Buoyancy effects on MHD stagnation point flow and heat transfer of a nanofluid past a convectively heated stretching/shrinking sheet

Makinde, Oluwole Daniel; Khan, Waqar A.; Khan, Zafar Hayat

doi:10.1016/j.ijheatmasstransfer.2013.03.049

Cited by 356 publications

(162 citation statements)

References 22 publications

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“…Fourth order R-K method based shooting technique has been employed by Freidoonimehr et al [16] to solve the differential equations describing the unsteady MHD free convection flow in a nanofluid past a permeable accelerating stretching vertical surface in the form of assisting flow. Makinde et al [17] studied the combined effects of buoyancy force and convective heating on MHD stagnation point nanofluid flow from a vertically heated stretching/shrinking sheet as well as Makinde et al [18] also studied MHD flow of variable viscosity nanofluid over radially stretching convective surface. Selimefendigil and Oztop [19][20][21] adopted FEM to investigate the influence of inclined magnetic field under different geometries which includes backward facing step, cavity with oscillating lid and isothermal cylinders portioned with a conductive ring respectively.…”

Section: Introductionmentioning

confidence: 99%

Numerical study of heat source/sink effects on dissipative magnetic nanofluid flow from a non-linear inclined stretching/shrinking sheet

Thumma¹,

Bég

Kadir

2017

Journal of Molecular Liquids

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This paper numerically investigates radiative magnetohydrodynamic mixed convection boundary layer flow of nanofluids over a nonlinear inclined stretching/shrinking sheet in the presence of heat source/sink and viscous dissipation. The Rosseland approximation is adopted for thermal radiation effects and the Maxwell-Garnetts and Brinkman models are used for the effective thermal conductivity and dynamic viscosity of the nanofluids respectively. The governing coupled nonlinear momentum and thermal boundary layer equations are rendered into a system of ordinary differential equations via local similarity transformations with appropriate boundary conditions. The non-dimensional, nonlinear, well-posed boundary value problem is then solved with the Keller box implicit finite difference scheme. The emerging thermo-physical dimensionless parameters governing the flow are the magnetic field parameter, volume fraction parameter, power-law stretching parameter, Richardson number, suction/injection parameter, Eckert number and heat source/sink parameter. A detailed study of the influence of these parameters on velocity and temperature distributions is conducted. Additionally the evolution of skin friction coefficient and Nusselt number values with selected parameters is presented. Verification of numerical solutions is achieved via benchmarking with some limiting cases documented in previously reported results, and generally very good correlation is demonstrated. This investigation is relevant to fabrication of magnetic nanomaterials and high temperature treatment of magnetic nano-polymers.

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Section: Introductionmentioning

confidence: 99%

Numerical study of heat source/sink effects on dissipative magnetic nanofluid flow from a non-linear inclined stretching/shrinking sheet

Thumma¹,

Bég

Kadir

2017

Journal of Molecular Liquids

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“…Series solutions for the boundary layer flow of nanofluid over an exponentially stretching surface were given by Nadeem and Lee [9]. Mixed convection stagnation point flow of nanofluid over a stretching/shrinking sheet was numerically examined by Makinde et al [10]. Stagnation point flow of nanofluid over an exponentially stretching sheet was studied by Mustafa et al [11].…”

Section: Introductionmentioning

confidence: 99%

Influence of convective heat and mass conditions in MHD flow of nanofluid

Shehzad¹,

Hayat²,

Alsaedi³

2015

Bulletin of the Polish Academy of Sciences Technical Sciences

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Abstract. This article aims to investigate the two-dimensional magnetohydrodynamic (MHD) boundary layer flow of nanofluid. Convective mass condition is introduced. Analysis has been discussed in the presence of an applied magnetic field. The Brownian motion and thermophoresis effects are incorporated. The arising nonlinear problems are first converted to ordinary differential equations and then series solutions are constructed. Convergence of series solutions is examined through plots and numerical values. Results are plotted and discussed for the temperature and concentration. Numerical computations for skin-friction coefficient, local Nusselt and Sherwood numbers are performed and analyzed. Comparison with the previous limiting case is noted in an excellent agreement.

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“…The minority current studies covering similar topics are cited in Refs. [5][6][7][8][9][10][11][12][13][14][15][16]. Besides stagnation point flow, stretching surfaces has a ample range of applications in engineering and numerous technical purposes predominantly in metallurgy and polymer industry.…”

Section: Introductionmentioning

confidence: 99%

Effects of Brownian Motion and Thermophoresis on Magneto Hydrodynamics Stagnation Point of a Nanofluid Boundary Layer Flow on a Stretching Surface with Variable Thickness

2017

IJCRR

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The paper aims to investigate the properties of Brownian motion and Thermophoresis magento hydro dynamics (MHD) stagnation point of a Nanofluid Boundary layer flow on a stretching surface with inconsistent thickness. The effect of inconsistent thickness is considered and understood that the sheet is defiant. A governing continuity, momentum, angular momentum and heat equations mutually with allied boundary conditions are first abridged to a set of self-similar non-linear united ordinary differential equations by appropriate transformations. These equations are solved numerically by using the Keller Box method. The influence of magnetic parameter M reduced the velocity profile while it increases temperature and nanoparticle volume fraction profiles. It is seen that the boundary layer is formed when l>1 and on other hand an inverted boundary layer is formed when <1.

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Buoyancy effects on MHD stagnation point flow and heat transfer of a nanofluid past a convectively heated stretching/shrinking sheet

Cited by 356 publications

References 22 publications

Numerical study of heat source/sink effects on dissipative magnetic nanofluid flow from a non-linear inclined stretching/shrinking sheet

Numerical study of heat source/sink effects on dissipative magnetic nanofluid flow from a non-linear inclined stretching/shrinking sheet

Influence of convective heat and mass conditions in MHD flow of nanofluid

Effects of Brownian Motion and Thermophoresis on Magneto Hydrodynamics Stagnation Point of a Nanofluid Boundary Layer Flow on a Stretching Surface with Variable Thickness

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