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Fluid dynamics. Introduction Nikolai Kornev University of Rostock Vorlesung 1 6 April 2017 1/12
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Page 1: Fluid dynamics. Introduction - uni-rostock.de › ... › lecture1_FluidDynamik.pdf · Fluid dynamics. Introduction Nikolai Kornev University of Rostock Vorlesung 1 6 April 2017 1/12

Fluid dynamics. Introduction

Nikolai KornevUniversity of Rostock

Vorlesung 1 6 April 2017 1/12

Page 2: Fluid dynamics. Introduction - uni-rostock.de › ... › lecture1_FluidDynamik.pdf · Fluid dynamics. Introduction Nikolai Kornev University of Rostock Vorlesung 1 6 April 2017 1/12

Hoverwing HW-20

Vorlesung 1 7 April 2017

Vorlesungsplan

2/12

Page 3: Fluid dynamics. Introduction - uni-rostock.de › ... › lecture1_FluidDynamik.pdf · Fluid dynamics. Introduction Nikolai Kornev University of Rostock Vorlesung 1 6 April 2017 1/12

Classification of flows

Hoverwing HW-20

Vorlesung 1 7 April 2017 3/12

• Two and three dimensional flows• Steady and unsteady flows • Streamlines• Fluid particle trajectory• Viscous and inviscid flows

Page 4: Fluid dynamics. Introduction - uni-rostock.de › ... › lecture1_FluidDynamik.pdf · Fluid dynamics. Introduction Nikolai Kornev University of Rostock Vorlesung 1 6 April 2017 1/12

Viscosity of water and flow

Hoverwing HW-20

Vorlesung 1 7 April 2017 4/12

Viscosity of air Viscosity of water

Page 5: Fluid dynamics. Introduction - uni-rostock.de › ... › lecture1_FluidDynamik.pdf · Fluid dynamics. Introduction Nikolai Kornev University of Rostock Vorlesung 1 6 April 2017 1/12

Viscous flows. Main equations.

Hoverwing HW-20

Vorlesung 1 7 April 2017 5/12

Continuity equation

Navier Stokes equation

Navier Stokes equation

Navier Stokes equation

Analysis of acceleration

Page 6: Fluid dynamics. Introduction - uni-rostock.de › ... › lecture1_FluidDynamik.pdf · Fluid dynamics. Introduction Nikolai Kornev University of Rostock Vorlesung 1 6 April 2017 1/12

Inviscid flows. Euler equation.

Hoverwing HW-20

Vorlesung 1 7 April 2017 6/12

Continuity equation

Euler equation

Euler equation

Euler equation

Page 7: Fluid dynamics. Introduction - uni-rostock.de › ... › lecture1_FluidDynamik.pdf · Fluid dynamics. Introduction Nikolai Kornev University of Rostock Vorlesung 1 6 April 2017 1/12

Potential flows. Euler equation.

Hoverwing HW-20

Vorlesung 1 7 April 2017 7/12

Continuity equation

Inviscid flowsIrrotational flows

Laplace equation

Boundary conditions for Laplace equation:• No penetration condition• Decay at infinity

Page 8: Fluid dynamics. Introduction - uni-rostock.de › ... › lecture1_FluidDynamik.pdf · Fluid dynamics. Introduction Nikolai Kornev University of Rostock Vorlesung 1 6 April 2017 1/12

Bernoulli equation.

Hoverwing HW-20

Vorlesung 1 7 April 2017 8/12

Derivation of Bernoulli equation.

Physical meaning of each terms.

Extension to viscous flows.

Pressure coefficient Cp.

Page 9: Fluid dynamics. Introduction - uni-rostock.de › ... › lecture1_FluidDynamik.pdf · Fluid dynamics. Introduction Nikolai Kornev University of Rostock Vorlesung 1 6 April 2017 1/12

Vorlesung 1 6 April 2017 9/12

Cp distribution on cylinder.

Page 10: Fluid dynamics. Introduction - uni-rostock.de › ... › lecture1_FluidDynamik.pdf · Fluid dynamics. Introduction Nikolai Kornev University of Rostock Vorlesung 1 6 April 2017 1/12

Vorlesung 1 6 April 2017 10/12

Pitot tube.3621728.jpgMG-8493-1.jpg

Page 11: Fluid dynamics. Introduction - uni-rostock.de › ... › lecture1_FluidDynamik.pdf · Fluid dynamics. Introduction Nikolai Kornev University of Rostock Vorlesung 1 6 April 2017 1/12

Vorlesung 1 6 April 2017 11/12

Pitot tube.

Page 12: Fluid dynamics. Introduction - uni-rostock.de › ... › lecture1_FluidDynamik.pdf · Fluid dynamics. Introduction Nikolai Kornev University of Rostock Vorlesung 1 6 April 2017 1/12

Hoverwing HW-20

Vorlesung 1 6 April 2017

Thank you very much for your attention!

12/12


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