This investigation purposes to study the magnetic fluid based squeeze film behavior on transversely rough stepped plates with the influence of couple stress. Using the well-known stochastic model of Christensen and Tonder the roughness effect has been evaluated. The magnetic fluid flow model of Neuringer -Roseinweig has been adopted to obtain the influence of magnetization. The governing Reynolds' type equation is derived on the basis of stokes microcontinum theory for couple stress fluid. For the expression of pressure distribution, the stochastically averaged Reynolds' type equation is solved. which results in calculation of load carrying capacity. The graphical outcomes also presented in tabular form suggest that although the bearing suffers on account of roughness, the magnetization and couple stress effect save the situation, as this combination does not allow the load carrying capacity to fall rapidly. However, in the case of negatively skewed roughness the magnetization goes a long way in dropping the adversarial influence of roughness by selecting an appropriate value of couple stress parameter when variance (-ve) is involved. It is found that the couple stress effect, alone may not be sufficient to counter the negative influence of transverse roughness and porosity. However, in almost all situations the ferrofluid lubrication adds significantly to the positive effect of couple stress to overcome the adversarial outcome of porosity and roughness. Further, the position of step plays a vital role for an all-round enhancement of the bearing performance.
This study aims to explore the impact caused by change in viscosity and the roughness of a bearing surface on a ferrofluid lubrication of Shliomis model for short bearing. Based on this model and the Tipei (1962) model, a new resultant Reynolds equation has been found that shows thermal variation. The Christensen and Tonder models have been taken to derive the transverse roughness stochastically. An assumed mean has been taken for the probability density function with a non-zero value. This value is assigned to a random variable that measures the bearing’s surface roughness. This creates a more realistic situation that can have a lot of field applications. The model defines the problem mathematically while defining boundary conditions. It also uses the Simpson’s method to derive a conclusion. The results thus obtained are discussed in terms of pressure distribution and load bearing capacity. The graphical results obtained suggest that in the presence of magnetization, there is a significant enhance in the load bearing capacity. This positive effect can easily nullify the negative impact of the thermal effect. The short bearing approximation shown here is an example of the probable applications. Ferrofluids in the presence of magnetic fields significantly enhance the performance of a short bearing.
This paper aims to discuss the combined effect of longitudinal surface roughness and deformation on the behavior of a ferrofluid based squeeze film in conical plates. The Neuringer and Rosenweig model for ferrofluid flow has been considered resorting to an unusual form of the magnitude of the magnetic field. For the evaluation of surface roughness the stochastic model of Christensen and Tonder has been adopted. The concerned stochastically averaged Reynolds type equation is solved to obtain the pressure distribution which results in the calculation of load carrying capacity. The results establish that the positive effect of magnetization adds to the positive effect of longitudinal surface roughness under restricted circumstances. However, for an overall improved performance the bearing deformation must be addressed carefully as it has a significant effect on the squeeze film behavior. Besides, this article offers an additional degree of freedom through the magnitude of the magnetic field for designing the bearing system.
This investigation aims to study the performance characteristic of a Ferrofluid based squeeze film in infinitely long porous transversely rough rectangular plates considering the effect of deformation and slip velocity. The magnetic fluid flow model of Neuringer and Rosenweig has been used. Beavers -Joseph slip model has been adopted and the stochastic method of Christensen and Tonder has been deployed for roughness. The associated stochastically averaged Reynolds' type equation is solved. The results prove that the Ferrofluid lubrication offers a limited help in reducing the adverse effect of slip velocity, deformation and porosity, even in the case of negatively skewed roughness. However, the situation improves when variance (-ve) occurs and lower to moderate values of deformation is involved. Aside, this study shows that the slip coefficient has to be at the reduced level an improvement of the bearing performance.
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