We examined the Carslaw and Jaeger(C-J)method to compute the temperature profile of inner soil in a region of Antarctica.The solution of the C-J method is expressed as an integral of the convolution of surface tempera...We examined the Carslaw and Jaeger(C-J)method to compute the temperature profile of inner soil in a region of Antarctica.The solution of the C-J method is expressed as an integral of the convolution of surface temperature and a transfer function,and can be used to determine the thermal diffusivity of soil.The obtained solution,however,is only an approximation of the integral because the fieldmeasured temperature data used as the surface temperature are usually obtained at a specific time interval,causing some error in the C-J method.This error is identified in the present study through mathematical examples which graphically compare the results obtained from finite element analysis and the C-J method.The error increases as the surface temperature changes abruptly or with a larger thermal diffusivity.As the time interval increases,the error tends to increase for the C-J method,implying that the time interval needs to be small enough to ensure that the analysis is accurate.This study,therefore,recommends a finite element method to solve heat conduction problems related to estimating the temperature of inner soil,because this method is not dependent on the measurement time interval.展开更多
基金financially supported by the National Research Foundation of Korea funded by the Ministry of Education(NRF-2015R1C1A2A01052726)the International Collaborative Energy Technology R&D Program of the Korea Institute of Energy Technology Evaluation and Planning(KETEP),granted financial resource from the Ministry of Trade,Industry&Energy,Republic of Korea(No.20168510050070).
文摘We examined the Carslaw and Jaeger(C-J)method to compute the temperature profile of inner soil in a region of Antarctica.The solution of the C-J method is expressed as an integral of the convolution of surface temperature and a transfer function,and can be used to determine the thermal diffusivity of soil.The obtained solution,however,is only an approximation of the integral because the fieldmeasured temperature data used as the surface temperature are usually obtained at a specific time interval,causing some error in the C-J method.This error is identified in the present study through mathematical examples which graphically compare the results obtained from finite element analysis and the C-J method.The error increases as the surface temperature changes abruptly or with a larger thermal diffusivity.As the time interval increases,the error tends to increase for the C-J method,implying that the time interval needs to be small enough to ensure that the analysis is accurate.This study,therefore,recommends a finite element method to solve heat conduction problems related to estimating the temperature of inner soil,because this method is not dependent on the measurement time interval.
