N2 - Inverse boundary problem for cylindrical geometry and unsteady heat conduction equation was solved in this paper. This solution was presented in a convolution form. Integration of the convolution was made assuming the distribution of temperature T on the integration interval (ti, ti+ Δt) in the form T (x, t) = T (x, ti) Θ + T (z, ti+ Δt) (1 - Θ), where Θ ϵ (0,1). The influence of value of the parameter Θ on the sensitivity of the solution to the inverse problem was analysed. The sensitivity of the solution was examined using the SVD decomposition of the matrix A of the inverse problem and by analysing its singular values. An influence of the thermocouple installation error and stochastic error of temperature measurement as well as the parameter Θ on the error of temperature distribution on the edge of the cylinder was examined.
L1 - http://journals.pan.pl/Content/94656/mainfile.pdf
L2 - http://journals.pan.pl/Content/94656
PY - 2014
IS - No 3 September
EP - 280
KW - inverse problem
KW - sensitivity of solution
KW - heat conduction
A1 - Joachimiak, M.
A1 - Ciałkowski, M.
PB - The Committee of Thermodynamics and Combustion of the Polish Academy of Sciences and The Institute of Fluid-Flow Machinery Polish Academy of Sciences
T1 - Optimal choice of integral parameter in a process of solving the inverse problem for heat equation
DA - 2014
SP - 265
UR - http://journals.pan.pl/dlibra/publication/edition/94656
T2 - Archives of Thermodynamics