Unit-5 Sliding Contact Bearings A bearing supports a loaded rotating member (e.g. a shaft) and transmits the load from the rotating member to a stationery member such as frame or housing. Bearings permit relative motion of members in one or two directions. The relative motion is one of Sliding in Sliding-Contact Bearings. Rolling contact bearings have point or line contact whereas slidingcontact bearing have surface contact Dr B K Gupta RKGIT/Sliding Contact Bearings/01 1 Sliding Contact Bearings Classification There are in general three ways of classification: - Based on direction of load carried - Based on type of lubrication - Based on lubrication mechanism Dr B K Gupta RKGIT/Sliding Contact Bearings/01 2 Sliding Contact Bearings Classification based on the direction of load: – Radial bearings support loads which are perpendicular to the axis of the shaft. – Thrust bearings support axial loads. – Combined Radial and thrust Bearings support both radial and axial loads. Dr B K Gupta RKGIT/Sliding Contact Bearings/01 3 Sliding Contact Bearings Radial Bearing (Fig. 5.1) Radial Load is transferred through lubricant film between journal and bearing Dr B K Gupta RKGIT/Sliding Contact Bearings/01 4 Single Collar and Multiple Collar Thrust Bearings (Fig. 5.2a and 5.2b ) Thrust Load is transferred through lubricant film between thrust collar on rotor and thrust collar on housing Dr B K Gupta RKGIT/Sliding Contact Bearings/01 5 Combined radial and thrust bearing (Fig. 5.3) The bearing carries both radial and thrust load. Dr B K Gupta RKGIT/Sliding Contact Bearings/01 6 Bearing Classification based on Type of Lubrication (Fig. 5.4a, 5.4b, 5.4c) The type of lubrications means the extent to which the contacting surfaces are separated in a shaft-bearing combination The classification includes - Thick film lubrication (a) : also called Hydrodynamic lubrication - Thin film lubrication (b) : some metal to metal contact - Boundary lubrication (c) : almost continuous surface contact (a) Dr B K Gupta (b) RKGIT/Sliding Contact Bearings/01 (c) 7 Bearing Classification based on type of lubrication (Fig. 5.5) Type of lubrication Coefficient of friction VS Bearing Modulus Dr B K Gupta RKGIT/Sliding Contact Bearings/01 8 Bearing Classification based on Lubrication Mechanism a. b. c. d. e. Hydrodynamic lubrication Hydrostatic lubrication Elastohydrodynamic lubrication Boundary lubrication Solid film lubrication Dr B K Gupta RKGIT/Sliding Contact Bearings/01 9 Lubrication Mechanism: Hydrodynamic Lubrication Dr B K Gupta RKGIT/Sliding Contact Bearings/01 10 Lubrication Mechanism: Hydrostatic Lubrication (Fig. 5.7) Hydrostatic lubricated bearings are supplied externally pressurized lubricant (gas or liquid). They can work from very low speeds to very high speeds Hydrostatic lubrication Dr B K Gupta RKGIT/Sliding Contact Bearings/01 11 Lubrication Mechanism : Elastohydrodynamic Lubrication (Fig. 5.8) The oil film thickness is very small because the contact pressures are very high. To reduce wear and prevent metal to metal contact, the surface hardness and finishes are high. Examples of this kind of lubrication are gear teeth, rolling element bearings and cams. Dr B K Gupta RKGIT/Sliding Contact Bearings/01 12 Lubrication Mechanism Boundary lubrication When the speed of the bearing is inadequate, less quantity of lubricant is delivered to the bearing. An increase in the bearing load, or an increase in the lubricant temperature results in drop in viscosity – any one of these may prevent the formation of thick film lubrication and establish continuous metal-tometal contact extensively. Often bearings operating in such situations are called boundary lubricated bearings. Dr B K Gupta RKGIT/Sliding Contact Bearings/01 13 Lubrication Mechanism Solid film lubrication For extreme temperature operations, ordinary mineral oils are not satisfactory. Solid film lubricants such as graphite, molybdenum disulfide or their combinations which withstand high operating temperature are used. These types of bearings are common in