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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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8 topics you can watch now, 14 still to come.

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.

  • Conduction through cylinders and spheres in full
  • Heisler charts and numerical methods

Convection

Energy carried away by fluid that is itself moving.

  • Forced convection correlations over plates and in tubes
  • Natural convection in enclosures

Radiation

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

  • Shape factor algebra
  • Radiation networks and the radiosity method
  • Gas and solar radiation

Heat exchangers

Where all three modes are put to work on purpose.

  • Shell-and-tube configuration and correction factors
  • Compact and plate exchangers
  • Regenerators and recuperators

About Heat Transfer

Thermodynamics tells you how much energy moves and in which direction. Heat transfer tells you how fast, which is usually the question an engineer actually has to answer. A design that works thermodynamically and takes a week to reach temperature has not worked.

Three modes carry all of it. Conduction moves heat through material by contact. Convection moves it by carrying fluid away, which is why this subject depends on fluid mechanics. Radiation needs no medium at all and dominates once things are hot enough.

The idea that ties the subject together is thermal resistance — treating a heat path like an electrical network of resistances in series and parallel. It converts a differential-equation problem into circuit arithmetic, and it is why fins, walls and exchangers can be analysed with the same method.

What to know first

  • Engineering Thermodynamics, at least the first law
  • Fluid Mechanics for the convection material

Where it gets used

  • Sizing a heat sink so a component stays within its rating
  • Understanding why insulation thickness has diminishing returns
  • Reading heat-exchanger performance and knowing what limits it
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