Introduction to Convective flows: viscous fluids

Pop, I.; Ingham, D.B.

doi:10.1016/b978-008043878-8/50003-1

Cited by 74 publications

(81 citation statements)

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“…It is also a subject of interest in environmental and geophysics sciences. A wide applications of the porous media can be found in the well known books by Nield and Bejan (2006), Ingham and Pop (2005), Liu and Masliyah (2005), Vafai (2010), Pop and Ingham (2001), Bejan et al (2004), and Vadasz (2008), and in the recent article by Harris et al (2009). They provide significant information on porous media application as well as basic description of heat and fluid flow in porous media.…”

Section: Introductionmentioning

confidence: 99%

Fully Developed Forced Convection Heat Transfer in a Porous Channel with Asymmetric Heat Flux Boundary Conditions

et al. 2011

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An analytical study is performed on steady, laminar, and fully developed forced convection heat transfer in a parallel plate channel with asymmetric uniform heat flux boundary conditions. The channel is filled with a saturated porous medium, and the lower and upper walls are subjected to different uniform heat fluxes. The dimensionless form of the DarcyBrinkman momentum equation is solved to determine the dimensionless velocity profile, while the dimensionless energy equation is solved to obtain temperature profile for a hydrodynamically and thermally fully developed flow in the channel. Nusselt numbers for the lower and upper walls and an overall Nusselt number are defined. Analytical expressions for determination of the Nusselt numbers and critical heat flux ratio, at which singularities are observed for individual Nusselt numbers, are obtained. Based on the values of critical heat flux ratio and Darcy number, a diagram is provided to determine the direction of heat transfer between the lower or upper walls while the fluid is flowing in the channel.

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Section: Introductionmentioning

confidence: 99%

Fully Developed Forced Convection Heat Transfer in a Porous Channel with Asymmetric Heat Flux Boundary Conditions

et al. 2011

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“…It is also of interest in the nuclear industry, particularly in the evaluation of heat removal from a hypothetical accident in a nuclear reactor and to provide effective insulation. Comprehensive literature surveys concerning the subject of porous media can be found in the most recent books by Ingham and Pop (1998), Nield and Bejan (1999), Vafai (2002), Pop and Ingham (2001), Bejan and Kraus (2003). The present paper studies numerically the steady mixed convection flow in a vertical channel filled with a porous medium including the effect of inertial forces and taking into account the effect of viscous and Darcy dissipations.…”

Section: Introductionmentioning

confidence: 99%

Mixed Convection in a Vertical Porous Channel

et al. 2008

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Abstract.A numerical study of mixed convection in a vertical channel filled with a porous medium including the effect of inertial forces is studied by taking into account the effect of viscous and Darcy dissipations. The flow is modeled using the BrinkmanForchheimer-extended Darcy equations. The two boundaries are considered as isothermalisothermal, isoflux-isothermal and isothermal-isoflux for the left and right walls of the channel and kept either at equal or at different temperatures. The governing equations are solved numerically by finite difference method with Southwell-Over-Relaxation technique for extended Darcy model and analytically using perturbation series method for Darcian model. The velocity and temperature fields are obtained for various porous parameter, inertia effect, product of Brinkman number and Grashof number and the ratio of Grashof number and Reynolds number for equal and different wall temperatures. Nusselt number at the walls is also determined for three types of thermal boundary conditions. The viscous dissipation enhances the flow reversal in the case of downward flow while it counters the flow in the case of upward flow. The Darcy and inertial drag terms suppress the flow. It is found that analytical and numerical solutions agree very well for the Darcian model.

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“…It is also of interest in the nuclear industry, particularly in the evaluation of heat removal * E-mail: kkr_nitw@yahoo.co.in from a hypothetical accident in a nuclear reactor and to provide effective insulation. Comprehensive literature surveys concerning the subject of porous media can be found in the recent books by Pop and Ingham [1], Vafai [2], Bejan and Kraus [3] and Nield and Bejan [4].…”

Section: Introductionmentioning

confidence: 99%

Effect of MHD and Injection through one side of a long vertical channel embedded in porous medium with transpiration cooling

Govardhan

Kaladhar²,

Nagaraju

et al. 2014

Open Engineering

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This paper examines the effect of MHD, and injection through one side of a long vertical channel embedded in porous medium with transpiration cooling. The governing nonlinear partial differential equations have been transformed by similarity transformation into a set of ordinary differential equations, which are solved numerically by Adam-moultan Predictor-Corrector method with Newton-Raphson Method for missing initial conditions. Proflles of dimensionless velocity, temperature and concentration are shown graphically for different parameters entering into the analysis. Also the effects of the pertinent parameters on the heat transfer rates are tabulated. An analysis of the results obtained shows that the flow field is influenced appreciably by emerging parameters of the present study.

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Introduction to Convective flows: viscous fluids

Cited by 74 publications

References 0 publications

Fully Developed Forced Convection Heat Transfer in a Porous Channel with Asymmetric Heat Flux Boundary Conditions

Fully Developed Forced Convection Heat Transfer in a Porous Channel with Asymmetric Heat Flux Boundary Conditions

Mixed Convection in a Vertical Porous Channel

Effect of MHD and Injection through one side of a long vertical channel embedded in porous medium with transpiration cooling

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