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A new approximate method for the flow near a rotating disc

  • Fluids, Plasmas and Electric Discharges
  • Published:
Acta Physica Academiae Scientiarum Hungaricae

Abstract

A new variational method based on the thermodynamics of irreversible processes is developed to obtain an approximate analytical solution for the flow near a rotating disc. Two sets of trial functions for radial and circumferential components of velocity are used. The results with the trial functions of second and third degree polynomials for radial and circumferential components of velocity, respectively, are quite close to exact solution in the neighbourhood of the disc. The second set of trial functions, the polynomials of second degree, improves the result away from the disc. The results are better than those obtained byKármán—Pohlhausen technique in the whole range of boundary layer. The boundary layer thicknesses with the present method for two different cases and withKármán—Pohlhausen’s technique are 2.80, 3.39 and 2.79, respectively.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, Kanpur, India

    P. Singh

  2. Department of Chemical Engineering, Indian Institute of Technology, Kanpur, India

    Parashu Ram

Authors
  1. P. Singh
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  2. Parashu Ram
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Singh, P., Ram, P. A new approximate method for the flow near a rotating disc. Acta Physica 50, 379–389 (1981). https://doi.org/10.1007/BF03157902

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  • DOI: https://doi.org/10.1007/BF03157902

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