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Fluid dynamics. Introduction

Nikolai KornevUniversity of Rostock

Vorlesung 1 6 April 2017 1/12

Hoverwing HW-20

Vorlesung 1 7 April 2017

Vorlesungsplan

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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

Viscosity of water and flow

Hoverwing HW-20

Vorlesung 1 7 April 2017 4/12

Viscosity of air Viscosity of water

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

Inviscid flows. Euler equation.

Hoverwing HW-20

Vorlesung 1 7 April 2017 6/12

Continuity equation

Euler equation

Euler equation

Euler equation

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

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.

Vorlesung 1 6 April 2017 9/12

Cp distribution on cylinder.

Vorlesung 1 6 April 2017 10/12

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

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Pitot tube.

Hoverwing HW-20

Vorlesung 1 6 April 2017

Thank you very much for your attention!

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