Towards a complete numerical description of lubricant film dynamics in ball bearings

Knauf, S.; Frei, Stefan; Richter, Thomas; Rannacher, Rolf

doi:10.1007/s00466-013-0904-1

Cited by 15 publications

(10 citation statements)

References 33 publications

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“…The film formation behaviour has been investigated by singlephase method [8,9]. A larger film thickness is useful to reduce the friction and the heat generated.…”

Section: Introductionmentioning

confidence: 99%

Jet cooling for rolling bearings: Flow visualization and temperature distribution

et al. 2016

Applied Thermal Engineering

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“…The film formation behaviour has been investigated by singlephase method [8,9]. A larger film thickness is useful to reduce the friction and the heat generated.…”

Section: Introductionmentioning

confidence: 99%

Jet cooling for rolling bearings: Flow visualization and temperature distribution

et al. 2016

Applied Thermal Engineering

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“…Despite being used quite often for quasi-Newtonian fluids [17][18][19][20], this approach was shown by Sobhani et al [17] to attain poor pressure approximations. The pressure Poisson stabilisation of Brezzi and Pitkäranta [21] was reported by Knauf et al [22] to also perform poorly in practice. The pressure projection method by Dohrmann and Bochev [23] was used successfully by John et al [24] and seems to be a good alternative.…”

Section: Introductionmentioning

confidence: 89%

An Equal-Order Finite Element Framework for Incompressible Non-Newtonian Flow Problems

Pacheco¹,

Steinbach²

2021

14th WCCM-ECCOMAS Congress

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Various materials of engineering and biomedical interest can be modelled as generalised Newtonian fluids, i.e., via an apparent viscosity depending locally on the flow field. In spite of the particular features of those models, they are often handled in practice by classical numerical techniques originally conceived for Newtonian fluids. Methods designed specifically for the generalised case are rather scarce in the literature, as well as their use in practical applications. As it turns out, tackling non-Newtonian problems with standard finite element formulations can have undesired consequences such as the induction of spurious pressure boundary layers and the emergence of natural boundary conditions not suitable for realistic flow scenarios. In this context, we introduce a novel framework that deals with those issues while maintaining simplicity and low computational cost. The new stabilised formulation is based on a modified system combining the continuity equation with a Poisson equation for the pressure and consistent pressure boundary conditions. A weak enforcement of the rheological law is employed to enable full consistency even for first-order finite element pairs. Simple numerical examples are provided to demonstrate the potential of our method in yielding accurate solutions for relevant problems.

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“…3. A further field of application for the locally modified finite element method are problems with moving or free boundaries formulated in Eulerian coordinates, such as cancer growth [15], lubricant film dynamics [16] or combustion problems [17].…”

Section: Impactmentioning

confidence: 99%

LocModFE: Locally modified finite elements for approximating interface problems in deal.II

Frei

Richter²,

Wick

2021

Software Impacts

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We describe the Software package LocModFE, which is an implementation of a locally modified finite element method for an accurate solution of interface problems. The code was originally developed in the finite element library Gascoigne 3d and has now been rewritten in the widerspread library deal.II. This makes the concept of locally modified finite elements accessible to many users all over the world. Applications range from simple Poisson interface problems over multi-phase flows to complex multi-physics problems, such as fluid-structure interactions. Being based on deal.II, it provides plenty of possibilities for future extensions, e.g., parallel computing, multigrid solvers or mesh adaptivity.

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Towards a complete numerical description of lubricant film dynamics in ball bearings

Cited by 15 publications

References 33 publications

Jet cooling for rolling bearings: Flow visualization and temperature distribution

Jet cooling for rolling bearings: Flow visualization and temperature distribution

An Equal-Order Finite Element Framework for Incompressible Non-Newtonian Flow Problems

LocModFE: Locally modified finite elements for approximating interface problems in deal.II

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