Computational Heat Transfer and Thermal Modeling


Course Outline

  • Introduction to CHT and Paradigm
    • Introduction:basic features of thermal analysis
    • Structuringthe analysis approach and example application
    • Emergence of CHT as a general purpose tool and CHT as a community

  • Formulation of the basic equations of heat transfer
    • General conservation equation and conserved quantities
    • Energy conservation equation
    • Fluxterms, volume source terms
    • Final simplified equation with application example

  • Decoupling systems and deriving boundary conditions
    • Fundamentals of boundary conditions
    • Types of boundary conditions
    • Temperature and heat flux boundary conditions
    • Control of temperature at heat flux boundaries
    • Applicability of the Robin boundary condition

  • Discretization, physical and mathematical and presentation of the governing equations
    • Motivation for discretization, flux laws and control volume connectivity
    • Parallel: physical-spatial discretization and mathematical discretization
    • Strategic discretization and refinement and application of Cartesian based discretization

  • Computationalsolutions to the discrete equation, showcase of solution methods
    • Direct solutions to the vectorized conservation equation and limitations of direct methods
    • Transient solution methods
    • Explicit and implicit differencing with stability analysis
    • Development of general time differencing schemes and basic relaxation methods
    • Survey and application of semi-direct inversion methods, ADI, and conjugate gradien tmethods

  • Validation of computational models and solutions
    • Numerical consistency analysis and bench marking
    • Showcase exact solutions with comparisons to numerical schemes
    • Energy survey methods for validation, qualitative and quantitative energy surveys

  • Specialtopics in CHT (Sample of topics as follows)
    • Advection and flow flow loops
    • Radiation heat transfer
    • Phase change heat transfer
    • Hyperbolic heat conduction
    • Thermostat modeling
    • CHT in hypersonic flow

Course Materials

Since course notes will not be distributed onsite, AIAA and your course instructor are highly recommending that you bring your computer with the course notes already downloaded to the course. Once you have registered for the course, these course notes are available about two weeks prior to the course event, and are available to you in perpetuity.



Dean Schrange

Leading the CHT course is Dean Schrage.  Dean Schrage received his B.S. and M.S. degrees in mechanical engineering from University of Wisconsin -Milwaukee and his Ph.D. degree in mechanical and aerospace engineering from Case Western Reserve University.  Dr. Schrage has worked exclusively in applied research and development in the field of thermal and fluid management - a combined experience totaling 25 years.  He holds 3 U.S. patents and has authored numerous journal and conference papers.  Dr. Schrage is actively immersed in development of commercial-grade simulation software and the application of these codes to practical industrial problems.  Such software includes general purpose CFD and CHT codes (Hyperion-TFS), hybrid rapid solver technology (Hyperion-GCG) and specialized meshing and OpenGL geometry manipulation tools (Hyperion-Mesh3D and Hyperion-CADRazor).


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