The steady two-dimensional, laminar, viscous, incompressible boundary layer flow of Cu/Ag-H₂O nanofluid in a diverging channel formed by two non-parallel walls in a Darcian porous medium is numerically studied in the presence of mass suction/injection of equal magnitude on both the walls. Here, divergent flow is generated by a line source of fluid volume at the intersection of channel walls. Using similarity transformations, the non-linear governing PDEs are transformed into self-similar coupled non-linear ODEs and they are solved numerically with the help of MATLAB-built solver “bvp4c”. The conditions for the existence of boundary layer flow structure for nanofluid through divergent channel in porous medium are obtained. The analysis reveals that when the permeability parameter \(K\) and nanofluid-volume-fraction-related parameter \(\phi_{1}\) are chosen in a specific manner such that they satisfy the condition \(K > 2\phi_{1}\) then boundary layer flow exists, preventing separation for any mass suction/injection or even in the absence of mass suction/injection. A similar velocity field rises with permeability parameter, which exhibits opposite behavior with nanoparticle volume fraction. Also temperature increases with nanoparticle volume fraction, permeability parameter, and Eckert number, and decreases with power-law exponent (related to variable wall temperature). Skin-friction coefficient and heat transfer rate for Cu-water nanofluid are stronger when compared with Ag-water nanofluid.

在存在质量吸引/注入的情况下，对由两个不平行的壁形成的分流通道中的Cu / Ag-H ₂ O纳米流体的二维，层状，粘性，不可压缩的稳定二维边界层流进行了数值研究。在两个墙壁上大小相等。在此，在通道壁的相交处由流体体积的线源产生发散流。使用相似变换，将非线性控制的PDE转换为自相似耦合的非线性ODE，并借助MATLAB构建的求解器“ bvp4c”对它们进行数值求解。给出了纳米流体在多孔介质中通过发散通道存在边界层流动结构的条件。分析表明，当渗透率参数\（K \）并以特定方式选择与纳米流体体积分数相关的参数\（\ phi_ {1} \），使其满足条件\（K> 2 \ phi_ {1} \），然后存在边界层流动，从而防止分离适用于任何质量的抽吸/进样，甚至在没有质量抽吸/进样的情况下。相似的速度场随渗透率参数升高，与纳米粒子体积分数表现出相反的行为。同样，温度随着纳米颗粒的体积分数，渗透性参数和Eckert数的增加而增加，并随幂律指数的降低而下降（与壁温可变有关）。与Ag水纳米流体相比，Cu水纳米流体的皮肤摩擦系数和传热速率更强。