Rayleigh-Benard-Marangoni Ferro Convection with Concentration and Temperature Dependent Viscosity
V Kavitha1, M Chenna Krishna Reddy2, S Harisingh Naik3
1V Kavitha, Department of H & S, Vardhaman College of Engineering, Hyderabad (Telangana), India.
2Dr. M Chenna Krishna Reddy, Department of Mathematics, University College of Science, Osmania University, Hyderabad (Telangana), India.
3Dr. S Harisingh Naik, Department of Mathematics, University College of Science, Osmania University, Hyderabad (Telangana), India.
Manuscript received on 19 August 2019 | Revised Manuscript received on 29 August 2019 | Manuscript Published on 16 September 2019 | PP: 458-461 | Volume-8 Issue-2S6 July 2019 | Retrieval Number: B10870782S619/2019©BEIESP | DOI: 10.35940/ijrte.B1087.0782S619
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: The inception of Rayleigh-Benard-Marangoni (RBM) Ferro convection with concentration and temperature dependent viscosity is investigated theoretically and the resultant is further enhanced numerically using Galerkin method. We observed that the effect of Rayleigh number together with internal heating suppressed the onset of RBM Ferro convection. The nonlinear nature of magnetic fluid parameter has no impact on the onset of Ferro convection. The latent values found numerically by Galerkin weighted Residual technique and regular perturbation technique are found to be alike, indicating the fact that the obtained solutions are near exact in nature. The result of the BC’s for lower and upper free rigid boundary at temperature dependent surface tension forces are found to be immaculately insulate to temperature perturbation.
Keywords: Rayleigh-Benard-Marangoni Ferro Convection, Galerkin Method, Regular Perturbation Technique, Internal Heating.
Scope of the Article: Cryptography and Applied Mathematics