Consider the composite wall shown in Figure P5.22 exhibiting an interfacial resistance due to the roughness of the interface. Derive the steady-state temperature distributions in both walls and based on the flux of heat obtained, define local heat transfer coefficients based on the driving force within a given medium, and an overall heat transfer coefficient based on the overall driving force. Comment on the relationship between local coefficients for the heat and mass transfer cases, and overall coefficients for the heat and mass transfer cases.

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FIGURE P5.22 Tyo z=L ky Tyi z=0 Txi kx z=-L Txo Interfacial Resistance Tyi = mTxi