In this work, the microscopic and macroscopic models of the porous composite system are established to study the stress jump coefficient, the interstitial heat transfer coefficient and the interface heat transfer coefficient under the local thermal non-equilibrium condition. The influences of the free fluid layer thickness, the flow types (including the Poiseuille flow, the Couette flow and the free boundary flow), the porosity and the pore diameter on the stress jump coefficient, the Biot number and the interface Biot number are discussed. In addition, an innovative method is presented to calculate the interstitial heat transfer coefficient inside the porous medium when the phenomenon of heat flux bifurcation occurs. (c) 2017 Elsevier Ltd. All rights reserved.