MHD Mixed convection flow of a nanofluid in an Isothermal vertical cone Palani Sudhagar, Peri K. Kameswaran, B. Rushi Kumar ∗ Department of Mathematics, School of Advanced Sciences VIT University, Vellore 632 014, India Email: sudha81maths@gmail.com (PS) Email: perikamesh@gmail.com (PKK) Email: rushikumar@vit.ac.in (BRK) ABSTRACT A boundary layer analysis is laid out for the steady, laminar, mixed convection flow past an isothermal ver- tical cone embedded in a porous medium filled with a nanofluid. The model used for the nanofluid is one which includes the effects of Brownian motion and thermophoresis. A parametric study is performed for different physical parameters, Magnetic (M), Cone angle (m), Mixed convection (χ), Brownian motion (Nt), thermophoresis (Nb) on the velocity, temperature, and nanoparticle concentration profiles. The local Nusselt, Sherwood, and nanoparticle Sherwood number have been laid out in a graphic way. The dependency of the rate of heat and mass transfer on the governing parameters have been discussed. Keywords: Nanofluid, Mixed convection, Thermophoresis, Brownian motion, Porous Medium Nomenclature A Vertex of the cone half angle B 0 Axial magnetic field C Solute Concentration D B Brownian diffusion coefficient D T Thermophoretic diffusion coefficient D CT Soret diffusivity D s Solutal diffusivity f Non-dimensional stream function g Acceleration due to gravity K Permeability of porous medium k m Thermal conductivity Le Lewis number, α/εD s Ln Nanoparticle Lewis number, α/εD B M Magnetic parameter, M = Kσμ 2 e B 2 0 /μ m Free stream velocity exponent Nb Brownian motion parameter, τD B △φ/α Nc Double diffusive buoyancy ratio parameter, β C △C/β T △T Nt Thermophoresis parameter, τD T △T /αT ∞ Nr Nanofluid buoyancy parameter, (ρ p − ρ f ∞ ) Δφ/(1 − φ) ρ f ∞ β T ΔT Nn r Non dimensional Nanoparticle Nusselt number Nu r Non dimensional reduced Nusselt number Pe x Local Peclet number, U ∞ x/α ∗ Address all correspondence for other issues to this author. Journal of Heat Transfer. Received September 25, 2015; Accepted manuscript posted October 24, 2016. doi:10.1115/1.4035039 Copyright (c) 2016 by ASME Accepted Manuscript Not Copyedited Downloaded From: http://heattransfer.asmedigitalcollection.asme.org/ on 11/19/2016 Terms of Use: http://www.asme.org/about-asme/terms-of-use