Periodic Fluid Flow and Heat Transfer in a Square Cavity Due to an Insulated or Isothermal Rotating CylinderSource: Journal of Heat Transfer:;2009:;volume( 131 ):;issue: 011::page 111701DOI: 10.1115/1.3154620Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The periodic state of laminar flow and heat transfer due to an insulated or isothermal rotating cylinder object in a square cavity is investigated computationally. A finite-volume-based computational methodology utilizing primitive variables is used. Various rotating objects (circle, square, and equilateral triangle) with different sizes are placed in the middle of a square cavity. A combination of a fixed computational grid and a sliding mesh was utilized for the square and triangle shapes. For the insulated and isothermal objects, the cavity is maintained as differentially heated and isothermal enclosures, respectively. Natural convection heat transfer is neglected. For a given shape of the object and a constant angular velocity, a range of rotating Reynolds numbers are covered for a Pr=5 fluid. The Reynolds numbers were selected so that the flow fields are not generally affected by the Taylor instabilities (Ta<1750). The periodic flow field, the interaction of the rotating objects with the recirculating vortices at the four corners, and the periodic channeling effect of the traversing vertices are clearly elucidated. The simulations of the dynamic flow fields were confirmed against experimental data obtained by particle image velocimetry. The corresponding thermal fields in relation to the evolving flow patterns and the skewness of the temperature contours in comparison to the conduction-only case were discussed. The skewness is observed to become more marked as the Reynolds number is lowered. Transient variations of the average Nusselt numbers of the respective systems show that for high Re numbers, a quasiperiodic behavior due to the onset of the Taylor instabilities is dominant, whereas for low Re numbers, periodicity of the system is clearly observed. Time-integrated average Nusselt numbers of the insulated and isothermal object systems were correlated with the rotational Reynolds number and shape of the object. For high Re numbers, the performance of the system is independent of the shape of the object. On the other hand, with lowering of the hydraulic diameter (i.e., bigger objects), the triangle and the circle exhibit the highest and lowest heat transfers, respectively. High intensity of the periodic channeling and not its frequency is identified as the cause of the observed enhancement.
keyword(s): Flow (Dynamics) , Heat transfer , Reynolds number , Cavities , Cylinders , Shapes , Temperature , Cavity walls AND Fluids ,
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contributor author | Y.-C. Shih | |
contributor author | J. M. Khodadadi | |
contributor author | K.-H. Weng | |
contributor author | A. Ahmed | |
date accessioned | 2017-05-09T00:33:33Z | |
date available | 2017-05-09T00:33:33Z | |
date copyright | November, 2009 | |
date issued | 2009 | |
identifier issn | 0022-1481 | |
identifier other | JHTRAO-27874#111701_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/140939 | |
description abstract | The periodic state of laminar flow and heat transfer due to an insulated or isothermal rotating cylinder object in a square cavity is investigated computationally. A finite-volume-based computational methodology utilizing primitive variables is used. Various rotating objects (circle, square, and equilateral triangle) with different sizes are placed in the middle of a square cavity. A combination of a fixed computational grid and a sliding mesh was utilized for the square and triangle shapes. For the insulated and isothermal objects, the cavity is maintained as differentially heated and isothermal enclosures, respectively. Natural convection heat transfer is neglected. For a given shape of the object and a constant angular velocity, a range of rotating Reynolds numbers are covered for a Pr=5 fluid. The Reynolds numbers were selected so that the flow fields are not generally affected by the Taylor instabilities (Ta<1750). The periodic flow field, the interaction of the rotating objects with the recirculating vortices at the four corners, and the periodic channeling effect of the traversing vertices are clearly elucidated. The simulations of the dynamic flow fields were confirmed against experimental data obtained by particle image velocimetry. The corresponding thermal fields in relation to the evolving flow patterns and the skewness of the temperature contours in comparison to the conduction-only case were discussed. The skewness is observed to become more marked as the Reynolds number is lowered. Transient variations of the average Nusselt numbers of the respective systems show that for high Re numbers, a quasiperiodic behavior due to the onset of the Taylor instabilities is dominant, whereas for low Re numbers, periodicity of the system is clearly observed. Time-integrated average Nusselt numbers of the insulated and isothermal object systems were correlated with the rotational Reynolds number and shape of the object. For high Re numbers, the performance of the system is independent of the shape of the object. On the other hand, with lowering of the hydraulic diameter (i.e., bigger objects), the triangle and the circle exhibit the highest and lowest heat transfers, respectively. High intensity of the periodic channeling and not its frequency is identified as the cause of the observed enhancement. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Periodic Fluid Flow and Heat Transfer in a Square Cavity Due to an Insulated or Isothermal Rotating Cylinder | |
type | Journal Paper | |
journal volume | 131 | |
journal issue | 11 | |
journal title | Journal of Heat Transfer | |
identifier doi | 10.1115/1.3154620 | |
journal fristpage | 111701 | |
identifier eissn | 1528-8943 | |
keywords | Flow (Dynamics) | |
keywords | Heat transfer | |
keywords | Reynolds number | |
keywords | Cavities | |
keywords | Cylinders | |
keywords | Shapes | |
keywords | Temperature | |
keywords | Cavity walls AND Fluids | |
tree | Journal of Heat Transfer:;2009:;volume( 131 ):;issue: 011 | |
contenttype | Fulltext |