µ [a?v a²v elax2' ay2 1 дР dv +v- Əx dv + gßr(T – Tc) | рду

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Obtain the following basic equations modeling natural convection in the two-dimensional plane at steady conditions in terms of the given dimensionless quantities. Note: The buoyancy term in the y-momentum equation will be obtained based on dimensionless numbers. Note: second photo gives you what you need
u[a?v a²v]
əy²
pay ' plax² ' dy²
dv
dv
1 ƏP
-+v-
+ gßr(T – Tc)
и
-
-
-- -
|
ax
ду
рду р
Transcribed Image Text:u[a?v a²v] əy² pay ' plax² ' dy² dv dv 1 ƏP -+v- + gßr(T – Tc) и - - -- - | ax ду рду р
y
y':
L2
T- Tc
T* = -
и
x* =
L
u* =
a
P* =
P
pa?
TH - Tc
Ra =
Pr
= -
ya
a
Transcribed Image Text:y y': L2 T- Tc T* = - и x* = L u* = a P* = P pa? TH - Tc Ra = Pr = - ya a
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