Annular Newtonian Poiseuille flow with pressure-dependent wall slip

IF 2.5 3区 工程技术 Q2 MECHANICS
Kostas D. Housiadas , Evgenios Gryparis , Georgios C. Georgiou
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引用次数: 0

Abstract

We investigate the effect of pressure-dependent wall slip on the steady Newtonian annular Poiseuille flow employing Navier’s slip law with a slip parameter that varies exponentially with pressure. The dimensionless governing equations and accompanying auxiliary conditions are solved analytically up to second order by implementing a regular perturbation scheme in terms of the small dimensionless pressure-dependence slip parameter. An explicit formula for the average pressure drop, required to maintain a constant volumetric flowrate, is also derived. This is suitably post-processed by applying a convergence acceleration technique to increase the accuracy of the original perturbation series. The effects of pressure-dependent wall slip are more pronounced when wall slip is weak. However, as the slip coefficient increases, these effects are moderated and eventually eliminated as the perfect slip case is approached. The results show that the average pressure drop remains practically constant until the Reynolds number becomes sufficiently large. It is worth noting that all phenomena associated with pressure-dependent wall slip are amplified as the annular gap is reduced.
随压力变化的壁面滑移的环状牛顿泊伊流
我们采用纳维尔滑移定律,利用随压力呈指数变化的滑移参数,研究了随压力变化的壁面滑移对稳定的牛顿环形波瓦耶流的影响。通过实施一种以小的无量纲压力相关滑移参数为条件的规则扰动方案,对无量纲控制方程和伴随的辅助条件进行二阶解析求解。此外,还得出了保持恒定容积流量所需的平均压降的明确公式。通过采用收敛加速技术对其进行适当的后处理,以提高原始扰动序列的精度。当壁面滑移较弱时,与压力相关的壁面滑移的影响更为明显。然而,随着滑移系数的增大,这些影响逐渐减弱,并在接近完美滑移情况时最终消除。结果表明,在雷诺数足够大之前,平均压降实际上保持不变。值得注意的是,所有与压力相关的壁面滑移现象都会随着环形间隙的减小而放大。
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来源期刊
CiteScore
5.90
自引率
3.80%
发文量
127
审稿时长
58 days
期刊介绍: The European Journal of Mechanics - B/Fluids publishes papers in all fields of fluid mechanics. Although investigations in well-established areas are within the scope of the journal, recent developments and innovative ideas are particularly welcome. Theoretical, computational and experimental papers are equally welcome. Mathematical methods, be they deterministic or stochastic, analytical or numerical, will be accepted provided they serve to clarify some identifiable problems in fluid mechanics, and provided the significance of results is explained. Similarly, experimental papers must add physical insight in to the understanding of fluid mechanics.
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