Natural convection - Radiation interaction in boundary layer flow over horizontal surfaces

Ali, Muhammad Zeshan; Chen, T.S.; Armaly, Bassem F.

doi:10.2514/6.1982-917

Cited by 30 publications

(39 citation statements)

References 7 publications

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“…It should be mentioned that the behavior of the local Nusselt number will be different than given in Figure 18 for R dˆ1 0 (as evident from Eqs. (15)) where its values will be higher than those associated with R dˆ0 for all values of f o . All of the above trends are evident from Figures 17 through 19.…”

Section: Natural Convection About a Truncated Cone 527mentioning

confidence: 99%

“…Viskanta and Grosh [14] have considered boundary layer £ow in thermal radiation absorbing and emitting media. Ali et al [15] have considered natural convection-radiation interaction in boundary layer £ow over horizontal surfaces. Hossain and coworkers [16^18] have reported on natural convection radiation interaction from an inclined plate and vertical cylinders with circular elliptic cross sections.…”

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confidence: 99%

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Coupled Heat and Mass Transfer by Natural Convection About a Truncated Cone in the Presence of Magnetic Field and Radiation Effects

Chamkha¹

2001

Numerical Heat Transfer: Applications

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This work is focused on steady, laminar, coupled heat and mass transfer by natural convect ive boundary layer ow over a permeable isothermal truncated cone in the presence of magnetic eld and radiation effect s. A suitable set of dimensionless variables is used and nonsimilar equations governing the problem are obtained. The resulting equations have the property that they reduce to various special cases previously considered in the literature. An adequate implicit, tridiagonal nite difference scheme is employed for the numerical solution of the obtained equations. Various comparisons with previously published work are performed and the results are found to be in excellent agreement. Represent ative results for the velocity, temperature, and concentration pro les as well as the local skin-friction coef cient; local Nusselt number and the local Sherwood number illustrating the in uence of the Hartmann number; the concentration to thermal buoyancy ratio; and the wall mass transfer coef cient are presented and discussed. INTROD UCTIONThis article deals with steady, laminar, heat and mass transfer by natural convection hydromagnetic boundary layer £ow around an isothermal permeable truncated cone. This £ow and heat transfer situation is of considerable interest because it can occur in many geothermal, geophysical, technological, and engineering applications such as nuclear reactors, migration of moisture through air contained in ¢brous insulations, grain storage, nuclear waste disposal, dispersion of chemical pollutants through water-saturated soil, and others. The geothermal gases are electrically conducting and are affected by the presence of a magnetic ¢eld. The same is found regarding the cooling of nuclear reactors (see Aldoss et al. [1]).The natural convection heat transfer mode in various geometries has received a great deal of attention. For example, Kao [2] has reported on the local nonsimilarity solution for laminar natural convection adjacent to a vertical surface. Na [3] has considered natural convective £ow past a nonisothermal vertical £at plate and reported a numerical solution. Lin and Chen [4] have studied mixed convection on a vertical plate for £uids on any Prandtl number. The laminar natural convection

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Section: Natural Convection About a Truncated Cone 527mentioning

confidence: 99%

mentioning

confidence: 99%

Coupled Heat and Mass Transfer by Natural Convection About a Truncated Cone in the Presence of Magnetic Field and Radiation Effects

Chamkha¹

2001

Numerical Heat Transfer: Applications

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“…u is the x-component of velocity, υ is the y-component of velocity, T is the fluid temperature, C is the solute concentration, ρ is the fluid density, ν is the fluid kinematic viscosity, 1 k is the permeability of the porous medium, k are Stefan-Boltzmann constant and mean absorption coefficient, respectively. For sufficiently small temperature differences and following many previous investigators such as Ali et al (1984), Mansour (1989), Mansour (1990), Perdikis and Raptis (1996), Raptis and Massalas (1998), Elbashbeshy and Bazid (2000), Ganesan and Loganathan (2002), El-Arabawy (2003) and Siddheshwar and Mahabaleswar (2005), Equation (5) The relevant boundary conditions for each of the cases of the problem under consideration are:…”

Section: Mathematical Analysismentioning

confidence: 99%

“…Pantokratoras (2006) discussed the Falkner-Skan flow with constant wall temperature and variable viscosity. The therrmal radiation effect on natural convection in laminar boundary layer flow with constant properties over an isothermal flat plate was investigated by Ali, et al (1984). Again, the radiative mode of heat transfer becomes important when the temperature difference between the plate surface and ambient is large.…”

Section: Introductionmentioning

confidence: 99%

Non-Similar Solutions for Heat and Mass Transfer from a Surface Embedded in a Porous Medium for Two Prescribed Thermal and Solutal Boundary Conditions

Aly¹,

Chamkha²

2010

International Journal of Chemical Reactor Engineering

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This work studies the effects of homogeneous chemical reaction and thermal radiation on coupled heat and mass transfer by free convection from a surface embedded in a fluid-saturated porous medium. Two different cases of thermal and solutal boundary conditions, namely the prescribed surface temperature and concentration (PSTC) case and the prescribed heat and mass fluxes (PHMF) case are considered. The governing boundary-layer equations are formulated and transformed into a set of non-similar equations. The resulting equations are solved numerically by an accurate and efficient implicit finite-difference method. The obtained results compared with previously published work and found to be in excellent agreement. A representative set of results is displayed graphically to illustrate the influence of the radiation parameter, chemical reaction parameter and the permeability of the porous medium on the velocity, temperature and concentration fields as well as the local skin-friction coefficient, local Nusselt number and the local Sherwood number.

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“…The free convection flow in the presence of radiation has been previously studied by Ali et al [1], Seddeek and Abdelmeguid [2], Raptis and Toki [3], and Malekzadeh et al [4]. The magnetohydrodynamic (MHD) flow in the presence of radiation has been investigated by Chamkha et al [5], Raptis et al [6], Duwairi [7], Ouaf [8], Abd-El Aziz [9], Pal and Mondal [10] and Shit and Haldar [11].…”

Section: Introductionmentioning

confidence: 99%

Radiation Effects on Flow past a Stretching Plate with Temperature Dependent Viscosity

Xenos¹

2013

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The effect of radiation on the flow over a stretching plate of an optically thin gray, viscous and incompressible fluid is studied. The fluid viscosity is assumed to vary as an inverse linear function of the temperature. The partial differential equations (PDEs) and their boundary conditions, describing the problem under consideration, are dimensionalized and the numerical solution is obtained by using the finite volume discretization methodology which is suitable for fluid mechanics applications. The numerical results for the velocity and temperature profiles are shown for different dimensionless parameters entering the problem under consideration, such as the temperature parameter, θ r , the radiation parameter, S, and the Prandtl number, Pr. The numerical results indicate a strong influence of these parameters on the non-dimensional velocity and temperature profiles in the boundary layer.

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Natural convection - Radiation interaction in boundary layer flow over horizontal surfaces

Cited by 30 publications

References 7 publications

Coupled Heat and Mass Transfer by Natural Convection About a Truncated Cone in the Presence of Magnetic Field and Radiation Effects

Coupled Heat and Mass Transfer by Natural Convection About a Truncated Cone in the Presence of Magnetic Field and Radiation Effects

Non-Similar Solutions for Heat and Mass Transfer from a Surface Embedded in a Porous Medium for Two Prescribed Thermal and Solutal Boundary Conditions

Radiation Effects on Flow past a Stretching Plate with Temperature Dependent Viscosity

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