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Heat Transfer

Conduction, convection and radiation are three different physical mechanisms that all end up as a W/m² — and picking the wrong one is the most expensive mistake in the subject. These topics animate the mechanism before the correlation.

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The three modes

Three mechanisms, three laws, one unit.

  • Fourier's law and thermal conductivity
  • Newton's law of cooling
  • Stefan-Boltzmann law
  • The general heat conduction equation

Conduction

Energy moving through a material that stays where it is.

  • Steady conduction through slabs, cylinders and spheres
  • Thermal resistance networks
  • Critical radius of insulation
  • Fins and fin efficiency
  • Transient conduction and the lumped capacitance model

Convection

Energy carried away by fluid that is itself moving.

  • Thermal boundary layer
  • Dimensionless numbers: Re, Pr, Nu, Gr
  • Forced convection over plates and in tubes
  • Natural convection
  • Boiling and condensation

Radiation

Energy crossing a vacuum, with no material involved at all.

  • Black body radiation and emissivity
  • Kirchhoff's law and grey surfaces
  • Shape factors
  • Radiation exchange between surfaces and shields

Heat exchangers

Where all three modes are put to work on purpose.

  • Parallel, counter and cross flow
  • LMTD method
  • Effectiveness-NTU method
  • Fouling and overall heat transfer coefficient
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