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Nanjundappa, C.E., Shivakumara, I.S. and Savitha, B. (2014) Onset of Bénard-Marangoni Rroconvection with a Convective Surface Boundary Condition: The Effects of Cubic Temperature Profile and MFD Viscosity. International Communications in Heat and Mass Transfer, 51, 39-44.
https://doi.org/10.1016/j.icheatmasstransfer.2013.11.010

has been cited by the following article:

• TITLE: The Onset of Buoyancy and Surface Tension Driven Convection in a Ferrofluid Layer by Influence of General Boundary Conditions

  AUTHORS: Mahesh Kumar Ramachandraiah, Savitha Basavaraju

  KEYWORDS: Marangoni Number, Ferrothermal Convection, Insulating, Regular Perturbation Technique, Galerkin Technique

  JOURNAL NAME: Open Journal of Fluid Dynamics, Vol.12 No.1, March 2, 2022

  ABSTRACT: This paper investigated the buoyancy and surface tension-driven ferro-thermal-convection (FTC) in a ferrofluid (FF) layer due to influence of general boundary conditions. The lower surface is rigid with insulating to temperature perturbations, while the upper surface is stress-free and subjected to general thermal boundary condition. The numerically Galerkin technique (GT) and analytically regular perturbation technique (RPT) are applied for solving the problem of eigenvalue. It is analyzed that increasing Biot number, decreases the magnetic and Marangoni number is to postponement the onset. Additionally, magnetization nonlinearity parameter has no effect on FTC in the non-existence of Biot number. The results under the limiting cases are found to be in good agreement with those available in the literature.