Whar is the name of the process by which hrat energy is tranferred through the walls of the house ?

Conduction, convection, and radiation are the three ways energy is transferred. Look up each in your text/notes/dictionary and make your choice.

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Here is my answer to another similar post.

Since this is not my area of expertise, I searched Google under the key words "heat convection" to get these possible sources:

http://sol.sci.uop.edu/~jfalward/heattransfer/heattransfer.html
http://hyperphysics.phy-astr.gsu.edu/hbase/thermo/heatra.html
http://en.wikipedia.org/wiki/Heat_transfer
(Broken Link Removed)

I hope this helps. Thanks for asking.