dy² Pg , where g is the acceleration due to gravity μ

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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d²u
dy²
pg where g is the acceleration due to gravity
H
Transcribed Image Text:d²u dy² pg where g is the acceleration due to gravity H
h
film
surface
air
Figure Q2 Vertical Film Flow
Figure Q2 shows a section through a water film flowing down a vertical
surface. The conservation equations that describe the flow may be written in
full as:
Mass conservation
ди Əv
əx
Əy
Momentum conservation
du
Ju ди
+u -+v==
dt
əx ду
dv
dv
Əv
=
dt əx ду
Determine and justify the boundary conditions that apply and simplify the
governing equations, with justification to show that:
X
-100+ 0 + 0 + F₂
4+ [246 +20 + 40
Transcribed Image Text:h film surface air Figure Q2 Vertical Film Flow Figure Q2 shows a section through a water film flowing down a vertical surface. The conservation equations that describe the flow may be written in full as: Mass conservation ди Əv əx Əy Momentum conservation du Ju ди +u -+v== dt əx ду dv dv Əv = dt əx ду Determine and justify the boundary conditions that apply and simplify the governing equations, with justification to show that: X -100+ 0 + 0 + F₂ 4+ [246 +20 + 40
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