Unsteady magneto-hydrodynamic double-diffusive convection flows between two infinite vertical parallel plates have been investigated in the presence of the inclined magnetic field, heat generation or absorption, and chemical reaction. The dimensionless form of governing equations for momentum, energy and concentration has been solved using the integral transforms (Laplace and finite sine-Fourier transforms). The exact solutions for the velocity, temperature and concentration are obtained without any constraints. Semi analytical solutions of these problems are also established by using the Laplace inversion numerical algorithms Stehfest’s and Tzou’s. Further, we compare our obtained analytical and numerical results in graphical and tabular forms. Finally, the influence of pertinent parameters on the fluid velocity, temperature and concentration have been disused in detailed through graphs.

在存在倾斜磁场，产生热量或吸收热量以及发生化学反应的情况下，已经研究了两个无限垂直平行板之间的非稳态磁流体动力双扩散对流。动量，能量和集中度的控制方程的无量纲形式已经使用积分变换（拉普拉斯变换和有限正弦-傅立叶变换）求解。可以不受任何限制地获得速度，温度和浓度的精确解。通过使用拉普拉斯反演数值算法Stehfest和Tzou，也可以建立这些问题的半解析解。此外，我们以图形和表格形式比较我们获得的分析和数值结果。最后，相关参数对流体速度的影响，