Page 136 - Rollingbearings
P. 136

B.5  Operating temperature and speed
        Cooling via                                                                                   Diagram 5
        circulating oil                      Relationship between power loss, heat dissipation and temperature


        By circulating the oil, it is possible to cool it,
        and thereby remove heat from the bearing   Power
        arrangement
          In diagram 5, the curved line shows the         P loss     W
        bearing frictional power loss, P loss , and the                s
        angled line shows the heat dissipation, W
                                      s
          Taking the heat dissipated via oil circula-      Oil
        tion into account, the bearing thermal equi-    cooling
        librium under steady-state conditions
        becomes:                                                         Heat dissipation
                                                         Heat
                                                      dissipation
        P loss  = W (T bear  – T amb ) + P
                            oil
               s
                                                          T amb                             T bear
        where                                                         P   = W  (T   – T  )
        P loss   = bearing frictional power loss [W]               P   loss  s  bear  amb
        W   =  total heat dissipation per degree                    loss  = W s  (T bear  – T amb ) + P oil
          s
              above ambient temperature [W/°C]
        T bear  =  estimated required bearing operating   If you do not have values for T out  or T , you
    Operating temperature and speed  Taking the heat dissipation via oil circulation   may assume a temperature difference of 5 to
              temperature [°C]
        T
             = the ambient temperature [°C]
         amb
        P   =  estimated power dissipated in the oil
         oil
                                                                      in
              cooler [W]
                                           10 °C (10 to 20 °F)
                                             The limit of cooling that is possible via
        into account, you can estimate the bearing
                                           circulating oil is determined by the degree of
        operating temperature using
                                           heat transfer that can be obtained from a
                                           given bearing  As a rule of thumb, you can
        T
            = ((P
                                           determine the maximum oil low, above
                  – P ) / W ) + T
                            amb
                    oil
                loss
                         s
         bear
                                           is obtained, using
        dissipated by oil cooling, for a given bearing
                                           Q
        temperature, using
                                               = (D B) / 12 500
    B.5   You can estimate the power that must be   which no signiicant temperature reduction
                                            max
        P = P loss  - W (T bear  – T amb )
                  s
         oil
                                           where
        You can estimate the required oil low, for a   Q max  = maximum oil low [l/min]
        given quantity of power that must be dissi-  D   = bearing outer diameter [mm]
        pated by oil cooling (P ), using   B   = bearing width [mm]
                        oil
        Q = P / (27 (T out  – T ))
                       in
            oil
        where
        Q   = required oil low [l/min]
        P   = power dissipated in the oil cooler [W]
         oil
        T out  =  oil temperature at the housing oil
              outlet [°C]
        T   =  oil temperature at the housing oil inlet
         in
             [°C]


        134
   131   132   133   134   135   136   137   138   139   140   141