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In the study, the linear least-squares error method isadopted to analyze the three-dimensional inverse heat transferproblems in a grinding process. In the calculation process, twomethods of iterations are developed to solve the non-linearinverse problems and decrease the needful memory of computer. The numerical method can solve the inverse problems with onlythe temperature information on finite number of locations beneaththe working surface at certain time domain is required. At thebeginning of the study, finite-difference method is employed todiscretize the problem domain into two parts of direct andsensitivity problems, and then to construct a linear inversemodel for unknown condition estimation. The results show thatthe heat distribution and heat convection coefficients can beobtained by the proposed method even under the influence ofmeasurement errors. The analysis of the temperature and heatdistribution of the workpiece help prevent the thermal damageto the workpiece from occurring due to the high temperatureduring grinding process.
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