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Effect of variable liquid properties on peristaltic transport of Rabinowitsch liquid in convectively heated complaint porous channel

Rabinowitsch 液的可变性对其在多孔通道中对流加热蠕动的影响

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Abstract

The present paper emphasizes the peristaltic mechanism of Rabinowitsch liquid in a complaint porous channel under the influence of variable liquid properties and convective heat transfer. The effect of inclination on the complaint channel walls has been taken into account. The viscosity of the liquid varies across the thickness of the complaint channel, whereas, thermal conductivity varies concerning temperature. The nonlinear governing equations are solved by using perturbation technique under the long wavelength and small Reynold’s number approximations. The expressions for axial velocity, temperature, the coefficient of heat transfer and streamlines are obtained and analyzed graphically. The above said physiological phenomena are investigated for a specific set of relevant parameters on dilatant, Newtonian and pseudoplastic fluid models. The results presented here shows that the presence of variable viscosity, porous parameter and slip parameter significantly affects the flow quantities of dilatant, Newtonian and pseudoplastic fluid models. The investigation further reveals that an increase in the value of variable viscosity and porous parameters enhances the occurrence of trapping phenomenon. Moreover, the size of trapped bolus can be eliminated with suitably adjusting the angle of inclination parameter.

摘要

考虑液体性质的变化和对流换热的影响, 研究了Rabinowitsch 液在多孔通道中的蠕动机理。由 于倾斜对通道壁的影响, 液体的黏度沿通道厚度发生变化, 而导热系数则随着温度的变化而变化。在 长波长和小雷诺数近似的情况下, 利用摄动法求解非线性控制方程, 得到轴向速度、温度、热传递系 数和流线的表达式并进行了图解分析。运用膨胀、牛顿和假塑性流体模型对上述现象进行了研究。结 果表明, 可变黏度、多孔参数和滑移参数对膨胀、牛顿和假塑性流体模型的流体流量有很大的影响。 研究进一步揭示了由于可变黏度和多孔参数的增加而增强了俘获现象的发生。此外, 可以通过适当调 节倾斜角来调整所俘获的丸剂尺寸。

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Acknowledgement

The authors appreciate the constructive comments of the reviewers which led to definite improvement in the paper.

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Authors and Affiliations

  1. Department of Mathematics, SSA Government First Grade College (Autonomous), Ballari, Karnataka, 583101, India

    Hanumesh Vaidya

  2. Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, 576104, India

    Rajashekhar Choudhari & Manjunatha Gudekote

  3. Department of Mathematics, Vijayanagara Srikrishnadevaraya University, Ballari, Karnataka, 583105, India

    Kerehalli Vinayaka Prasad

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  1. Hanumesh Vaidya
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Correspondence to Manjunatha Gudekote.

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Vaidya, H., Choudhari, R., Gudekote, M. et al. Effect of variable liquid properties on peristaltic transport of Rabinowitsch liquid in convectively heated complaint porous channel. J. Cent. South Univ. 26, 1116–1132 (2019). https://doi.org/10.1007/s11771-019-4075-x

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