Order Predictor-corrector Method Research Articles

Lubrication of rollers by power law fluids considering consistency-variation with pressure and temperature

The steady state lubrication of two rigid cylindrical rollers under entraining and squeezing motion including cavitation is studied. The lubricant consistencym of the power law fluid is assumed to be pressure and temperature dependent. A numerical solution to the coupled Reynolds' and energy equation for pressure and temperature has been obtained using higher order predictor corrector method. Also several other bearing characteristics such as load, traction ratios, maximum pressure, location of pressure maximum, temperature ratios etc. are calculated and discussed in detail for different values of the power law index including the Newtonian fluid behaviour. A comparison of the present results with those under isothermal condition is also made. It is concluded that the effect of temperature is to shift the position of the pressure peak slightly away from the center line of contact, whereas the trend is opposite for the cavitation points. The variation in consistency is found to be very significant, especially in the pressure peak region.

A sixth order predictor-corrector method for periodic IVPs

Viewed as a predictor-corrector scheme, a sixth order explicit method is constructed as a natural extension of the fourth order Numerov-type explicit method of Chawla [2]. As with the explicit Numerov, the resulting explicit method has a larger interval of periodicity than that of the implicit corrector.