Magnetohydrodynamic Flow of a Non-Newtonian Nanofluid Over an Impermeable Surface with Heat Generation/Absorption

Abstract

An analysis has been carried out to study the magnetohydrodynamic boundary layer flow and heat transfer characteristics of a non-Newtonian nanofluid over a flat sheet in the presence of heat generation/absorption. The governing nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations using similarity transformations and then tackled numerically using the RungeKutta-Fehlberg-45 method. The velocity, temperature and nanoparticle concentration profiles are analyzed with respect to the involved parameters, namely, Prandtl number Pr, magnetic parameter M, source/sink parameter A, Brownian motion parameter N b , thermophoresis parameter N t and Lewis number Le. It is found that the temperature of the fluid increases with the increase in heat source parameter and decreases with heat sink parameter.

The Force Convection Heat Transfer of a Nanofluid over a Flat Plate: using the Buongiorno’s model: the Thermophysical Properties as a Function of Nanoparticles

“…Using scale analyze, Buongiorno [6] have examined the forces, which may act on the nanoparticles in the base fluid. The results show that the Brownian motion and thermophoresis are the main important forces causing the drift flux (slip velocity) of nanoparticles in the base fluid [11][12][13][14][15][16][17][18]. Using a homogeneous model of nanofluid, Bachok et al [9] have analyzed the boundary layer flow and heat transfer of nanofluids over a flat plate.…”

“…As seen, the reduced Nusselt number is a function of the ratio of thermal conductivity of the nanofluid and the base fluid. In the previous studies [8][9][10][11][11][12][13][14][15][16][17][18], the Reynolds number is assumed to be fixed for both of the base fluid flow and nanofluid. However, the viscosity of nanofluid is a function of nanoparticles volume fraction.…”

Numerical Study of the Influence of Heat Source on Stagnation Point Flow towards a Stretching Surface of a Jeffrey Nanoliquid

“…Nadeem et al [22] studied the natural convection boundary layer flow over a downward-pointing vertical cone in a porous medium saturated with a non-Newtonian nanofluid in the presence of heat generation or absorption and they used power-law model. Some interesting recent investigations related to the topic are presented in [23][24][25].…”

Convective Heat Transfer in Three-Dimensional Boundary-Layer Flow of Viscoelastic Nanofluid

“…A steady laminar flow of a non-Newtonian Jeffrey fluid over a stretching sheet in the presence of nanoparticles is studied by Nadeem et al [21]. Ramesh et al [22] extended this work with by magnetohydrodynamic and internal heat source/sink effects. Recently, Gireesha et al [23] studied the effects of nanoparticles on boundarylayer flow of a dusty fluid model through a porous media.…”

“…Further, the impact of heat generation/absorption has significant applications including dislocating of fluids in packed bed reactors, storage of foodstuffs, heat removal from nuclear fuel debris, underground disposal of radioactive waste material, etc. Representative studies on the influence of thermal radiation, heat source sink, and convective boundary conditions are found in Abel et al [8], Ramesh et al [22], Olajuwon [24], Pal [25], Alsaedi et al [26], Bataller [27], Hamad and Ferdows [28], Yacob et al [29], Zaib and Shafie [30], Gireesha and Mahanthesh [31], Goyal and Bhargava [32], and Makinde and Aziz [33].…”