Non – Darcian and Non – Uniform Salinity Gradients on Triple Diffusive Convection in Composite Layers
B. Komala1, R. Sumithra2
1B. Komala, Research Scholar, Research and Development Centre, Bharathiar University, Coimbatore (Tamil Nadu), India.
2R. Sumithra, Associate Professor, Department of Mathematics, Government Science College, Bangalore (Karnataka), India.
Manuscript received on 18 August 2019 | Revised Manuscript received on 29 August 2019 | Manuscript Published on 06 September 2019 | PP: 835-849 | Volume-8 Issue- 6S, August 2019 | Retrieval Number: F11590886S19/19©BEIESP | DOI: 10.35940/ijeat.F1159.0886S19
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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 effect of uniform and non-uniform salinity gradients on the onset of triple diffusive convection in a system of composite layers enclosing an incompressible, three component, electrically conducting fluid which lies above a saturated porous layer of the identical fluid is studied analytically. The upper boundary of the fluid layer and the lower boundary of the porous layer are static and both the boundaries are insulating to heat and mass. At the interface, the velocity, shear stress, normal stress, heat, heat flux, mass and mass flux are presumed to be continuous, intended for Darcy-Brinkman model. An Eigenvalue problem is attained and the same is solved by the regular perturbation approach. The critical Rayleigh number which is the guiding principle for the invariability of the system is accomplished for every salinity profile individually. The effects of various physical parameters on the onset of Triple diffusive convection are considered for all the profiles graphically.
Keywords: Triple Diffusion, Non-Uniform Salinity Gradients, Regular Perturbation Method, Darcy-Brinkman Model.
Scope of the Article: Composite Materials