International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol:12 No:05 12
I J E N S
IJENS © October 2012 IJENS - IJMME - 8484 - 121905
Thermal Effects on Hydrodynamic Journal
Bearings
Lubricated by Magnetic Fluids with Couple
Stresses
G.S. Nada
a,*
, G.T. Abdel-Jaber
b
, H. S. Abdo
c
a
Department of Mechanical Engineering, Higher Technological Institute, Tenth of Ramadan city, Sharkia,
Egypt.
b
Department of Materials Engineering & Design, Qena Faculty of Engineering, South Valley University, Qena,
Egypt.
c
Department of Materials Engineering & Design, Aswan Faculty of Energy Engineering, Aswan University,
Aswan, Egypt.
Abstract -- Based on the momentum and continuity
equations for ferrofluid under an applied magnetic field,
assuming linear behavior for the magnetic material of the
ferrofluid, and using carrying current concentric finite wire
magnetic field model, the magnetic force was calculated. A
modified Reynolds equation is obtained. It is simultaneously
solved with the energy equation numerically by the finite
difference technique. The pressure and temperature
distributions have been obtained under various couple stress
parameter. The solution renders the bearing performance
characteristics namely; load carrying capacity, attitude angle
of the journal center, frictional force at the journal surface,
friction coefficient and bearing side leakage.
Based on the micro-continuum theory, and by taking into
account the couple stresses due to the microstructure additives,
the effects of couple stresses on the performance of a finite
hydrodynamic journal bearings were studied. The results have
shown that fluids with couple stresses are better than
Newtonian fluids.
Index Term-- Magnetized journal bearings; Ferrofluid
lubricants; Static characteristics; Couple stresses.
I. INTRODUCTION
Recent solutions that devoted to the study of the lubricant
properties have been devised with other parameter being
considered in predicting the journal bearing behavior, such
as load variation, type of lubricant flow region (laminar or
turbulent flow), type of lubricant (Newtonian or non
Newtonian), inertia and acceleration effects, and magnetic
effect in the case of using ferrofluid [1].
Most of these investigations did not consider the thermal
aspects (used isothermal solution) and neglecting viscosity
variation with change of temperature. In the practical cases,
increasing in load
capacity leads to increasing the friction force and
consequently increasing the temperature. Although many
aspects of bearing performance are fully solved, there are
still needs for further investigations of the thermal effects on
the bearing performance.
The ferrofluid consists of three basic components namely; a
base fluid or carrier fluid, ferromagnetic particles and a
coating on each particle [2]. The carrier fluid may be a
diester base, a hydrocarbon base, an ester base and even a
water base; other base fluids, less important for lubrication,
are also available.
Ferrolubricants behave like ferrofluids; therefore, these
lubricants can be controlled remotely by a magnetic field
and they can be positioned exactly where, and only where,
wear would be expected to take place. The ability to
position the lubricant externally is valuable in clean-
environment applications, because the lubricant does not
contaminate the environment. The greatest advantages of the
magnetic-oil-lubricated bearings are a long life, low friction
and reduced noise.
The study of the thermal aspects needs simultaneous
solution of the basic Reynolds' equation coupled with the
energy equation and heat transfer, thermal distribution
problems may also be considered, thus the solution is
assumed that the total viscous heating is dissipated in the oil
only with negligible influence of the environmental
conditions, assuming no heat conducted to or from the oil
film to surfaces (adiabatic case).
Applications of ferrofluids are usually based on their
controllability by an external magnetic force [3]. Among the
various applications in engineering, are those taking
advantage of the possibility of collecting and holding firmly
small quantities of such fluids in region with highly focused
magnetic fields. From this point of view, the ferrofluids
were used in liquid seals [4, 5, 6], hydrodynamic braking [7]
and also in the lubrication of journal bearings with small or
non-existing side leakage [8, 9, 10].
By taking into account the couple stresses due to the
microstructure additives, the effects of couple stress on the
performance of a finite journal bearing, are presented.