Thermal Instability in Nanoliquid Under Four Types of Magnetic-Field Modulation Within Hele-Shaw Cell

IF 2.8 4区工程技术 Q2 ENGINEERING, MECHANICAL

Journal of Heat Transfer-transactions of The Asme Pub Date : 2023-02-06 DOI:10.1115/1.4056664

S. Rai, B. Bhadauria, Anish Kumar, B. Singh

{"title":"Thermal Instability in Nanoliquid Under Four Types of Magnetic-Field Modulation Within Hele-Shaw Cell","authors":"S. Rai, B. Bhadauria, Anish Kumar, B. Singh","doi":"10.1115/1.4056664","DOIUrl":null,"url":null,"abstract":"\n The influence of trigonometric cosine, square, sawtooth, and triangular wave types of magnetic-field modulation in nanoliquid within Hele-Shaw cell is studied in this paper utilizing linear/nonlinear explorations. The solvability condition to the third-order solution of the referred model equation has been imposed to get the cubic Ginzburg–Landau equation (GBL-equation) which is utilized to measure the rate of heat (or mass) transfer. In the sequel, the influence of the nondimensional parameters is discussed graphically in detail. It is demonstrated that Prandtl number (Pr)/magnetic Prandtl number (Prm)/Lewis-number (Le)/redefined diffusivity-ratio (NA)/concentration Rayleigh-number (RS1) and magnitude of the magnetic-modulation (δ) destabilize the system, that is, the heat/mass transfer increases. On the other hand, nanoliquid magnetic-number (Q), Hele–Shaw number (Hs), and modulating-frequency (ω) stabilize the system. The outcomes demonstrate that the magnetic-field modulation can be imposed significantly to increase or decrease the heat/mass transfer.","PeriodicalId":15937,"journal":{"name":"Journal of Heat Transfer-transactions of The Asme","volume":"55 17","pages":""},"PeriodicalIF":2.8000,"publicationDate":"2023-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Heat Transfer-transactions of The Asme","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1115/1.4056664","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}

引用次数: 4

Abstract

The influence of trigonometric cosine, square, sawtooth, and triangular wave types of magnetic-field modulation in nanoliquid within Hele-Shaw cell is studied in this paper utilizing linear/nonlinear explorations. The solvability condition to the third-order solution of the referred model equation has been imposed to get the cubic Ginzburg–Landau equation (GBL-equation) which is utilized to measure the rate of heat (or mass) transfer. In the sequel, the influence of the nondimensional parameters is discussed graphically in detail. It is demonstrated that Prandtl number (Pr)/magnetic Prandtl number (Prm)/Lewis-number (Le)/redefined diffusivity-ratio (NA)/concentration Rayleigh-number (RS1) and magnitude of the magnetic-modulation (δ) destabilize the system, that is, the heat/mass transfer increases. On the other hand, nanoliquid magnetic-number (Q), Hele–Shaw number (Hs), and modulating-frequency (ω) stabilize the system. The outcomes demonstrate that the magnetic-field modulation can be imposed significantly to increase or decrease the heat/mass transfer.

查看原文本刊更多论文

四种磁场调制下纳米液体的热不稳定性

本文利用线性/非线性方法研究了三角余弦波、方波、锯齿波和三角波对Hele-Shaw细胞内纳米液体磁场调制的影响。对所述模型方程的三阶解施加可解性条件，得到用于测量传热速率的三次金兹堡-朗道方程(gbl -方程)。其次，详细讨论了无量纲参数的影响。结果表明，普朗特数(Pr)/磁普朗特数(Prm)/路易斯数(Le)/重新定义扩散比(NA)/浓度瑞利数(RS1)和磁调制幅度(δ)使体系失稳，即传热传质增加。另一方面，纳米液体的磁数(Q)、Hele-Shaw数(Hs)和调制频率(ω)稳定了系统。结果表明，施加磁场调制可以显著地增加或减少传热传质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of Heat Transfer-transactions of The Asme 工程技术-工程：机械

自引率

0.00%

发文量

182

审稿时长

4.7 months

期刊介绍： Topical areas including, but not limited to: Biological heat and mass transfer; Combustion and reactive flows; Conduction; Electronic and photonic cooling; Evaporation, boiling, and condensation; Experimental techniques; Forced convection; Heat exchanger fundamentals; Heat transfer enhancement; Combined heat and mass transfer; Heat transfer in manufacturing; Jets, wakes, and impingement cooling; Melting and solidification; Microscale and nanoscale heat and mass transfer; Natural and mixed convection; Porous media; Radiative heat transfer; Thermal systems; Two-phase flow and heat transfer. Such topical areas may be seen in: Aerospace; The environment; Gas turbines; Biotechnology; Electronic and photonic processes and equipment; Energy systems, Fire and combustion, heat pipes, manufacturing and materials processing, low temperature and arctic region heat transfer; Refrigeration and air conditioning; Homeland security systems; Multi-phase processes; Microscale and nanoscale devices and processes.