An analytical approach for a Hiemenz flow in a porous medium with heat exchange

Kokubun, M. A. Endo; Fachini, Fernando F.

doi:10.1016/j.ijheatmasstransfer.2011.03.021

Cited by 11 publications

(13 citation statements)

References 17 publications

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“…3 and hence the freestream strain rate is unchanged. Figure 3 also shows that for zero transpiration the qualitative behaviour of the non-dimensional velocity in the radial direction is in qualitative agreement with that of transversal dimensionless velocity in Wu et al (2005) and Kokubun and Fachini (2011). This is to be expected as the radial velocity in the cylindrical configuration shown in Fig.…”

Section: Flow Velocity Fieldsupporting

confidence: 69%

“…This is to be expected as the radial velocity in the cylindrical configuration shown in Fig. 1 is analogous to the transversal velocity in the flow over a flat porous insert investigated in Wu et al (2005) and Kokubun and Fachini (2011). Figure 4 depicts the influences of freestream Reynolds number (defined as Re =k a 2 2v ) on the non-dimensional velocity f .…”

Section: Flow Velocity Fieldmentioning

confidence: 60%

“…It also revealed that decreasing the distance between the jet and the heated section leads to an increase in the Nusselt number (Sivasamy et al 2010). Analytical solutions were developed by Kokubun and Fachini (2011) for the stagnation-point flow in an infinitely long, horizontal porous insert. This configuration was subject to constant wall heat flux and constant wall temperature boundary conditions at the bottom plate and could be considered as the heat transferring version of the problem solved by Wu et al (2005).…”

Section: Introductionmentioning

confidence: 99%

“…This configuration was subject to constant wall heat flux and constant wall temperature boundary conditions at the bottom plate and could be considered as the heat transferring version of the problem solved by Wu et al (2005). The work of Kokubun and Fachini (2011) showed that a dimensionless parameter, containing information on the transport characteristics of the fluid and solid phase, governs the behaviour of heat transferring flow. This finding was analogous to that of Wu et al (2005) in the corresponding isothermal flow.…”

Section: Introductionmentioning

confidence: 99%

“…Constant temperature boundary conditions are applied on the surface of the cylinder, and the steady flow and temperature fields along with Nusselt number and imposed shear stress are calculated. This investigation will be an extension of the analyses of Wu et al (2005) and Kokubun and Fachini (2011) to cylindrical configurations with the inclusion of non-uniform transpiration. Figure 1 shows the schematic view of the problem under investigation.…”

Section: Introductionmentioning

confidence: 99%

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On the Hydrodynamics and Heat Convection of an Impinging External Flow Upon a Cylinder with Transpiration and Embedded in a Porous Medium

et al. 2017

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This paper extends the existing studies of heat convection by an external flow impinging upon a flat porous insert to that on a circular cylinder inside a porous medium. The surface of the cylinder is subject to constant temperature and can include uniform or non-uniform transpiration. These cylindrical configurations are introduced in the analyses of stagnation-point flows in porous media for the first time. The equations governing steady transport of momentum and thermal energy in porous media are reduced to simpler nonlinear differential equations and subsequently solved numerically. This reveals the dimensionless velocity and temperature fields of the stagnation-point flow, as well as the Nusselt number and shear stress on the surface of the cylinder. The results show that transpiration on the surface of the cylinder and Reynolds number of the external flow dominate the fluid dynamics and heat transfer problems. In particular, non-uniform transpiration is shown to significantly affect the thermal and hydrodynamic responses of the system in the circumferential direction. However, the permeability and porosity of the porous medium are found to have relatively smaller influences.

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Section: Flow Velocity Fieldsupporting

confidence: 69%

Section: Flow Velocity Fieldmentioning

confidence: 60%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On the Hydrodynamics and Heat Convection of an Impinging External Flow Upon a Cylinder with Transpiration and Embedded in a Porous Medium

et al. 2017

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Research on Cooling Mechanism of the Cement Clinker Macroporous Porous Medium

Yan

Yue

Liu

2013

Heat Trans. Asian Res.

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For the cement clinker, a macroporous unconsolidated porous medium, seepage heat transfer theory can more accurately reveal its internal problems. Because of the macroporous characteristics of the cement clinker accumulation body, the changes in the physical properties of the surrounding air, such as viscosity, density, and so on must be taken into consideration in the cooling process of the cement clinker. This article introduces a real gas state equation into the unsteady state seepage equation, and improves the universal local thermal non‐equilibrium energy equation, and finally builds a seepage heat exchanger model of the cement clinker accumulation body macroporous porous medium. Using the COTDMA algorithm, this article obtains the unsteady state change progress of the air temperature and the clinker, and the influence of the porosity size on the cooling process, providing a theoretical reference for engineering applications. © 2013 Wiley Periodicals, Inc. Heat Trans Asian Res 43(2): 113‐123, 2014; Published online 01 July 2013 in Wiley Online Library (http://wileyonlinelibrary.com/journal/htj). DOI 10.1002/htj.21066

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External Natural Convection

Nield

Bejan

2012

Convection in Porous Media

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An analytical approach for a Hiemenz flow in a porous medium with heat exchange

Cited by 11 publications

References 17 publications

On the Hydrodynamics and Heat Convection of an Impinging External Flow Upon a Cylinder with Transpiration and Embedded in a Porous Medium

On the Hydrodynamics and Heat Convection of an Impinging External Flow Upon a Cylinder with Transpiration and Embedded in a Porous Medium

Research on Cooling Mechanism of the Cement Clinker Macroporous Porous Medium

External Natural Convection

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