- #1
slyman
- 8
- 0
2) For Bingham fluid in a falling film. [tex]\tau[/tex]0.
a) Find the equation for [tex]\tau[/tex]xz as a function of x using a shell balance.
b) Solve for the minimum thickness of film that will allow flow of this Bingham fluid using the equation for a Bingham fluid and the correct boundary conditions.
c) Solve this equation for vz as a function of x for a fluid whose thickness is greater than the minimum.
d) Solve for the volumetric rate of flow Q.
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For part a, we know the shell balance is exactly the same for a Newtonian or non-Newtonian fluid so. So the equation is
τxz = ρ g x cos β
I'm having trouble with the rest of the questions. For part b we use the no slip boundary conditions but I don't know how to solve it for a bingham model. Can anyone help me out?
Thanks in advance.
a) Find the equation for [tex]\tau[/tex]xz as a function of x using a shell balance.
b) Solve for the minimum thickness of film that will allow flow of this Bingham fluid using the equation for a Bingham fluid and the correct boundary conditions.
c) Solve this equation for vz as a function of x for a fluid whose thickness is greater than the minimum.
d) Solve for the volumetric rate of flow Q.
---
For part a, we know the shell balance is exactly the same for a Newtonian or non-Newtonian fluid so. So the equation is
τxz = ρ g x cos β
I'm having trouble with the rest of the questions. For part b we use the no slip boundary conditions but I don't know how to solve it for a bingham model. Can anyone help me out?
Thanks in advance.