Daft heat transfer nomenclature question

[tgrimley]

Heres's my question: is the "diffusion" part of convection (which I understand to be advection + diffusion) equivalent to simple conduction? This is of course assuming an incompressible fluid such that no natural convection is possible.

I hope this is clear and to the point enough, but please ask if it needs clarification.

 

[Mapes]

Yes; in the context of heat transfer, "conduction" is equivalent to thermal energy diffusion.

 

[jaap de vries]

Well there is also molecular diffusion (say a flame) superimposed on the heat diffusion whenever the medium is non homogeneous.
To be quite honest I don't really understand your question.