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Indian Journal of Engineering and Materials Sciences (IJEMS) >
IJEMS Vol.19 [2012] >
IJEMS Vol.19(1) [February 2012] >
| Title: | Direct search optimization technique for the solution of inverse nonlinear heat conduction problem |
| Authors: | Mehta, R C |
| Keywords: | Inverse problem
Thermal conductivity
Heat conduction
Rocket nozzle |
| Issue Date: | Feb-2012 |
| Publisher: | NISCAIR-CSIR, India |
| Abstract: | An iterative procedure is used to calculate the transient
temperature in a finite slab with temperature dependent thermal conductivity. Closed-form
constant property solution is considered as the initial guess to solve the heat
conduction equation. The results obtained by this method are in good agreement
with the numerical solution. The iterative method for the solution of the
nonlinear heat conduction equation has the advantage that temperatures can be
directly found at any specified time and location whereas the numerical
approach requires the development of temperature profile from right from the
initial state. The present paper includes a direct search optimization method
for the estimation of the convective heat transfer coefficient from the
transient temperature data measured in one-dimensional finite slab with the
linear variation of thermal conductivity with temperature. The direct search
optimization method does not need calculation of the sensitivity coefficient.
The algorithm does not depend on the future-temperature information. The convective
heat transfer coefficients are estimated in a typical rocket nozzle using the
measured transient temperature at the outer surface. The results computed by
the present algorithm are in good agreement with the numerical solution. |
| Page(s): | 67-71 |
| CC License: |  CC Attribution-Noncommercial-No Derivative Works 2.5 India |
| ISSN: | 0975-1017 (Online); 0971-4588 (Print) |
| Source: | IJEMS Vol.19(1) [February 2012]
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