Viscous/inviscid interacting shear flow theory with inferences and their applications to CFD

Z. Gao, Y. Q. Shen, GeCheng Zha

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In the viscous/inviscid interacting shear flow(ISF) theory, interacting shear perturbed flow(ISPF) theory and interacting shear turbulent flow(ISTF) theory suggested by Gao, the ISF consists of viscous shear layer and neighboring outer inviscid flow, which interact each other. The motion laws, definition and governing equations of the above three flows are described in ISF’s optimal coordinates, which is a fitted dividing flow surface orthogonal coordinates. The scaling laws of velocity and length of ISF’s viscous layer are deduced the scaling laws imply the strength of viscous/inviscid flow interaction. The scaling laws of velocity and length of both ISPF’s viscous perturbed layer and ISTF’s viscous turbulent layer are also given. The equations governing ISF are the Parabolized Navier-Stokes(PNS) equations, which can be simplified further on the dividing surface. The resultant equations are defined as dividing flows surface criteria, whose two important special cases are wall-surface criteria for viscous and inviscid flows. The ISF’s optimal coordinates and length scaling law are used to design the grid. The small scale structures given by the scaling laws can be used to predict local sudden changes of heat flux etc. , which are very important for hypersonic flows. The wall-surface criteria are used to validate NS numerical solutions for ISF and flow near walls. The wall-surface criteria method has several advantages over the commonly used grid convergence criteria. The applications of ISF theory indicates its effectiveness and further studies and development are needed.

Original languageEnglish (US)
Title of host publication52nd Aerospace Sciences Meeting
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Print)9781624102561
StatePublished - 2014
Event52nd Aerospace Sciences Meeting 2014 - National Harbor, United States
Duration: Jan 13 2014Jan 17 2014

Other

Other52nd Aerospace Sciences Meeting 2014
CountryUnited States
CityNational Harbor
Period1/13/141/17/14

Fingerprint

Shear flow
Scaling laws
Computational fluid dynamics
Flow interactions
Hypersonic flow
Viscous flow
Navier Stokes equations
Turbulent flow
Heat flux

Keywords

  • CFD's verification and validation
  • Computational fluid dynamic
  • Fluid dynamics
  • Scaling law
  • Viscous/inviscid interacting flow

ASJC Scopus subject areas

  • Aerospace Engineering

Cite this

Gao, Z., Shen, Y. Q., & Zha, G. (2014). Viscous/inviscid interacting shear flow theory with inferences and their applications to CFD. In 52nd Aerospace Sciences Meeting American Institute of Aeronautics and Astronautics Inc..

Viscous/inviscid interacting shear flow theory with inferences and their applications to CFD. / Gao, Z.; Shen, Y. Q.; Zha, GeCheng.

52nd Aerospace Sciences Meeting. American Institute of Aeronautics and Astronautics Inc., 2014.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Gao, Z, Shen, YQ & Zha, G 2014, Viscous/inviscid interacting shear flow theory with inferences and their applications to CFD. in 52nd Aerospace Sciences Meeting. American Institute of Aeronautics and Astronautics Inc., 52nd Aerospace Sciences Meeting 2014, National Harbor, United States, 1/13/14.
Gao Z, Shen YQ, Zha G. Viscous/inviscid interacting shear flow theory with inferences and their applications to CFD. In 52nd Aerospace Sciences Meeting. American Institute of Aeronautics and Astronautics Inc. 2014
Gao, Z. ; Shen, Y. Q. ; Zha, GeCheng. / Viscous/inviscid interacting shear flow theory with inferences and their applications to CFD. 52nd Aerospace Sciences Meeting. American Institute of Aeronautics and Astronautics Inc., 2014.
@inproceedings{cebff2feb88543b5b7703a122f274932,
title = "Viscous/inviscid interacting shear flow theory with inferences and their applications to CFD",
abstract = "In the viscous/inviscid interacting shear flow(ISF) theory, interacting shear perturbed flow(ISPF) theory and interacting shear turbulent flow(ISTF) theory suggested by Gao, the ISF consists of viscous shear layer and neighboring outer inviscid flow, which interact each other. The motion laws, definition and governing equations of the above three flows are described in ISF’s optimal coordinates, which is a fitted dividing flow surface orthogonal coordinates. The scaling laws of velocity and length of ISF’s viscous layer are deduced the scaling laws imply the strength of viscous/inviscid flow interaction. The scaling laws of velocity and length of both ISPF’s viscous perturbed layer and ISTF’s viscous turbulent layer are also given. The equations governing ISF are the Parabolized Navier-Stokes(PNS) equations, which can be simplified further on the dividing surface. The resultant equations are defined as dividing flows surface criteria, whose two important special cases are wall-surface criteria for viscous and inviscid flows. The ISF’s optimal coordinates and length scaling law are used to design the grid. The small scale structures given by the scaling laws can be used to predict local sudden changes of heat flux etc. , which are very important for hypersonic flows. The wall-surface criteria are used to validate NS numerical solutions for ISF and flow near walls. The wall-surface criteria method has several advantages over the commonly used grid convergence criteria. The applications of ISF theory indicates its effectiveness and further studies and development are needed.",
keywords = "CFD's verification and validation, Computational fluid dynamic, Fluid dynamics, Scaling law, Viscous/inviscid interacting flow",
author = "Z. Gao and Shen, {Y. Q.} and GeCheng Zha",
year = "2014",
language = "English (US)",
isbn = "9781624102561",
booktitle = "52nd Aerospace Sciences Meeting",
publisher = "American Institute of Aeronautics and Astronautics Inc.",

