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In this chapter, the URANS closure modeling based on the zero balance equation is presented. It begins with an introduction to the topic in Sect. 7.1. In Sect. 7.2, the Prandtl Mixing Length is presented. In Sect. 7.3, continuous solutions for a mixing layer in temporal development in laminar and turbulent regimes are presented. In Sect. 7.4, a mixing layer in spatial development is also presented. The continuous solution for a turbulent distant wake is presented in Sect. 7.5. Continuous solutions for flat laminar and turbulent jets are presented in Sect. 7.6. In Sects. 7.7 and 7.8, a theoretical analysis is presented for turbulent plane Poiseuille flows with thermal effects. This chapter ends with a list of exercises in Sect. 7.9.

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URANS Closure Models Based on Zero Balance Equation

  • 章节

  • 发表日期：

    2026年

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  • Aristeu da Silveira Neto

摘要

In this chapter, the URANS closure modeling based on the zero balance equation is presented. It begins with an introduction to the topic in Sect. 7.1. In Sect. 7.2, the Prandtl Mixing Length is presented. In Sect. 7.3, continuous solutions for a mixing layer in temporal development in laminar and turbulent regimes are presented. In Sect. 7.4, a mixing layer in spatial development is also presented. The continuous solution for a turbulent distant wake is presented in Sect. 7.5. Continuous solutions for flat laminar and turbulent jets are presented in Sect. 7.6. In Sects. 7.7 and 7.8, a theoretical analysis is presented for turbulent plane Poiseuille flows with thermal effects. This chapter ends with a list of exercises in Sect. 7.9.