The double diffusion heat transfer phenomenon for the unsteady viscous fluid has been focused subject to the non-Fourier relations. The thermal radiation impact along the inclined direction has also been utilized. The non-Fourier analysis for the heating phenomenon is performed using the Cattaneo–Christov and Fick’s mathematical models. The transformed systems due to similarity variables are analytically predicted via HAM scheme and also with the assistance of BVP4C solver. The convergence of the method to justify a solution is also observed. Also, the effect of involved physical parameters on the given model is explained through graphs and tables. The observations are compared with the available literature with a fine agreement. The numerical representation and quantitative analysis for drag force, heat transfer and mass transfer rates are worked out.

非稳态粘性流体的双扩散传热现象一直受到非傅立叶关系的关注。还利用了沿倾斜方向的热辐射影响。使用 Cattaneo–Christov 和 Fick 的数学模型对加热现象进行非傅里叶分析。通过 HAM 方案并在 BVP4C 求解器的帮助下分析预测由于相似性变量引起的变换系统。还观察到证明解决方案合理的方法的收敛性。此外，还通过图表解释了所涉及的物理参数对给定模型的影响。将观察结果与现有文献进行比较，结果非常吻合。阻力的数值表示和定量分析，