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Ecole nationale supérieure de l'Énergie, l'Eau et l'Environnement
Engineering school in energy, water and environment
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> Study at Ense3 > Double degrees > E3-STU-COURSES

Convection (IEN/ME) - 5EMGAAI0

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  • Number of hours

    • Lectures : 24.0
    ECTS : 2.0


Controlling fluid flows with heat transfer is essential for designing and optimizing efficient systems and requires a good understanding of the phenomena and their modelling. The purpose of the present course is to facilitate the approach to the problems of convective heat transfer.

Contact Laurent JOSSIC


Introduction and concepts: Governing equations, transport of momentum, enthalpy and entropy.
Laminar boundary layers with heat transfer: Boundary layer approximations, scale analysis, asymptotic analysis at small and large Prandtl numbers, similarity solutions, von Karman integral equations, effects of adverse pressure gradient, Falkner-Skan flows, non-dimensional analysis and fundamental non-dimensional numbers governing the heat, mass and momentum transfer.
Heat transfer in internal flows: Fully developed heat transfer in ducts subject to either constant wall temperature or constant wall flux, concept of hydraulic and thermal development length.
Buoyancy driven flows: Boussinesq approximation, similarity and integral solutions in buoyancy driven flows, stratification, natural convection combined with forced convection, condensation.
Turbulence: Wall turbulence, multi-layer approach, distribution of temperature and velocity, turbulent boundary layers with heat transfer, mixing length and eddy viscosity closures.
Turbulent free shear layers: Plane and round turbulent jets, turbulent mixing layers, turbulent thermal wakes, turbulent plumes.
Mass transfer: basic equations, mass transfer in laminar and turbulent flows, mass transfer and chemical reactions.
Heat exchangers: Basic concepts and design.


Advanced fluid dynamics


Additional Information

Curriculum->IEN->Semester 5
Curriculum->ME->Semester 5


Ecoulements avec échanges de chaleur 1, Convection Laminaire, Hermès, ISBN 978-2-7462-2040-9, Michel Favre-Marinet, S. Tardu, 2008, 279 pages.

Ecoulements avec échanges de chaleur 2, Convection Turbulente, Hermès, ISBN 978-2-7462-2041-6, avec Michel Favre-Marinet, S. Tardu, 2008, 214 pages.

Analysis of Heat and Mass Transfer
E.G. ECKERT; R.D. DRAKE McGraw-Hill 1972

Boundary Layer Theory
H. SCHLICHTING McGraw-Hill Seventh Edition 1979

J.O. HINZE McGraw-Hill Second Edition 1975

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Université Grenoble Alpes