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Automotive and Engine Technology

, Volume 3, Issue 1–2, pp 45–60 | Cite as

CFD–CHT calculation method using Buckingham Pi-Theorem for complex fluid–solid heat transfer problems with scattering boundary conditions

  • Peter Hölz
  • Thomas Böhlke
  • Thomas Krämer
Original Paper
  • 308 Downloads

Abstract

A three-dimensional CFD–CHT simulation method is presented and validated with a turbocharged single cylinder SI engine. Various ignition time and lambda strategies as well as variations of boost pressure are investigated with regard to cycle averaged component temperatures. This complements existing published works which experimentally studied crank angle resolved heat fluxes or temperature swings rather than averaged temperatures. Cyclical fluctuations in the pressure curves were measured and processed statistically using probability density functions for the heat transfer coefficient and the cylinder gas temperature. The corresponding joint probability density function considers their strong correlation. The interpretation as random variables enables a time-scale separation with a low-pass filter function. The thermomechanical problem of heat transfer is addressed with simplified models according to Woschni, Eichelberg, and Hohenberg. Previous investigations primarily focused on their predictive quality of instantaneous in-cylinder heat fluxes. In this paper, their effect on cycle averaged component temperatures is investigated and the corresponding different sensitivities to specific engine settings are presented and compared with measurements. It is shown that, by choosing the right model, the suggested simulation approach is an alternative to prevailing experimental methods in temperature analysis: all thermodynamic variations examined are in good agreement with theoretical predictions.

Keywords

Similarity mechanics Buckingham Pi-Theorem Conjugate heat transfer Engine heat transfer Scattering boundary conditions 

Notes

Acknowledgements

P. Hölz would like to thank Tobias Möllenhof and Christian Eifrig, both Porsche Motorsport, for their experimental support.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Porsche AGPorsche MotorsportWeissachGermany
  2. 2.Chair for Continuum MechanicsInstitute of Engineering Mechanics, Karlsruhe Institute of Technology (KIT)KarlsruheGermany

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