The analysis is carried out to analyze the flow through double stretchable rotating disks with the theory of radiative Cross nanofluid under the influence of variable thermal conductivity, the Hall current, Arrhenius activation energy, and binary chemical reactions. The Buongiorno nanofluid model is adopted for the governing equations of the problem which are transformed into ordinary differential equations through similarity transformations and then solved using the homotopy analysis method. The impact of dimensionless parameters on all profiles and physical quantities is presented and discussed. The radial velocity of the two disks increases with their corresponding ratio stretching rate parameter and decreases with the Hall parameter and the bioconvection Rayleigh number. The heat transfer at the lower disk enhances with the variable thermal conductivity parameter, while at the upper disk, opposite trend is observed. Mass transfer increases with the chemical reactions and temperature difference parameters at the lower disk and decreases with Arrhenius activation energy, whereas an opposite trend is observed at the upper disk. The local density number is enhanced for the larger values of Peclet and Lewis numbers. The comparison of the present work with the published literature authenticates the validation of the present work.

在可变热导率，霍尔电流，Arrhenius活化能和二元化学反应的影响下，采用辐射交叉纳米流体理论对通过双伸缩旋转盘的流动进行了分析。问题的控制方程采用Buongiorno纳米流体模型，通过相似变换将其转换为常微分方程，然后使用同伦分析方法进行求解。提出并讨论了无量纲参数对所有轮廓和物理量的影响。两个圆盘的径向速度随其相应的比率拉伸速率参数而增加，而随霍尔参数和生物对流瑞利数而减小。下盘处的热传递随着可变的热导率参数而增强，而在上盘处，观察到相反的趋势。传质随着下盘的化学反应和温度差参数的增加而增加，并随着阿累尼乌斯活化能的降低而降低，而在上盘则观察到相反的趋势。对于较大的Peclet和Lewis值，可以提高局部密度值。本工作与已发表文献的比较证实了本工作的有效性。对于更大的Peclet和Lewis值，可以提高局部密度值。本工作与已发表文献的比较证实了本工作的有效性。对于更大的Peclet和Lewis值，可以提高局部密度值。本工作与已发表文献的比较证实了本工作的有效性。