Problem 1Consider steady, incompressible, parallel, laminar flow of a film of oil fallingslowly down an infinite vertical wall which is moving upward at speed V. Theoil film thickness is h, and gravity acts in the negative z-direction (downward).There is no applied (forced) pressure driving the flow-the oil falls by gravityalone.(a) Calculate the velocity fields in the oil film.(b) Calculate the volume flow rate per unit width of oil falling down the wall(V/L) as a function of wall speed V and the other parameters in theproblem.Oil film:P. μP= PatmAir(c) Calculate the wall speed required such that there is no net volume flow of oil either up or down: giveyour answer for V in terms of the other parameters in the problem, namely, p, u, h, and g.(d) Calculate V for zero volume flow rate for an oil film of thickness 4.12 mm with p = 888 kg/m³ and μ =0.801 kg/m.s.

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(c) Calculate the wall speed required such that there is no net volume flow of oil either up or down: give your answer for V in terms of the other parameters in the problem, namely, p, H, h, and g. (d) Calculate V for zero volume flow rate for an oil film of thickness 4.12 mm with p = 888 kg/m³ and μ = 0.801 kg/m.s.

(c) Calculate the wall speed required such that there is no net volume flow of oil either up or down: give your answer for V in terms of the other parameters in the problem, namely, p, H, h, and g. (d) Calculate V for zero volume flow rate for an oil film of thickness 4.12 mm with p = 888 kg/m³ and μ = 0.801 kg/m.s.

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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Concept explainers

Properties of Fluids

The term fluid represents a type of substance that can easily change its shape under any external pressure/force and can flow. Fluids can acquire any shape in which it is stored and can resist normal stresses but cannot resist shear stress in rest condition. Whenever external shear stress is applied to fluids, it starts to flow. The fluids may be liquid or gas. Example- water, air, etc.

Question

Problem 1
Consider steady, incompressible, parallel, laminar flow of a film of oil falling
slowly down an infinite vertical wall which is moving upward at speed V. The
oil film thickness is h, and gravity acts in the negative z-direction (downward).
There is no applied (forced) pressure driving the flow-the oil falls by gravity
alone.
(a) Calculate the velocity fields in the oil film.
(b) Calculate the volume flow rate per unit width of oil falling down the wall
(V/L) as a function of wall speed V and the other parameters in the
problem.
Oil film:
P. μ
P= Patm
Air
(c) Calculate the wall speed required such that there is no net volume flow of oil either up or down: give
your answer for V in terms of the other parameters in the problem, namely, p, u, h, and g.
(d) Calculate V for zero volume flow rate for an oil film of thickness 4.12 mm with p = 888 kg/m³ and μ =
0.801 kg/m.s.

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