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Nonlinear break up of an infinite cylinder in the presence of a uniform axial magnetic field

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Abstract

A third-order theory has been developed to study the instability of an infinite cylinder in the presence of a uniform axial magnetic field. By use of strained coordinates, the growth of the surface waves is calculated for wave numbers less than the critical wave number. It is observed that the perturbed surface of an infinite cylinder assumes a non-sinusoidal shape resulting in secondary waves due to energy transfer between the harmonics of different orders.

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Authors and Affiliations

  1. Panjab University, Chandigarh, India

    R. K. Chhabra & S. K. Trehan

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  1. R. K. Chhabra
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  2. S. K. Trehan
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Department of Chemical Engineering and Technology.

Department of Mathematics.

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Chhabra, R.K., Trehan, S.K. Nonlinear break up of an infinite cylinder in the presence of a uniform axial magnetic field. Astrophys Space Sci 181, 283–312 (1991). https://doi.org/10.1007/BF00639096

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  • DOI: https://doi.org/10.1007/BF00639096

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