In this research communication, mathematical model is developed to scrutinize the two-dimensional magnetohydrodynamic boundary layer flow of non-Newtonian nanofluid (second grade) towards a permeable and stretchable Riga plate surface. To examined the thermal and solutal relaxation characteristics the proposed model of Cattaneo-Christov Double Diffusions (CCDD) model is supposed. Furthermore, variable thermal conductivity and variable mass diffusivity are accounted. In addition, the convective condition of heat transfer is involved. The concept of entropy generation is also highlighted. Formulation also consists of thermal radiation, mixed convection and thermophoresis. The resulting problems are computed by modern approach known as (OHAM) Optimal homotopy analysis method. OHAM is a powerful method to used for the series solution of highly non-linear equations in comparison to other analytical and numerical methods. Total square residual error is computed. Velocity distribution enhances for second grade fluid parameter but reverse trend is seen for larger estimation of inverse Darcy number. Temperature profile increases for larger estimation of thermal relaxation parameter and characterize temperature (${\varepsilon }_1$). Nanoparticles concentration decays for boost values of solutal relaxation parameter and characterize concentration (${\varepsilon }_2$). Physical arguments for important parameters of interest are organized.

在本研究通讯中，开发了数学模型以研究非牛顿纳米流体（二级）向可渗透且可拉伸的里加板表面的二维磁流体动力学边界层流动。为了研究热松弛松弛特性和热松弛松弛特性，提出了Cattaneo-Christov双重扩散（CCDD）模型。此外，考虑了可变的热导率和可变的质量扩散率。另外，涉及传热的对流条件。熵产生的概念也被强调。配方还包括热辐射，混合对流和热泳。由此产生的问题通过称为（OHAM）最佳同伦分析方法的现代方法进行计算。与其他分析和数值方法相比，OHAM是一种用于求解高度非线性方程组的强大方法。计算总平方残差。二级流体参数的速度分布增强，但是对于逆达西数的更大估计，则可以看到逆向趋势。温度分布会增加，以便更大程度地估算热弛豫参数并表征温度（${\varepsilon }_{\mathrm{1个}}$）。纳米颗粒的浓度随溶液弛豫参数的增加而衰减，并表征浓度（${\varepsilon }_2$）。对重要的重要参数进行了物理论证。