Natural convection flow of a nanofluid in an enclosure under an inclined uniform magnetic field

In this study, the natural convection in a square enclosure filled with water-based aluminium oxide (Al2O3) under the influence of an externally applied inclined magnetic field is considered numerically. The flow is steady, two-dimensional and laminar; the nanoparticles and water are assumed to be in thermal equilibrium. The governing equations are solved in terms of stream function-vorticity-temperature using both the dual reciprocity boundary element method and the finite element method to see the influence of characteristic flow parameters, namely: solid volume fraction (phi), inclination angle (gamma), Rayleigh (Ra) and Hartmann (Ha) numbers. Numerical simulations are performed for 0 <= phi <= 0.2, gamma = 0, pi/4, pi/3, pi/2, and the values of Rayleigh and Hartmann numbers up to 107 and 300, respectively. The results show that the buoyancy-driven circulating flows undergo inversion of direction as Ra and Ha increase, and magnitudes of streamlines and vorticity contours increase as Ra increases, but decrease as Ha increases. The isotherms have a horizontal profile for high Ra values as a result of convective dominance over conduction. As Ha increases, effect of the convection on flow is reduced, thus the isotherms tend to have vertical profiles.


FEM solution to natural convection flow of a micropolar nanofluid in the presence of a magnetic field
TÜRK, ÖNDER; Tezer, Münevver (2017-03-01)
The two-dimensional, laminar, unsteady natural convection flow in a square enclosure filled with aluminum oxide ()-water nanofluid under the influence of a magnetic field, is considered numerically. The nanofluid is considered as Newtonian and incompressible, the nanoparticles and water are assumed to be in thermal equilibrium. The mathematical modelling results in a coupled nonlinear system of partial differential equations. The equations are solved using finite element method (FEM) in space, whereas, the ...
Stabilizing subgrid FEM solution of the natural convection flow under high magnitude magnetic field on sinusoidal corrugated enclosure
Aydın, S. H.; Tezer, Münevver (Informa UK Limited, 2019-7-7)
This study deals with the stabilized finite element solution of the steady, natural convection flow in an enclosure under a magnetic field applied perpendicular to the sinusoidal corrugated vertical walls of the enclosure, in terms of primitive variables. Several vertical sinusoidal functions are selected for the comparison. A stabilized FEM scheme called SSM is proposed in order to obtain a stable solution for the high values of problem parameters with a cheap computational cost. Proposed numerical scheme ...
MHD natural convection in a semi-annulus enclosure filled with water-based nanofluid using DRBEM
Oglakkaya, F. S.; Bozkaya, Canan (2016-10-01)
Natural convection of a water-based nanofluid consisting Cu nanoparticles in a semi-annulus enclosure subjected to a magnetic field is considered. The inner wall has constant heat flux, the outer wall is maintained at a cold temperature and the other two walls are thermally insulated. The governing equations derived by considering the effect of magnetic field are solved numerically using the dual reciprocity boundary method (DRBEM) with constant elements. The boundary only nature of the dual reciprocity met...
Magnetohydrodynamic convection of Cu-water nanofluid in a square cavity with a circular cylinder
Bozkaya, Canan (2016-01-01)
The hydromagnetic free convection of a Cu-water nanofluid in a square cavity involving an adiabatic circular cylinder is numerically investigated in the presence of an inclined uniform magnetic field. The left and right walls of the cavity are kept at constant hot and cold temperatures, respectively, while the horizontal walls are assumed to be adiabatic. The coupled nonlinear equations of mass, momentum and energy governing the present problem are discretized using the dual reciprocity boundary element met...
Natural convection heat transfer from inclined plate-fin heat sinks
Tarı, İlker (2013-01-01)
The steady-state natural convection from heat sinks with parallel arrangement of rectangular cross section vertical plate fins on a vertical base are numerically investigated in order to obtain a validated model that is used for investigating inclined orientations of a heat sink. Taking a previous experimental study as a basis, aluminum heat sinks with two different practical lengths are modeled. The models and the simulation approach are validated by comparing the flat plate heat sink results with the avai...
Citation Formats
M. Tezer and C. Bozkaya, “Natural convection flow of a nanofluid in an enclosure under an inclined uniform magnetic field,” EUROPEAN JOURNAL OF COMPUTATIONAL MECHANICS, pp. 2–23, 2016, Accessed: 00, 2020. [Online]. Available: