Surface dynamics on Jeffrey nanofluid flow with Coriolis effect and variable Darcy regime

IF 2.3 4区 工程技术 Q1 MATHEMATICS, APPLIED
Yusuf O. Tijani, Mojeed T. Akolade, Olumuyiwa Otegbeye, Abdulhakeem Yusuf
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Abstract

Abstract Stretching and shrinking application ranges from aerodynamic extrusion of plastic sheets, biological implants, condensation of metallic plates to the design of musical instruments. To emphasize the need for proper fluid flow in the mammalian system, the phenomenon of stretching or shrinking suppresses muscle strains and cramps, and also prevents stroke and heart disease. For further insight into the dynamics of blood with Prandtl number of 21.0 in a rotating system, the present study theoretically investigates the flow of a Jeffrey fluid induced with gold nanoparticles over a rotating sheet. The homogenization of the gold nanoparticle with the base fluid is due to the Tiwari‐Das approach. To investigate the flow profiles and dynamics of the sheet, the spectral local linearization method (SLLM) is used to obtain approximate solutions to the resulting system of nonlinear differential equations. The results obtained using the SLLM are validated by taking the limiting case and comparing against published literature results. The obtained results suggest that the velocity of the nanofluid and the heat transfer rate on the stretching and shrinking sheets exhibit an opposing behaviour. A blood sample with gold nanoparticles is advised for a reduced skin friction effect in the stretching sheet but a more significant drag force in the shrinking sheet than in the base fluid. For a unit value of the rotating parameter, the skin drag force reduces by 36% for the primary skin drag force and 57% for the secondary skin drag force.
具有科里奥利效应和变达西机制的杰弗里纳米流体的表面动力学
拉伸和收缩的应用范围从塑料板材的气动挤压、生物植入物、金属板的冷凝到乐器的设计。为了强调哺乳动物系统需要适当的液体流动,伸展或收缩的现象可以抑制肌肉拉伤和痉挛,还可以预防中风和心脏病。为了进一步了解旋转系统中普朗特数为21.0的血液动力学,本研究从理论上研究了由金纳米颗粒诱导的杰弗里流体在旋转薄片上的流动。金纳米颗粒与基液的均质化是由于Tiwari - Das方法。为了研究薄板的流动剖面和动力学特性,采用谱局部线性化方法(SLLM)得到了非线性微分方程组的近似解。采用极限情况并与已发表的文献结果进行比较,验证了使用SLLM得到的结果。所得结果表明,纳米流体的速度和在拉伸和收缩薄片上的传热速率呈现相反的行为。含有金纳米颗粒的血液样本在拉伸薄片中会减少皮肤摩擦效应,但在收缩薄片中会比在基础液中产生更大的阻力。对于旋转参数的单位值,主要蒙皮阻力减少36%,次要蒙皮阻力减少57%。
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来源期刊
CiteScore
3.30
自引率
8.70%
发文量
199
审稿时长
3.0 months
期刊介绍: ZAMM is one of the oldest journals in the field of applied mathematics and mechanics and is read by scientists all over the world. The aim and scope of ZAMM is the publication of new results and review articles and information on applied mathematics (mainly numerical mathematics and various applications of analysis, in particular numerical aspects of differential and integral equations), on the entire field of theoretical and applied mechanics (solid mechanics, fluid mechanics, thermodynamics). ZAMM is also open to essential contributions on mathematics in industrial applications.
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