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Course11210231615 lectures

Ideal fluid flows using complex analysis

Prof. Amit Gupta · IIT Delhi

Start with lecture 1 At NPTEL

Lectures

week-01

  1. Ideal fluids, Velocity potential, Potential flows Video
  2. Stream function, Orthogonality of streamlines and equipotential lines Video
  3. Complex variables, Analyticity, Cauchy - Riemann equations, Complex potential, Complex velocity Video

week-02

  1. Elementary flows : Uniform flow, Source and Sink, Free vortex Video
  2. Flow in a bend, Flow around a sharp edge Video
  3. Superposition of source and sink : doublet flow Video

week-03

  1. Superposition of uniform flow & doublet Video
  2. Superposition of uniform flow, doublet and free vortex Video
  3. Superposition of source and uniform flow Video
  4. Problem solving session 1 Video
  5. Problem solving session 2 Video

week-04

  1. Method of images, Forces on a body, Blasius theorem Video
  2. Calculation of forces using derived flow field Video
  3. Introduction to conformal transformation Video
  4. Singularities and their transformations Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Delhi
Department
Mechanical Engineering
Teacher
Prof. Amit Gupta
Level
Undergraduate
Language
English
Subjects
Engineering
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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