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    Wyświetlanie 1-5 z 5
    Tytuł:
    Analysis of temperature distribution in a pipe with inner mineral deposit
    Autorzy:
    Joachimiak, M.
    Ciałkowski, M.
    Bartoszewicz, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/240495.pdf
    Data publikacji:
    2014
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    mineral deposit
    inverse problem
    złoża kopalin
    zagadnienie odwrotne
    Opis:
    The paper presents the results of calculations related to determination of temperature distributions in a steel pipe of a heat exchanger taking into account inner mineral deposits. Calculations have been carried out for silicate-based scale being characterized by a low heat transfer coefficient. Deposits of the lowest values of heat conduction coefficient are particularly impactful on the strength of thermally loaded elements. In the analysis the location of the thermocouple and the imperfection of its installation were taken into account. The paper presents the influence of determination accuracy of the heat flux on the pipe external wall on temperature distribution. The influence of the heat flux disturbance value on the thickness of deposit has also been analyzed.
    Źródło:
    Archives of Thermodynamics; 2014, 35, 2; 37-49
    1231-0956
    2083-6023
    Pojawia się w:
    Archives of Thermodynamics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Optimal choice of integral parameter in a process of solving the inverse problem for heat equation
    Autorzy:
    Joachimiak, M.
    Ciałkowski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/240049.pdf
    Data publikacji:
    2014
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    inverse problem
    sensitivity of solution
    heat conduction
    zagadnienie odwrotne
    przewodnictwo ciepła
    Opis:
    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.
    Źródło:
    Archives of Thermodynamics; 2014, 35, 3; 265-280
    1231-0956
    2083-6023
    Pojawia się w:
    Archives of Thermodynamics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stable solution to nonstationary inverse heat conduction equation
    Autorzy:
    Joachimiak, M.
    Ciałkowski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/240557.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    inverse problem
    nonstationary heat conduction equations
    solution sensitivity
    integral parameter
    zagadnienie odwrotne
    parametr
    całka
    wrażliwość
    roztwór
    Opis:
    The paper presents investigations related to solving of a direct and inverse problem of a non-stationary heat conduction equation for a cylinder. The solution of the inverse problem in the form of temperature distributions has been obtained through minimization of a functional being the measure of the difference between the values of measured and calculated temperatures in M points of the heated cylinder. The solution of the conduction equation was presented in the convolutional form and then numerically integrated approximating one of the integrand with a step function described with parameter Θ ∈ (0, 1]. The influence of the integration parameter Θ on the obtained solution of the inverse problem (including a number of temperature measurement points inside the heated body) has been analyzed. The influence of the parameter Θ on the sensitivity of the obtained temperature distributions has been investigated.
    Źródło:
    Archives of Thermodynamics; 2018, 39, 1; 25-37
    1231-0956
    2083-6023
    Pojawia się w:
    Archives of Thermodynamics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Non-linear unsteady inverse boundary problem for heat conduction equation
    Autorzy:
    Joachimiak, M.
    Ciałkowski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/239945.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    inverse problem
    sensitivity of solution to inverse problem
    application of Chebyshev polynomials
    zagadnienie odwrotne
    wrażliwość rozwiązania
    wielomiany Czebyszewa
    zastosowanie
    Opis:
    Direct and inverse problems for unsteady heat conduction equation for a cylinder were solved in this paper. Changes of heat conduction coefficient and specific heat depending on the temperature were taken into consideration. To solve the non-linear problem, the Kirchhoff’s substitution was applied. Solution was written as a linear combination of Chebyshev polynomials. Sensitivity of the solution to the inverse problem with respect to the error in temperature measurement and thermocouple installation error was analysed. Temperature distribution on the boundary of the cylinder, being the numerical example presented in the paper, is similar to that obtained during heating in the nitrification process.
    Źródło:
    Archives of Thermodynamics; 2017, 38, 2; 81-100
    1231-0956
    2083-6023
    Pojawia się w:
    Archives of Thermodynamics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Solution of inverse heat conduction equation with the use of Chebyshev polynomials
    Autorzy:
    Joachimiak, M.
    Frąckowiak, A.
    Ciałkowski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/239926.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    Laplace’s equation
    boundary inverse problem
    quasi-Cauchy problem
    stability of the inverse problem
    równanie Laplace'a
    brzegowe zagadnienie odwrotne
    Problem Quasi-Cauchy'ego
    Opis:
    A direct problem and an inverse problem for the Laplace’s equation was solved in this paper. Solution to the direct problem in a rectangle was sought in a form of finite linear combinations of Chebyshev polynomials. Calculations were made for a grid consisting of Chebyshev nodes, what allows us to use orthogonal properties of Chebyshev polynomials. Temperature distributions on the boundary for the inverse problem were determined using minimization of the functional being the measure of the difference between the measured and calculated values of temperature (boundary inverse problem). For the quasi-Cauchy problem, the distance between set values of temperature and heat flux on the boundary was minimized using the least square method. Influence of the value of random disturbance to the temperature measurement, of measurement points (distance from the boundary, where the temperature is not known) arrangement as well as of the thermocouple installation error on the stability of the inverse problem was analyzed.
    Źródło:
    Archives of Thermodynamics; 2016, 37, 4; 73-88
    1231-0956
    2083-6023
    Pojawia się w:
    Archives of Thermodynamics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-5 z 5

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