Natural-convection boundary-layer flow on a vertical surface with Newtonian heating

Merkin, J. H.

doi:10.1016/0142-727x(94)90053-1

Cited by 248 publications

(156 citation statements)

References 9 publications

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“…The convective forced flow is assumed to be moving upward, while the gravity vector g acts downward in the opposite direction, where the coordinates x and y are chosen such that x measures the distance along the surface of the sphere from the lower stagnation point and y measures the distance normal to the surface of the sphere. We assume that the equations are subjected to a Newtonian heating of the form proposed by Merkin [10]. Under the Boussinesq and boundary layer approximations, the basic equations are (Nazar et al [6,8])…”

Section: Discussionmentioning

confidence: 99%

“…This situation arises in conjugate heat transfer problems (see, e.g., Merkin and Pop [9]), and also when there is Newtonian heating of the convective fluid from the surface. The latter case has been first discussed in detail by Merkin [10]. The situation with Newtonian heating arises in what are usually termed conjugate convective flows, where the heat is supplied to the convecting fluid through a bounding surface with a finite heat capacity.…”

Section: Introductionmentioning

confidence: 99%

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Mixed Convection Boundary Layer Flow from a Solid Sphere with Newtonian Heating in a Micropolar Fluid

Salleh

Pop

2010

SRX Physics

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The steady mixed convection boundary layer flow from a solid sphere in a micropolar fluid, generated by Newtonian heating in which the heat transfer from the surface is proportional to the local surface temperature, is considered. The governing boundary layer equations are first transformed into a system of nondimensional equations via the non-dimensional variables, and then into nonsimilar equations before they are solved numerically using an implicit finite-difference scheme known as the Keller-box method. Numerical solutions are obtained for the skin friction coefficient, wall temperature and heat transfer coefficient, as well as the velocity and temperature profiles with several parameters considered, namely the mixed convection parameter, the material or micropolar parameter, and the Prandtl number.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mixed Convection Boundary Layer Flow from a Solid Sphere with Newtonian Heating in a Micropolar Fluid

Salleh

Pop

2010

SRX Physics

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“…Similarly, heat transfer is concerned with the exchange of thermal energy from one physical system to another. Merkin (1994) presented the most recent heating phenomenon, namely Newtonian heating (NH), in which the heat transfer rate from the bounding surface with a finite heat capacity is proportional to the local surface temperature and which is usually termed conjugate convective flow. Various authors have analyzed the simultaneous effects of heat and mass transport phenomena for the flows of nonNewtonian fluids under these conditions.…”

Section: Introductionmentioning

confidence: 99%

Newtonian Heating, Thermal-Diffusion and Diffusion-Thermo Effects in an Axisymmetric Flow of a Jeffery Fluid Over a Stretching Surface

Awais

Hayat

Nawaz

et al. 2015

Braz. J. Chem. Eng.

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-In this communication we have investigated the phenomenon of Newtonian heating under the application of a uniform magnetic field when thermal-diffusion "Soret" and diffusion-thermo "Dufour" effects appear in the energy and concentration equations in a flow of a Jeffery fluid. The flow is induced by the stretching of a disk in the radial direction. The solutions of the nonlinear equations governing the velocity, temperature and concentration profiles are solved analytically "using HAM" and graphical results for the resulting parameters are displayed and discussed. Numerical values of local Nusselt and Sherwood numbers for different values of physical parameters are computed and shown. It is shown that the magnetic field retards the flow, whereas Newtonian heating acts as a boosting agent which enhances the flow. It is also noted that the combined Soret and Dufour effects on the temperature and concentration profiles are opposite.

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“…The distinct feature of this type of convection is that it does not depend on local surface temperature to act as heat sink (Chaudhary and Jain, 2006) and hence Newtonian heating conditions enhances the heat transfer application to a relatively wider range. Merkin (1994) practically demonstrated the phenomenon of free-convection boundary layer for the first time followed by overwhelming number of studies where Newtonian heating applications were investigated (Lesnic et al, 2000;Lesnic et al, 2004;Salleh et al, 2011). Initial studies pertaining to convective heat transfer revealed that Newtonian conditions were first simply analyzed for vertical flat plate immersed in a viscous fluid (Merkin (1994) later on complex conditions where vertical and horizontal surfaces embedded in a porous medium were also considered (Lesnic et al, 2004).…”

Section: Introductionmentioning

confidence: 99%

MHD biconvective flow of Powell Eyring nanofluid over stretched surface

et al. 2017

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The present work is focused on behavioral characteristics of gyrotactic microorganisms to describe their role in heat and mass transfer in the presence of magnetohydrodynamic (MHD) forces in Powell-Eyring nanofluids. Implications concerning stretching sheet with respect to velocity, temperature, nanoparticle concentration and motile microorganism density were explored to highlight influential parameters. Aim of utilizing microorganisms was primarily to stabilize the nanoparticle suspension due to bioconvection generated by the combined effects of buoyancy forces and magnetic field. Influence of Newtonian heating was also analyzed by taking into account thermophoretic mechanism and Brownian motion effects to insinuate series solutions mediated by homotopy analysis method (HAM). Mathematical model captured the boundary layer regime that explicitly involved contemporary non linear partial differential equations converted into the ordinary differential equations. To depict nanofluid flow characteristics, pertinent parameters namely bioconvection Lewis number Lb, traditional Lewis number Le, bioconvection Péclet number Pe, buoyancy ratio parameter Nr, bioconvection Rayleigh number Rb, thermophoresis parameter Nt, Hartmann number M, Grashof number Gr, and Eckert number Ec were computed and analyzed. Results revealed evidence of hydromagnetic bioconvection for microorganism which was represented by graphs and tables. Our findings further show a significant effect of Newtonian heating over a stretching plate by examining the coefficient values of skin friction, local Nusselt number and the local density number. Comparison was made between Newtonian fluid and Powell-Eyring fluid on velocity field and temperature field. Results are compared of with contemporary studies and our findings are found in excellent agreement with these studies.

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Natural-convection boundary-layer flow on a vertical surface with Newtonian heating

Cited by 248 publications

References 9 publications

Mixed Convection Boundary Layer Flow from a Solid Sphere with Newtonian Heating in a Micropolar Fluid

Mixed Convection Boundary Layer Flow from a Solid Sphere with Newtonian Heating in a Micropolar Fluid

Newtonian Heating, Thermal-Diffusion and Diffusion-Thermo Effects in an Axisymmetric Flow of a Jeffery Fluid Over a Stretching Surface

MHD biconvective flow of Powell Eyring nanofluid over stretched surface

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