furnace applications, or trunnion bearings of liquid metal handling systems, hot drawing mills etc. Dr B K Gupta RKGIT/Sliding Contact Bearings/01 14 Hydro -dynamically Lubricated Bearings Among all the sliding bearings, hydro-dynamically lubricated radial bearings (called sleeve or journal bearings) and thrust bearings find wide applications. Hence these bearings will be discussed in more detail Dr B K Gupta RKGIT/Sliding Contact Bearings/01 15 Important Milestones in the Development of Theory and Design of Hydro-dynamically Lubricated bearings 1871. Newton Law of Viscosity 1883. Petroff’s Equation for Bearing Friction Torque 1883, 1885. Tower’s Reports on Friction Experiments 1886. Reynolds Analytical Investigations 1932. McKee and McKee, Journal Bearing Friction in the Regime of Thin Film Lubrication Dr B K Gupta RKGIT/Sliding Contact Bearings/01 16 Newton’s Law of Viscous Friction Viscosity is a very important physical property of a lubricant in the design and operation of sliding bearings. Viscosity is the internal friction that resists the motion in fluids. Consider an unloaded plate of area A m2 moving parallel to a stationary horizontal surface with a velocity of U m/s (Fig. 5.9). Further, the space between the plates is filled with a fluid Area A Fig. 5.9 Dr B K Gupta RKGIT/Sliding Contact Bearings/01 17 Newton’s Law of Viscous Friction (Contd.) Area A Fig. 5.9 Dr B K Gupta RKGIT/Sliding Contact Bearings/01 18 Units of Viscosity Dr B K Gupta RKGIT/Sliding Contact Bearings/01 19 Units of Viscosity (Contd.) 1cP = 1 mPa-s = 10-9 MPa-s = 0.145 μ reyn (5.3) The absolute viscosity of water at 200 C is 1.0020 cP that is about 1 cP The absolute viscosities of most lubricating oils fall in the range of 5-400 cP The absolute viscosity of liquids decreases with increasing temperature whereas for gases, it increases with increasing temperature A plot of variation of absolute viscosity with temperature for a number of typical lubricating oils is given in Fig. 5.10 Dr B K Gupta RKGIT/Sliding Contact Bearings/01 20 Fig. 5.10 Variation of Absolute Viscosity with temperature of SAE graded oils Dr B K Gupta RKGIT/Sliding Contact Bearings/01 21 Assumptions made in the derivation of viscous law: - The adhesion between the oil and the plates is perfect - There is no transverse force; and - The dimensions of the plates are large enough to neglect the edge effects. Dr B K Gupta RKGIT/Sliding Contact Bearings/01 22 Kinematic Viscosity The concept of viscosity or absolute viscosity is based on viscous friction, the measurement of which is rather difficult. For liquids, a simple alternative has been devised in the form of kinematic viscosity which is defined as (dynamic viscosity/mass density). Symbol ν (a Greek alphabet pronounced as ‘nu’) is used for kinematic viscosity. Dr B K Gupta RKGIT/Sliding Contact Bearings/01 23 Kinematic Viscosity (Contd.) The SI unit for kinematic viscosity is [m2/s]. The cgs unit for kinematic viscosity is [cm2/s] and it is called stokes, St, named after Gabriel Stokes. However, it is generally expressed in centistokes (cSt): 1 St = 1 cm2 s-1 = 10-4 m2 s-1 and 1 cSt = 1 mm2 s-1 = 10-6 m2 s-1 (5.4) Water at 200 C has a kinematic viscosity of about 1 cSt;; and as stated earlier the absolute viscosity of water at 200 C is also about 1 cP. Dr B K Gupta RKGIT/Sliding Contact Bearings/01 24 Measurement of Kinematic Viscosity The kinematic viscosity is measured as time required for a specified volume of liquid to pass through either a capillary tube or a short-tube orifice of standard dimensions. Thus there are two types of viscometers: - Capillary viscometers, e.g. , Ostwald viscometer - Efflux viscometers based on short tube orifice, for example: • Saybolt universal viscometer • Redwood viscometer • Engler viscometer Dr B K Gupta RKGIT/Sliding Contact Bearings/01 25 Saybolt Universal Viscometer Saybolt viscometer is an efflux type of viscometer and it is widely used in USA for determining the kinematic viscosity of oils. The viscometer is immersed in a constant temperature