An exploration of the state of mixed convection flow due to an isothermal vertical wedge submersed in saturated porous medium utilizing Buongiorno's nanofluid paradigm is the primary intention of our research. In this pioneering investigation, Buongiorno's nanofluid model that encompasses the effects of both Brownian motion and thermophoresis is employed. The paradigm regards the case in which the nanofluid particle fraction on the boundary layer is passively rather than actively controlled. The wall of the wedge is submersed in a uniform porous medium, and the convective boundary condition has been employed over the wedge wall. Upon the Oberbeck-Boussinesq approximation and non-similarity transformation, the nonlinear set equations are obtained and tackled numerically by using the R.K. Gill and shooting method. A parametric study of the entire flow regime is procured to clarify the effects of the controlled parameters such as: wedge angle parameter M (0 ≤ M ≤ 1), buoyancy ratio parameter Nr (-1 ≤ Nr ≤ 1), mixed convection parameter ε, (0 ≤ ε ≤ 1), Biot number Bi (0.1 ≤ Bi ≤ ∞), Brownian motion parameter Nb (0.4 ≤ Nb ≤ 1.2), thermophoresis parameter Nt (0.1 ≤ Nt ≤ 1), and Lewis number Le (1 ≤ Le ≤ 10); the results are likened with the available data in the open literature and detected to be in very good harmony. The prominent features of the achieved outcome have been construed and depicted.

中文翻译：

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具有对流边界条件的垂直多孔楔上混合对流的BUONGIORNO纳米流模型。

利用Buongiorno的纳米流体范式探索由于等温垂直楔形体浸没在饱和多孔介质中而引起的混合对流流动状态是我们研究的主要目的。在这项开创性的研究中，采用了涵盖了布朗运动和热泳效应的Buongiorno纳米流体模型。该范式涉及边界层上的纳米流体颗粒部分是被动控制而不是主动控制的情况。楔形壁浸没在均匀的多孔介质中，并且对流边界条件已在楔形壁上使用。通过Oberbeck-Boussinesq逼近和非相似变换，获得了非线性集合方程，并使用RK Gill和射击方法进行了数值求解。中号（0≤中号≤1），浮力比参数NR（-1≤ N T个≤1），混合对流参数ε，（0≤ ε ≤1），毕奥数铋（0.1≤毕≤∞），参数布朗运动的Nb（0.4≤铌≤1.2），热泳参数Nt个（0.1≤ Nt个≤1），和路易斯数勒（1≤勒≤10）; 结果与公开文献中的可用数据相提并论，并被发现具有很好的一致性。已实现结果的突出特征已得到解释和描绘。