Mixed Convective Heat Transfer Flow of Nanofluid past a Permeable Vertical Flat Plate with Magnetic Effects: A Finite Element Study

Abstract:

Steady, two dimensional mixed convection laminar boundary layer flow of incompressible nanofluid along a permeable vertical semi-infinite flat plate with magnetic field effects has been investigated numerically. The resulting govering equations (obtained from the boussinesq) with associated boundary conditions are solved, using a robust, extensively validated, Galerkin Finite Element Method for different types of spherical shaped metal oxide nanoparticles with two different ratios of the nanolayer thickness to the original particle radius (0.02 or 0.1). The effects of the parameters governing the problems are discussed and shown graphically. The present study is of immediate interest in next-generation solar film collectors, heat exchangers technology, material processing exploiting vertical surfaces and all those processes which are highly affected with heat transfer.

• Periodical: Applied Mechanics and Materials (Volumes 110-116)
• Pages: 3679-3687
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.110-116.3679
• Online since: October 2011
• Authors: Puneet Rana, Rama R. Bhargava
• Keywords: Boundary Layer, Finite Element Method (FEM), Magnetic Field, Mixed Convection, Nanofluid, Vertical Plate

References

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[10] Present results 0. 01 - 0. 051437 0. 059621 0. 1 0. 1580 0. 148123 0. 157901 1 0. 3320 0. 332000 0. 331980 10 0. 7300 0. 727801 0. 727802 100 1. 5700 1. 573141 1. 573143 Figure 2. Dimentionless velocity (a) and temperature (b) profiles for different mixed convection parameter (Ri)while Pr= 6. 2 and M=1. 0 Figure 3. Numerical values of Skin friction coefficient (a) and Nusselt number (b) profiles for different Ri while Pr= 6. 2 and M=1. 0 Figure 4. Dimentionless velocity (a) and temperature (b) profiles for different magnetic parameter (M)while Pr= 6. 2 and Ri=1. 0 Figure 5. Numerical values of Skin friction coefficient (a) and Nusselt number (b) profiles for different M while Pr= 6. 2 and Ri=1. 0. Figure 6. Numerical values of Nusselt number (a) for different suction/injection parameter while Pr=6. 2, Ri=1. 0 and M=1. 0 and Average Nusselt number (b) for different types of nanoparticle.

DOI: 10.7554/elife.02670.015