Mathematical Methods in Fluid Mechanics

  • type: Lecture / Practice (VÜ)
  • chair: KIT Department of Mechanical Engineering
  • semester: SS 2025
  • place:

    see ILIAS
  • time:

    see ILIAS
  • lecturer: Dr.-Ing. Davide Gatti
    Prof. Dr.-Ing. Bettina Frohnapfel
  • sws: 4
  • lv-no.: 2154540
  • information: On-Site
links
Content

The students can simplify the Navier-Stokes equations for specific flow problems. They are able to employ mathematical methods in fluid mechanics effectively in order to solve the resulting governing equations analytically, if possible, or to enable simpler numerical solution of the problem. The students can describe the limits of applicability of the assumptions made to model the flow behavior.

The lecture will cover a selection of the following topics:

  • Creeping flows (Stokes flow)
  • Lubrication theory 
  • Potential flow theory
  • Boundary-layer theory
  • Laminar-turbulent transition (linear stability theory)
  • Turbulent flows
Language of instructionEnglish
Bibliography

Kundu, P.K., Cohen, K.M.: Fluid Mechanics, Elsevier, 4th Edition, 2008

Kuhlmann, H.: Strömungsmechanik, Pearson, 2007

Spurk, J. H.: Strömungslehre, Springer, 2006

Zierep, J., Bühler, K.: Strömungsmechanik, Springer, 1991

Schlichting H., Gersten K., Grenzschichttheorie, Springer, 2006

Kundu, P.K., Cohen, K.M.: Fluid Mechanics, Elsevier, 4th Edition, 2008

Batchelor, G.K.: An Introduction to Fluid Dynamics, Cambridge Mathematical Library, 2000

Pope, S. B.: Turbulent Flows, Cambridge University Press, 2000

Ferziger, H., Peric, M.: Computational Methods for Fluid Dynamics, Springer, 2008