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.

为了进一步描述粘弹性纳米流体的传热和传质过程，比焓涉及Cattaneo-Christov热通量模型。在这项研究中分析了聚丙烯酰胺纳米流体在多孔介质中的传热和传质行为。可以得出结论，根据流变实验，当温度从298 K变为358 K时，粘度从3.7204 Pa∙s降低至1.5315 Pa∙s，热导率从0.5659 W∙m ^-1 ∙K ^-1降低。至0.1121 W∙m ^-1 ∙K ^-1根据热导率实验。分别验证了温度与粘度之间的非线性关系以及温度与导热系数之间的线性关系。利用逆相似框架，结合解析方法，获得了偏微分控制方程的解析近似解。揭示了一些新现象。空间拉伸速率对片材和自由表面的速度具有相反的影响。此外，由于在无限远处比焓的增长，提高了传热效率和浓度扩散率。