The present work deals with study and analysis of a symmetric hybrid journal bearing compensated with constant flow valve restrictor operating with micropolar fluid from stability point of view. The effect of micropolar parameters on the stability of this journal bearing system is presented on the basis of nonlinear transient model. Finite element method has been used to solve modified Reynolds’ equation for the flow of micropolar fluid through the bearing. Computations are done for the static and dynamic characteristics of hole-entry hybrid journal bearing system. The stability characteristics in terms of critical mass of journal, threshold speed, and frequency of whirl are obtained for journal bearing system operating with Newtonian and micropolar fluids and are compared together. Paths of the journal center in the form of trajectories have also been plotted using the journal center coordinates obtained after solving nonlinear equation of motion by fourth-order Runge–Kutta method to find the stability margin of the considered bearing configuration more precisely and easily. Results indicate that micropolar effect causes significant increase in stability margin of the hybrid journal bearing system especially at higher loads. The results also indicate that lubricant flow through the bearing and type of lubricant should be decided in an appropriate manner for the stability of the constant flow valve compensated hybrid journal bearing system.
The present study discusses the effect of micropolar parameters on the stability of symmetric hole-entry hybrid journal bearing system compensated with capillary restrictor. Finite element method has been used to solve the modified Reynolds equation for the flow of micropolar lubricant through the bearing. The linearized and nonlinear equations of motion are solved numerically using fourth order Runge-Kutta Method at each integration time step. Solution of these equations provides the locus of moving journal center and the journal trajectories are plotted with the help of a computer program. A Routh-Hurwitz stability criterion has been applied to calculate the critical mass of the journal to analyze the stability of journal. A comparative analysis for linear and nonlinear models considering Newtonian and micropolar lubricants has been done. The results obtained indicate that micropolar parameters affect the performance as well as the stability margin of the hybrid journal bearing system considerably and nonlinear analysis provides quick response as compared to linear one.
The influence of bearing elasticity and micropolar parameters of micropolar lubricant on the performance and stability margin of a smooth hole-entry hybrid journal bearing system compensated with capillary restrictor has been presented in this paper. Isothermal conditions are assumed for the operation of journal bearing system. Finite element method is used to obtain the coupled solution of modified Reynold's equation and three dimensional elasticity equations. Performance characteristics are calculated in terms of minimum fluid film thickness, maximum fluid film pressure, attitude angle, critical journal mass, threshold speed and frequency of whirl for various values of design parameters like external load, restrictor design parameter, coefficient of deformation and micropolar parameters of the micropolar lubricant. The results presented in this study may be quite useful in the selection of the appropriate combination of the restrictor design parameter and elasticity of bearing so as to ensure the design of a stable bearing operating with micropolar lubricant. There exist an optimum value of restrictor design parameter (C S2) where the performance characteristics and stability margin are maximum for rigid as well as flexible bearing operating with Newtonian and micropolar lubricants.
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