Abstract
An endeavour has been made to compare the performance of a Jenkins model based magnetic squeeze film in curved rough circular plates considering slip velocity for different shapes of the surfaces. Three different shapes (exponential, hyperbolic, secant) have been taken for comparison. Beavers and Joseph's slip model has been considered to analyze the effect of slip. The statistical averaging model of Christensen and Tonder has been adopted to study the effect of surface roughness. The concerned generalized Reynolds type equation is solved to obtain pressure distribution leading to the calculation of load carrying capacity. The results presented in graphical forms establish that Jenkins model modifies the performance in the case of Neuringer-Rosensweig model. The Jenkins model based ferrofluid lubrication moves to a certain extent in reducing the adverse effect of roughness and slip velocity. The extent is more in the case of exponential shape. It is interesting to note that for the exponential shape the combined effect of magnetism and negatively skewed roughness is relatively more, even for higher values of slip parameter.
Highlights
Ferrofluid, a kind of stable colloid mainly, consisting of magnetic nano particles, surfactant and liquid carrier, has both the magnetism of solid magnetic material and fluidity of liquid
It is found that Jenkins model modifies the performance in the case of NeuringerRosensweig model based magnetic flow
The combined effect of surface roughness and slip velocity is relatively adverse. This investigation makes it clear that for an improved performance of the bearing system the slip parameter is required to be kept at minimum
Summary
Ferrofluid, a kind of stable colloid mainly, consisting of magnetic nano particles, surfactant and liquid carrier, has both the magnetism of solid magnetic material and fluidity of liquid. One of the most important properties of the magnetic fluid is that it can be retained at a desired location by an external magnetic field. Owing to the properties of magnetic fluid, it is found to be useful in engineering, science and biomedical applications. Ferrofluid is used in sealing of hard disc drives, rotating-ray tubes under engineering application. The flow behaviour of magnetic fluids has been analytically studied, basically, by using two models, one given by Neuringer- Rosensweig and the other one proposed by Shliomis. Jenkins modified the model of Neuringer- Rosensweig. [912] analyzed the steady-state performance of bearings with Jenkins model based magnetic fluid flow. It was manifest that the load carrying capacity of bearing system increased with increasing magnetization of the magnetic fluid
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