Abstract This research addresses the impact of peristaltic flow of the Herschel-Bulkley fluid in two-dimensional flexible compliant channel. The effects of heat and mass transfer are deliberated by taking a non-uniform channel. Moreover the inclined nature of the channel has been taken into account. Using low Reynold's number and long wavelength assumptions, the governing system of non-linear differential equations is solved using perturbation technique. Expressions for the series solution for the fluid temperature, concentration and velocity field along with heat transfer coefficient are computed. Influence of various pertinent parameters are presented and discussed through graphs. Moreover, thinning and thickening nature of Herschel-Bulkley fluid is also explained through the graphs.

中文翻译：

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Herschal-Bulkley 流体在倾斜柔顺通道中的应用

摘要 这项研究解决了 Herschel-Bulkley 流体在二维柔性顺应性通道中蠕动流动的影响。通过采用非均匀通道来考虑传热和传质的影响。此外，还考虑了通道的倾斜特性。使用低雷诺数和长波长假设，非线性微分方程的控制系统使用微扰技术求解。计算流体温度、浓度和速度场以及传热系数的级联解的表达式。通过图表展示和讨论了各种相关参数的影响。此外，Herschel-Bulkley 流体的稀化和稠化性质也通过图表进行了解释。