Purpose Bearing performance characteristics, such as stiffness and load capacity, are related to the viscosity of the fluid circulating through the gap. Nanoparticle additives in lubricant are one way to enhance of the viscosity. This study aims to investigate the effect of nanoparticle additives on the thermohydrodynamic performance of journal bearing with different bearing parameters. Design/methodology/approach The temperature distribution is modeled using a three-dimensional energy equation. The velocity components are calculated on the pressure distribution governed by Dowson’s equation. Moreover, the heat transfer between the journal and lubricant is modeled with Fourier heat conduction equation. On the other hand, the viscosity equation is derived for Al2O3 nanoparticles as a function of the volume ratio and the temperature. An algorithm based on the finite difference method is developed, and a serial simulation is performed for different parameters and different volume ratio of nanoparticle. Findings With the increase in the nanoparticle volume ratio, the maximum temperature decreases for the lower clearance values, but the addition of the nanoparticle influence on the maximum temperature reverses when the clearance grows up. The nanoparticle additives increase further the maximum temperature for higher values of L/D ratios. Moreover, the effects of the nanoparticle additives on the pressure are stronger at high eccentricity ratios for all bearing parameters. Originality/value This paper provides valuable design parameters for journal bearing with lubricant containing the nanoparticle additives.
Aerostatic journal bearing applications mainly focus on high-speed precision machining, so predictable and smooth functioning of the system is crucial. Air is supplied to the bearing through a number of orifices and any unevenness in the size of these orifices will affect the performance of the system. The size difference could be due to manufacturing error and/or blockage of the orifice because of foreign materials in the air system. In this study, the performance of an aerostatic bearing with a partially blocked orifice is numerically investigated. Firstly, the airflow in the bearing clearance was modeled with Reynolds equation and this equation was numerically solved with the finite difference and differential transform hybrid method to obtain the pressure distribution. Then, the force and the stiffness are calculated from the pressure distribution for different blockage cases of the orifice and different blockage ratios. The results show that the partial blockage of the orifice significantly changes the performance of the system in a positive or a negative way according to the feeding hole position, and the blockage ratio also affects performance.
Performance parameters such as critical speed and stability are affected by various design parameters such as supply pressure, clearance between shaft and rotor (air film thickness), bearing diameter and length etc. for externally pressurized gas lubricated bearing. Literature about effects of supply pressure is generally analyzed with clearances which are lower than 100 μm. Externally pressurized gas lubricated bearings with small clearance have some practical disadvantages such as difficulties in manufacturing process and price. So, externally pressurized air bearing may become widespread with usage of higher values of clearance in the bearing. However, there is limited number of study investigating the dynamics of externally pressurized air bearing with high values of clearance. In this study the effect of supply pressure was investigated on the dynamic of an externally pressurized gas lubricated bearing with increased clearance. The flow between shaft and rotor was modeled using Reynold’s Equation which is known fluid equation of motion. And this model was solved by Alternating Direction Implicit (ADI) numerical solution method. Dynamics of the rotor was investigated for different elevated (increased) clearances.
In this study, the pneumatic hammer instability phenomena in the aerostatic journal bearing–rotor system is analysed and discussed for different feeding hole configurations theoretically and experimentally. The influences of the configuration of the feeding holes on the nonlinear dynamics of the system are also investigated. The air flow between the surfaces is modelled with Reynold’s equation and it is numerically solved with differential transform and finite difference hybrid method. Three different aerostatic bearings are modelled and simulated to investigate the ınfluences of the configuration of the holes for different angular speeds. An experimental test rig is designed and tested for different rotor speeds to validate the obtained numerical results. The dynamic response of the system is analysed using waterfall plots, bifurcation diagrams, orbit plots, phase portrait and Poincaré map, which are drawn to determine the pneumatic hammer instability region of the modelled system. The results reveal a nonlinear dynamic response of the rotor centre. In addition, the analysis shows that the feeding hole configuration affects the rotor dynamics and the pneumatic hammer instability region.
