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
icon
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
+
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 +
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Solving Trigonometric Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,