YIN Yihui, LI Qisheng, HAO Yu, LI Yifei, FAN Zhigeng, LUO Zhaoyu. Research on Transient Temperature in the Work Room of a Rotary Arm Type Centrifuge[J]. Applied Mathematics and Mechanics, 2020, 41(1): 81-97. doi: 10.21656/1000-0887.400047
Citation: YIN Yihui, LI Qisheng, HAO Yu, LI Yifei, FAN Zhigeng, LUO Zhaoyu. Research on Transient Temperature in the Work Room of a Rotary Arm Type Centrifuge[J]. Applied Mathematics and Mechanics, 2020, 41(1): 81-97. doi: 10.21656/1000-0887.400047

Research on Transient Temperature in the Work Room of a Rotary Arm Type Centrifuge

doi: 10.21656/1000-0887.400047
Funds:  The National Natural Science Foundation of China(General Program)(11572298)
  • Received Date: 2019-01-25
  • Rev Recd Date: 2019-04-22
  • Publish Date: 2020-01-01
  • Firstly, in view of the transient heat conduction in the top, bottom and side walls of the work room of a rotary arm type centrifuge, the governing equations of transient temperature for the walls were developed. Through the Laplace transform and solution, the total heat flux amount permeating the interior surfaces of the walls in terms of air temperature in the work room was obtained. Then, the governing equation of transient air temperature in the work room was established according to the energy conservation principle. In the equation, the input energy from the drive system was balanced with the total energy absorbed by the air and solid parts in the work room, absorbed and transferred out by the walls, and taken away by the outflow air over inflow air. Finally, the explicit series expressions of the transient temperature in the work room were deduced by means of the expansion theorem of the inverse Laplace transform. As an example, the work room transient temperature of one constructed geotechnical centrifuge was computed theoretically and the results were compared with the experimentally measured values. The comparison indicates that, the theoretical solution is in good agreement with the experimental one. The established transient temperature formula can increase the forecast accuracy for the work room temperature and improve the temperature control design of the work rooms of rotary arm type centrifuges.
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