Advanced heat transfer
Graduate · Engineering
Syllabus focus
Standard syllabus · STEM / applied
Pricing
Graduate-level rates are set on consultation. See the pricing page for K–12 and undergraduate rates.
Topics typically covered
Standard syllabus
Analytical and numerical conduction
- Multidimensional steady conduction solutions
- Green's functions for heat conduction
- Method of separation of variables in transient problems
- Moving boundary phase change (Stefan problem intro)
- Hyperbolic heat conduction models (overview)
- Coupled thermoelastic stress (intro)
- Finite difference methods for conduction
- Finite volume discretization for heat equation
- Inverse heat conduction problems
- Thermal contact resistance and interface materials
Convection and radiation at advanced level
- Boundary layer heat transfer with dissipation
- Natural convection correlations and scaling
- Boiling curve and critical heat flux mechanisms
- Film condensation on vertical surfaces
- Heat transfer in porous media
- Participating media radiation: RTE intro
- Monte Carlo and discrete ordinates methods
- Combined conduction-convection-radiation in enclosures
- Nanoscale heat transfer and phonon transport survey
- Microchannel heat exchangers for electronics
STEM / applied
Multiphysics and energy systems
- Solidification in manufacturing processes
- Thermal management of batteries and power electronics
- Heat pipes and two-phase thermal devices
- Solar thermal system performance modeling
- Nuclear reactor heat removal fundamentals
- Cryogenic systems and insulation design
- Thermal energy storage materials and systems
- Conjugate heat transfer CFD coupling
- Experimental uncertainty analysis in HT labs
- Thesis-scale heat transfer modeling project
Research frontiers
- Metamaterials for thermal radiation control
- Laser-material interaction heat transfer
- Biothermal transport in hyperthermia treatment
- Data centers and cloud cooling infrastructure
- Climate system energy balance models
- Additive manufacturing thermal history simulation
- Machine learning for heat transfer correlation discovery
- International HT conference paper reading
- Peer review of HT journal articles
- Qualifying exam heat transfer preparation
Notes
Topics reflect common engineering syllabi at US colleges and universities. Exact order, depth, and applied emphasis vary by institution, department, and instructor.