Citation: Patel, R.; Khan, Z.A.; Saeed,
A.; Bakolas, V. CFD Investigation of
Reynolds Flow around a Solid
Obstacle. Lubricants 2022, 10, 150.
https://doi.org/10.3390/
lubricants10070150
Received: 12 May 2022
Accepted: 30 June 2022
Published: 11 July 2022
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lubricants
Article
CFD Investigation of Reynolds Flow around a Solid Obstacle
Ruchita Patel
1
, Zulfiqar Ahmad Khan
1,
* , Adil Saeed
1
and Vasilios Bakolas
2
1
NanoCorr, Energy & Modelling (NCEM) Research Group, Department of Design and Engineering,
Bournemouth University, Poole BH12 5BB, UK; rpatel@bournemouth.ac.uk (R.P.);
asaeed4@bournemouth.ac.uk (A.S.)
2
Schaeffler Technologies AG & Co. KG (Schaeffler Group), 91074 Herzogenaurach, Germany;
bakolvsi@schaeffler.com
* Correspondence: zkhan@bournemouth.ac.uk
Abstract: The Reynolds equation defines the lubrication flow between the smooth contacting parts.
However, it is questionable that the equation can accurately anticipate pressure behavior involving
undeformed solid asperity interactions that can occur under severe operating conditions. Perhaps,
the mathematical model is inaccurate and incomplete, or some HL (hydrodynamic lubrication) and
EHL (elastohydrodynamic lubrication) assumptions are invalid in the mixed lubrication region. In
addition, the asperity contact boundary conditions may not have been properly defined to address
the issue. Such a situation motivated the recent study of a 3D CFD investigation of Reynolds flow
around the solid obstacle modelled in between the converging wedge. The produced results have
been compared to analytical and numerical results obtained by employing the Reynolds equation.
The validated CFD simulation is compared with the identical wedge, with cylindrical asperity at
the center. A significant increase in pressure has been predicted because of asperity contact. The
current study shows that the mathematical formulation of the ML problem has shortcomings. This
necessitates the development of a new model that can also include fluid flow around asperity contacts
for the accurate prediction of generated pressure. Consequently, sustainable tribological solutions for
extreme loading conditions can be devised to improve efficiency and component performance.
Keywords: mixed lubrication (ML); computational fluid dynamics (CFD); numerical simulation
1. Introduction
Any manufactured surface will be rough to some degree, which can cause friction and
wear on dynamically interacting surfaces under extreme loading conditions, resulting in
higher maintenance and replacement costs. The micro- and nano-features on the surface
are called asperities, and their sub-interactions in lubricated contact cause intense pressure
that significantly reduces the fatigue life of the lubricated components [1]. Energy efficiency
is crucial for businesses and society, due to limited resources and pollution issues. Various
reports state that tribological contacts consume 23% of global energy [2]. For example, a
piston ring and a cylinder liner pair in an IC engine is a major source of oil consumption, and
works under a mixed lubrication (ML) region. This part consumes half of the fuel energy
needed to overcome the frictional losses [3]. Additionally, CO
2
emissions are proportional
to energy consumption. Therefore, further developments in tribological performance will
reduce the economic losses caused by friction and wear, and will have a positive impact on
the environment. Proper lubrication of the contacting surfaces is important to reduce power
loss, and to extend the life of all mechanical components, especially the ones working under
extreme loading conditions. Tribology solutions to reduce friction and wear have come a
long way for decades.
In the design of lubricated engineering components, a numerical simulation of the
Reynolds equation has been widely employed. Reynolds simplified the equation of hydro-
dynamics to define the lubrication mechanism, and established the first partial differential
Lubricants 2022, 10, 150. https://doi.org/10.3390/lubricants10070150 https://www.mdpi.com/journal/lubricants