*Anatoly I. Ruban*

- Published in print:
- 2017
- Published Online:
- January 2018
- ISBN:
- 9780199681754
- eISBN:
- 9780191761621
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780199681754.001.0001
- Subject:
- Physics, Soft Matter / Biological Physics, Condensed Matter Physics / Materials

This is Part 3 of a book series on fluid dynamics. This is designed to give a comprehensive and coherent description of fluid dynamics, starting with chapters on classical theory suitable for an ...
More

This is Part 3 of a book series on fluid dynamics. This is designed to give a comprehensive and coherent description of fluid dynamics, starting with chapters on classical theory suitable for an introductory undergraduate lecture courses, and then progressing through more advanced material up to the level of modern research in the field. This book is devoted to high-Reynolds number flows. It begins by analysing the flows that can be described in the framework of Prandtl’s 1904 classical boundary-layer theory. These analyses include the Blasius boundary layer on a flat plate, the Falkner-Skan solutions for the boundary layer on a wedge surface, and other applications of Prandtl’s theory. It then discusses separated flows, and considers first the so-called ‘self-induced separation’ in supersonic flow that was studied in 1969 by Stewartson and Williams, as well as by Neiland, and led to the ‘triple-deck model’. It also presents Sychev’s 1972 theory of the boundary-layer separation in an incompressible fluid flow past a circular cylinder. It discusses the triple-deck flow near the trailing edge of a flat plate first investigated in 1969 by Stewartson and in 1970 by Messiter. It then considers the incipience of the separation at corner points of the body surface in subsonic and supersonic flows. It concludes by covering the Marginal Separation theory, which represents a special version of the triple-deck theory, and describes the formation and bursting of short separation bubbles at the leading edge of a thin aerofoil.Less

This is Part 3 of a book series on fluid dynamics. This is designed to give a comprehensive and coherent description of fluid dynamics, starting with chapters on classical theory suitable for an introductory undergraduate lecture courses, and then progressing through more advanced material up to the level of modern research in the field. This book is devoted to high-Reynolds number flows. It begins by analysing the flows that can be described in the framework of Prandtl’s 1904 classical boundary-layer theory. These analyses include the Blasius boundary layer on a flat plate, the Falkner-Skan solutions for the boundary layer on a wedge surface, and other applications of Prandtl’s theory. It then discusses separated flows, and considers first the so-called ‘self-induced separation’ in supersonic flow that was studied in 1969 by Stewartson and Williams, as well as by Neiland, and led to the ‘triple-deck model’. It also presents Sychev’s 1972 theory of the boundary-layer separation in an incompressible fluid flow past a circular cylinder. It discusses the triple-deck flow near the trailing edge of a flat plate first investigated in 1969 by Stewartson and in 1970 by Messiter. It then considers the incipience of the separation at corner points of the body surface in subsonic and supersonic flows. It concludes by covering the Marginal Separation theory, which represents a special version of the triple-deck theory, and describes the formation and bursting of short separation bubbles at the leading edge of a thin aerofoil.

*Anatoly I. Ruban*

- Published in print:
- 2017
- Published Online:
- January 2018
- ISBN:
- 9780199681754
- eISBN:
- 9780191761621
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780199681754.003.0001
- Subject:
- Physics, Soft Matter / Biological Physics, Condensed Matter Physics / Materials

This book investigates high-Reynolds number flows, and analyses flows that can be described in the framework of Prandtl’s 1904 classical boundary-layer theory, including Blasius’s boundary layer on a ...
More

This book investigates high-Reynolds number flows, and analyses flows that can be described in the framework of Prandtl’s 1904 classical boundary-layer theory, including Blasius’s boundary layer on a flat plate, Falkner–Skan solutions for the boundary layer on a wedge surface, and other applications of Prandtl’s theory. It then discusses separated flows, and considers the so-called ‘self-induced separation’ in supersonic flow, and which led to the ‘triple-deck model’. It also presents Sychev’s 1972 theory of the boundary-layer separation in an incompressible fluid flow past a circular cylinder. It discusses the triple-deck flow near the trailing edge of a flat plate, and then considers the incipience of the separation at corner points of the body surface in subsonic and supersonic flows. It covers the Marginal Separation theory—a special version of the triple-deck theory—and describes the formation and bursting of short separation bubbles at the leading edge of a thin aerofoil.Less

