Answered: Problem 3: Consider incompressible…

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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Consider incompressible Newtonian fluid flow between parallel plates (Fig. 4) that are horizontal and a distance h apart. The plates can be considered as very wide and very long so that the flow is essentially axial; hence, u ≠ 0 but v = w = 0 and ∂/∂z=0. B represents the plate width. The flow is fully developed laminar and steady.

Transcribed Image Text:Problem 3: Consider incompressible Newtonian fluid flow between parallel plates (Fig. 4) that are horizontal and a distance h apart. The plates can be considered as very wide and very long so that the flow is essentially axial; hence, u ‡ 0 but v = w = 0 and a/az-0. B represents the plate width. The flow is fully developed laminar and steady. a) Simplify the governing equations (continuity and momentum) for this flow; B Fixed Fig. 4 u(y) b) Apply the boundary conditions and determine the velocity profile; c) Develop expressions for the flow rate and mean velocity from the velocity profile. h

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