆ ˆ − + = z V V y V V x V V t V dt V d z y x ∂ ∂ + ∂ ∂ + ∂ ∂ + ∂ ∂ =...
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 Fall '11
 Wang
 Fluid Dynamics

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