Laminar Mixed Convection in a Lid-Driven Square Cavity with Two Isothermally Heated Square Internal Blockages

doi:10.1080/00986445.2014.912634

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Laminar Mixed Convection in a Lid-Driven Square Cavity with Two Isothermally Heated Square Internal Blockages

Journal Article•DOI•

Laminar Mixed Convection in a Lid-Driven Square Cavity with Two Isothermally Heated Square Internal Blockages

Khandakar Niaz Morshed¹, Muhammad A. R. Sharif², Akand W. Islam³•Institutions (3)

Colorado State University¹, University of Alabama², University of Texas at Austin³

27 Apr 2015-Chemical Engineering Communications (Taylor & Francis)-Vol. 202, Iss: 9, pp 1176-1190

TL;DR: In this article, a lid-driven square cavity with two isothermally heated square internal blockages is numerically investigated and the flow and heat transfer behavior is studied for various placements of the blockages through analyzing the local Nusselt number distribution.

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Abstract: Laminar mixed convection in a lid-driven square cavity with two isothermally heated square internal blockages is numerically investigated. The top lid of the cavity is moving rightwards with a constant speed. The two blockages are maintained at an isothermal hot temperature, while the walls of the cavity are maintained at a cold temperature. The flow and heat transfer behavior is studied for various placements of the blockages through analyzing the local Nusselt number distribution around the edges of the blockages and the average Nusselt number at the blockage surfaces at various Richardson and Reynolds numbers. Investigations are performed in a range of Reynolds number (100–500), Richardson number (0.1–10), and at a fixed Prandtl number (0.71). Computations are done using the ANSYS FLUENT commercial code based on a finite volume method. It is observed that, the average Nusselt number on the blockage surfaces increases with increasing Reynolds number at any Richardson number. The average Nusselt number c...

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Journal Article•DOI•

Enhanced thermal energy transport using adiabatic block inside lid-driven cavity

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Nirmalendu Biswas¹, Nirmal K. Manna¹, Pallab Sinha Mahapatra•Institutions (1)

Jadavpur University¹

01 Sep 2016-International Journal of Heat and Mass Transfer

TL;DR: In this article, the authors report a better thermal energy transfer utilizing an adiabatic block in a sidewalls moving, differentially-heated cavity and demonstrate the effective role of the adiabaatic block on energy transport from source to sink.

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49 citations

Journal Article•DOI•

Mixed convection heat transfer and entropy generation of Cu-water nanofluid in wavy-wall lid-driven cavity in presence of inclined magnetic field

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Ching-Chang Cho¹•Institutions (1)

National Formosa University¹

01 Feb 2019-International Journal of Mechanical Sciences

TL;DR: In this paper, the authors investigated the effects of an inclined magnetic field on the mixed convection heat transfer characteristics and entropy generation in a nanofluid-filled lid-driven cavity with a wavy surface.

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38 citations

Journal Article•DOI•

Heat transfer and entropy generation of mixed convection flow in Cu-water nanofluid-filled lid-driven cavity with wavy surface

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Ching-Chang Cho¹•Institutions (1)

National Formosa University¹

01 Apr 2018-International Journal of Heat and Mass Transfer

TL;DR: In this paper, a lid-driven wavy-wall cavity filled with Cu-water nanofluid was modeled and the authors performed a numerical investigation into the heat transfer effect and associated entropy generation of mixed convection flow.

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36 citations

Journal Article•DOI•

Numerical study of double diffusive buoyancy forces induced natural convection in a trapezoidal enclosure partially heated from the right sidewall

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Mohammad Mostafa Gholizadeh, Rasoul Nikbakhti, Javad Khodakhah¹, Amirmahdi Ghasemi²•Institutions (2)

Ferdowsi University of Mashhad¹, Worcester Polytechnic Institute²

01 Jun 2016-alexandria engineering journal

TL;DR: In this article, a study of double-diffusive natural convection in a trapezoidal enclosure with a partial heated active right sidewall has been conducted numerically using the finite difference method.

