Numerical Solution of Flow and Heat Transfer over a Stretching Sheet with Newtonian Heating using the Keller Box Method

Sarif, Norhafizah Md; Salleh, Mohd Zuki; Nazar, Roslinda Mohd.

doi:10.1016/j.proeng.2013.02.070

Cited by 55 publications

(23 citation statements)

References 14 publications

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“…Viscous dissipation effect in the flow of nanofluid with Newtonian heating was studied by Makinde. 16 Sarif et al 17 examined boundary layer flow induced by stretching sheet with Newtonian heating. Newtonian heat effect in the three dimensional magnetohydrodynamic flow of couple stress fluid over a linear stretching sheet was reported by Ramzan et al 18 Makinde 19 constructed the computational modelling for unsteady MHD flow of viscous fluid past a flat plate with Newtonian heating and Navier slip effects.…”

Section: Introductionmentioning

confidence: 99%

Homogeneous-heterogeneous reactions in the stagnation point flow of carbon nanotubes with Newtonian heating

2015

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This work addresses the stagnation point flow of carbon nanotubes over an impermeable stretching cylinder with homogeneous-heterogeneous reactions. Modern heat transfer technique (i.e., Newtonian heating) and Carbon nanotubes (CNTs) and water are used to explore the impacts of heat transfer characteristics. Two types of CNTs are used as nanoparticles (i) Single-wall carbon nanotubes (SWCNTs) and (ii) multi-wall carbon nanotubes (MWCNTs). A system of ordinary differential equations is obtained by using suitable transformations. Convergent series solutions are derived via homotopic procedure. Impacts of various pertinent parameters on the velocity, temperature and concentration distributions are discussed graphically. Numerical values of skin friction coefficient and Nusselt number are computed and analyzed.

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Section: Introductionmentioning

confidence: 99%

Homogeneous-heterogeneous reactions in the stagnation point flow of carbon nanotubes with Newtonian heating

2015

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“…The boundary layer flow of nanofluid with Newtonian heating and viscous dissipation is studied by Makinde [20]. Sarif et al [21] observed boundary layer flow induced by a stretching sheet with Newtonian heating. Makinde [22] constructed the computational modelling for unsteady MHD flow of viscous fluid past a flat plate with Newtonian heating and Navier slip effects.…”

Section: Introductionmentioning

confidence: 99%

Boundary-Layer Flow of Walters’ B Fluid with Newtonian Heating

Hayat¹,

Shafiq

Mustafa

et al. 2015

Zeitschrift Für Naturforschung A

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This work studies the flow of Walters-B fluid over a stretching surface with Newtonian heating. The governing partial differential equations are first simplified through boundary layer approximations and then reduced into ordinary differential equations by using the appropriate substitutions. The resulting problems have been solved for the series solutions by a homotopic approach. Convergence analysis is performed and appropriate values are determined by plotting the so-called ℏ-curves. Graphical results for the dimensionless velocity and temperature are presented and discussed for various physical parameters. In addition, the expressions of skin friction coefficient and the local Nusselt number are presented. The dimensionless expressions of wall shear stress and wall mass flux are analysed graphically and numerically.

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“…Slip effects on MHD boundary layer flow over an exponentially stretching sheet with suction/blowing and thermal radiation shown by Mukhopadhyay (2013). Norhafizah et al (2013) studied numerical solution of flow and heat transfer over a stretching sheet with Newtonian heating using the Keller Box Method. Singh and Makinde (2015) presented a similarity solution for the combined effects of velocity slip and temperature jump on boundary layer flow over a moving surface.…”

Section: Introductionmentioning

confidence: 99%

MHD Slip Flow and Heat Transfer Over an Exponentially Stretching Permeable Sheet Embedded in a Porous Medium With Heat Source

Sharma¹,

Choudhary²,

Makinde³

2017

Frontiers in Heat and Mass Transfer

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Steady two dimensional laminar magnetohydrodynamic (MHD) slip flow and heat transfer of a viscous incompressible and electrically conducting fluid past over a flat exponentially non-conducting stretching porous sheet embedded in a porous medium with non uniform permeability in the presence of non uniform heat source is investigated. The governing equations of velocity and temperature distributions are solved numerically and the effects of different physical parameters are shown through graphs. The rate of shear stress and the rate of heat transfer at the sheet are derived, discussed numerically and their numerical values for various values of physical parameters are presented through tables.

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Numerical Solution of Flow and Heat Transfer over a Stretching Sheet with Newtonian Heating using the Keller Box Method

Cited by 55 publications

References 14 publications

Homogeneous-heterogeneous reactions in the stagnation point flow of carbon nanotubes with Newtonian heating

Homogeneous-heterogeneous reactions in the stagnation point flow of carbon nanotubes with Newtonian heating

Boundary-Layer Flow of Walters’ B Fluid with Newtonian Heating

MHD Slip Flow and Heat Transfer Over an Exponentially Stretching Permeable Sheet Embedded in a Porous Medium With Heat Source

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