| Summary: | In order to further describe heat and mass transfer process of viscoelastic nanofluid, the specific enthalpy is involved in Cattaneo-Christov heat flux model. The heat and mass transfer behaviors of the polyacrylamide nanofluid in a porous medium are analysed in this study. It can be concluded that when the temperature changes from 298 K to 358 K, the viscosity decreases from 3.7204 Pa∙s to 1.5315 Pa∙s according to rheological experiment, and the thermal conductivity reduces from 0.5659 W∙m−1∙K−1 to 0.1121 W∙m−1∙K−1 according to thermal conductivity experiment. The non-linear relationship between temperature and viscosity, and the linear relationship between temperature and thermal conductivity are verified respectively. Using the inverse similarity framework, along with the analytical method, the analytical approximate solutions of the partial differential governing equations are obtained. Some new phenomena are revealed. The space stretching rate has an opposite effect on the velocities of the sheet and the free surface. Furthermore, due to the growth of specific enthalpy at infinity, the heat transfer efficiency and the concentration diffusion rate are enhanced.
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