We explore the physical influence of magnetic field on double-diffusive convection in complex biomimetic (peristaltic) propulsion of nanofluid through a two-dimensional divergent channel. Additionally, porosity effects along with rheological properties of the fluid are also retained in the analysis. The mathematical model is developed by equations of continuity, momentum, energy, and mass concentration. First, scaling analysis is introduced to simplify the rheological equations in the wave frame of reference and then get the final form of equations after applying the low Reynolds number and lubrication approach. The obtained equations are solved analytically by using integration method. Physical interpretation of velocity, pressure gradient, pumping phenomena, trapping phenomena, heat, and mass transfer mechanisms are discussed in detail under magnetic and porous environment. The magnitude of velocity profile is reduced by increasing Grashof parameter. The bolus circulations disappeared from trapping phenomena for larger strength of magnetic and porosity medium. The magnitude of temperature profile and mass concentration are increasing by enhancing the Brownian motion parameter. This study can be productive in manufacturing non-uniform and divergent shapes of micro-lab-chip devices for thermal engineering, industrial, and medical technologies.

我们通过二维发散通道探索了磁场对纳米流体复杂仿生（蠕动）推进中双扩散对流的物理影响。此外，分析中还保留了孔隙度效应以及流体的流变特性。数学模型由连续性、动量、能量和质量浓度的方程式发展而来。首先，引入标度分析来简化波参考系中的流变方程，然后在应用低雷诺数和润滑方法后得到方程的最终形式。得到的方程用积分法解析求解。速度、压力梯度、泵送现象、捕获现象、热量的物理解释，在磁性和多孔环境下详细讨论了传质机制。通过增加 Grashof 参数减小速度剖面的幅度。对于较大强度的磁性和孔隙率介质，团块循环从捕获现象中消失。通过增强布朗运动参数，温度分布和质量浓度的大小正在增加。这项研究可以有效地制造用于热工程、工业和医疗技术的微型实验室芯片设备的不均匀和不同形状。通过增强布朗运动参数，温度分布和质量浓度的大小正在增加。这项研究可以有效地制造用于热工程、工业和医疗技术的微型实验室芯片设备的不均匀和不同形状。通过增强布朗运动参数，温度分布和质量浓度的大小正在增加。这项研究可以有效地制造用于热工程、工业和医疗技术的微型实验室芯片设备的不均匀和不同形状。