dv = 0 ду ди 1) əx +
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Solve only Question no. 1
please convert below PDE equations into ODE's then solve using finite difference technique.
![ди
dv
= 0
ду
1)
K1 ƏN
р ду
a²u
oB²u
ди
+ v
дх
ди
2) и
+
%3D
ду
ду?
ƏN
y a²N
ƏN
+ v
дх
K, (2N + )
3)
ду
pj ðy²
ƏT
+ v
и
əx
aT
= a
ду
дс дт
+
160T a²T
DT (ƏT`
4)
+ Tw
B
ду?
ду ду
Too
ду.
3K*pc, dy2
ac
ac
a²c
DT a²T
5)
+ v
ax
- DB
- KĄC – C»).
и
ду
ду?
To dy2
along with initial and boundary conditions
пр
v = -Vw(x); u = uw(x); N = -m; T = Tw(x); C = Cw(x) at y = 0
ду"
и — 0; N — 0%; Т — Т»; С — Coo as y — оо
3*/21
þ = /201U„e*/2if(n); N = Uwe°
(T – T»)
Uw
Ø(n)
(С — Со),
n = y
V 201
Uw /21
+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8bc9bfa-1a07-4794-860d-0ee6f55bfbd4%2F1de8445a-50f5-4543-9dd4-e922fe413829%2F7zdiux_processed.png&w=3840&q=75)
Transcribed Image Text:ди
dv
= 0
ду
1)
K1 ƏN
р ду
a²u
oB²u
ди
+ v
дх
ди
2) и
+
%3D
ду
ду?
ƏN
y a²N
ƏN
+ v
дх
K, (2N + )
3)
ду
pj ðy²
ƏT
+ v
и
əx
aT
= a
ду
дс дт
+
160T a²T
DT (ƏT`
4)
+ Tw
B
ду?
ду ду
Too
ду.
3K*pc, dy2
ac
ac
a²c
DT a²T
5)
+ v
ax
- DB
- KĄC – C»).
и
ду
ду?
To dy2
along with initial and boundary conditions
пр
v = -Vw(x); u = uw(x); N = -m; T = Tw(x); C = Cw(x) at y = 0
ду"
и — 0; N — 0%; Т — Т»; С — Coo as y — оо
3*/21
þ = /201U„e*/2if(n); N = Uwe°
(T – T»)
Uw
Ø(n)
(С — Со),
n = y
V 201
Uw /21
+
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