First, find the heat flow thru the concrete wall without the wooden insulation:
qc=RcΔT=LcΔTkcA.Then calculate the heat flow with the insulation installed (series connection of thermal resistances):
qcw=Rc+RwΔT=Lc/kc+Lw/kwΔTA.Finally, calculate the percentage reduction in the heat conducted per square meter by installing the wood panel:
ϵ=qcqc−qcw⋅100%=Lckw+LwkcLwkc⋅100%, ϵ=15⋅0.1+2⋅12⋅1⋅100%=57%.
Installation of wood will lead to a 57% reduction in heat loss.
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