Abstract This study is focused to elaborate on the effect of heat source/sink on the flow of non-Newtonian Burger nanofluid toward the stretching sheet and cylinder. The current flow analysis is designed in the form of higher order nonlinear partial differential equations along with convective heat and zero mass flux conditions. Suitable similarity transformations are used for the conversion of higher order nonlinear partial differential equations into the nonlinear ordinary differential equations. For the computation of graphical and tabular results, the most powerful analytical technique, known as the homotopy analysis method, is applied to the resulting higher order nonlinear ordinary differential equations. The consequence of distinct flow parameters on the Burger nanofluid velocity, temperature, and concentration profiles are determined and debated in a graphical form. The key outcomes of this study are that the Burger nanofluid parameter and Deborah number have reduced the velocity of the Burger nanofluid for both the stretching sheet and cylinder. Also, it is attained that the Burger nanofluid temperature is elevated with the intensifying of thermal Biot number for both stretching sheet and cylinder. The Burger nanofluid concentration becomes higher with the escalating values of Brownian motion parameter and Lewis number for both stretching sheet and cylinder. The Nusselt number of the Burger nanofluid upsurges due to the increment of thermal Biot number for both stretching sheet and cylinder. Also, the different industrial and engineering applications of this study were obtained. The presented model can be used for a variety of industrial and engineering applications such as biotechnology, electrical engineering, cooling of devices, nuclear reactors, mechanical engineering, pharmaceutical science, bioscience, medicine, cancer treatment, industrial-grid engines, automobiles, and many others.

中文翻译：

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Burgers纳米流体在热对流和零质量通量条件下在拉伸圆柱体上流动的热传输现象的同伦模拟

摘要 本研究重点阐述了热源/汇对非牛顿伯格纳米流体流向拉伸片和圆柱体的影响。电流分析设计为高阶非线性偏微分方程以及对流热和零质量通量条件。合适的相似变换用于将高阶非线性偏微分方程转换为非线性常微分方程。对于图形和表格结果的计算，最强大的分析技术，称为同伦分析方法，被应用于得到的高阶非线性常微分方程。不同流动参数对 Burger 纳米流体速度、温度、和浓度配置文件以图形形式确定和辩论。本研究的主要成果是 Burger 纳米流体参数和 Deborah 数降低了 Burger 纳米流体在拉伸片和圆柱体中的速度。此外，Burger 纳米流体的温度随着拉伸片材和圆柱体的热比奥数的增加而升高。Burger 纳米流体浓度随着拉伸片和圆柱体的布朗运动参数和路易斯数值的增加而变得更高。Burger 纳米流体的 Nusselt 数由于拉伸片和圆柱体的热 Biot 数的增加而激增。此外，还获得了本研究的不同工业和工程应用。