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Unsteady flow and heat transfer of tangent-hyperbolic fluid: Legendre wavelet-based analysis

机译：切线双曲流体的不稳定流量和传热：基于Legendre小波的分析

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摘要

The objective of the current article is to explore the unsteady flow and heat transfer of magnetohy-drodynamics tangent-hyperbolic fluid flow over a stretching sheet. The governing flow model is transformed into a nonlinear set of ordinary differential equations by utilizing the appropriate similarity techniques. A new modification is introduced into the traditional Legendre wavelet method to obtain the results of the model mentioned above. The classic wavelet scheme is unable to find the solution for an infinite domain. Hence, we successfully extended it for an infinite domain and used it to attain the significant findings of the fluid problem. Additionally, the study of emerging parameters on temperature and velocity profiles is reported graphically. The velocity behavior is decreasing for the physical parameters, namely, power-lax index, unsteadiness, Hartmann number, and Weissenberg number. The temperature profile is an increasing function for power-law index and Eckert number while the behavior is the opposite for the Prandtl number. Moreover, a tabular form comparison of outcomes with existing literature, convergence, and error analysis is provided in our study, which confirms the credibility of the suggested method. The obtained results endorse the credibility and reliability of the proposed method; therefore, it could be extended for other nonlinear problems of complex nature.
机译：本文的目的是探讨磁流动动力学切线 - 双曲流流体流过拉伸板的不稳定流量和传热。通过利用适当的相似性技术，控制流量模型被转换成非线性常规方程。将新的修改引入传统的Legendre小波法中，以获得上述模型的结果。经典的小波方案无法找到无限域的解决方案。因此，我们成功向无限域扩展了它，并用它来实现流体问题的重要发现。另外，以图形方式报告了对温度和速度剖面上的新出现参数的研究。速度行为正在减少物理参数，即Power-Lax指数，不稳定，Hartmann号和Weissenberg编号。温度曲线是幂律指数的越来越多的函数，而埃克特数量对于Prandtl号码相反。此外，我们的研究中提供了具有现有文献，收敛和误差分析的结果的表格形式比较，这证实了建议方法的可信度。所获得的结果赞同该方法的可信度和可靠性;因此，可以延长复杂性质的其他非线性问题。

著录项

  • 来源
    《Heat transfer》 |2021年第4期|3079-3093|共15页
  • 作者

    Muhammad Usman; Tamour Zubair; Muhammad Hamid; Rizwan Ul Haq; Zafar Hayat Khan;

  • 作者单位

    BIC-ESAT College of Engineering Peking University Beijing China Department of Mechanics and Engineering Science State Key Laboratory for Turbulence and Complex Systems Peking University Beijing China Institute of Ocean Research Peking University Beijing China;

    School of Mathematical Sciences Peking University Beijing China;

    Department of Mechanics and Engineering Science Fudan University Shanghai China;

    Department of Electrical Engineering Bahria University Islamabad Pakistan;

    State Key Laboratory of Hydraulics and Mountain River Engineering College of Water Resource & Hydropower Sichuan University Chengdu China;

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

    heat transfer; Legendre polynomials; tangent-hyperbolic fluid; unsteady flow; wavelets solution;

    机译：传播热量;Legendre多项式;切线双曲线;流动不稳定;小波解决方案;

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