Numerical solutions of Reynolds' equation pertaining to the finite length journal bearing with a constant unidirectional load and lubricated with a compressible fluid are given. Results are tabulated for the constant viscosity, isothermal case for L/D values of 2, 1, and ½ and design charts applicable over the full range of the compressibility number (λ = μUR/C2Pa ) are presented for eccentricity ratios ranging from 0.1 to 0.8. Differences between gas and liquid lubricated bearings are mentioned and the numerical techniques employed discussed. Use of the design charts is illustrated, and the numerical results are compared with an existing approximate analytical solution and some test results available in the literature. *Presented as an American Society of Lubrication Engineers paper at the Lubrication Conference held in Boston, Massachusetts, October 17–19, 1960.

A Variational Approach to Lubrication Problems and the Solution of the Finite Journal Bearing

A Numerical Solution for the Gas Lubricated Full Journal Bearing of Finite Length

An apparatus and method for cleaning passageways and the like with a two-phase mixture of gas under pressure and an aqueous cleaning solution. The two-phase cleaning mixture is generated in a module and is passed out of the module at a predetermined rate that determines droplet size, velocity and droplet density at the pipeline surface to be cleaned. The droplets impact the walls of the passageway to be cleaned, thereby fragmenting, eroding and removing contaminants in said passageway. These are then flushed out of the passageway by the two-phase flow. The flow of cleaning solution can be steady or pulsed. The apparatus and process include a clean-in-place system that is useful in food, beverage, pharmaceutical and similar process industries.

Apparatus and method for cleaning pipelines, tubing and membranes using two-phase flow

Hollow porous fibers (12) containing adhered contaminants are cleaned to remove the contaminants by backflushing a liquid to fill the pores, and adding a flow of gas so as to form a two-phase mixture of gas and bubbles of liquid that can scrub the fibers, looseing the contaminants and allowing them to be flushed from the hollow fibers (12).

Method for cleaning hollow tubing and fibers

A formulation of the theorem of minimum entropy production is developed to include the case in which mechanical irreversibility due to viscous forces occurs. We have thus obtained a generalization of the dissipation function of Lord Rayleigh as well as a generalization of Helmholtz' theorem, which states that the dissipation function is a minimum in the stationary state. This generalization refers to the slow movement of a viscous incompressible fluid at nonuniform temperature.

Variational Properties of a Viscous Liquid at a Nonuniform Temperature

A rapid method for calculating the general nonlinear response of finite-length plain journal and squeeze film damper bearings is presented. The method incorporates a finite-length correction factor which modifies the nonlinear forces obtained from short bearing theory. The steady-state rotational, precessive squeeze, and radial squeeze forces obtained with the correction factor compare extremely well with the forces obtained from an analytic solution of Reynolds equation using a variational approach up to L/D of 1.25 and hence covers the most commonly encountered L/D ratios. The method is no more time consuming than the short bearing analysis and is especially suited to nonlinear transient analysis of flexible rotors.

A Variational Approach to Lubrication Problems and the Solution of the Finite Journal Bearing

Citations

A Numerical Solution for the Gas Lubricated Full Journal Bearing of Finite Length

Apparatus and method for cleaning pipelines, tubing and membranes using two-phase flow

Method for cleaning hollow tubing and fibers

Variational Properties of a Viscous Liquid at a Nonuniform Temperature

A Finite Length Bearing Correction Factor for Short Bearing Theory

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