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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Heat transfer analysis of viscoelastic fluid flow with fractional Maxwell model in the cylindrical geometry
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Heat transfer analysis of viscoelastic fluid flow with fractional Maxwell model in the cylindrical geometry

机译:圆柱形几何中分数麦克斯韦模型的粘弹性流体流动传热分析

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摘要

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 parameter alpha for the validation of results between theoretical and experimental findings.
机译:本文研究了处于静止状态的垂直圆柱中分数麦克斯韦流体的传热分析。与文献中现有的其他技术相比,使用混合技术建立了速度场和温度场的半解析解析解析,该技术具有较少的时间成本和数学计算。借助于积分变换技术(包括拉普拉斯变换和有限汉克尔变换),该问题也得到了精确的解决。对于牛顿流体和普通麦克斯韦流体,满足所有规定的初始和边界条件的精确解得到了类似的解。最后通过图形和表格讨论了分数参数、普朗特数、格拉肖夫数等不同物理参数对流体功能和传热的影响。此外,分数麦克斯韦模型有助于我们选择非整数参数α,以便在理论和实验结果之间验证结果。

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