MA3L304
Undergraduate (ITEP)
· Generally offered: Autumn
Fluid Dynamics
L 3 T 1 P 0 Credits 4 Hours 4
Unit I: Kinematics of Fluid Motion: Solids, Liquids and Gases, Continuum hypothesis, Velocity at a point of a fluid, Lagrangian and Eulerian approaches, streamlines, pathlines and streak lines, Acceleration at a point of a fluid, Equation of continuity, Reynolds Transport theorem.
Unit II: Mechanics of Fluid Motion: Pressure (static and dynamic), Boundary conditions, Euler’s equation of motion of an ideal fluid, Bernoulli’s Equation, Kelvin's circulation theorem, Vorticity equation, Energy equation.
Unit III: Potential Flow: Analysis of Local fluid motion: Translation, Rotation, and Deformation, Vorticity, potential flow, Mean value of the velocity potential, Uniform flow, Axially symmetric flows, Sphere at rest in a uniform stream.
Unit IV: Two-Dimensional Flows: stream function, complex potential, complex velocity potential, sources, sinks, doublets, Milne-Thomson Circle Theorem, theorem of Blasius.
Full syllabus document →
Unit II: Mechanics of Fluid Motion: Pressure (static and dynamic), Boundary conditions, Euler’s equation of motion of an ideal fluid, Bernoulli’s Equation, Kelvin's circulation theorem, Vorticity equation, Energy equation.
Unit III: Potential Flow: Analysis of Local fluid motion: Translation, Rotation, and Deformation, Vorticity, potential flow, Mean value of the velocity potential, Uniform flow, Axially symmetric flows, Sphere at rest in a uniform stream.
Unit IV: Two-Dimensional Flows: stream function, complex potential, complex velocity potential, sources, sinks, doublets, Milne-Thomson Circle Theorem, theorem of Blasius.