thin layer oI water flowWs down a plate inclined to the horizontal with an angle a = 15° in the shown coordinate system. If the thickness of the water layer is a=0.5 mm, assuming that the flow is laminar and incompressible, (water density p = 1000 kg/m³viscosity u = 0.001 Pa.s and acceleration of gravity g = 9.81 m/s²) and an air flow shears the layer in a direction opposite to its flow with a shear stress of 1 N/m². Solve the Navier-Stokes equation: %3D air

thin layer oI water flowWs down a plate inclined to the horizontal with an angle a = 15° in the shown coordinate system. If the thickness of the water layer is a=0.5 mm, assuming that the flow is laminar and incompressible, (water density p = 1000 kg/m³viscosity u = 0.001 Pa.s and acceleration of gravity g = 9.81 m/s²) and an air flow shears the layer in a direction opposite to its flow with a shear stress of 1 N/m². Solve the Navier-Stokes equation: %3D air

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

P1 A thin layer of water flows down a plate inclined to the horizontal with an angle
a = 15° in the shown coordinate system. If the thickness of the water layer is
a=0.5 mm, assuming that the flow is laminar and incompressible, (water density
p = 1000 kg/m³viscosity µ = 0.001 Pa.s and acceleration of gravity g =
9.81 m/s²) and an air flow shears the layer in a direction opposite to its flow with
a shear stress of 1 N /m². Solve the Navier-Stokes equation:
air
water
(a) to find the value of the maximum water velocity in m/s to three decimal
points,
Answer:
(b)and to find the value of water velocity at the layer's surface in m/s to three
decimal points,
Answer:

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