Homework #4 of Aerospace Heat Transfer (AE311)
Question 6.3 (20 points) from the Global Edition
: the question contains a temperature distribution by an exponential function.
Question 6.9 (20 points) from the Global Edition
: the question contains a list of c/d, C, m values.
Q4-3 (60 points). Solve the following set of equations numerically to (i) draw the profile of T*(η) and (ii) evaluate
dT *
, and (iii) find η where T*=0.99 for Pr=4. Attach your script using a mono-spaced font (-10 points if not using a
∂η η =0
mono-spaced font, https://en.wikipedia.org/wiki/Monospaced_font)
An example MATLAB script for velocity solution is posted on KLMS.
2
d3 f
d2 f
+
f
=
0
∂η 3
dη 2
d 2T * Pr dT *
+
f
=
0
∂η 2
2
dη
With the boundary conditions:
u0
df
df
1 &=
f η =0 0
= 0 & = =
dη η = 0
dη η = ∞ u∞ η = ∞
dT
=
T*
0,=
T*
1 &= 0
η=0
η=∞
dη η = ∞
On the first page of homework submission, include the following sentence and sign it.
-----------------------------------------------------------I certify that this assignment is my own work, based on my personal study.
[Your name], [Date], [Signature]
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