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Introduction |
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Continuum mechanics |
Continuum |
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3. |
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Vector calculas and index notation |
Vector, Tensor |
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Vector calculas and index notation |
Gauss theorem, Stokes theorem |
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4. |
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Kinematics of local fluid motion |
Eulerian, Lagrangian |
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Kinematics of local fluid motion |
decomposition of motion |
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5. |
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Bagic laws |
continuity |
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Bagic laws |
stream function |
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6. |
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Newtonian fluid and Navier Stokes equation |
momentum equation |
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Newtonian fluid and Navier Stokes equation |
energy equation |
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Newtonian fluid and Navier Stokes equation |
newtonian fluid |
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Euler equation |
euler |
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8. |
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Mechanical energy, head loss, bernoulli equation |
bernoulli equation |
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Mechanical energy, head loss, bernoulli equation |
channel flow |
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Rayleigh problem |
Rayleigh |
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Stokes oscillating plate |
Stokes oscillating plate |
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Oseen vortex |
Oseen vortex |
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Vorticity dynamics |
vortex tube |
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Vorticity dynamics |
Helmholtzs laws for inviscid flow, kelvins theorem |
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14. |
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Flows at moderate Re |
Renolds number |
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Flow around a circular cylinder |
cylinder, wake |
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Flow around a circular cylinder |
Integration Equation, Momentum thickness |
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Drag force |
Friction drag, Pressure(form) drag |
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Boundary layer |
Scale analysis |
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Boundary layer |
Blasius equation |
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Boundary layer |
Blasius equation, displacement thickness |
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Falkner-Skan similarity solution |
Falkner-Skan similarity solution |
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22. |
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Falkner-Skan similarity solution |
Falkner-Skan, free shear layer |
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Jets fluid entrainment |
Jets fluid entrainment, plane wake flow |
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Flow at low renolds numbers |
Stokes flow |
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