Journal
Scientific and technical journal of information technologies, mechanics and optics
UDK535.3+517.926.4+519.642.7
Issue:6 (88)
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INFRARED TOMOGRAPHY OF HOT GAS: MATHEMATICAL MODEL OF ACTIVE-PASSIVE DIAGNOSIS
Annotation
Basic problems of IR tomography of a hot gas on the example of a burner flame are formulated. The variant of two flame diagnosis regimes application is described: the active one (ON) – with included translucent source and the passive one (OFF) – without such source. Two integral equations are deduced concerning the absorption coefficient k and the Planck function B of a medium (by which it is possible to calculate the temperature profile of a medium Tg). In the case of axial symmetry and parallel scanning of flame, the equations are transformed into one-dimensional singular integral equations of Abel's type concerning k and B. For its numerical solving, the generalized quadrature method, data smoothing by splines and the Tikhonov regularization method are used. The software package for MatLab7 is developed. Experimental diagnosis results of the burner flame for some wave number ν in some flame cross-section were processed by means of MatLab7. Specific feature of the proposed technique is that it does not require a determination of k by a special measuring or through a database, for example, the HITRAN/HITEMP. The review is intended for students, postgraduate students, lecturers and scientific researches specializing in tomography, integral equations, ill-posed problems, applied mathematics and programming.
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