Calculating pressure gradient

  1. a very dilute orange juice flows along a smooth tube (0.010m in diameter) with a maximum flow rate of 0.1m/s.
    a) State the assumptions needed to solve the problem
    b) Calculate the pressure gradient

    Equations:
    Vmax = (Change in P * R^2)/(4*viscosity*L)

    Reynolds number = (density*D*v)/viscosity

    I am a bit confused about how to solve this as I havn't done any engineering before. This is what I have come up with so far:

    a) Assume laminar flow - Reynolds number = 2100
    Assume newtonian fluid
    Assume density of dilute orange juice is same as for water.

    b) Use Reynolds number to solve for viscosity. Then solve for change in pressure/L using Vmax equation.

    Any help would be appreciated!
     
  2. jcsd
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