An experimental inverse problem in determining spatially varying surface heat flux using measured temperature readings

An Inverse Problem for Estimating Spatially and Temporally Dependent Surface Heat Flux with Thermography Techniques

“…The discrepancy principle [21,22] is then employed to determine the value of ε. The difference between the estimated and measured temperatures is assumed to be σ:…”

“…Researchers have comprehensively explored inverse problems related to heat conduction [1][2][3][4][5][6][7][8][9], heat convection [10][11][12][13][14][15][16], and heat radiation [17][18][19], employing diverse algorithms. However, investigations into inverse conjugate heat transfer problems [20][21][22] remain notably scarce within the available literature.…”

“…It should be noted that the above problems are related to inverse heat conduction, convection, or radiation; no inverse heat conjugated problems were investigated. Recently, Huang and He [21] employed the CGM for the first time to determine the unknown spacedependent heat flux in a steady-state 3-D inverse conjugate heat transfer problem, and subsequently [22] conducted experiments to verify the validity of the CGM when estimating the heat flux of a steady-state inverse heat conduction-convection conjugated problem. To our knowledge, the CGM has not been previously applied to address a three-dimensional time-dependent inverse heat conduction-convection conjugated problem.…”

“…These equations enable coupled simulations of fluid, thermal, chemical, biological, electrical, and mechanical phenomena. It has been widely employed in numerous studies on inverse problems [21,22] for direct problem computations.…”