Page 182 - Tribology in Machine Design
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168  Tribology in machine design


                                the secondary seal and specific tests show that a fretted installation may
                                leak more rapidly. Fretting is initiated by adhesion and those conditions
                                that reduce adhesion usually mitigate fretting.


                                4.15.7. Parameters affecting wear
                                Three separate tests are usually performed to establish the performance and
                                acceptability of seal face materials. Of these the most popular is the PV test,
                                which gives a measure for adhesive wear, considered to be the dominant
                                type of wear in mechanical seals. Abrasive wear testing establishes a relative
                                ranking of materials by ordering the results to a reference standard material
                                after operation in a fixed abrasive environment. A typical abrasive
                                environment is a mixture of water and earth. The operating temperature
                                has a significant influence upon wear. The hot water test evaluates the
                                behaviour of the face materials at temperatures above the atmospheric
                                boiling point of the liquid. The materials are tested in hot water at 149 °C
                                and the rate of wear measured. None of the above mentioned tests are
                                standardized throughout the industry. Each seal supplier has established its
                                own criteria. The PV test is, at the present time, the only one having a
                                reasonable mathematical foundation that lends itself to quantitative
                                analysis.
                                  The foundation for the test can be expressed mathematically as follows:



                                where PV is the pressure x velocity, A/? is the differential pressure to be
                                sealed, b is the seal balance, £ is the pressure gradient factor, F s is the
                                mechanical spring pressure and V is the mean face velocity.
                                  All implicit values of eqn (4.194), with the exception of the pressure
                                gradient factor, <!;, can be established with reasonable accuracy. Seal
                                balance, b, is further defined as the mathematical ratio of the hydraulic
                                closing area to the hydraulic opening area. The pressure gradient factor, £,
                                requires some guessing since an independent equation to assess it has not
                                yet been developed. For water it is usually assumed to be 0.5 and for liquids
                                such as light hydrocarbons, less than 0.5 and for lubricating oils, greater
                                than 0.5. The product of the actual face pressure, P, and the mean velocity,
                                V, at the seal faces enters the frictional power equation as follows:



                                where N { is the frictional power, PV is the pressure x velocity, / is the
                                coefficient of friction and A is the seal face apparent area of contact.
                                  Therefore, PV can be defined as the frictional power per unit area.
                                                                         1
                                                                 6
                                Coefficients of friction, at PV = 3.5 x 10  Parns" , for frequently used seal
                                materials are given in Table 4.3. They were obtained with water as the
                                lubricant. The values could be from 25 to 50 per cent higher with oil due to
                                the additional viscous drag. At lower PV levels they are somewhat less, but
                                not significantly so; around 10 to 20 per cent on the average. The coefficient
                                of friction can be further reduced by about one-third of the values given in
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