This investigation deals with the study of heat transfer analysis of fractional Maxwell fluid in a vertical circular cylinder which is initially at rest. Semi-analytical elucidations for velocity as well as temperature fields have been established by using a hybrid technique which has less time cost and mathematical calculations as compared to other techniques existing in the literature. This problem is also solved exactly with the help of integral transform technique which involves Laplace along with finite Hankel transforms Exact solutions that satisfy all prescribed initial and boundary conditions have been particularized to get the similar solutions for Newtonian and ordinary Maxwell fluids. Impact of distinct physical parameters for example fractional parameter, Prandtl number, Grashof number on fluid function and heat transfer is illustrated through graphical and tabular discussion in the end. Moreover, the fractional Maxwell model helps us to choose the non-integer parame...

中文翻译：

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分数麦克斯韦模型在圆柱几何中的粘弹性流体传热分析。

这项研究涉及在垂直静止的圆柱体中麦克斯韦分馏液的传热分析研究。通过使用混合技术建立了速度和温度场的半解析解释，与文献中现有的其他技术相比，该技术具有较低的时间成本和数学计算能力。借助涉及拉普拉斯（Laplace）和有限汉克尔变换的积分变换技术，该问题也得到了精确解决，特别提出了满足所有规定初始条件和边界条件的精确解，以得到牛顿流体和普通麦克斯韦流体的相似解。不同物理参数的影响，例如分数参数，普朗特数，最后通过图形和表格讨论说明了有关流体功能和传热的格拉索夫数。此外，分数麦克斯韦模型有助于我们选择非整数参数。