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Modeling of Thermal Spraying Heat Transfer Processes by Exodus Stochastic Method

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Abstract

This article deals with the application of the stochastic Exodus method for modelling of thermal spraying heat transfer processes and for solving direct and indirect problems. The Exodus stochastic method has an advantage in straightforward solving of the transient inverse heat transfer multi-dimensional problems over other methods based on iterative fittings procedures used for example by finite element methods (FEM). Theoretical background of the method is introduced. Application capabilities of the method are shown on the example of high velocity oxygen fuel thermal spraying heat transfer process analysis. Comparisons with results of FEM computational method application are presented.

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Abbreviations

a :

thermal diffusivity (m2 s−1)

b :

transition probability (−)

B :

transition probabilities matrix (−)

Bi :

Biot number (−)

c :

Heat capacity (J kg−1 K−1)

f :

Surface temperature (K)

Fo :

Fourier number (−)

h :

distance to neighboring node (m)

L :

characteristic length (−)

n :

number of nodes (−)

n :

dimensionless distances to neighboring node (−)

p :

random walk probability (−)

P :

random walk probability matrix (−)

t :

temperature (K)

δFo :

step of Fourier number (−)

Δτ:

time step (s)

λ:

thermal conductivity (W m−1 K−1)

ρ:

density (kg m−3)

τ:

time (s)

abs:

absorption

refl:

reflection

A:

relating to absorbing nodes

N:

relating to non-absorbing nodes

FEM:

finite element method

HVOF:

high velocity oxygen fuel

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Acknowledgment

This paper is based upon work sponsored by the Ministry of Education, Youth and Sports of the Czech Republic under research project no. MSM4977751302.

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Authors and Affiliations

  1. Department of Physics, University of West Bohemia in Pilsen, Plzen, 30614, Czech Republic

    Milan Honner & Jan Sroub

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  1. Milan Honner
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  2. Jan Sroub
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Correspondence to Milan Honner.

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Honner, M., Sroub, J. Modeling of Thermal Spraying Heat Transfer Processes by Exodus Stochastic Method. J Therm Spray Tech 18, 1014–1021 (2009). https://doi.org/10.1007/s11666-009-9368-4

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  • DOI: https://doi.org/10.1007/s11666-009-9368-4

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