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Capillary, orifice, and flow control valve compensation of hydrostatic thrust bearings is investigated theoretically with regard to the effect of these three methods of compensation on the stiffness of the lubricant film. Equations are derived which permit rapid determination of bearing stiffness at any given load and film thickness. When a hydrostatic bearing is made to operate at any given film thickness and load, it is found that at this load and film thickness no adjustment of the compensating element or supply pressure will alter the fact that ψvalve > ψorifice > ψcapillary where ψ equals the absolute value of stiffness. Furthermore, with fixed supply pressure and compensation, this stiffness relationship will remain the same for all practical values of load above and below the initial film thickness-load point.

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obtained from this system. This figure is a reduced-size reproduction of a typical set of curves, for an orifice-compensated bearing with four different supply pressures. Each trace has two or three runs on it, showing the reproducibility of this method of data taking. The capacitance gage was calibrated externally in a precisionmicroscope stage, then mounted above the runner. Zero film thickness was obtained bj r loading the bearing and shutting oft' the oil supply. After several minutes, the oil was virtually squeezed out from between the bearing lands and runner, and the zero reading was taken. An error of about-0.0002 in. is noted at maximum load on the lower curve and decreasing amounts 011 the higher curves. This is believed to be due to a lack of squareness in the pen movement of the X-l'-recorder, and is estimated to be the order of accuracy of the film-thickness measurement. Because of the nonlinearity of the capacitance-gage output, the error at larger film thicknesses is below the 0.0002-in. value. DISCUSSION Alfred M. Loeb 2 This discusser and Mr. Stanley B. Malanoski have conducted a similar investigation into the performance of hydrostatic bearings under various methods of compensation.

The one‐dimensional model for convection with diffusion and with a source term for mass or energy generation or interchange is analyzed for the eigenvalues and the corresponding spatial eigenmodes as a function of the Peclet number. It is shown how the modal analysis of the source case, when the source coefficients for heat exchange and chemical reaction are spatially independent, is directly related to the no source solution. Numerical examples of determining the source term coefficient are included. These solutions form a base to discuss dynamic characteristics and stability and to which solutions for spatially dependent coefficients can be compared.