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.
The current study focuses on performance of the ferrofluid, Slider bearing which inclined through the porosity with lubrication based rough surface to examine the impacts of slip velocity. The magnetic fluid flow is directed by the Neuringer and Rosensweig model. The Christensen and Tonder models have been taken to derive the transverse roughness stochastically. The impacts of slip velocity are studied by using the Beavers and Joseph model. While the distribution of pressure measured by cracking from the equation of Reynolds which is stochastic. This is followed by a numerically using Simpson's 1/3 rule of the expression for the dimensionless load carrying capacity to study its correlation with the bearing system. A graphical study demonstrates the efficacy of load on magnetic, roughness and slip parameter. The outcome show, there is a positive correlation among the ability of load as well as left-ward skewed surface. The results were more prominent in the case of negative variance. This study focuses on finding a possible way of increasing load capacity by decreasing the slip parameter and porosity. An appropriate selection of magnetic strength may lead to some compensation for poor effect of porosity, slip and roughness.
This paper attempts to study a ferrofluid lubrication based rough sine film slider bearing with assorted porous structure using a numerical approach. The fluid flow of the system is regulated by the Neuringer-Rosensweig model. The impact of the transverse surface roughness of the system has been derived using the Christensen and Tonder model. The corresponding Reynolds’ equation has been used to calculate the pressure distribution which, in turn, has been the key to formulate the load carrying capacity equation. A graphical representation is made to demonstrate the calculated value of the load carrying capacity which is a dimensionless unit. The numbers thus derived have been used to prove that ferrofluid lubrication aids the load carrying capacity. The study suggests that the positive impact created by magnetization in the case of negatively skewed roughness helps to partially nullify the negative impact of the transverse roughness. Further investigation implies that when the Kozeny-Carman’s model is used, the overall performance is enhanced. The Kozeny-Carman’s model is a form of an empirical equation used to calculate permeability that is dependent on various parameters like pore shape, turtuosity, specific surface area and porosity. The success of the model can be accredited to its simplicity and efficiency to describe measured permeability values. The obtained equation was used to predict the permeability of fibre mat systems and of vesicular rocks.
This paper has attempted to scrutinize the bearing performance of a rough short bearing assisted by a ferrofluid with the help of numerical modelling of the Shliomis model. The transverse roughness is calculated stochastically by averaging the Christensen and Tonder models. A non-zero mean is assumed for the probability density function for the random variable that determines the roughness of the bearing which is symmetrical. This attempt is made to create a more pragmatic and applicable situation. Expressions that can signify a dimensionless form of pressure and bearing load carrying capacity are found using Reynolds' equation. The load carrying capacity equation is then solved numerically with the help of Simpson's 1/3 rule to analyze the impact on the bearing system. From the graphical representation, it can be concluded that ferrofluid lubrication based on the Shliomis model can significantly neutralize the negative effects of the bearing roughness on its load carrying capacity.
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