Hydrostatic journal bearings are recommended for supporting shafts operating at high speeds and under heavy loads in the industry. In the journal bearings, lubricant viscosity decreases with increasing temperature at high rotation speeds and hence, the fluid between the surfaces should be circulated using a pump to cool the lubricant. However, the lubricant supplying between the surfaces at the high flow rate causes the whirl instability and vibrations problems in the bearing-shaft system. These instability problems give rise to significant damage on the system during operating at the high speeds and under heavy loads. As a solution to this problem, it could be suggested to control the variation of the lubricant viscosity concerning the temperature by adding nanoparticle. In the present work, the effects of the lubricant with nanoparticle additives on the load carrying capacity of a hydrostatic journal bearing are theoretically investigated. The fluid film flow between the bearing and rotor surfaces are modelled with Reynolds equation and the viscosity term in Reynold's equation is defined as a function which depends on the nanoparticle properties. Then, the pressure distribution is obtained with solving the film flow equation and the load capacity is calculated for different nanoparticle parameters using this pressure distribution. The results show that the usage of the lubricant with nanoparticle increases the load performance of the hydrostatic journal bearing and the influences of the nanoparticle size on the load performance is more dominant for high volumetric ratio.
GirişBasınçlı hava yatakları ile desteklenmiş yatak-rotor sistemlerinde, yatak ve rotor yüzeyleri arasındaki ince yağlayıcı film, yatak üzerine yerleştirilen besleme delikleri üzerinden iletilen basınçlı hava sayesinde oluşturulur. Yatak ve rotor yüzeyleri arasındaki ince hava filmi rotoru destekleyerek iki yüzeyin temassız çalışmasını sağlar. Basınçlı hava yatakları ile desteklenmiş yatak-rotor sistemlerinde, havanın viskozitesinin sıvı yağlayıcılara göre düşük olması nedeniyle yatak ve rotor yüzeyleri arasındaki sürtünme kayıpları da düşük olmaktadır. Dolayısıyla, basınçlı hava yatakları yüksek hızlarda dönen rotorların yataklanması için üstünlük sağlayabilmektedir. Bunun yanı sıra, birçok uygulamada sıklıkla kullanılan rulmanlarla kıyaslandığında yatak ve rotor yüzeylerinin temas etmeden çalışması, yatakrotor sistemi elemanlarının ömrünü de uzatmakta ve bakım maliyetlerini de düşürmektedir.Basınçlı radyal hava yatakları ile desteklenmiş yatak-rotor sistemlerinde, yatak ve rotor yüzeyleri arasındaki ince yağlayıcı film rotoru taşımaktadır. Yüzeyler arasındaki ince hava filminin hareketi, yatak-rotor sisteminin geometrik parametrelerine ve çalışma şartlarına bağlı olarak ifade edilen Reynold's denklemi ile modellenmektedir Dolayısıyla basınçlı hava yatağının geometrik parametreleri olan radyal boşluk (c), yatak boy/çap oranı (L/D), yatak üzerindeki besleme deliği sayısı ve bu besleme deliklerinin geometrisi ve çalışma parametreleri olan besleme basıncı ve rotorun açısal hızı yüzeyler arasındaki akışı etkilemektedir [1]. Bunların yanı sıra, yatak ve/veya rotor yüzeylerinin pürüzlülüğü de yatak ve rotor arasındaki radyal boşluğu değiştirdiği için, yatak ve rotor yüzeyleri arasındaki akışı etkilemektedir. Yatak ve rotor yüzeyleri arasındaki havanın hareketini etkileyen her bir parametre de yatak-rotor sisteminin dinamiğini doğrudan etkilemektedir[1]- [5]. Literatürde, bu geometrik parametrelerden radyal boşluk miktarı, yatak boy-çap oranı, besleme deliği geometrisinin yatak-rotor sisteminin dinamiğine olan etkilerinin araştırılması üzerine çalışmalar bulunmaktadır. Bu çalışmalarda, yatak ve rotor arasındaki radyal boşluk miktarının, yatak boy-çap oranının (L/D), çalışma koşullarının ve besleme deliği geometrisinin yatakrotor sistemi dinamiğine etkileri detaylı olarak araştırılmıştır. Majumdar [6], sıralı dizilmiş besleme deliklerine sahip bir basınçlı hava yatağının teorik olarak analiz etmiştir. Çalışmasında basınçlı hava yataklarının tasarım parametreleri olarak adlandırdığı, yatak boy-çap oranı ve eksantriklik oranının yatak ve rotor yüzeyleri arasındaki ince hava filminin oluşturduğu basınç dağılımına ve yatağın yük taşıma kapasitesine olan etkisini incelemiştir. Yaptığı çalışmada yatak ve rotor yüzeyleri arasındaki havanın akışını eksenel ve çevresel akış olarak iki parçada inceleyerek, pertürbasyon metodu ile basınç dağılımlarını elde etmiştir. Han ve diğ. [7], 10 μm radyal boşluğa sahip bir basınçlı hava yatağının boy-çap oranı ve besleme parametrelerinin (besleme deliği geometrisi,
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