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Home _Departments _Fluid mechanics
Fluid Mechanics
Lecture Fluid mechanics
Professor Prof. Delgado
Content Basic differential and integral equations within fluid mechanics (with Tensor spelling); transport phenomena in fluids (molecular considerations of thermal conductivity, diffusion coefficient and viscosity coefficient); dimensional analysis and derivation of the boundary layer equations; similarity solutions for wall bound and free boundary layer flows; other flows of boundary layer character (fully developed, steady, two-dimensional viscous flows); Approximation by Karmann and Pohl Hausen based on the example of the plate boundary layer; boundary layer equations for heat transfer and similarity solutions for thermal boundary layers; Fabric boundary layer and similarity solutions for fabric boundary layers.
Aims of the lecture The aim is to provide students with more in-depth knowledge of the fundamentals of fluid mechanics using the example of boundary layer flows. The focus is on the analytical investigation of laminar flow boundary layers, temperature and fabric boundary layers.
Lecture Micro-fluid dynamics
Professor Prof. Delgado
Content In natural and constructed microsystems, unfamiliar physics of the fluid flow have been discovered and utilized. In this course, we provide a theoretical basis for the study of micro-fluid dynamics and show sample studies from the literature, conducted at the Institute of Fluid mechanics (LSTM Erlangen). In the theoretical part, the fluid models for gases and liquids are discussed. The validity of the Navier Stokes equations is questioned by checking the continuum hypothesis. Different regimes of fluid flow are presented based on continuum considerations. Intermolecular, intramolecular, surface as well as dominant particle forces in micro-fluid devices are discussed. An overview of modeling strategies on molecular, meso and macro scales is given. Prominent examples and studies from the literature regarding micro-fluid dynamics are presented.
Aims of the lecture Students are expected to understand the multi-scaling and multi-physical nature flow phenomena in microsystems. The dominating forces in those systems will be made familiar to students. They should be able to conduct basic dimensional analysis to classify the flow with respect to the different flow regimes based on the continuum hypothesis. Ultimately, They can decide which forces can be effective under certain gas, liquid and particle laden flows in microsystems and which numerical modeling strategy is appropriate for a given microsystem. Using applied examples from the literature and from our Institute, it is expected that students will be able to bridge the gap between theory and application of the subject matter.
Lecture Physics of turbulence and turbulence modeling
Professor Prof. Delgado
Content Navier-Stokes equations; statistical description of turbulence (Reynolds equations, turbulent stresses, fluctuations, correlations, probability functions); kinematical description (isotropy, axisymmetry, anisotropy, invariants); turbulence measurements (hot wire anemometry, laser-Doppler anemometry); transport equations (Reynolds stresses, turbulence kinetic energy, turbulence dissipation rate); turbulence closures (energy equation: eddy viscosity, Prandtl-Kolmogorov formula, dissipation rate equation: two-point correlation, Kolmogorov micro-scale); two-equation model of turbulence; wall-bounded flows, free shear flows.
Aims of the lecture Students should understand the statistical description of turbulences as well as concepts of turbulence modeling and their applications to the Reynolds transport equations under the assumption of high Reynolds numbers.
Lecture Numerical fluid mechanics
Professor Prof. Delgado
Content Several grid technology and convergence behaviour; compressible solvents (discretization, methods of resolution, discontinuities, collisions); turbulence-simulation (Kolmogorovian energy cascade, dissipation, Eddy elongation); direct numerical simulation; Large Eddy simulation; Reynolds-averaged Navier-Stokes equation (problem of closing, stress tensor, Models: Eddy viscosity, zero, one and two equation models, Reynolds-tension); High-Performance Computing (efficient utilization, vectorizing, parallelization, disassembling of areas); moving grids; free surfaces; Fluid-Structure Interactions.
Aims of the lecture Enhancement of basic knowledge of numerical fluid mechanics: compressible fluids, turbulent fluids, high performance calculation, fluid-structure interactions; application of the theory in the classes.