This paper deals with the melting effect on steady mixed convection flow of a non-Newtonian fluid containing gyrotatic microorganism along a vertical plate embedded in a saturated non-Darcy porous medium. Variable fluid properties are considered in this paper to describe the variation of permeability, porosity, thermal conductivity which is approximated by an exponential function. The changed non-dimensional governing ordinary differential equations via similarity transformation characterize the flow phenomena subjected to melting surface boundary condition are solved numerically by Matlab bvp4c solver. To analyze the consequences of flow influencing parameters to the flow variables are tabulated and visualized graphically. With increasing non-Darcy and mixed convection parameters velocity profiles decays. Temperature escalates for mixed convection parameter and plunges for melting parameter. Concentration slow down for high melting effect and rises for high Lewis number. Bioconvection Lewis number and Peclet number has an increasing impact on the microorganism profiles. Mixed convection parameters show pronouncing impact on Sherwood number, Nusselt number and motile microorganism density profiles but they decrease mostly for pseudo plastic fluid. Comparisons with prior works show splendid agreement between the results.

本文研究了非旋转性含牛顿流体的非牛顿流体沿饱和非达西多孔介质中埋置的垂直板对稳定混合对流的熔化效应。本文考虑了可变流体特性，以描述渗透率，孔隙率，热导率的变化，该变化可以通过指数函数来近似。用Matlab bvp4c求解器，通过相似变换改变了无量纲控制的常微分方程，通过相似变换表征了受熔融表面边界条件影响的流动现象。为了分析流量影响参数对流量变量的影响，将其制成表格并以图形方式显示。随着非达西和混合对流参数的增加，速度分布会衰减。对于混合对流参数，温度升高，对于熔融参数，温度下降。浓度降低以实现高熔融效果，浓度升高以提高路易斯数。生物对流Lewis数和Peclet数对微生物谱的影响越来越大。混合对流参数显示出对舍伍德数，努塞尔特数和能动微生物密度分布的明显影响，但对于伪塑性流体，它们主要降低。与先前作品的比较显示出结果之间的出色一致性。Nusselt数和运动微生物密度分布图，但对于假塑性流体，它们大多降低。与先前作品的比较显示出结果之间的出色一致性。Nusselt数和运动微生物密度分布图，但对于假塑性流体，它们大多降低。与先前作品的比较显示出结果之间的出色一致性。