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Abstract: A study of double-diffusive natural convection in a trapezoidal enclosure with a partial heated active right sidewall has been conducted numerically using the finite difference method. The length of the heated active part is equal to half of the inclined wall. Uniform different temperatures and concentrations are imposed along the active parts of the enclosure. The top and bottom boundaries of the enclosure, as well as inactive part of the right sidewall, are being insulated and impermeable. The species diffusivity of the fluid is considered to be constant, but the density varies linearly with the temperature and concentration. Double-diffusive convection for laminar two-dimensional incompressible flow with negligible radiation is expressed in terms of vorticity, temperature or energy, concentration and stream function. A Partial Differential Equation (PDE) technique is adopted to generate regular grid distribution in the physical space. The numerical results are reported for the effect of different heating cases, thermal Grashof numbers, and inclination angles on the contours of streamline, temperature, and concentration. Also, the relevant results for the average Nusselt and Sherwood numbers are demonstrated for several parameters including thermal Grashof number ( 10 3 ⩽ Gr T ⩽ 10 6 ) , Lewis number ( 0.5 ⩽ Le ⩽ 10 ) , Prandtl number ( 0.7 ⩽ Pr ⩽ 10 ) at a fixed aspect ratio Ar = 1 and buoyancy ratio N = - 0.2 .

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21 citations

Journal Article•DOI•

Numerical investigation of double diffusive buoyancy forces induced natural convection in a cavity partially heated and cooled from sidewalls

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Rasoul Nikbakhti, Javad Khodakhah¹•Institutions (1)

Ferdowsi University of Mashhad¹

01 Mar 2016-Engineering Science and Technology, an International Journal

TL;DR: In this paper, a numerical investigation of double-diffusive natural convective heat and mass transfer in a cavity filled with Newtonian fluid is presented. And the results are presented graphically in terms of streamlines, isotherms and isoconcentrations.

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20 citations

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References

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Journal Article•DOI•

Fluid mechanics in the driven cavity

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P. N. Shankar, M. D. Deshpande

01 Jan 2000-Annual Review of Fluid Mechanics

TL;DR: In this article, a review of the body of work dealing with internal recirculating flows generated by the motion of one or more of the containing walls is presented. But the use of direct numerical simulation appears very promising.

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Abstract: This review pertains to the body of work dealing with internal recirculating flows generated by the motion of one or more of the containing walls. These flows are not only technologically important, they are of great scientific interest because they display almost all fluid mechanical phenomena in the simplest of geometrical settings. Thus corner eddies, longitudinal vortices, nonuniqueness, transition, and turbulence all occur naturally and can be studied in the same closed geometry. This facilitates the comparison of results from experiment, analysis, and computation over the whole range of Reynolds numbers. Considerable progress has been made in recent years in the understanding of three-dimensional flows and in the study of turbulence. The use of direct numerical simulation appears very promising.

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756 citations

"Laminar Mixed Convection in a Lid-D..." refers background in this paper

...Fluid flow and heat transfer in lid-driven cavity has drawn the interest of researchers for many years due to its importance in many applications (Shankar and Deshpande, 2000)....
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Journal Article•DOI•

Mixed convection in a driven cavity with a stable vertical temperature gradient

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Reima Iwatsu, Jae Min Hyun¹, Kunio Kuwahara•Institutions (1)

KAIST¹

01 Jan 1993-International Journal of Heat and Mass Transfer

TL;DR: In this paper, the authors made extensive parametric studies of flow and heat transfer of a viscous fluid contained in a square cavity, where flow is generated by the top horizontal boundary wall, which slides in its own plane at constant speed.

