Original scientific paper
https://doi.org/10.31217/p.38.1.9
New mathematical models for the load factor of slip pairs of the ship propulsion complex for non-Newtonian lubricants
Oleksandr Kryvyi
; National University "Odessa Maritime Academy", Department of Higher Mathematics
*
Mykhaylo Mykhaylo Miyusov
orcid.org/0000-0001-6430-4677
; НАЦІОНАЛЬНИЙ УНІВЕРСИТЕТ "ОДЕСЬКА МОРСЬКА АКАДЕМІЯ"
Mark Kryvyi
; НАЦІОНАЛЬНИЙ УНІВЕРСИТЕТ "ОДЕСЬКА МОРСЬКА АКАДЕМІЯ"
* Corresponding author.
Abstract
The method of boundary variation was applied to the solution of the boundary value problem with respect to the Reynolds differential equation for the lubricating layer in the sliding bearings of ship power plants and auxiliary ship equipment, which made it possible to obtain analytical representations for the hydrodynamic pressure, shear stresses, as well as the integral characteristics of the lubricating layer. This made it possible to build new, easy-to-use mathematical models for the load factor (carrying force factor) of the sliding pairs of the ship propulsion complex, considering the non-Newtonian properties of lubricants, i.e. in the case of the dependence of dynamic viscosity on pressure and temperature. Mathematical models take into account geometric parameters of bearings, operational parameters: relative radial clearance and relative eccentricity, angular velocity; as well as viscosity characteristics of lubricants, in particular, dynamic viscosity and piezo coefficient of viscosity of lubricants. A criterion for the applicability of lubricants for given operating characteristics and bearing parameters has been developed, which uses the viscosity characteristics of lubricants. The research results are illustrated in the form of tables and graphs.
Keywords
sliding pair; Reynolds equation; ships’ propulsion system; load factor; non-Newtonian lubricants; mathematical models.
Hrčak ID:
318522
URI
Publication date:
28.6.2024.
Visits: 47 *