Numerical method for the solution of non-linear two-dimensional inverse heat conduction problem using unstructured meshes

Abstract

SUMMARYA new method of solving multidimensional heat conduction problems is formulated. The developed space marching method allows to determine quickly and exactly unsteady temperature distributions in the construction elements of irregular geometry. The method which is based on temperature measurements at the outer surface, is especially appropriate for determining transient temperature distribution in thick-wall pressure components. Two examples are included to demonstrate the capabilities of the new approach.

Inverse method for temperature and stress monitoring in complex-shaped bodies

“…The control volume finite element method (Baliga and Patankar, 1983) is applied to solve problems that also occur in elements of complex geometry (Duda and Taler, 2000). Eq.…”

“…The solution of an inverse problem in complex-shaped bodies is possible by using finite element control volume method. The proposition to use this algorithm for triangular finite elements and numerical tests can be found in (Duda and Taler, 2000). This paper shows how the algorithm (Duda and Taler, 2000) can be expanded for four-noded quadrilateral elements for plane and axisymmetrical problems and demonstrates how the algorithm can be applied in practice.…”

Modeling of Energy Consumption and Reduction of Pollutant Emissions in a Walking Beam Furnace Using the Expert Method—Case Study

“…The efficiency of the furnace can be influenced by, among other methods correctly determining the heating time and temperature changes in the working space of the furnace [43,44]. The temperature distribution in the furnace space is limited by the design features of the furnace, the shape and dimensions of the charge and the physical properties of the heated material [45,46]. Incorrectly selected heating parameters may cause improper heating of the charge, disturbance of the furnace's operation, or an increase the heating time, which is tantamount to an increase in energy and gas consumption rates for furnace firing and reduces the furnace's efficiency [47,48].…”

Non-linear unsteady inverse boundary problem for heat conduction equation

“…Inverse problem for the heat conduction equation was solved with the use of sequential method and described in papers [2,22]. Analysis of thermal fields during unsteady heat transfer for an irregular geometry was described in [4]. Method of inverse problem finds a wide application in technical issues.…”