Abstract
The problem considered arises in solving various technical problems associated with flows of a viscous fluid in a closed space near rotating plane surfaces, turbomachine disks, thrust bearings, rotational viscosimeters, etc. The approximate solution of the problem on the basis of a simplified flow scheme was first obtained by Schultz-Grunow [1], The most complete investigation has been made recently by Grohne [2], who outlined a program for solving the problem by joining several partial solutions on the basis of definite hypotheses concerning the flow core.
With the development of electronic digital computers and the necessary numerical methods, the most effective means of solving the considered problem is the use of the grid methods for solving partial differential equations. The present paper is devoted to presenting the results of the solution of the problem using the grid method on a digital computer.
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References
F. Schultz-Grunow, “Der Reibungswiderstand rotierender Scheiben in Gehüsen”, Z. angew. Math. und Mech., vol. 15, no. 4, 1935.
D. Grohne, “Über die laminare Strömung in einer kreiszilindrischen Dose mit rotierendem Deckel”, Nachr. Akad. Wiss. Göttingen Math. Phys. Kl, no. 1, 1956.
L. A. Dorfman, Hydrodynamic Resistance and Heat Transfer of Rotating Bodies [in Russian], Fizmatgiz, 1960.
L. A. Dorfman, “Flow of viscous fluid between a fixed disk and a streamlined rotating disk”, Izv. AN SSSR, Mekhanika zhidkosti i gaza [Fluid Dynamics] no. 2, 1966.
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Dorfman, L.A., Romanenko, Y.B. Flow of a viscous fluid in a cylindrical vessel with a rotating cover. Fluid Dyn 1, 43–48 (1966). https://doi.org/10.1007/BF01022149
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DOI: https://doi.org/10.1007/BF01022149