DOI 10.1007/s12217-010-9218-5
ORIGINAL ARTICLE
Onset of Benard-Marangoni Ferroconvection with Internal
hop up Generation
C. E. Nanjundappa · I. S. Shivakumara ·
R. Arunkumar
Received: 21 October 2009 / Accepted: 18 June 2010 / Published online: 14 July 2010
© Springer Science+Business Media B.V. 2010
Abstract The effect of knowledgeable heat generation on the
onset of Benard-Marangoni convection in a horizontal
ferrofluid layer heated from below in the presence
of a coherent vertical magnetic field is studied. The
lower boundary is starchy and the upper free boundary
is assumed to be flat and undeformable. both the
boundaries are considered to be perfectly insulated
to temperature perturbations and the resulting eigenvalue problem is solved numerically using the Galerkin
technique as surface as analytically by regular perturbation technique with wave military issue as a perturbation
parameter. It is observed that the analytical results
agree well with those obtained numerically. It is noted
that the combined effect of magnetic Rayleigh number
and dimensionless internal heat rootage strength is to
reinforce together and to hasten the onset of BenardMarangoni ferroconvection compared to their presence
in isolation.
In addition, the nonlinearity of fluid magnetization is found to have no influence on the criterion
for the onset of ferroconvection. Some existing results
C. E. Nanjundappa (B)
plane section of Mathematics,
Dr. Ambedkar Institute of Technology,
Bangalore 560 056, India
e-mail: cenanju@hotmail.com
I. S. Shivakumara (B)
UGC-Centre for Advanced Studies in Fluid Mechanics,
surgical incision of Mathematics, Bangalore University,
Bangalore 560 001, India
e-mail: shivakumarais@gmail.com
R. Arunkumar
Department of Mathematics,
Rajarajeswari College of Engineering,
Bangalore 560 074, India
are reproduced as particular cases from the present
study.
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