This book investigates high-Reynolds number flows, and analyses flows that can be described in the framework of Prandtl’s 1904 classical boundary-layer theory, including Blasius’s boundary layer on a flat plate, Falkner–Skan solutions for the boundary layer on a wedge surface, and other applications of Prandtl’s theory. It then discusses separated flows, and considers the so-called ‘self-induced separation’ in supersonic flow, and which led to the ‘triple-deck model’. It also presents Sychev’s 1972 theory of the boundary-layer separation in an incompressible fluid flow past a circular cylinder. It discusses the triple-deck flow near the trailing edge of a flat plate, and then considers the incipience of the separation at corner points of the body surface in subsonic and supersonic flows. It covers the Marginal Separation theory—a special version of the triple-deck theory—and describes the formation and bursting of short separation bubbles at the leading edge of a thin aerofoil.

*Anatoly I. Ruban*

- Published in print:
- 2017
- Published Online:
- January 2018
- ISBN:
- 9780199681754
- eISBN:
- 9780191761621
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780199681754.003.0006
- Subject:
- Physics, Soft Matter / Biological Physics, Condensed Matter Physics / Materials

Chapter 5 discusses the ‘short separation bubble’ that forms at the leading edge of an aerofoil when the angle of attack reaches a certain value. It then suggests that the process of the formation of ...
More

Chapter 5 discusses the ‘short separation bubble’ that forms at the leading edge of an aerofoil when the angle of attack reaches a certain value. It then suggests that the process of the formation of the bubble is described by the Marginal Separation theory, which represents a special version of the triple-deck theory. It then covers how, in this case, the viscous-inviscid interaction problem may be reduced to an integro-differential equation for the skin friction. It discusses how by solving this equation not only the transition from attached to separated flow in the boundary layer be predicted, but also the well-known phenomenon of the ‘bubble bursting’ that leads to a sudden loss of the lift produced by an aerofoil.Less

Chapter 5 discusses the ‘short separation bubble’ that forms at the leading edge of an aerofoil when the angle of attack reaches a certain value. It then suggests that the process of the formation of the bubble is described by the Marginal Separation theory, which represents a special version of the triple-deck theory. It then covers how, in this case, the viscous-inviscid interaction problem may be reduced to an integro-differential equation for the skin friction. It discusses how by solving this equation not only the transition from attached to separated flow in the boundary layer be predicted, but also the well-known phenomenon of the ‘bubble bursting’ that leads to a sudden loss of the lift produced by an aerofoil.

*Anatoly I. Ruban*

- Published in print:
- 2017
- Published Online:
- January 2018
- ISBN:
- 9780199681754
- eISBN:
- 9780191761621
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780199681754.003.0005
- Subject:
- Physics, Soft Matter / Biological Physics, Condensed Matter Physics / Materials

Chapter 4 analyses the transition from an attached flow to a flow with local recirculation region near a corner point of a body contour. It considers both subsonic and supersonic flow regimes, and ...
More

Chapter 4 analyses the transition from an attached flow to a flow with local recirculation region near a corner point of a body contour. It considers both subsonic and supersonic flow regimes, and shows that the flow near a corner can be studied in the framework of the triple-deck theory. It assumes that the body surface deflection angle is small, and formulates the linearized viscous-inviscid interaction problem. Its solution is found in an analytic form. It also presents the results of the numerical solution of the full nonlinear problem. It shows how, and when, the separation region forms in the boundary layer. In conclusion, it suggests that in the subsonic flow past a concave corner, the solution is not unique.Less

Chapter 4 analyses the transition from an attached flow to a flow with local recirculation region near a corner point of a body contour. It considers both subsonic and supersonic flow regimes, and shows that the flow near a corner can be studied in the framework of the triple-deck theory. It assumes that the body surface deflection angle is small, and formulates the linearized viscous-inviscid interaction problem. Its solution is found in an analytic form. It also presents the results of the numerical solution of the full nonlinear problem. It shows how, and when, the separation region forms in the boundary layer. In conclusion, it suggests that in the subsonic flow past a concave corner, the solution is not unique.