The temperature transfer matrix equations for threefluid separate type heat pipe heat exchangers with the same and different heat transfer area in each heat pipe row are obtained by establishing an analytical heat transfer model in the cocurrentor countercurrentflow mode. Using the temperature transfer matrix equations of exchanger with the each row heat transfer area is similar. The relationships of heat exchanger effectiveness θ1, θ2 with M, NTU, U, Δti are derived in the cocurrentor countercurrentflow mode. For the designing and checking calculation of the heat recovery device for the large hot blast stove in steel plant, the theoretical results can be used and it is proved correct in practical application.