1. An oil of density p and viscosity µ, drains steadily down the side of a vertical wall, as shown. After a development region near the top of the wall, the oil film becomes independent of z and flows with a constant thickness 8. Note that the wall is very large, extending "infinitely" (compared to the thickness 8) in y and z directions. The vertical velocity can be assumed to be the only component of flow velocity. The whole flow is taking place out in the atmosphere and the atmosphere offers no shear resistance to the film. Plate Oil film Air First, reduce the continuity equation to its simplest formfor this problem by justifying each reduction/simplification. Then, using the information obtained from the continuity and other assumptions/information about the flow, reduce the remaining Navier-Stokes equations reduction/simplification. What would you obtain if you solved the reduced equations? Do not solve the reduced equations. to their simplest forms by justifying each

1. An oil of density p and viscosity µ, drains steadily down the side of a vertical wall, as shown. After a development region near the top of the wall, the oil film becomes independent of z and flows with a constant thickness 8. Note that the wall is very large, extending "infinitely" (compared to the thickness 8) in y and z directions. The vertical velocity can be assumed to be the only component of flow velocity. The whole flow is taking place out in the atmosphere and the atmosphere offers no shear resistance to the film. Plate Oil film Air First, reduce the continuity equation to its simplest formfor this problem by justifying each reduction/simplification. Then, using the information obtained from the continuity and other assumptions/information about the flow, reduce the remaining Navier-Stokes equations reduction/simplification. What would you obtain if you solved the reduced equations? Do not solve the reduced equations. to their simplest forms by justifying each

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

1. An oil of density p and viscosity µ, drains steadily down the side of a vertical wall, as shown. After a
development region near the top of the wall, the oil film becomes independent of z
and flows with a constant thickness 8. Note that the wall is very large, extending
"infinitely" (compared to the thickness 8) in y and z directions. The vertical velocity
can be assumed to be the only component of flow velocity. The whole flow is taking
place out in the atmosphere and the atmosphere offers no shear resistance to the film.
Plate
Oil film
Air
First, reduce the continuity equation to its simplest formfor this problem by justifying
each reduction/simplification. Then, using the information obtained from the
continuity and other assumptions/information about the flow, reduce the remaining
Navier-Stokes
equations
their simplest forms byjustifying each
to
reduction/simplification. What would you obtain if you solved the reduced
equations? Do not solve the reduced equations.

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