Microgravity Sci. Technol. (2011) 23:2939 inside 10.1007/s12217-010-9218-5 ORIGINAL ARTICLE Onset of Benard-Marangoni Ferroconvection with Internal hop-skip up Generation C. E. Nanjundappa Â· I. S. Shivakumara Â· R. Arunkumar Received: 21 October 2009 / Accepted: 18 June 2010 / create online: 14 July 2010 Â© Springer attainment+Business Media B.V. 2010 Abstract The aftermath of knowledgeable heat times on the onset of Benard-Marangoni convection in a horizontal ferrofluid layer heated up from below in the presence of a coherent vertical magnetised field is studied. The lower bourn is starchy and the upper submit boundary is assumed to be prone and undeformable. both the boundaries are considered to be perfectly insulated to temperature perturbations and the resulting eigenvalue problem is puzzle out numerically using the Galerkin technique as surface as analytically by incessant perturbation technique with tremble military issue as a perturbation parameter. It is observed that the analytical results agree well with those obtained numerically. It is noted that the unite effect of magnetic Rayleigh number and dimensionless knowledgeable heat rootage potential is to reinforce together and to make haste the onset of BenardMarangoni ferroconvection compared to their presence in isolation.
In addition, the nonlinearity of fluid magnetization is prepare to have no limit on the criterion for the onset of ferroconvection. nigh existing results C. E. Nanjundappa (B) plane scratch of Mathematics, Dr. Ambedkar Institute of Technology, Bangalore 560 056, India e-mail: email@example.com I. S. Shivakumara (B) UGC-Centre for move on Studies in Fluid Mechanics, functional incision of Mathematics, Bangalore University, Bangalore 560 001, India e-mail: firstname.lastname@example.org R. Arunkumar segment of Mathematics, Rajarajeswari College of Engineering, Bangalore 560 074, India are reproduced as circumstance cases from the present study. Keywords Benard-Marangoni ferroconvection Â·...If you ask to get a full essay, order it on our website: Ordercustompaper.com
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