... + δ)=w(p + δ), v
(p + δ) ≥ 0 and ω
1
≤ ω
2
imply ω
1
= ω
2
.
72
Heat Conduction – Basic Research
Heat Conduction – Basic Research
88
Height [m]
0
0.001
0.002
0.003
0.004
0.005
0.006
-25 ... a
∈PC(σ)
are identifiable from observations z
m
(t; a) of the heat conduction process (2) taken at finitely
many points p
m
.
84
Heat Conduction – Basic Research
Identifia...
... from orders@intechweb.org
Heat Conduction – Basic Research, Edited by Vyacheslav S. Vikhrenko
p. cm.
ISBN 978-953-307-404-7
Heat Conduction – Basic Research
6
3.2 Initial value ...
Preface IX
Part 1 Inverse Heat Conduction Problems 1
Chapter 1 Inverse Heat Conduction Problems 3
Krzysztof Grysa
Chapter 2 Assessment of Various Methods in Solving
Invers...
... Chow, L. C. (1981), Inverse Heat Conduction by Direct Inverse Laplace
Transform, Numerical Heat Transfer, Vol.4, pp.499-504, ISSN 104 0-7782
Heat Conduction – Basic Research
32
7. References ... are not
determined by the data.
Heat Conduction – Basic Research
34
Hetmaniok, E., Słota, D. & Zielonka A. (2 010) , Solution of the inverse heat conduction...
... Regularization Parameter; a: α = 10
-12
; b: α = 10
-10
(a)
(b)
Fig. 15. Effect of Self-Confidence Parameter; (a) c0=0.5; (b) c0=1.2
Heat Conduction – Basic Research
58
number of ... the reconstructed
heat flux, using the basic particle swarm optimization technique. Stable and accurate results
are obtained for a range of values of
α = 10
-12
to 10...
... equal to 0.6R.
Part 2
Non-Fourier and Nonlinear Heat Conduction,
Time Varying Heat Sorces
Heat Conduction – Basic Research
112
The generalized forms of the nonlinear heat conduction equation ... curves are not shown in this figure.
Heat Conduction – Basic Research
106
In this work, local heat transfer is analyzed by solving inverse heat conduction...
... L
c
for the classical heat conduction
(Gambár & Márkus, 1994) restricting our examination for the one dimensional case, are
156
Heat Conduction – Basic Research
Heat Conduction Problems of ... repulsive interaction in the relativistic
160
Heat Conduction – Basic Research
Heat Conduction Problems of Thermosensitive Solids under Complex Heat Exchange
151...
... the
following coupled nonlinear ordinary differential equations:
164
Heat Conduction – Basic Research
Heat Conduction – Basic Research
180
heat transfer scientists define the dimensionless Biot number ... dynamic phase transition. It is important to emphasize that in this
172
Heat Conduction – Basic Research
Heat Conduction – Basic Research
184
(
...
... 0.06 0.08 0 .10
1
10
10 0
Er ror ( % )
L
thick
(m)
Heat Conduction – Basic Research
190
If Eq. (40) is scaled to three dimensions one can show that after a time t has elapsed the heat
outspread ... )
(x 10
4
J m
-2
K
-1
s
-1/2
)
0.0001 0.0 010 0. 0100
0.01
0.1
1
10
100
100 0
l
(s)
L (m)
0
Heat Transfer and Reconnection Diffusion in
Turbulent Magnetized P...