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Analysis of the surface-probe equation |
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| Authors: | P S Swathi C J Cremers |
| Institution: | Department of Mechanical and Aerospace Engineering, Arizona State University, Tempe, Arizona, USA Department of Mechanical Engineering, University of Kentucky, Lexington, Kentucky, USA |
| Abstract: | An integrating surface-probe is a tool for the determination of local fluxes from surface-integrated measurements. For an axisymmetric system, the data analysis involves the numerical solution of a severely ill-conditioned Volterra integral equation of the first kind. This study establishes the existence of a unique solution under certain conditions and considers solution techniques based on product integration and also evaluation of the inversion integral. The methods are tested for convergence against exact input data, and the performance of the best methods against simulated experimental data is studied. |
| Keywords: | Heat flux measurements current density measurements radiative flux measurements electric arcs |
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