An analysis is presented of fully developed laminar flow in an eccentric annulus. An exact solution for the velocity distribution is presented. From this solution may be obtained expressions far local shear stress on the inner and outer surfaces of the annulus, friction factors based on the inner and outer surfaces, and the overall friction factor. Curves of these data are presented covering a range of eccentricity values and radius ratio values.In recent years, a considerable interest has developed in the problems of flow and heat transfer in annuli, both concentric and eccentric. In addition to its inherent usefulness as a flow geometry, flow in an annulus has proved useful as a model for longitudinal flow in a tube bundle ( 5 ) . The interest in the eccentric annulus arises because of the problem of tube misalignment which frequently occurs in a close-packed tubular heat exchanger. A considerable amount of work has been done on the problem of turbulent flow in an eccentric annulus ( 4 ) , but to the authors' knowledge no results have been reported for the laminar flow friction factors in an eccentric annulus. The present investigation attempts to fill this gap in the knowledge of annulus flows.In a recent paper (I), the problem of slug flow heat transfer in an eccentric annulus was considered. The governing equation for both slug flow heat transfer and fully developed laminar flow in an eccentric annulus is Poisson's equation with a constant nonhomogeneous term. Thus the governing equation for the present investigation is the same as that employed in reference 1 with different boundary conditions. The basic mathematical technique applicable to both problems is the bipolar transformation which maps the concentric annulus cross section in the physical plane into a rectangle in the complex plane.An analysis of the laminar flow problem by Heyda ( 2 ) was recently called to the authors' attention. Heyda's main interest was establishing the locus of maximum velocity for fully developed laminar flow in an eccentric annulus. The assumption was then made that the locus of maximum velocity would be the same for both laminar and turbulent flow, an assumption which has been recently verified over a limited range of radius ratios by Wolffe and Clump (3). The expression for the shear stress was not obtained by Heyda, and no numerical results were presented.In the present analysis, a solution is obtained for the fully developed laminar flow velocity distribution in an eccentric annulus. From this solution, expressions are obtained for the variation of local shear stress around the inner and outer surfaces of the annulus. Friction factors are defined for each surface as well as a total friction factor based on the total shear at both surfaces. Numerical results are presented covering a range of eccentricities and radius ratios.

A method is presented for predicting the pressure gradient required to transport a cylindrical capsule through a liquid‐filled pipeline. It is based upon a coefficient of lubricated friction which is obtained experimentally by pulling a capsule by a string through the liquid‐filled pipe. A simplified method for measuring this coefficient and relating it to the capsule pressure gradient is proposed.

An analysis is presented of the slider bearing using an electrically conducting lubricant, such as a liquid metal, in the presence of a magnetic field. The solution permits the calculation of the load-carrying capacity of the bearing. A comparison is made with the classical slider bearing solution. It is shown that the load capacity of the bearing depends on the electromagnetic boundary conditions entering through the conductivity of the bearing surfaces. Numerical data are presented for nonconducting surfaces with the emphasis on a comparison between the classical bearing and the magnetohydrodynamic bearing characteristics. It is shown that a significant increase in load capacity is possible with liquid metal lubricants in the presence of a magnetic field.

A solution is presented for the temperature distribution in a fluid flowing in an eccentric annulus formed with circular cylinders under the assumption of slug flow. The flow is assumed to be fully developed thermally with constant thermophysical properties. The outer surface is assumed to be adiabatic and the inner surface temperature is assumed to be independent of circumferential position. General expressions and numerical results for a typical set of conditions are presented for the quantities, local heat flux, local heat transfer coefficient, adiobotic surface temperature distribution, and average Nusselt number. The application of the present results to the prediction of turbulent heat transfer to liquid metals is indicated, and o comparison with other liquid metal heat transfer analyses is presented. -= 1.94. This value was chosen to correspond to the rl