Reverse Flow in Magnetoconvection of Two Immiscible Fluids in a Vertical Channel
作者： Alessandra Borrelli , Giulia Giantesio , Maria Cristina Patria
DOI: 10.1115/1.4036670
关键词: Mechanics 、 Acoustics 、 Flow (mathematics) 、 Vertical channel 、 Magnetic field 、 Materials science
摘要: This paper concerns the study of the influence of an external magnetic field on the reverse flow occurring in the steady mixed convection of two Newtonian immiscible fluids filling a vertical channel under the Oberbeck–Boussinesq approximation. The two isothermal boundaries are kept either at different or at equal temperatures. The velocity, the temperature, and the induced magnetic field are obtained analytically. The results are presented graphically and discussed for various values of the parameters involved in the problem (in particular, the Hartmann number and the buoyancy coefficient) and are compared with those for a single Newtonian fluid. The occurrence of the reverse flow is explained and carefully studied.
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Anil Bhaurao Wakale, K Venkatasubbaiah, Kirti Chandra Sahu, None, A parametric study of buoyancy-driven flow of two-immiscible fluids in a differentially heated inclined channel Computers & Fluids. ,vol. 117, pp. 54- 61 ,(2015) , 10.1016/J.COMPFLUID.2015.04.021
Lydia M. Rickett, Robert Penfold, Mark G. Blyth, Richard Purvis, Mark J. Cooker, Incipient mixing by Marangoni effects in slow viscous flow of two immiscible fluid layers Ima Journal of Applied Mathematics. ,vol. 80, pp. 1582- 1618 ,(2015) , 10.1093/IMAMAT/HXV009
S. Bhattacharyya, A.S. Gupta, MHD flow and heat transfer at a general three-dimensional stagnation point International Journal of Non-linear Mechanics. ,vol. 33, pp. 125- 134 ,(1998) , 10.1016/S0020-7462(96)00150-3
M. S. Malashetty, J. C. Umavathi, J. Prathap Kumar, Magnetoconvection of two-immiscible fluids in vertical enclosure Heat and Mass Transfer. ,vol. 42, pp. 977- 993 ,(2006) , 10.1007/S00231-005-0062-X
A. Borrelli, G. Giantesio, M.C. Patria, ON THE NUMERICAL SOLUTIONS OF THREE-DIMENSIONAL MHD STAGNATION-POINT FLOW OF A NEWTONIAN FLUID International journal of pure and applied mathematics. ,vol. 86, pp. 425- 442 ,(2013) , 10.12732/IJPAM.V86I2.16
Ali J. Chamkha, On laminar hydromagnetic mixed convection flow in a vertical channel with symmetric and asymmetric wall heating conditions International Journal of Heat and Mass Transfer. ,vol. 45, pp. 2509- 2525 ,(2002) , 10.1016/S0017-9310(01)00342-8
Lyudmyla L. Barannyk, Demetrios T. Papageorgiou, Peter G. Petropoulos, Jean-Marc Vanden-Broeck, Nonlinear Dynamics and Wall Touch-Up in Unstably Stratified Multilayer Flows in Horizontal Channels under the Action of Electric Fields Siam Journal on Applied Mathematics. ,vol. 75, pp. 92- 113 ,(2015) , 10.1137/140968070
J. Prathap Kumar, J.C. Umavathi, Basavaraj M. Biradar, Mixed convection of magneto hydrodynamic and viscous fluid in a vertical channel International Journal of Non-linear Mechanics. ,vol. 46, pp. 278- 285 ,(2011) , 10.1016/J.IJNONLINMEC.2010.09.008
Alessandra Borrelli, Giulia Giantesio, Maria Cristina Patria, Numerical simulations of three-dimensional MHD stagnation-point flow of a micropolar fluid Computers & Mathematics With Applications. ,vol. 66, pp. 472- 489 ,(2013) , 10.1016/J.CAMWA.2013.05.023
L. Talbot, V. C. A. Ferraro, C. Plumpton, An introduction to magneto-fluid mechanics ,(1961)