MHD Buoyancy Flows of Cu, Al2O3 and TiO2nanofluid Near Stagnation-point on a Vertical Plate with Heat Generation
Ifsana Karim
Department of Chemical Engineering, School of Engineering, University of Newcastle, Callaghan, NSW 2308, Australia
Md. Sirajul Islam
Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science & Technology University, Gopalganj-8100, Bangladesh
Md. Shakhaoath Khan *
Department of Chemical Engineering, School of Engineering, University of Newcastle, Callaghan, NSW 2308, Australia
*Author to whom correspondence should be addressed.
Abstract
Magnetohydrodynamic mixed convection boundary layer flow of a nanofluid near the stagnation-point on a vertical plate with heat generation is investigated for both assisting and opposing flows are well thought-out. Different types of nanoparticles as copper (Cu), alumina (Al2O3) and titania (TiO2) considering here. Using similarity approach the system of partial differential equations is transformed into ordinary differential equations which strongly depend on the magnetic parameter (M), buoyancy parameter (λ), Prandtl number (Pr), heat generation parameter (Q) and volume fraction parameter (φ). The coupled differential equations are numerically simulated using the Nactsheim-Swigert shooting technique together with Runge-Kutta six order iteration schemes. The velocity and temperature profiles are discussed and presented graphically. The comparison for dimensionless skin friction coefficient and local Nusselt number with previously published literature also take into account for the accuracy of the present analysis.
Keywords: MHD, mixed convection, nanofluid, heat generation, stagnation-point flow