The Expected Inaccuracy in Measuring the Temperature Profiles in Solid Propellant by Thermocouple Elements
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Keywords:
numerical simulation, heat transfer in solids, finite-difference methods, thermocouple measurementAbstract
The behavior thermocouple in a solid medium is an interesting opportunity problem for
accuracy of temperature measurement.This work considers interaction of thermocouple embedded
in the solid substance pyrolyzed by external heat source with heat wave propagating inside
the substance from the surface of its pyrolysis. Numerical simulation has shown that significant
difference in the values of thermal conductivity coefficients of solid substance and thermocouple
material results in the heat flow along thermocouple wires inside the substance that substantially
changes thermo junction temperature thus misrepresenting thermocouple data.
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of Particles and Nuclei Letters, 5(3), 274–277 (2008).
2. G. A. Franco, E. Caron, and M. A. Wells, Quantification of the surface temperature discrepancy caused by
surface thermocouples and methods for compensation, Metallurgical and Materials Transactions B, 338B,
949–956 (2007).
3. A. A. Zenin, Errors of thermocouple measurements of flames, J. Engng. Phys., 5(5), 67–74 (1962).
4. A. A. Zenin, Heat transfer of thermocouples in solid fuel combustion waves, J. Appl. Mech. and Techn. Phys.,
5, 125-131 (1963).
5. B. W. Asay, S. F. Son, P. M. Dickson, L. B. Smilowitz, and B. F. Henson, An investigation of the dynamic
response of thermocouples in inert and reacted condensed phase energetic materials, Pro-pellants, Explosives,
Pyrotechnics, 30(3), 199–208 (2005).
6. A. D. Rychkov, L. K. Gusachenko, and V. E. Zarko, Accuracy estimation of thermocouple tempera-ture
measurement in solid fuel, Papers of VI Meeting of Rus.-Kazak. Work Group in Comp. and Inform. Technol.,
Kazakh National University, Almaty, 282–286 (2009).
7. M. Vinokur, An analysis of finite-difference and finite-volume formulations of conservation laws, J. Comput.
Phys., 81, 1–52 (1989).
8. N. N. Yanenko, Fractional Step Method for Solving Problems of Mathematical Physics, Nauka, Novosibirsk
1967.
9. V. D. Liseikin, A Computational Differential Geometry Approach to Grid Generation, second edition, Springer,
Berlin, 2007.
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How to Cite
Milosevic, H., Rychkov, A. D., Kontrec, N., & Taseiko, O. (2018). The Expected Inaccuracy in Measuring the Temperature Profiles in Solid Propellant by Thermocouple Elements. Journal of Mathematics, Mechanics and Computer Science, 86(3), 24–32. Retrieved from https://bm.kaznu.kz/index.php/kaznu/article/view/403
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Mathematical modeling of technological processes
