Answered: Problem s): 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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Transcribed Image Text:Problem s): Consider incompressible Newtonian fluid flow between parallel plates (Fig. 7) that are horizontal and a distance A apart. A constant pressure gradient is applied in the x-direction (dp/dx). The flow is fully developed laminar and steady. The plate width is denoted by B. a) Simplify the governing equations TILST b) Define the boundary conditions inte c) Determine the velocity profile Continuity Equation f + P8x P8y ə əx Momentum Equations au 2x² Pgz (pu) + др əx + μl ap + M ay (pv) + 2- (07) - = əz ap + az d²v əx² a²w 2 dx² + + + อิน dy² dv dy² a²w ay² + + a²u ลิน az + a²w az² ди pl at dv at dw at + u + 11 + u ди əx dv əx aw əx + v + v ди + v ду dv ду + w dw + w du Fig. 7: Flow between parallel plates with a constant pressure gradient az du + w əz dw az Fixed 1 1 1 u(y) Fixed max A

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