Answered: y = h 7(x)

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

Make an analysis of the shape h ( x ) of the water–air interface
near a plane wall, as in Fig. , assuming that the
slope is small, R ^{- 1} ≈ d ² η / dx ² . Also assume that the pressure
difference across the interface is balanced by the
specifi c weight and the interface height, ∆p ≈ ρ g η . The
boundary conditions are a wetting contact angle θ at x = 0
and a horizontal surface η = 0 as x--->∞. What is the
maximum height h at the wall?

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