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Estimation of Time-Varying Heat Flux for One-Dimensional Heat Conduction Problem by Hybrid Inverse Method

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Abstract

Time-varying heat flux for one-dimensional heat conduction problem is estimated by inverse heat transfer method. The conjugate gradient method (CGM) and hybrid of JAYA-CGM algorithm are used for estimation. Finite volume method (FVM) is used to discretize one-dimensional problem domain for determining simulated temperature measurements. These temperature measurements are utilized in CGM and hybrid algorithm in order to estimate transient heat flux. Results show that hybrid algorithm estimates constant, linearly increasing, and linearly decreasing heat flux better than CGM.

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References

  1. Ozisik MN, Orlande HRB (2000) Inverse heat transfer: fundamentals and applications. Taylor and Francis, New York

    Google Scholar 

  2. Tikhonov AN, Arsenin VY (1977) Solution of Ill-posed problems. Winston & Sons, Washington DC

    MATH  Google Scholar 

  3. Alifanow OM, Artyukhin EA (1975) Regularized numerical solution of nonlinear inverse heat conduction problem. Inzhenerno-Fizicheskii Zhurnal 29:159–164

    Google Scholar 

  4. Parwani AK, Talukdar P, Subbarao PMV (2013) Performance evaluation of hybrid differential evolution approach for the estimation of strength of heat source in radiatively participating medium. Int J Heat Mass Transf 56:552–560

    Google Scholar 

  5. Rao RV (2016) Jaya: a simple and new optimization algorithm for solving constrained and unconstrained optimization problems. Int J Ind Eng Conf 7:9–34

    Google Scholar 

  6. Rao RV (2017) Ankit saroj: constrained economic optimization of shell-and-tube heat exchanger using elitist JAYA algorithm. Energy 128:785–800

    Article  Google Scholar 

  7. Rao RV, Rai DP, Ramkumar J, Balic J (2016) A new multi objective JAYA algorithm for optimization of modern machining process. Adv Prod Eng Manag 11:271–286

    Google Scholar 

  8. Shah S, Parwani AK (2019) Estimation of time-varying heat source for one-dimensional heat conduction by conjugate gradient method. In: Innovations in infrastructure. advances in intelligent systems and computing, vol 757. Springer (Book Chapter), Singapore pp 329–339

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Acknowledgements

This work is supported by the fund of SERB division of Department of Science and Technology, Government of India. The financial support toward this research is greatly appreciated.

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Correspondence to Ajit Kumar Parwani .

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Shah, S., Parwani, A.K. (2020). Estimation of Time-Varying Heat Flux for One-Dimensional Heat Conduction Problem by Hybrid Inverse Method. In: Parwani, A., Ramkumar, P. (eds) Recent Advances in Mechanical Infrastructure. Lecture Notes in Intelligent Transportation and Infrastructure. Springer, Singapore. https://doi.org/10.1007/978-981-32-9971-9_22

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  • DOI: https://doi.org/10.1007/978-981-32-9971-9_22

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-32-9970-2

  • Online ISBN: 978-981-32-9971-9

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