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This article is cited in 3 scientific papers (total in 3 papers)
Mathematical Modelling
A simulation of the thermal state of heavily loaded tribo-units and its evaluation
Yu. Rozhdestvensky, E. Zadorozhnaya South Ural State University, Chelyabinsk, Russian Federation
Abstract:
The thermal state of the elements of heavily loaded tribo-units
is among the most important parameters affecting their performance.
The temperature of the lubricating layer of bearings
determines to a large extent
their load-bearing capacity.
The heat balance equation used
to estimate the temperature of friction pairs
fails to yield
the temperature fields and the regions of their maximum values.
This fact makes our problem important.
We examine a mathematical model and a method for calculating
the thermal state and thermohydrodynamic characteristics
of heavily loaded sliding bearings,
taking into account the non-Newtonian properties of the fluid
as well as the heat exchange processes
between the lubricating layer
and the surrounding moving surfaces of tribo-units.
To solve the energy equation,
we propose to use finite difference approximation methods.
To create the difference analogs of the energy equations
for some structural elements and thin lubricant layers,
we use the Pismen–Reckford scheme of implicit alternating directions.
We present the calculated hydromechanical characteristics
of the connecting rod bearing of a heat engine.
We obtain three-dimensional distributions of temperature in the lubricant.
The results show that,
if we allow for convective heat transfer in the radial direction,
the processes of heat exchange
between the lubricating layer and the surrounding moving surfaces
enable us to determine more accurately
the mean lubricant temperature
and the thermal stress of a tribo-unit as a whole.
Our method can be used to assess the performance and efficiency
of heavily loaded tribo-units of piston and rotary machines.
Keywords:
bearing; generalized energy equation; partial differential equations; boundary value problems.
Received: 25.09.2014
Citation:
Yu. Rozhdestvensky, E. Zadorozhnaya, “A simulation of the thermal state of heavily loaded tribo-units and its evaluation”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 7:4 (2014), 51–64
Linking options:
https://www.mathnet.ru/eng/vyuru237 https://www.mathnet.ru/eng/vyuru/v7/i4/p51
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