Temperature measurement using optical fiber with applications to automobiles considering a highly accurate numerical solution for the conductive heat transport in a circular cylinder

Dan Curticapean; Adrian Neculae

doi:10.1117/12.781034

28 April 2008 Temperature measurement using optical fiber with applications to automobiles considering a highly accurate numerical solution for the conductive heat transport in a circular cylinder

Dan Curticapean, Adrian Neculae

Author Affiliations +

Proceedings Volume 7003, Optical Sensors 2008; 70032K (2008) https://doi.org/10.1117/12.781034
Event: SPIE Photonics Europe, 2008, Strasbourg, France

Abstract

The computation of the heat transfer equations solution generally implies the use of commercial codes, often expensive. An important goal of solving heat transfer problem in a given context is to obtain an accurate solution using accessible tools at a low computational time cost. Because of complexity of the problem, a variety of different approximations are used and their validity limit must be tested in each case performing comparisons with experimental results. In this paper we present a simple, rapid and accurate method to compute the temperature evolution during the heating or cooling of a metal circular cylinder. For moderate temperature values only the conductive transfer can be considered and the resulted heat transport equation is solved. The initial temperature distribution is described by Dirichlet type boundary conditions. Taking into account a sufficiently large number of terms in the analytical solution expression so that the initial boundary condition is fulfilled (in our case N = 500), we obtain a simple yet accurate approximation of the full transport solutions. The results are consistent with experimental data and in excellent agreement with simulations performed with much more complex codes for the investigated temperature domain. The method can be adapted to the temperature measurement inside the engine. Using the specific advantages of the optical fibers might be a reliable tool for improving the temperature control in the engine and consequently the performances of the automobile.

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Dan Curticapean and Adrian Neculae "Temperature measurement using optical fiber with applications to automobiles considering a highly accurate numerical solution for the conductive heat transport in a circular cylinder", Proc. SPIE 7003, Optical Sensors 2008, 70032K (28 April 2008); https://doi.org/10.1117/12.781034

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KEYWORDS

Convection

Temperature metrology

Optical fibers

Computer simulations

Finite element methods

Bessel functions

Body temperature

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