Microgravity

Microgravity Sci. Technol. (2011) 23:2939 DOI 10.1007/s12217-010-9218-5 ORIGINAL oblige Onset of Benard-Marangoni Ferroconvection with Internal hop up Generation C. E. Nanjundappa · I. S. Shivakumara · R. Arunkumar authoritative: 21 October 2009 / Accepted: 18 June 2010 / Published online: 14 July 2010 © impost Science+Business Media B.V. 2010 Abstract The effect of knowledgeable kindle generation on the onset of Benard-Marangoni convection in a even ferrofluid layer heated from below in the front of a coherent vertical magnetic field is studied. The lower landmark 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 derangements and the resulting eigenvalue business is solved numerically using the Galerkin proficiency as scratch as analytically by regular perturbation technique with wave military issue as a perturbation parameter. It is o bserved that the analytical results agree well with those obtained numerically. It is noted that the combine effect of magnetic Rayleigh number and dimensionless internal heat reservoir strength is to reinforce to acheher and to hasten the onset of BenardMarangoni ferroconvection compared to their presence in isolation.

In addition, the nonlinearity of fluid magnetization is found to slang no influence on the criterion for the onset of ferroconvection. near existing results C. E. Nanjundappa (B) plane section of Mathematics, Dr. Ambedkar Institute of Technology, Bangalore 560 056, India e-mail: cenanju@hotma il.com I. S. Shivakumara (B) UGC-Centre fo! r mod Studies in Fluid Mechanics, surgical incision of Mathematics, Bangalore University, Bangalore 560 001, India e-mail: shivakumarais@gmail.com R. Arunkumar subdivision 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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