Fluidodinamica delle Macchine


Teacher:   Francesco MARTELLI –


  • Teaching Language:




  • Reference textbook


Part I  :

  • Elements of Gas dynamics       Liepman  & Rosho       Mc Graw-Hill ISBN 0-07-048197-0
  • Compressible Fluid Dynamics Shapiro – ISBN ISBN 0-13-308552-X


Part II  :

  • “Computational Fluid Dynamics – The Basics with Applications” John David Anderson
  •  “Numerical Computation of Internal and External Flows” – Volume 1 e II– C.Hirsch
  • “Computational Fluid Dynamics for Engineers . Volume I e II” – K.A.Hoffmann-S.T.Chiang


Part III

  • “Introduction to Turbulent Flow” J.Mathieu,J.Scott –Cambridge University press, ISBN 0 521570662
  • “Boundary-Layer Theory” – Dr. Hermann Schlichting – McGraw-Hill Series in Mechanical Engineering
  • “A First Course in Turbulence “ H.Tennekes  & J.L. Lumley, ISBN 0 262 20019 8


Part IV

  • Notes from the course Francesco Martelli
  • “Fluid Dynamics and Heat Transfer of Turbomachinery” – Budugur Lakshminarayana


Part V

  • “Gas Turbine Combustion” Arthur H.Lefebvre
  • Swirl Flow A.K. Gupta , D.G.Lilley


  • Aims

Aims of the course is to provide conceptual & methodological tools  to the quantitative studies of the basic fluid dynamics phenomena relevant for the Mechanical Engineering applications

On this basis the  elemets needed to analyse and design the power generation plants and their main components  like turbomachinery and combustion chambers . The  use and understanding of the most up date computational codes (CFD) are approached and tested..


  • Teaching methodology

Room lectures, practical exercise and possibility of home work


  • Evaluation of the candidate

Oral examination , and possibility of  home work as part of the examination.


  • Programme

The course is splitted in five parts


PART I : General Fluid dynamics

  • Genera balance equation in 3 dimension , Newtonian Fluid, Discussiona and comments on the features of Navier stokes Eq. , Vorticity  Poisson Eq. Entropy version, etc.;
  • Order of Magnitude and simplified Models , Non dimensional Numbers;
  • Eulerian Flow , Eq.Crocco, Potential Flow Stream Function and Incompressible flow , subsonic;
  • Supersonic Flow, shock wave and Prandt-mayer, Characteristic lines;
  • Singular Perturbation , Boundary layer Incompressible and Compressible, Integral Eq.
  • Turbulence and transition.

PART II :   Numerical Methods (CFD)

  • Basic theorem Space discretization –Different Grid types
  • Equation discretization , different approaches (EF-VF-DF)
  • Numerical Methods of Solution: Central, upwind, and Stability
  • Time marching Methods for Compressible Flow
  • Pressure Correction and Chorin Methods for Incompressible flow
  • Unsteady simulation
  • Post processing a pre processing


PART III :  Physical Models

  • Turbulence modelling
  • Bousinesque (algebraic, Transport Eq. , Low Reynolds)
  • Reynolds stress
  • LES- DNS
  • Combustion Models hints


PART IV :  Turbomachinery Models

  • Hierarchy of the Models, Mean Line,
  • NISRE, Through Flow ,e Tangential Avaerage
  • Secondary Flow
  • 3D calculation and stage ;
  • Blade Design problems


PART V :  Combustion Chamber

  • Kinetics and hints of Combustion
  • DLN combustion system for
  • Combustion Chamber experimental approach & similitude;
  • CFD simulation of Premix sistem.
  • Industrial Combustion Chamber and fuel flexibility.
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