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2 Bulletin of the Polish Academy of Sciences. Technical Sciences

2 1998

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Determination of surface conditions from internal temperature measurement at selected points

Al-Khalidy N., Skorek J.

Bulletin of the Polish Academy of Sciences. Technical Sciences

1998

Vol. 46, nr 1

73-84

This paper examines the accuracy of a space marching formulation for solving two-dimensional inverse heat conduction problems. The parameters that have a major influence on the solution such as time step size, measurement errors and Biot number are investigated. The temperature and heat flux on the surface of a body are estimated on the base of the temperature measurement at a number of sensors located inside the body. The initial condition is assumed to be unknown. The solution is presented in terms of temperature data and their derivatives with respect to time.

A control volume formulation of III posed inverse heat conduction problems

Al-Khalidy N.

Bulletin of the Polish Academy of Sciences. Technical Sciences

1998

Vol. 46, nr 1

61-72

An inverse control volume code is developed for the study of transient boundary inverse heat conduction problems. A nonlinear numerical formulation of the Weber method is extended to relatively high noisy input data. The control volume method is combined with a digital filter method for solving the hyperbolic approximation of the inverse heat conduction problems. The results show that such combination allows to obtain more accurate results. This proposed solution method can be used to estimate the boundary conditions basing on the temperature history at an interior point inside the body. The accuracy of the method is verified by comparison with the analytical (exact) solution of a direct problem.