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首页> 外文期刊>Heat Transfer Engineering >A New Multistep Technique Based on the Nonuniform Rational Basis Spline Curves for Nonlinear Transient Heat Transfer Analysis of Functionally Graded Truncated Cone
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A New Multistep Technique Based on the Nonuniform Rational Basis Spline Curves for Nonlinear Transient Heat Transfer Analysis of Functionally Graded Truncated Cone

机译：基于非均匀有理样条曲线的多步新方法，用于功能梯度截锥的非线性瞬态传热分析

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摘要

A novel multistep method based on the nonuniform rational basis spline curves is developed for the solution of a system of nonlinear differential equations. Efficiency of the presented method in terms of convergence and accuracy is demonstrated through the two-dimensional nonlinear transient heat transfer analysis of multilayered functionally graded truncated cone subjected to an internal thermal load with radiative-convective boundary condition at outer surface. In order to discretize the governing equations in the spatial domain, a layerwise-differential quadrature method is implemented. This transforms the partial differential equations into a system of nonlinear ordinary differential equations in the temporal domain, which is then solved using the presented technique. Comparative studies between predictions of the presented multistep technique and various existing numerical methods demonstrate superior computational efficiency of the method with low computational cost. High efficiency of this method indicated that the presented multistep approach can be successfully employed in various nonlinear problems. Finally, the effects of different parameters on the transient temperature of the truncated cone are studied. It is expected that the presented multistep method will be applied on various practical engineering problems in future studies.
机译：提出了一种基于非均匀有理样条曲线的多步法，用于求解非线性微分方程组。通过对多层功能梯度截头圆锥进行二维非线性瞬态传热分析，证明了该方法在收敛性和准确性方面的有效性。为了在空间域中离散控制方程，实现了分层微分正交方法。这将偏微分方程转换为时域的非线性常微分方程系统，然后使用提出的技术对其进行求解。所提出的多步技术的预测与各种现有数值方法之间的比较研究表明，该方法具有较高的计算效率，且计算成本较低。该方法的高效率表明，所提出的多步方法可以成功地用于各种非线性问题。最后，研究了不同参数对截锥瞬态温度的影响。预期提出的多步法将在未来的研究中应用于各种实际工程问题。

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  • 来源
    《Heat Transfer Engineering》 |2019年第8期|588-603|共16页
  • 作者

    Heydarpour Yasin; Mohammadi-Aghdam Mohammad;

  • 作者单位

    Persian Gulf Univ, Dept Mech Engn, Bushehr, Iran;

    Amirkabir Univ Technol, Thermoelastic Ctr Excellence, Dept Mech Engn, Tehran, Iran;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);
  • 原文格式 PDF
  • 正文语种 eng
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