• Convective instability of a rotating layer of ferromagnetic fluid

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    • Keywords


      Stability; convective marginal state; overstability; ferromagnetic fluid

    • Abstract


      The instability of a hot horizontal layer of ferromagnetic fluid rotating about a vertical axis has been investigated when the Prandtl numberP < 1. Earlier it was shown that forP > 1 the overstability cannot occur. In this paper the convective and overstable marginal states have been investigated separately forP < 1 and it is found that though convective marginal state is possible for alla, the non-dimensional wave number, and N the Taylor number, the overstability is possible only ifN > (1 +P)π4/(1 −P) and in case the condition is satisfied, overstability is possible for all those values ofa which satisfya2 < [N(1 −P)π2/(1 +P)]1/3 − π2. IfRc(con) andRc(o.s) are the critical values of the convective and the overstable marginal states respectively, then it is also found thatRc(con) <Rc(o.s) providedN is not sufficiently large.

    • Author Affiliations


      S P Bhattacharyya1 M Abbas1 2

      1. Department of Mathematics, Indian Institute of Technology, Powai, Bombay - 400 076, India
      2. Department of Computer Science and Engineering, Indian Institute of Technology, Powai, Bombay - 400 076, India
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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