Aiding and Opposing Mixed Convection from a Cylinder in a Saturated Porous Medium

Zhou, Muchu; Lai, F. C.

doi:10.1615/jpormedia.v5.i2.30

Cited by 8 publications

(10 citation statements)

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“…The governing equations consist of a continuity equation, Navier-stokes equations, and an energy equation formulated in terms of velocity, pressure, and temperature. Under the Boussinesq approximation, these equations are [9].…”

Section: Governing Equations and Boundary Conditionsmentioning

confidence: 99%

“…Badr and Pop(1988) considered the problem of aiding and opposing flows around a horizontal cylinder buried in a porous medium. Zhou and Lai(2002) considered the same problem were solved by Badr and Pop(1988) based on Darcy's law and using finite difference method with body-fitted coordinates. Mohammed(2007)studied the effect of flow direction on mixed convection from a horizontal cylinder in a saturated porous medium.…”

Section: Introductionmentioning

confidence: 99%

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Aiding and Opposing Mixed Convection From an Array of Circular Cylinders in a Saturated Porous Medium

Ahmed¹

2008

AJES

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Numerical solutions are presented for mixed convection from an array of circular cylinders embed in a saturated porous medium. The cylinders are at constant temperature(isothermal) and arranged in a staggered tube bank. Both aiding and opposing flow conditions are considered. Numerical calculations using finite difference method with body-fitted coordinates have covered a wide range of governing parameters(i.e.,10 ≤ Re ≤ 100, 0 ≤ Gr ≤ 400 and Pr = 0.7). Results are presented for streamline, isotherms and the local and the average Nusselt number at different values of the governing parameters. The present results are compared with previous theoretical results and show good agreement.

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Section: Governing Equations and Boundary Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Aiding and Opposing Mixed Convection From an Array of Circular Cylinders in a Saturated Porous Medium

Ahmed¹

2008

AJES

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“…After the pioneering works of Horton and Rogers () and Lapwood () on natural convection, Wooding (, ) was the first to study the interaction mechanisms between forced and natural convection. Since then, many works on mixed convection in saturated porous media of different geometries and fluid types have been solved numerically using a variety of numerical techniques: Cheng (, ), Bejan and Imberger (), Chandrasekhara and Namboodiri (), Badr and Pop (), Lai and Kulacki (), Aldoss et al (, , ), Chen et al (), Zhou and Lai (), Kumari and Pop (), and Nazar et al ().…”

Section: Introductionmentioning

confidence: 99%

“…After the pioneering works of Horton and Rogers (1945) and Lapwood (1948) on natural convection, Wooding (1960Wooding ( , 1963 was the first to study the interaction mechanisms between forced and natural convection. Since then, many works on mixed convection in saturated porous media of different geometries and fluid types have been solved numerically using a variety of numerical techniques: Cheng (1978Cheng ( , 1982, Bejan and Imberger (1979), Chandrasekhara and Namboodiri (1985), Badr and Pop (1988), Lai and Kulacki (1990), Aldoss et al (1993aAldoss et al ( , b, 1994, Chen et al (1996), Zhou and Lai (2002), Kumari and Pop (2009), and Nazar et al (2011). In this context, the Yusa problem (1983) emerges as one of the most representative reference (benchmark) problems of mixed convection in isotropic porous media, 2-D aquifer.…”

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confidence: 99%

A review of classical dimensionless numbers for the Yusa problem based on discriminated non‐dimensionalization of the governing equations

Cánovas

Alhama

Trigueros

et al. 2016

Hydrological Processes

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When the governing equations of a problem are known, the non‐dimensionalization of these equations (applied in their classical form) is a useful and widely used method that can be used to identify the dimensionless groups that rule the solution. However, neither this technique nor dimensional analysis necessarily provides the most precise solution in terms of the sought numbers. The use of discrimination, a qualitative rather than quantitative extension of the non‐dimensionalization method, has demonstrated notable advantages over the classical method because it invariably provides a more precise set of dimensionless groups. The basis for the correct application of discrimination depends on a deep understanding of the phenomena involved in the problem, particularly in complex (coupled) problems. In this paper, discriminated non‐dimensionalization is applied to investigate a mixed convection problem in porous media, the Yusa problem. The derived discriminate groups are compared with those already known in the literature and deduced by classical methods. A number of scenarios are numerically solved to check the reliability of the discriminated groups in contrast with classical groups. Copyright © 2016 John Wiley & Sons, Ltd.

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“…Cheng.P [7] studied the mixed convection for both horizontal cylinder and sphere in a fluid-saturated porous medium and Zhou and Lai [8] carried out studies in aiding and opposing mixed convection from a cylinder in a saturated porous medium. They discussed how the Rayleigh number and mixed convection parameter number Gr/Re affected the flow and heat transfer characteristics.…”

Section: Introductionmentioning

confidence: 99%

MHD Flow, Heat and Mass Transfer about a Horizontal Cylinder in Porous Medium

Sharma¹,

Konwar²

2014

IJIRSET

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MHD flow, heat and mass transfer through porous media have seen a tremendous increase in research attention. This rapidly increasing research activity has been due to the increasing number of practical applications on porous media in chemical reactors, the underground spread of pollutant, many modern industries ranging from micro to macro and many other heat transfer processes. The problem of flow, heat and mass transfer about a horizontal circular cylinder in porous medium is considered in this study. Governing boundary layer equations are first transformed into ordinary differential equations and are solved by using Matlab's built in solver bvp4c. Velocity, temperature and concentration profiles are shown graphically for different values of parameters involved in the dimensionless equations and discussed in detail.

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Aiding and Opposing Mixed Convection from a Cylinder in a Saturated Porous Medium

Cited by 8 publications

References 0 publications

Aiding and Opposing Mixed Convection From an Array of Circular Cylinders in a Saturated Porous Medium

Aiding and Opposing Mixed Convection From an Array of Circular Cylinders in a Saturated Porous Medium

A review of classical dimensionless numbers for the Yusa problem based on discriminated non‐dimensionalization of the governing equations

MHD Flow, Heat and Mass Transfer about a Horizontal Cylinder in Porous Medium

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