Influence of variable heat flux on natural convection along a corrugated wall in porous media

Shalini, .; Kumar, Binit

doi:10.1016/j.cnsns.2006.02.003

Cited by 7 publications

(5 citation statements)

References 22 publications

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“…Another aspect emphasized with regard to Fig. 4 is that the wavy wall presents higher temperature and concentration compared to the plane wall (an aspect noticed before [21]) for all cases presented except the S c = 0.2 case. At this large value of mass stratification, the complex pattern of surface temperature and concentration variations of a wavy wall shifts above and bellow the plane wall temperature and concentration variation curves in a non-periodic way.…”

Section: Resultsmentioning

confidence: 87%

“…The double diffusion natural convection from a constant temperature and concentration surface vertical wavy wall to a nonDarcy porous medium was analyzed by Cheng [18], Kumar and Gupta [19] for a thermal and mass stratified porous medium and Cheng [20] for a power law fluid saturated porous medium with thermal and mass stratification. The influence of a variable heat flux on natural convection along a corrugated wall in a non-Darcy porous medium was established by Shalini and Kumar [21].…”

Section: Introductionmentioning

confidence: 99%

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Free convective heat and mass transfer induced by a constant heat and mass fluxes vertical wavy wall in a non-Darcy double stratified porous medium

Neagu

2011

International Journal of Heat and Mass Transfer

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Section: Resultsmentioning

confidence: 87%

Section: Introductionmentioning

confidence: 99%

Free convective heat and mass transfer induced by a constant heat and mass fluxes vertical wavy wall in a non-Darcy double stratified porous medium

Neagu

2011

International Journal of Heat and Mass Transfer

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“…It is also assumed that the plates are uniformly heated and maintained at constant temperature given by T u and T l (T l > T u ) located at the top and the bottom plates respectively. In addition, we will suppose that interfacial tension γ varies linearly with temperature, which can be expressed as follows [10]…”

Section: Problem Descriptionmentioning

confidence: 99%

“…The free convection process in a fluid-saturated porous media along a sinusoidal wavy surface under variable heat flux condition has been analyzed by Shalini and Rathish. [10] For the studies of electric field effect on the flow and heat transfer rate in porous media, Soundalegkar [11] investigated a two-dimensional steady free convection flow of an incompressible, viscous, electrically conducting fluid past an infinite porous vertical plate with constant suction and plate temperature. Mukhopadhyay and Mukhopadhyay [12] have discussed the stability analysis of a thin liquid film falling down a heated inclined plane with linear temperature variation in the presence of a uniform normal electric field.…”

Section: Introductionmentioning

confidence: 99%

A Two-Layer Model for Superposed Electrified Maxwell Fluids in Presence of Heat Transfer

Zakaria

Sirwah

Alkharashi

2011

Commun. Theor. Phys.

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Based on a modified-Darcy-Maxwell model, two-dimensional, incompressible and heat transfer flow of two bounded layers, through electrified Maxwell fluids in porous media is performed. The driving force for the instability under an electric field, is an electrostatic force exerted on the free charges accumulated at the dividing interface. Normal mode analysis is considered to study the linear stability of the disturbances layers. The solutions of the linearized equations of motion with the boundary conditions lead to an implicit dispersion relation between the growth rate and wave number. These equations are parameterized by Weber number, Reynolds number, Marangoni number, dimensionless conductivities, and dimensionless electric potentials. The case of long waves interfacial stability has been studied. The stability criteria are performed theoretically in which stability diagrams are obtained. In the limiting cases, some previously published results can be considered as particular cases of our results. It is found that the Reynolds number plays a destabilizing role in the stability criteria, while the damping influence is observed for the increasing of Marangoni number and Maxwell relaxation time.

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“…A numerical study was also conducted by Tashtoush and Abu-Irshaid [30] for the steady natural convection flow from a wavy surface subjected to a power-law variable heat flux and it was found that the wavelength of the local Nusselt number and surface temperature variation was equal to the wavy surface but the average Nusselt number was only half of the wavy surface. Similarly, Shalini and Kumar [31] undertook a numerical investigation of a power-law variable heat flux for the steady natural convection flow along a corrugated vertical wall in porous media. Tsai and Huang [32] obtained the solutions for heat and mass transfer from steady natural convection flow along a vertical surface with variable heat fluxes embedded in a porous medium due to thermal-diffusion (Soret) and diffusion-thermo (Dufour) effects.…”

Section: Introductionmentioning

confidence: 99%

Scalings for unsteady natural convection boundary layers on an evenly heated plate with time-dependent heating flux

Lin

Armfield

2013

Phys. Rev. E

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It is of fundamental significance, especially with regard to application, to fully understand the flow behavior of unsteady natural convection boundary layers on a vertical plate heated by a time-dependent heat flux. Such an understanding is currently scarce. In this paper, the scaling analysis by Lin et al. [Phys. Rev. E 79, 066313 (2009)] using a simple three-region structure for the unsteady natural convection boundary layer of a homogeneous Newtonian fluid with Pr>1 under isothermal heating was substantially extended for the case when the heating is due to a time-varying sinusoidal heat flux. A series of scalings was developed for the thermal boundary thickness, the plate temperature, the viscous boundary thicknesses, and the maximum vertical velocity within the boundary layer, which are the major parameters representing the flow behavior, in terms of the governing parameters of the flow, i.e., the Rayleigh number Ra, the Prandtl number Pr, and the dimensionless natural frequency f(n) of the time-varying sinusoidal heat flux, at the start-up stage, at the transition time scale which represents the ending of the start-up stage and the beginning of the transitional stage of the boundary-layer development, and at the quasi-steady stage. These scalings were validated by comparison to 10 full numerical solutions of the governing equations with Ra, Pr, and f(n) in the ranges 10(6)≤Ra≤10(9), 3≤Pr≤100, and 0.01≤f_{n}≤0.1 and were shown in general to provide an accurate description of the flow at different development stages, except for high-Pr runs in which a further, although weak, Pr dependence is present, which cannot be accurately predicted by the current scaling analysis using the simple three-region structure, attributed to the non-boundary-layer nature of the velocity field with high-Pr fluids. Some scalings at the transition time scale and at the quasi-steady stage also produce noticeable deviations from the numerical results when f(n) is reduced, indicating that there may be a further f(n) dependence of the scalings which also cannot be accurately predicted by the current scaling analysis.

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Influence of variable heat flux on natural convection along a corrugated wall in porous media

Cited by 7 publications

References 22 publications

Free convective heat and mass transfer induced by a constant heat and mass fluxes vertical wavy wall in a non-Darcy double stratified porous medium

Free convective heat and mass transfer induced by a constant heat and mass fluxes vertical wavy wall in a non-Darcy double stratified porous medium

A Two-Layer Model for Superposed Electrified Maxwell Fluids in Presence of Heat Transfer

Scalings for unsteady natural convection boundary layers on an evenly heated plate with time-dependent heating flux

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