Download - The Bernoulli equation and the Kelvin circulation …astronomy.nmsu.edu/aklypin/AST506/BernoulliKelvin.pdfLet's define a unit vector z), which is tangent to the streamline at any point

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Page 1: The Bernoulli equation and the Kelvin circulation …astronomy.nmsu.edu/aklypin/AST506/BernoulliKelvin.pdfLet's define a unit vector z), which is tangent to the streamline at any point

The Bernoulli equation and

the Kelvin circulation theorem

Page 2: The Bernoulli equation and the Kelvin circulation …astronomy.nmsu.edu/aklypin/AST506/BernoulliKelvin.pdfLet's define a unit vector z), which is tangent to the streamline at any point

Page 3: The Bernoulli equation and the Kelvin circulation …astronomy.nmsu.edu/aklypin/AST506/BernoulliKelvin.pdfLet's define a unit vector z), which is tangent to the streamline at any point

Page 4: The Bernoulli equation and the Kelvin circulation …astronomy.nmsu.edu/aklypin/AST506/BernoulliKelvin.pdfLet's define a unit vector z), which is tangent to the streamline at any point

Page 5: The Bernoulli equation and the Kelvin circulation …astronomy.nmsu.edu/aklypin/AST506/BernoulliKelvin.pdfLet's define a unit vector z), which is tangent to the streamline at any point

Page 6: The Bernoulli equation and the Kelvin circulation …astronomy.nmsu.edu/aklypin/AST506/BernoulliKelvin.pdfLet's define a unit vector z), which is tangent to the streamline at any point

Page 7: The Bernoulli equation and the Kelvin circulation …astronomy.nmsu.edu/aklypin/AST506/BernoulliKelvin.pdfLet's define a unit vector z), which is tangent to the streamline at any point

Page 8: The Bernoulli equation and the Kelvin circulation …astronomy.nmsu.edu/aklypin/AST506/BernoulliKelvin.pdfLet's define a unit vector z), which is tangent to the streamline at any point

Page 9: The Bernoulli equation and the Kelvin circulation …astronomy.nmsu.edu/aklypin/AST506/BernoulliKelvin.pdfLet's define a unit vector z), which is tangent to the streamline at any point

Evolution of angular momentum L(t) of a patch of dark matter over time.

TTT = predictions of the tidal torque theoryNB = N-body simulations

Page 10: The Bernoulli equation and the Kelvin circulation …astronomy.nmsu.edu/aklypin/AST506/BernoulliKelvin.pdfLet's define a unit vector z), which is tangent to the streamline at any point

Evolution of thew spin parameter and mass of the major progenitor of a Milky-Way-size dark matter halo.

Page 11: The Bernoulli equation and the Kelvin circulation …astronomy.nmsu.edu/aklypin/AST506/BernoulliKelvin.pdfLet's define a unit vector z), which is tangent to the streamline at any point

Page 12: The Bernoulli equation and the Kelvin circulation …astronomy.nmsu.edu/aklypin/AST506/BernoulliKelvin.pdfLet's define a unit vector z), which is tangent to the streamline at any point

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