This research presents the bioconvection flow of third grade nanofluid confined by a stretched cylinder in presence of thermal radiation, heat absorption/generation phenomenon, activation energy and exponential space-based heat source. The famous Buongiorno nanofluid is used applications to access the Brownian motion and thermophoresis effects. The problem is formulated in terms of partial differential equations by using the fundamental laws. The dimensionless form of problem is obtained equations by using suitable transformation. Later on, the numerical outcomes for the couple of discretized system are obtained by employing the powerful numerical shooting algorithm. Since this investigation is based on some theoretical flow assumptions, therefore each physical parameter specified some constant range like $0.1\le {\beta }_1\le 1.2,$$0.4\le {\beta }_2\le 1.2,$$0.1\le {\beta }_3\le 1.2,$ $0.2\le Re\le 0.8,$ $0.1\le \lambda \le 1.4,$ $0.1\le M\le 1.2,$ $0.1\le Nr\le 1.2,$ $0.1\le Nc\le 1.3,$ $0.0\le Rd\le 0.8,$ $2.0\le Pr\le 5.0,$ $0.1\le Nb\le 0.25,$ $0.1\le Nt\le 0.4,$$1.5\le {\theta }_w\le 1.8,$ $1.2\le Le\le 2.4,$ $0.1\le E\le 0.4,$ $1.2\le Lb\le 2.4,$ $0.1\le Pe\le 1.2,$ $0.1\le {\delta }_1\le 0.6,$ $0.1\le {\lambda }_1\le 0.4,$. $0.1\le {\lambda }_2\le 0.4,$ $0.2\le {\lambda }_3\le 0.5.$ The physical significance of prominent parameters versus subjective flow profiles are graphically underlined with physical justifications. It is observed that presence of exponential space-based heat source and heat source parameter is more useful to improve the nanofluid temperature. An increment in nanofluid concentration is observed with solutal Biot number and activation energy parameter. Moreover, the microorganisms profile decline with bioconvection Lewis number while reverse trend is observed for microorganism stratification Biot number.

这项研究提出了在热辐射，热吸收/产生现象，活化能和指数型天基热源存在的情况下，由拉伸圆柱体约束的第三级纳米流体的生物对流。著名的Buongiorno纳米流体可用于应用布朗运动和热泳效应。通过使用基本定律，根据偏微分方程来表达该问题。问题的无量纲形式通过使用适当的变换获得方程式。后来，通过使用功能强大的数值拍摄算法，获得了离散系统对的数值结果。由于此研究基于一些理论流量假设，因此每个物理参数都指定了一些恒定范围，例如$0.1\le {\beta }_{\mathrm{1个}}\le 1.2，$$0.4\le {\beta }_{\mathrm{2个}}\le 1.2，$$0.1\le {\beta }_3\le 1.2，$ $0.2\le \mathrm{[R}Ë\le 0.8，$ $0.1\le \lambda \le 1.4，$ $0.1\le \mathrm{中号}\le 1.2，$ $0.1\le ñ\mathrm{[R}\le 1.2，$ $0.1\le ñC\le 1.3，$ $0.0\le \mathrm{[R}d\le 0.8，$ $2.0\le P\mathrm{[R}\le 5.0，$ $0.1\le ñb\le 0.25，$ $0.1\le ñŤ\le 0.4，$$1.5\le {\theta }_w\le 1.8，$ $1.2\le \mathrm{大号}Ë\le 2.4，$ $0.1\le E\le 0.4，$ $1.2\le \mathrm{大号}b\le 2.4，$ $0.1\le PË\le 1.2，$ $0.1\le {\delta }_{\mathrm{1个}}\le 0.6，$ $0.1\le {\lambda }_{\mathrm{1个}}\le 0.4，$。 $0.1\le {\lambda }_{\mathrm{2个}}\le 0.4，$ $0.2\le {\lambda }_3\le 0.5。$突出显示的参数相对于主观流量剖面的物理意义在图形上用物理证明来强调。观察到，存在基于指数的基于空间的热源和热源参数对于改善纳米流体温度更有用。纳米流体浓度随溶液的比奥特数和活化能参数而增加。此外，微生物特征随生物对流路易斯数而下降，而对于微生物分层的毕奥数却观察到相反的趋势。