The rheology of Burgers nanofluid flow over a stretching cylinder with convective transport of thermal and solutal energy is studied in the present article. The relaxation and retardation properties of viscoelastic fluid are examined for flow field and energy distribution. Moreover, the thermophoretic and Brownian forces are also incorporated in the phenomena of thermal and solutal energy distribution. The thermal conductivity of the fluid is taken as temperature dependent. The homotopy analysis method (HAM) is adopted to solve the governing ordinary differential equations (ODEs). The impact of physical parameters on the flow field and energy transport is depicted using graphs. The outcomes proved that both thermophoretic and Brownian forces significantly boosted the temperature field but in the case of concentration field these show conflicting behaviour. The Burgers parameter of viscoelastic fluid enhances the thermal and solutal conduction in the fluid and decreases the fluid velocity. Moreover, due to the increase in temperature-dependent thermal conductivity, the transport of energy increases. The outcomes of this study are validated by comparing numerical data with some previous studies.

本文研究了Burgers纳米流体流经拉伸圆柱体的流变学，并通过对流传递了热能和溶能。检查了粘弹性流体的松弛和延迟特性的流场和能量分布。此外，热泳和布朗力也被纳入热能和溶能分布现象中。流体的热导率被视为与温度有关。采用同伦分析方法（HAM）求解控制常微分方程（ODE）。使用图形描述了物理参数对流场和能量传输的影响。结果证明，热泳和布朗力都显着提高了温度场，但在集中场的情况下，它们表现出相互矛盾的行为。粘弹性流体的Burgers参数增强了流体中的热传导和溶质传导，并降低了流体速度。此外，由于依赖于温度的热导率的增加，能量的传输增加。通过将数值数据与一些先前的研究进行比较，可以验证该研究的结果。