Search citation statements
Paper Sections
Citation Types
Year Published
Publication Types
Relationship
Authors
Journals
Qian [Tsien] Jian , a Chinese theoretical physicist and fluid dynamicist, devoted the second part of his scientific life to the physical understanding of small-scale turbulence to the exclusion of all else. To place Qian's contribution in an appropriate position in the field of small-scale turbulence, a historical overview and a state-of-the art review are attempted. Qian developed his own statistical theory of small-scale turbulence, based on the Liouville (1853) equation and a perturbation variational approach to non-equilibrium statistical mechanics, which is compatible with the Kolmogorov-Oboukhov energy spectrum. Qian's statistical theory of small-scale turbulence, which appears mathematically and physically valid, successfully led to his contributions to (i) the closure problem of turbulence; (ii) onedimensional turbulence; (iii) two-dimensional turbulence; (iv) the turbulent passive scalar field; (v) the cascade model of turbulence; (vi) the universal equilibrium range of turbulence; (vii) a simple model of the bump phenomenon; (viii) universal constants of turbulence; (ix) the intermittency of turbulence; and perhaps most importantly, (x) the effect of the Taylor microscale Reynolds number (π π ) on both the width of the inertial range of finite π π turbulence and the scaling exponents of velocity structure functions. In particular, Qian found that the inertial range cannot exist when π π βͺ 2000. In contrast to the prevailing intermittency models, he discovered that normal scaling is valid in the real Kolmogorov inertial range when π π approaches infinity while the anomalous scaling observed in experiments reflects the finite π π effect (π π ). He then made a correction to the famous Kolmogorov (1941c) equation and obtained the finite π π effect equation or the Kolmogorov-Novikov-Qian equation. He also independently derived the decay law of the finite π π effect. Following up Kraichnan, Qian steered all of us along the right path to an improved understanding of small-scale turbulence and solutions to its problems. Qian is credited with his contribution to enhanced knowledge about the finite π π effect of turbulence, which has profoundly shaped and stimulated thinking about the K41 turbulence, the K62 turbulence and the finite π π turbulence.
Qian [Tsien] Jian , a Chinese theoretical physicist and fluid dynamicist, devoted the second part of his scientific life to the physical understanding of small-scale turbulence to the exclusion of all else. To place Qian's contribution in an appropriate position in the field of small-scale turbulence, a historical overview and a state-of-the art review are attempted. Qian developed his own statistical theory of small-scale turbulence, based on the Liouville (1853) equation and a perturbation variational approach to non-equilibrium statistical mechanics, which is compatible with the Kolmogorov-Oboukhov energy spectrum. Qian's statistical theory of small-scale turbulence, which appears mathematically and physically valid, successfully led to his contributions to (i) the closure problem of turbulence; (ii) onedimensional turbulence; (iii) two-dimensional turbulence; (iv) the turbulent passive scalar field; (v) the cascade model of turbulence; (vi) the universal equilibrium range of turbulence; (vii) a simple model of the bump phenomenon; (viii) universal constants of turbulence; (ix) the intermittency of turbulence; and perhaps most importantly, (x) the effect of the Taylor microscale Reynolds number (π π ) on both the width of the inertial range of finite π π turbulence and the scaling exponents of velocity structure functions. In particular, Qian found that the inertial range cannot exist when π π βͺ 2000. In contrast to the prevailing intermittency models, he discovered that normal scaling is valid in the real Kolmogorov inertial range when π π approaches infinity while the anomalous scaling observed in experiments reflects the finite π π effect (π π ). He then made a correction to the famous Kolmogorov (1941c) equation and obtained the finite π π effect equation or the Kolmogorov-Novikov-Qian equation. He also independently derived the decay law of the finite π π effect. Following up Kraichnan, Qian steered all of us along the right path to an improved understanding of small-scale turbulence and solutions to its problems. Qian is credited with his contribution to enhanced knowledge about the finite π π effect of turbulence, which has profoundly shaped and stimulated thinking about the K41 turbulence, the K62 turbulence and the finite π π turbulence.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citationsβcitations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
customersupport@researchsolutions.com
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.
Copyright Β© 2024 scite LLC. All rights reserved.
Made with π for researchers
Part of the Research Solutions Family.