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The influence of twist on the motion of straight elliptical jets

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Abstract

This paper is concerned with a fairly detailed analysis of the motion of a straight elliptical jet of an incompressible, inviscid fluid in which the jet is allowed to twist along its axis. Our study, which includes the effects of gravity and surface tension, utilizes the nonlinear differential equations of the one-dimensional theory of a directed fluid jet. A number of theorems are proved pertaining to the motion of a twisted elliptical jet and some special solutions are obtained which illustrate the influence of twist.

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References

  1. Ericksen, J. L., & C. Truesdell, Exact theory of stress and strain in rods and shells. Arch. Rational Mech. Anal. 1, 295–323 (1958).

    Google Scholar 

  2. Green, A. E., Compressible fluid jets, Arch. Rational Mech. Anal. 59, 189–205 (1975).

    Google Scholar 

  3. Green, A. E., On the non-linear behavior of fluid jets, Int. J. Eng. Sci. 14, 49–63 (1976).

    Google Scholar 

  4. Green, A. E., On the steady motion of jets with elliptical sections, Acta Mechanica 26, 171–177 (1977).

    Google Scholar 

  5. Green, A. E, and N. Laws, Ideal fluid jets, Int. J. Eng. Sci. 6, 317–328 (1968).

    Google Scholar 

  6. Green, A. E., P. M. Naghdi, and M. L. Wenner, On the theory of rods, I. Derivations from the three-dimensional equations. Proc. Roy. Soc. Lond. A 337, 451–483 (1974).

    Google Scholar 

  7. Green, A. E., P. M. Naghdi, and M. L. Wenner, On the theory of rods, II. Developments by direct approach, Proc. Roy. Soc. Lond. A 337, 485–507 (1974).

    Google Scholar 

  8. Milne-Thomson, L. M., Theoretical hydrodynamics, 5th ed., MacMillan, 1968.

  9. Noble, B., Applied linear algebra, Prentice-Hall, 1969.

  10. Rosenlicht, M., Introduction to analysis, Scott, Foresman and Co., 1968.

  11. Schlichting, H., Boundary layer theory, 6th ed., McGraw-Hill, 1968.

  12. Taylor, G. I., The boundary layer in the converging nozzle of a swirl atomizer, Quart. J. Mech. Appl. Math. 3, 129–139 (1950).

    Google Scholar 

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of California, Berkeley

    D. A. Caulk & P. M. Naghdi

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  1. D. A. Caulk
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  2. P. M. Naghdi
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Communicated by J. Serrin

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Caulk, D.A., Naghdi, P.M. The influence of twist on the motion of straight elliptical jets. Arch. Rational Mech. Anal. 69, 1–30 (1979). https://doi.org/10.1007/BF00248407

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  • DOI: https://doi.org/10.1007/BF00248407

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