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P. Nigischer: 
''Asymptotische Analyse der Hydroelastischen Zahnradschmierung''; 
Supervisor: H. Steinr{\"u}ck, B. Scheichl; Institut f{\"u}r Str{\"o}mungsmechanik und W{\"a}rme{\"u}bertragung, 2022; final examination: 2022-10-18.

@mastersthesis{nigischer22[TUW-304564],
    author = {Nigischer, Paul},
    title = {Asymptotische Analyse der Hydroelastischen Zahnradschmierung},
    school = {Institut f{\"u}r Str{\"o}mungsmechanik und W{\"a}rme{\"u}bertragung},
    year = {2022},
    keywords = {Hydroelastische Zahnradschmierung},
    abstract = {In the scope of this master thesis, hydrodynamic and hydroelastic processes during\par
the rolling process of a straight-toothed gear pair running in lubricant under ambient\par
conditions are theoretically investigated.\par
In the first part, the basic equations for mass, momentum, energy and mass transfer are\par
used to set up equations that describe the purely hydrodynamic lubrication conditions\par
in the lubrication gap under the assumption of rigid body geometry. A distinction is\par
made between whether one or two teeth are in mesh per gear. In the case of single\par
meshing, the model equations are converted into a dimensionless form, which is then\par
solved analytically. In the case of double meshing, the equations are solved using a\par
numerical solution method based on the Runge-Kutta method.\par
In the second part of this thesis, the model is extended and the elasticity of the material\par
is taken into account which leads to the phenomenon of elastohydrodynamic lubrication.\par
The equations are solved with the aid of the method of matched asymptotic expansion.\par
In the course of the calculations, five sub-regions - two outer regions, one contact region,\par
one inflow region and one outflow region - are identified. The model equations in the\par
inflow and outflow regions are solved using the Chebyshev spectral collocation method.\par
In the last part, the stress curves in the solid are determined and an energy balance is\par
established. For the determination of the temperature rise in the lubricant during one\par
pass, it is assumed that the tooth flanks are adiabatic.}
}