Mathematical analysis of non-Newtonian nanofluid transport phenomena past a truncated cone with Newtonian heating

IF 1.2 Q3 ENGINEERING, MARINE
Nagendra Nallagundla, Ch. Amanulla, M. Reddy
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引用次数: 12

Abstract

In the present study, we analyze the heat, momentum and mass (species) transfer in external boundary layer flow of Casson nanofluid past a truncated cone surface with Biot Number effect is studied theoretically. The effects of Brownian motion and thermophoresis are incorporated in the model in the presence of both heat and nanoparticle mass transfer Biot Number effect. The governing partial differential equations (PDEs) are transformed into highly nonlinear, coupled, multi-degree non-similar partial differential equations consisting of the momentum, energy and concentration equations via. Appropriate non-similarity transformations. These transformed conservation equations are solved subject to appropriate boundary conditions with a second order accurate finite difference method of the implicit type. The influences of the emerging parameters i.e. Casson fluid parameter (?), Brownian motion parameter (Nb) and thermophoresis parameter (Nt), Lewis number (Le), Buoyancy ratio parameter (N ), Prandtl number (Pr) and Biot number (Bi) on velocity, temperature and nano-particle concentration distributions is illustrated graphically and interpreted at length.  Validation of solutions with a Nakamura tri-diagonal method has been included. The study is relevant to enrobing processes for electric-conductive nano-materials of potential use in aerospace and other industries.
牛顿加热下非牛顿纳米流体通过截锥传输现象的数学分析
在本研究中,我们分析了Casson纳米流体通过截锥表面的外边界层流动中的热、动量和质量(物种)传递,并从理论上研究了Biot数效应。布朗运动和热泳效应在存在热和纳米颗粒传质生物数效应的情况下被纳入模型中。通过将控制偏微分方程转化为由动量、能量和浓度方程组成的高度非线性、耦合、多阶非相似偏微分方程。适当的非相似性变换。这些变换后的守恒方程在适当的边界条件下用隐式二阶精确有限差分法求解。图中详细说明了新兴参数,即Casson流体参数(?)、布朗运动参数(Nb)和热泳参数(Nt)、Lewis数(Le)、浮力比参数(N)、普朗特数(Pr)和毕奥数(Bi)对速度、温度和纳米粒子浓度分布的影响。已包括使用Nakamura三对角线方法验证解决方案。该研究与在航空航天和其他行业具有潜在用途的导电纳米材料的包覆工艺有关。
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来源期刊
CiteScore
2.50
自引率
5.60%
发文量
0
审稿时长
20 weeks
期刊介绍: TJPRC: Journal of Naval Architecture and Marine Engineering (JNAME) is a peer reviewed journal and it provides a forum for engineers and scientists from a wide range of disciplines to present and discuss various phenomena in the utilization and preservation of ocean environment. Without being limited by the traditional categorization, it is encouraged to present advanced technology development and scientific research, as long as they are aimed for more and better human engagement with ocean environment. Topics include, but not limited to: marine hydrodynamics; structural mechanics; marine propulsion system; design methodology & practice; production technology; system dynamics & control; marine equipment technology; materials science; under-water acoustics; satellite observations; and information technology related to ship and marine systems; ocean energy systems; marine environmental engineering; maritime safety engineering; polar & arctic engineering; coastal & port engineering; aqua-cultural engineering; sub-sea engineering; and specialized water-craft engineering. International Journal of Naval Architecture and Ocean Engineering is published quarterly by the Society of Naval Architects of Korea. In addition to original, full-length, refereed papers, review articles by leading authorities and articulated technical discussions of highly technical interest are also published.
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