JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (9): 83-90.doi: 10.6040/j.issn.1671-9352.0.2019.010

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Reconstruction of unknown surface heat flux from an internal temperature history

REN Jian-long   

  1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
  • Online:2019-09-20 Published:2019-07-30

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Abstract: An inverse heat conduction problem is discussed by using the temperature observed at a certain point in the interior of the heater to recover the surface heat flux of heater wall. The forward problem is solved with the method of variable separation, then the original problem is transformed into Volterra integral equation of the second kind and the uniqueness of the solution of integral equation is proved. Numerical simulation is conducted with the direct solving method. The numerical results are carried out to confirm the feasible and effective of the aforementioned method,and the heat flux is recovered very well.

Key words: heat flux, inverse problem, Volterra integral equation, uniqueness, numerical simulation

CLC Number: 

  • O175.26
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