Numerical solution of a steady natural convection flow from a vertical plate with the combined effects of streamwise temperature and species concentration variations

Roy, Nepal Chandra; Hossain, M. A.

doi:10.1007/s00231-010-0591-9

Cited by 18 publications

(13 citation statements)

References 13 publications

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“…Throughout the calculations, the conditions are used for a micropolar fl uid with Δ = 1 (corresponds to the case where the micropolar vortex viscosity is identical to the fl uid dynamic viscosity), i.e., is strongly non-Newtonian (unless otherwise indicated), with the Prandtl number Pr = 1.0 corresponding to an electrolyte solution such as salt water, and also with Sc = 0.6 that represents a diffusion chemical species of most common interest in water, for the case n = 0 (strong concentration of microelements) and B = 0.1. The value of the corresponding buoyancy force parameter (ratio of the buoyancy force due to mass diffusion to the buoyancy force due to the thermal diffusion) w takes the value 0.5 for low concentration at a = 0.5 [the effects of these parameters were mentioned earlier, see (Roy and Hossain, 2010;Chamkha et al, 2013]. The present model is reduced to a purely micropolar fl ow without porous medium effects when Da → ∞, i.e., the medium permeability becomes infi nite, so that in the limit that the Darcian drag becomes vanishingly small.…”

Section: Resultsmentioning

confidence: 99%

“…In addition, the fl uid is considered to be a gray, absorbing-emitting radiative but nonscattering medium, and the Rosseland approximation is used to describe the radiative heat fl ux in the energy equation. By invoking all of the boundary layer, Boussinesq and Rosseland diffusion approximations, the governing equations for this problem can be written as [see, for instance, (Roy and Hossain, 2010;Chamkha et al, 2013]…”

Section: Governing Equationsmentioning

confidence: 99%

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Effects of Radiation and Chemical Reaction on Heat and Mass Transfer by Natural Convection in a Micropolar Fluid-Saturated Porous Medium With Streamwise Temperature and Species Concentration Variations

2014

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In this paper, the problem of coupled heat and mass transfer by a natural-convection boundary-layer fl ow of a micropolar fl uid past a vertical fl at plate in a saturated porous medium with streamwise sinusoidal variations of both the surface temperature and species concentration in the presence of thermal radiation and chemical reaction eff ects is investigated. A suitable set of dimensionless variables is used to transform the governing equations of the problem into a nonsimilar form. The resulting nonsimilar equations have the property that they reduce to various special cases previously considered in the literature. An adequate and effi cient implicit, tridiagonal fi nite diff erence 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. A representative set of numerical results for the velocity, temperature, and concentration profi les as well as the surface shear stress, rate of heat transfer, and the rate of mass transfer is presented graphically to show interesting features of the solutions.

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Section: Resultsmentioning

confidence: 99%

Section: Governing Equationsmentioning

confidence: 99%

Effects of Radiation and Chemical Reaction on Heat and Mass Transfer by Natural Convection in a Micropolar Fluid-Saturated Porous Medium With Streamwise Temperature and Species Concentration Variations

2014

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“…Molla et al [20] investigated radiation effect for free convection laminar flow along a vertical flat plate with streamwise sinusoidal surface temperature. Roy and Hossain [21] studied the steady natural convection flow over a vertical flat plat with the combined effects of streamwise temperature and species concentration variation. They studied the variation of the surface shear stress coefficient with the coefficients of the rates of heat transfer.…”

Section: Introductionmentioning

confidence: 99%

Mixed Convection Over a Horizontal Plate With Streamwise Non-Uniform Surface Temperature Distribution

Hasan

Saha²,

2013

Journal of Heat Transfer

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Numerical investigation on mixed convection of a two-dimensional incompressible laminar flow over a horizontal flat plate with streamwise sinusoidal distribution of surface temperature has been performed for different values of Rayleigh number, Reynolds number and frequency of periodic temperature for constant Prandtl number and amplitude of periodic temperature. Finite element method adapted to rectangular nonuniform mesh elements by a nonlinear parametric solution algorithm basis numerical scheme has been employed. The investigating parameters are the Rayleigh number, the Reynolds number and frequency of periodic temperature. The effect of variation of individual investigating parameters on mixed convection flow characteristics has been studied to observe the hydrodynamic and thermal behavior for while keeping the other parameters constant. The fluid considered in this study is air with Prandtl number 0.72. The results are obtained for the Rayleigh number range of l(f to W*, Reynolds number ranging from 1 to 100 and the frequency of periodic temperature from 1 to 5. Isotherms, streamlines, average and local Nusselt numbers are presented to show the effect of the different values of aforementioned investigating parameters on fluid flow and heat transfer.

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“…To define the periodic array of heaters behind or within the wall, Rees [26] proposed another form of surface temperature variation with sinusoidal variations about the mean temperature which is held above the ambient temperature of the fluid. These types of boundary heating have been investigated by, among others, Pop and Ingham [27], Roy and Hossain [28], Saha et al [29], Molla et al [30], and Rana and Bhargava [31]. The momentum, heat, and mass transfer equations are reduced into nonlinear partial differential equations form.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Nanofluid Flow over Heated Vertical Surface with Sinusoidal Wall Temperature Variations

Motsa

Awad

Khumalo

2014

Abstract and Applied Analysis

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The nonlinear density temperature variations in two-dimensional nanofluid flow over heated vertical surface with a sinusoidal wall temperature are investigated. The model includes the effects of Brownian motion and thermophoresis. Using the boundary layer approximation, the two-dimensional momentum, heat, and mass transfer equations are transferred to nonlinear partial differential equations form and solved numerically using a new method called spectral local linearisation method. The effects of the governing parameters on the fluid properties and on the heat and nanomass transfer coefficients are determined and shown graphically.

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Numerical solution of a steady natural convection flow from a vertical plate with the combined effects of streamwise temperature and species concentration variations

Cited by 18 publications

References 13 publications

Effects of Radiation and Chemical Reaction on Heat and Mass Transfer by Natural Convection in a Micropolar Fluid-Saturated Porous Medium With Streamwise Temperature and Species Concentration Variations

Effects of Radiation and Chemical Reaction on Heat and Mass Transfer by Natural Convection in a Micropolar Fluid-Saturated Porous Medium With Streamwise Temperature and Species Concentration Variations

Mixed Convection Over a Horizontal Plate With Streamwise Non-Uniform Surface Temperature Distribution

Nonlinear Nanofluid Flow over Heated Vertical Surface with Sinusoidal Wall Temperature Variations

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