On Boundary Layer Stagnation Point Flow of a Nanofluid Over a Permeable Flat Surface With Newtonian Heating

Olanrewaju, A. M.; Makinde, Oluwole Daniel

doi:10.1080/00986445.2012.721825

Cited by 44 publications

(28 citation statements)

References 19 publications

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“…Furthermore, Olanrewaju and Makinde [28] have analyzed a boundary layer stagnation point flow of a nanofluid over a permeable flat surface with Newtonian heating. Still further, Wubshet and Shanker [29] have numerically examined the boundary-layer flow and heat transfer of Nanofluid over a vertical plate with convective surface boundary condition.…”

Section: Introductionmentioning

confidence: 99%

The effect of induced magnetic field and convective boundary condition on MHD stagnation point flow and heat transfer of upper-convected Maxwell fluid in the presence of nanoparticle past a stretching sheet

Ibrahim

2016

Propulsion and Power Research

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The present study examines the effect of induced magnetic field and convective boundary condition on magnetohydrodynamic (MHD) stagnation point flow and heat transfer due to upper-convected Maxwell fluid over a stretching sheet in the presence of nanoparticles. Boundary layer theory is used to simplify the equation of motion, induced magnetic field, energy and concentration which results in four coupled non-linear ordinary differential equations. The study takes into account the effect of Brownian motion and thermophoresis parameters. The governing equations and their associated boundary conditions are initially cast into dimensionless form by similarity variables. The resulting system of equations is then solved numerically using fourth order Runge-Kutta-Fehlberg method along with shooting technique. The solution for the governing equations depends on parameters such as, magnetic, velocity ratio parameter B, Biot number Bi, Prandtl number Pr, Lewis number Le, Brownian motion Nb, reciprocal of magnetic Prandtl number A, the thermophoresis parameter Nt, and Maxwell parameter β. The numerical results are obtained for velocity, temperature, induced magnetic field and concentration profiles as well as skin friction coefficient, the local Nusselt number and Sherwood number. The results indicate that the skin friction coefficient, the local Nusselt number and Sherwood number decrease with an increase in B and M parameters. Moreover, local Sherwood number -ϕ 0 (0) decreases with an increase in convective parameter Bi, but the local Nusselt number -θ 0 (0) increases with an increase in Bi. The results are displayed both in graphical and tabular form to illustrate the effect of the governing parameters on the dimensionless velocity, induced magnetic field, temperature and concentration. The numerical results are compared and found to be in good agreement with the previously published results on special cases of the problem.

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Section: Introductionmentioning

confidence: 99%

The effect of induced magnetic field and convective boundary condition on MHD stagnation point flow and heat transfer of upper-convected Maxwell fluid in the presence of nanoparticle past a stretching sheet

Ibrahim

2016

Propulsion and Power Research

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“…Nanofluid may be considered as a single phase flow in low solid concentration because of very small sized solid particles. Several experimental and theoretical studies have been made on the flow of nanofluids in different geometries (Choi et al 2001;Abu-Nada 2008;Makinde & Aziz 2011;Makinde 2012Makinde , 2013aMutuku-Njane & Makinde 2013;Olanrewaju & Makinde 2013;Motsumi & Makinde 2012). The nanofluid in the enclosure was assumed to be in single phase.…”

Section: Introductionmentioning

confidence: 99%

“…We have made use of a single component homogenous model in describing the nanofluids (Abu-Nada 2008; Makinde & Aziz 2011;Makinde 2012Makinde , 2013aMutuku-Njane & Makinde 2013;Olanrewaju & Makinde 2013;Motsumi & Makinde 2012;Oztop & Abu-Nada 2008;Wang & Mujumdar 2007). The justification of this model is based on the fact that the particles size are of nano-meter (1-100 nm) and these particles are mechanically and chemically suspended into the base fluid, consequently, the entire flow behaviour is similar to homogenous fluid with different thermophysical properties due to the presence of nano-sized particles (Choi 1995;Choi et al 2001).…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation into entropy generation in a transient generalized Couette flow of nanofluids with convective cooling

Mkwizu

Makinde

Nkansah-Gyekye

2015

Sadhana

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Abstract. This work investigates the effects of convective cooling on entropy generation in a transient generalized Couette flow of water-based nanofluids containing Copper (Cu) and Alumina (Al 2 O 3 ) as nanoparticles. Both First and Second Laws of thermodynamics are utilised to analyse the problem. The model partial differential equations for momentum and energy balance are tackled numerically using a semidiscretization finite difference method together with Runge-Kutta Fehlberg integration scheme. Graphical results on the effects of parameter variation on velocity, temperature, skin friction, Nusselt number, entropy generation rate, irreversibility ratio and Bejan number are presented and discussed.

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“…The boundary-layer flow and heat transfer of nanofluid over a vertical plate with a convective surface boundary condition was studied by Ibrahim and Shanker [25]. The investigation of boundary-layer stagnation point flow of a nanofluid past a permeable flat surface with Newtonian heating was carried by Olanrewaju and Makinde [26] , They used the Brownian motion and thermophoresis effects to describe the nanofluid model.…”

Section: Introductionmentioning

confidence: 99%

Viscous and Joule Heating in the Stagnation Point Nanofluid Flow Through a Stretching Sheet With Homogenous–Heterogeneous Reactions and Nonlinear Convection

Nandkeolyar

Motsa

Sibanda

2013

Journal of Nanotechnology in Engineering and Medicine

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The combined effects o f viscous and Joule heating on the stagnation point flow of a nano fluid through a stretching/shrinking sheet in the presence of homogeneous-heterogeneous reactions are investigated. The nanoparticle volume fraction model is used to describe the nanofluid. In this study, the density temperature relation is nonlinear which causes a nonlinear convective heat transfer. The surface of the sheet is assumed to be convectively heated with a hot fluid. The governing nonlinear differential equations are solved using the successive linearization method (SLM), and the results are validated by comparison with numerical approximations obtained using the matlab in-built boundary value prob lem solver bvp4c and with existing results in literature. The nanofluid problem finds applications in heat transfer devices where the density and temperature relations are complex and the viscosity of the fluid has significant effect on the heat transfer rate.

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On Boundary Layer Stagnation Point Flow of a Nanofluid Over a Permeable Flat Surface With Newtonian Heating

Cited by 44 publications

References 19 publications

The effect of induced magnetic field and convective boundary condition on MHD stagnation point flow and heat transfer of upper-convected Maxwell fluid in the presence of nanoparticle past a stretching sheet

The effect of induced magnetic field and convective boundary condition on MHD stagnation point flow and heat transfer of upper-convected Maxwell fluid in the presence of nanoparticle past a stretching sheet

Numerical investigation into entropy generation in a transient generalized Couette flow of nanofluids with convective cooling

Viscous and Joule Heating in the Stagnation Point Nanofluid Flow Through a Stretching Sheet With Homogenous–Heterogeneous Reactions and Nonlinear Convection

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