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Effect of temperature-dependent viscosity on forced convection heat transfer from a cylinder in crossflow of power-law fluids

机译:温度相关粘度对幂律流体横流中气缸强制对流传热的影响

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摘要

The steady, two-dimensional and incompressible flow of power-law fluids across an unconfined isothermal heated circular cylinder is investigated numerically to ascertain the effect of temperature-dependent viscosity on the flow and forced convection heat transfer phenomena. Extensive numerical results elucidating the variation of the heat transfer characteristics and drag coefficient on the severity of temperature dependence of viscosity (0≤ b ≤ 0.5), power law index (0.6 ≤ n ≤ 1.6), Prandtl number (1 ≤ Pr≤ 100) and Reynolds number (1 ≤ Re ≤ 30) are presented. The coupled momentum and energy equations are expressed in the stream function/vorticity formulation and solved using a second-order accurate finite difference method to determine the local and surface-averaged Nusselt numbers, the drag coefficient, and to map the flow domain in terms of the temperature and flow fields near the cylinder. The variation of viscosity with temperature is shown to have a substantial effect on both the local and surface-averaged values of the Nusselt number. As expected, the results also suggest that the rate of heat transfer shows positive dependence on the Reynolds number and Prandtl number. Furthermore, stronger the dependence of viscosity on the temperature, the greater is the enhancement in the rate of heat transfer. Finally, all else being equal, shear-thinning fluid behaviour facilitates heat transfer while the shear-thickening behaviour has deleterious effect on heat transfer.
机译:数值研究了幂律流体在无边等温加热圆柱体上的稳定,二维且不可压缩的流动,从而确定了温度依赖性粘度对流动和强制对流传热现象的影响。广泛的数值结果阐明了传热特性和阻力系数对粘度(0≤b≤0.5),幂律指数(0.6≤n≤1.6),普朗特数(1≤Pr≤100)的温度依赖性的严重程度的变化。给出了雷诺数(1≤Re≤30)。耦合的动量和能量方程在流函数/涡度公式中表示,并使用二阶精确有限差分法求解,以确定局部和表面平均努塞尔数,阻力系数,并根据以下公式映射流域:圆柱附近的温度和流场。结果表明,粘度随温度的变化对Nusselt数的局部和表面平均值都有很大影响。如预期的那样,结果还表明传热速率对雷诺数和普朗特数呈正相关关系。此外,粘度对温度的依赖性越强,传热速率的提高就越大。最后,在所有其他条件相同的情况下,剪切稀化流体行为促进了传热,而剪切增稠行为则对传热产生了有害影响。

著录项

  • 来源
    《International Journal of Heat and Mass Transfer》 |2010年第22期|p.4728-4740|共13页
  • 作者单位

    Departamento de Fisica, Universidade de Tras-os-Montes e Alto Douro, Apanado 1013, 5001-801 Vila Real, Portugal CITAB/UTAD, Quinta de Prados, Apanado 1013, 5001-801 Vila Real, Portugal;

    rnDepartamento de Fisica, Universidade de Tras-os-Montes e Alto Douro, Apanado 1013, 5001-801 Vila Real, Portugal;

    rnDepartamento de Fisica, Universidade de Tras-os-Montes e Alto Douro, Apanado 1013, 5001-801 Vila Real, Portugal CITAB/UTAD, Quinta de Prados, Apanado 1013, 5001-801 Vila Real, Portugal;

    rnDepartamento de Fisica, Universidade de Tras-os-Montes e Alto Douro, Apanado 1013, 5001-801 Vila Real, Portugal IFIMUP and IN - Institute of Nanotechnology, Departamento de Fisica da Faculdade de Ciencias da Universidade do Porto, Rua do Campo Alegre, 687, 4169-007 Porto, Portugal;

    rnDepartment of Chemical Engineering, Indian Institute of Technology, Kanpur 208 016, India;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    circular cylinder; nusselt number; temperature-thinning; shear-thinning; shear-thickening;

    机译:圆柱体努塞尔数温度变薄剪切稀化剪切增稠;

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