bath. When the temperature stabilizes, the time taken by a 60-ml sample to pass through a 12.25 mm long, 1.76-mm diameter nozzle is noted. Fig. 5.11 Dr B K Gupta RKGIT/Sliding Contact Bearings/01 26 Experimental Determine of Visosity Dr B K Gupta RKGIT/Sliding Contact Bearings/01 27 Experimental Determine of Visosity (Contd.) For petroleum based lubricating oils, the density at 15.60 C is 0.89 and as such ρ = 0.89 – 0.00063(T-15.6) (5.12) Thus μ(in cP) at T0C = (0.22s – 180/s)(0.89 – 0.00063 (T-15.6)) (5.7) where Saybolt seconds, s, has also been measured a T0C. Dynamic Viscosities may be determined at two reference temperature as above or under high shear conditions, for example, the cone on plate or cylinder viscometer in which the viscous shear stress is measured as friction torque between two cylinders ( see next section) Dr B K Gupta RKGIT/Sliding Contact Bearings/01 28 Variation Viscosity with Temperature With the viscosity determined at two reference temperatures, the viscosity for intermediate temperatures is calculated using standard interpolation functions. Variation of viscosity with temperature for several SAE Viscosity Single Grade Oils is given in Fig. 5.10. The variation for viscosity with temperature for SAE Multigrade Oils is given in Fig. 5.12. Variation of viscosity with temperature for several ISO VG Grade Oils is given in Fig. 5.13. Dr B K Gupta RKGIT/Sliding Contact Bearings/01 29 Fig. 5.12 Viscosity-temperature curves for multiviscosity lubricants derived from known viscosities at 40 and 100 deg C Dr B K Gupta RKGIT/Sliding Contact Bearings/01 30 Fig. 5.13 Viscosity-temperature curves for ISO VG graded oils Dr B K Gupta RKGIT/Sliding Contact Bearings/01 31 Multi-grade Oils and Viscosity Index SAE 10W30 is a multi-grade oil and SAE 30 is a monograde oil. The first umber (10W) refers to the viscosity grade at low temperature (W from Winter), whereas the second number (30) refers to viscosity grade at high temperature. In many cases the variation of viscosity with temperature is expressed in terms of Viscosity Index (VI). It was observed that crude oils from Pennsylvania had least change in viscosity with temperature whereas Gulf Coast Oils had the greatest change in viscosity with temperature. Dr B K Gupta RKGIT/Sliding Contact Bearings/01 32 Viscosity Index (Contd.) Pennsylvania oil was assigned a Viscosity Index of 100 and the Gulf oil’s VI = 0. Let U be the VI of the same oil is then determined as follows: Fig. 5.141Graphical explanation of viscosity index Dr B K Gupta RKGIT/Sliding Contact Bearings/01 33 Viscosity Index (Contd.) Dr B K Gupta RKGIT/Sliding Contact Bearings/01 34 Kinematic Viscosity of ISO VG Oils The classification in 18 grades on the basis of kinematic viscosity at 400 C and VI are given in ISO 3448. Variation of kinematic viscosity with temperature of 14 out of 18 grades are given in Fig. 5.13. The kinematic viscosity has an accuracy of +10%. For example an ISO VG32 oil has the kinematic viscosity of 32 cSt + 10% at 400C. The viscosity index of petroleum oils can be increased by mixing appropriate additives. Dr B K Gupta RKGIT/Sliding Contact Bearings/01 35 Pressure Effects on Viscosity The viscosity of lubricating oils increases with pressure. This effect is important in elastohydrodynamic lubrication. However, the lubricant pressures encountered in sliding bearings are not so high to influence the viscosity significantly. Dr B K Gupta RKGIT/Sliding Contact Bearings/01 36 Desirable Properties of a Lubricant Properties of a good lubricant are: 1. It should give rise to low friction. 2. It should adhere to the surface and reduce the wear. 3. It should protect the system from corrosion. 4. It should have good cleaning effect on the surface. 5. It should carry away as much heat from the surface as possible. 6. It should have thermal and oxidative stability. 7. It should have antifoaming ability. 8. It should be compatible with seal materials. 9. It should be inexpensive and available in plenty. Dr B K Gupta RKGIT/Sliding Contact Bearings/01 37