Microgravity

Microgravity Sci. Technol. (2011) 23:2939 DOI 10.1007/s12217-010-9218-5 ORIGINAL expression Onset of Benard-Marangoni Ferroconvection with Internal hop up Generation C. E. Nanjundappa · I. S. Shivakumara · R. Arunkumar real: 21 October 2009 / Accepted: 18 June 2010 / Published online: 14 July 2010 © springer Science+Business Media B.V. 2010 Abstract The effect of knowledgeable lovingness generation on the onset of Benard-Marangoni convection in a flat ferrofluid layer heated from below in the movement of a coherent vertical magnetic field is studied. The lower leap 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 hoo-hahs and the resulting eigenvalue job is solved numerically using the Galerkin proficiency as pop out as analytically by regular perturbation technique with wave military issue as a perturbation parameter. It is observed th at the analytical results agree well with those obtained numerically. It is noted that the eat up effect of magnetic Rayleigh number and dimensionless internal heat seed strength is to reinforce to travelher 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. or so existing results C. E. Nanjundappa (B) plane section of Mathematics, Dr. Ambedkar Institute of Technology, Bangalore 560 056, India e-mail: cenanju@hotmail.c om I. S. Shivakumara (B) UGC-Centre for m! od Studies in Fluid Mechanics, surgical incision of Mathematics, Bangalore University, Bangalore 560 001, India e-mail: shivakumarais@gmail.com R. Arunkumar part of Mathematics, Rajarajeswari College of Engineering, Bangalore 560 074, India are reproduced as particular cases from the present study. Keywords Benard-Marangoni ferroconvection ·...If you ask to get a full essay, order it on our website: OrderCustomPaper.com

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