On the solution of transient heat conduction of multi‐layer slab and filtering temperature measurements

Abstract

Purpose

The purpose of this paper is to show how a system of differential equations of one‐dimensional transient cooling heat conduction of different multi‐layer slabs has been solved numerically. A simple deterministic filtering matrix has been developed to remove errors involved in the experimental temperature measurements.

Design/methodology/approach

The system of differential equations is solved through Crank‐Nicolson method using a developed computer code. The developed matrix is based on the available information about the system and is strong enough to detect and remove errors from the measured temperatures.

Findings

The filtering algorithm is very straightforward and easy to implement and needs to be developed once for a given system.

Originality/value

This paper shows how the governing equations of transient heat conduction of multi‐layer slabs have been solved through Crank‐Nicolson method using a developed computer code. The code is user friendly and solves a large system of simultaneous differential equations for any given composite slab configurations. Furthermore, a matrix filter has been suggested to remove experimental errors. The filter is based on the available information about the considered system. The developed matrix filter is shown to be a powerful technique to detect the noisy data and correct them while intelligent enough not to harm good data. The filtering algorithm is very straightforward and easy to implement and needs to be developed once for a given system.

Citation

Hojjati, M.H. and Tari, H. (2010), "On the solution of transient heat conduction of multi‐layer slab and filtering temperature measurements", Multidiscipline Modeling in Materials and Structures, Vol. 6 No. 1, pp. 166-178. https://doi.org/10.1108/15736101011055310