}

TY - GEN

T1 - Viscous/inviscid interacting shear flow theory with inferences and their applications to CFD

AU - Gao, Z.

AU - Shen, Y. Q.

AU - Zha, GeCheng

PY - 2014

Y1 - 2014

N2 - In the viscous/inviscid interacting shear flow(ISF) theory, interacting shear perturbed flow(ISPF) theory and interacting shear turbulent flow(ISTF) theory suggested by Gao, the ISF consists of viscous shear layer and neighboring outer inviscid flow, which interact each other. The motion laws, definition and governing equations of the above three flows are described in ISF’s optimal coordinates, which is a fitted dividing flow surface orthogonal coordinates. The scaling laws of velocity and length of ISF’s viscous layer are deduced the scaling laws imply the strength of viscous/inviscid flow interaction. The scaling laws of velocity and length of both ISPF’s viscous perturbed layer and ISTF’s viscous turbulent layer are also given. The equations governing ISF are the Parabolized Navier-Stokes(PNS) equations, which can be simplified further on the dividing surface. The resultant equations are defined as dividing flows surface criteria, whose two important special cases are wall-surface criteria for viscous and inviscid flows. The ISF’s optimal coordinates and length scaling law are used to design the grid. The small scale structures given by the scaling laws can be used to predict local sudden changes of heat flux etc. , which are very important for hypersonic flows. The wall-surface criteria are used to validate NS numerical solutions for ISF and flow near walls. The wall-surface criteria method has several advantages over the commonly used grid convergence criteria. The applications of ISF theory indicates its effectiveness and further studies and development are needed.

AB - In the viscous/inviscid interacting shear flow(ISF) theory, interacting shear perturbed flow(ISPF) theory and interacting shear turbulent flow(ISTF) theory suggested by Gao, the ISF consists of viscous shear layer and neighboring outer inviscid flow, which interact each other. The motion laws, definition and governing equations of the above three flows are described in ISF’s optimal coordinates, which is a fitted dividing flow surface orthogonal coordinates. The scaling laws of velocity and length of ISF’s viscous layer are deduced the scaling laws imply the strength of viscous/inviscid flow interaction. The scaling laws of velocity and length of both ISPF’s viscous perturbed layer and ISTF’s viscous turbulent layer are also given. The equations governing ISF are the Parabolized Navier-Stokes(PNS) equations, which can be simplified further on the dividing surface. The resultant equations are defined as dividing flows surface criteria, whose two important special cases are wall-surface criteria for viscous and inviscid flows. The ISF’s optimal coordinates and length scaling law are used to design the grid. The small scale structures given by the scaling laws can be used to predict local sudden changes of heat flux etc. , which are very important for hypersonic flows. The wall-surface criteria are used to validate NS numerical solutions for ISF and flow near walls. The wall-surface criteria method has several advantages over the commonly used grid convergence criteria. The applications of ISF theory indicates its effectiveness and further studies and development are needed.

KW - CFD's verification and validation

KW - Computational fluid dynamic

KW - Fluid dynamics

KW - Scaling law

KW - Viscous/inviscid interacting flow

UR - http://www.scopus.com/inward/record.url?scp=84938276510&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84938276510&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9781624102561

BT - 52nd Aerospace Sciences Meeting

PB - American Institute of Aeronautics and Astronautics Inc.

ER -