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432 citations

"Laminar Mixed Convection in a Lid-D..." refers background or methods in this paper

...The computational procedure is validated against the numerical results of Iwatsu et al. (1993) and Oztop et al....
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...The computational procedure is validated against the numerical results of Iwatsu et al. (1993) and Oztop et al. (2009) for a top heated moving lid and bottom cooled square cavity filled with air (Pr1⁄4 0.71). A 100 100 mesh is used and computations are done for three different Reynolds numbers keeping the Grashof number fixed at 10(4). Comparisons of the average Nusselt number at the hot lid are shown in Table 1. The general agreement between the present computation and that of Iwatsu et al. [21] and Oztop et al. (2009) is seen to be very well with a maximum discrepancy of about 3%....
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...The computational procedure is validated against the numerical results of Iwatsu et al. (1993) and Oztop et al. (2009) for a top heated moving lid and bottom cooled square cavity filled with air (Pr1⁄4 0....
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...…is encountered in various engineering and industrial situations such as solar power collectors, microelectronic cooling, nuclear reactors, etc. (Iwatsu et al., 1993; Khanafer and Chamkha, 1998; Alleborn et al., 1999; Khanafer and Vafai, 2002; Khanafer et al., 2007; Al-Amiri et al., 2007;…...
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...The computational procedure is validated against the numerical results of Iwatsu et al. (1993) and Oztop et al. (2009) for a top heated moving lid and bottom cooled square cavity filled with air (Pr¼ 0.71)....
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Journal Article•DOI•

The “Heatline” Visualization of Convective Heat Transfer

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S. Kimura¹, Adrian Bejan¹•Institutions (1)

University of Colorado Boulder¹

01 Nov 1983-Journal of Heat Transfer-transactions of The Asme

TL;DR: Proposition d'une nouvelle methode de visualisation du transfert de chaleur dans un ecoulement de fluide. Application a la convection naturelle dans une enceinte carree chauffee lateralement

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Abstract: Proposition d'une nouvelle methode de visualisation du transfert de chaleur dans un ecoulement de fluide. Application a la convection naturelle dans une enceinte carree chauffee lateralement

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387 citations

Additional excerpts

...Basak et al. (2011) analyzed four different thermal boundary conditions, and heat flow patterns in mixed convection using heatlines concept of Kimura and Bejan (1983) for wide ranges of parameters (Pr¼ 0.015–7.2, Re¼ 1–100, and Gr¼ 103–105)....
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Journal Article•DOI•

Mixed convection flow in a lid-driven enclosure filled with a fluid-saturated porous medium

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K. Khanafer¹, Ali J. Chamkha¹•Institutions (1)

University College of Engineering¹

01 Jul 1999-International Journal of Heat and Mass Transfer

TL;DR: In this paper, the volume averaged equations governing unsteady, laminar, mixed convection flow in an enclosure filled with a Darcian fluid-saturated uniform porous medium in the presence of internal heat generation are formulated.

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275 citations

"Laminar Mixed Convection in a Lid-D..." refers background in this paper

...…various engineering and industrial situations such as solar power collectors, microelectronic cooling, nuclear reactors, etc. (Iwatsu et al., 1993; Khanafer and Chamkha, 1998; Alleborn et al., 1999; Khanafer and Vafai, 2002; Khanafer et al., 2007; Al-Amiri et al., 2007; Al-Amiri and Khanafer,…...
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Journal Article•DOI•

Combined forced and natural convection heat transfer in a deep lid-driven cavity flow

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Ajay K. Prasad¹, Jeffrey R. Koseff²•Institutions (2)

University of Delaware¹, Stanford University²

01 Oct 1996-International Journal of Heat and Fluid Flow

TL;DR: In this paper, the authors describe the combined forced and natural convection heat transfer process within a recirculating flow in an insulated lid-driven cavity of rectangular cross section (150 mm × 450 mm) and depth varying between 150 mm and 600 mm.

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187 citations

"Laminar Mixed Convection in a Lid-D..." refers background in this paper

...When the natural convective flow induced by the buoyancy forces due to the imposed temperature gradient is comparable to the forced convective flow, the resulting flow is called the mixed convection (Prasad and Koseff, 1996)....
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