{"title":"微极性纳米流体流过拉伸球体的非线性对流与对流传热","authors":"W. Ibrahim, Gadisa Kenea","doi":"10.1166/jon.2024.2120","DOIUrl":null,"url":null,"abstract":"An incompressible, steady combined nonlinear convective transport system on a micropolar nanofluid through a stretching sphere with convective heat transfer was investigated. The conservation equations corresponding to momentum, microrotation, thermal energy, and concentration particles\n have been formulated with suitable boundary constraints. By using the required non-dimensional variables, the conservation equations have been turned into a set of high-order standard differential equations. Then, an implicit finite difference method, also known as the Keller-Box Method (KBM),\n was used to numerically solve the flow problem. The obtained outcomes are displayed through graphs and tables to explain the impact of various governing variables over velocity, temperature, concentration, number of skin friction, wall coupled stress, Nusselt number, and Sherwood number. The\n findings demonstrate that increasing the convective heat parameter Bi enhances the factor of skin friction, local Nusselt number, Sherwood number, velocity field, and temperature profile while lowering the wall-coupled stress. It is observed that for high values of the material parameter\n β, the fluid velocity and the spin of the micro-elements both increase, which causes the dynamic viscosity and microrotation velocity to decrease. In addition, as the rates of magnetic constant Ma, thermophoresis Nt and Brownian movement Nb rise, the thermal distribution and its\n thickness of boundary layer increase. However, it decline along the enlarging quantities of nonlinear convection parameter λ, Prandtl number Pr, material parameter β, and solutal Grashof number Gm, which agrees to increase fluid density. When the range\n of thermophoresis Nt surges, it causes an increment in the nanoparticle species, but the opposite behavior have seen in the case of Brownian number Nb, and Lewis number Le. The comparison made with the related published paper achieves a significant agreement. The numerical result\n is generated through the implementation of the computational software MATLAB R2023a.","PeriodicalId":47161,"journal":{"name":"Journal of Nanofluids","volume":null,"pages":null},"PeriodicalIF":2.7000,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nonlinear Convection Flow of a Micropolar Nanofluid Past a Stretching Sphere with Convective Heat Transfer\",\"authors\":\"W. Ibrahim, Gadisa Kenea\",\"doi\":\"10.1166/jon.2024.2120\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An incompressible, steady combined nonlinear convective transport system on a micropolar nanofluid through a stretching sphere with convective heat transfer was investigated. The conservation equations corresponding to momentum, microrotation, thermal energy, and concentration particles\\n have been formulated with suitable boundary constraints. By using the required non-dimensional variables, the conservation equations have been turned into a set of high-order standard differential equations. Then, an implicit finite difference method, also known as the Keller-Box Method (KBM),\\n was used to numerically solve the flow problem. The obtained outcomes are displayed through graphs and tables to explain the impact of various governing variables over velocity, temperature, concentration, number of skin friction, wall coupled stress, Nusselt number, and Sherwood number. The\\n findings demonstrate that increasing the convective heat parameter Bi enhances the factor of skin friction, local Nusselt number, Sherwood number, velocity field, and temperature profile while lowering the wall-coupled stress. It is observed that for high values of the material parameter\\n β, the fluid velocity and the spin of the micro-elements both increase, which causes the dynamic viscosity and microrotation velocity to decrease. In addition, as the rates of magnetic constant Ma, thermophoresis Nt and Brownian movement Nb rise, the thermal distribution and its\\n thickness of boundary layer increase. However, it decline along the enlarging quantities of nonlinear convection parameter λ, Prandtl number Pr, material parameter β, and solutal Grashof number Gm, which agrees to increase fluid density. When the range\\n of thermophoresis Nt surges, it causes an increment in the nanoparticle species, but the opposite behavior have seen in the case of Brownian number Nb, and Lewis number Le. The comparison made with the related published paper achieves a significant agreement. 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引用次数: 0
摘要
研究了一个不可压缩、稳定的组合非线性对流输运系统,该系统涉及微观纳米流体通过拉伸球体的对流传热。在适当的边界约束条件下,制定了与动量、微旋、热能和浓度粒子相对应的守恒方程。通过使用所需的非维变量,守恒方程被转化为一组高阶标准微分方程。然后,使用隐式有限差分法(也称为凯勒-博克斯法(KBM))对流动问题进行数值求解。所获得的结果通过图表和表格显示出来,解释了各种控制变量对速度、温度、浓度、表皮摩擦力、壁面耦合应力、努塞尔特数和舍伍德数的影响。研究结果表明,增加对流热参数 Bi 会增强表皮摩擦系数、局部努塞尔特数、舍伍德数、速度场和温度分布,同时降低壁面耦合应力。观察发现,当材料参数 β 值较高时,流体速度和微元的自旋都会增加,从而导致动态粘度和微旋转速度降低。此外,随着磁常数 Ma、热泳率 Nt 和布朗运动率 Nb 的增加,边界层的热分布及其厚度也随之增加。然而,随着非线性对流参数λ、普朗特数Pr、材料参数β和溶质格拉肖夫数Gm等量的增大,热分布及其边界层厚度也随之减小,这与流体密度的增大是一致的。当热泳 Nt 的范围激增时,会导致纳米粒子种类的增加,但在布朗数 Nb 和路易斯数 Le 的情况下却出现了相反的行为。与已发表的相关论文进行比较后,两者的结果非常吻合。数值结果由 MATLAB R2023a 计算软件生成。
Nonlinear Convection Flow of a Micropolar Nanofluid Past a Stretching Sphere with Convective Heat Transfer
An incompressible, steady combined nonlinear convective transport system on a micropolar nanofluid through a stretching sphere with convective heat transfer was investigated. The conservation equations corresponding to momentum, microrotation, thermal energy, and concentration particles
have been formulated with suitable boundary constraints. By using the required non-dimensional variables, the conservation equations have been turned into a set of high-order standard differential equations. Then, an implicit finite difference method, also known as the Keller-Box Method (KBM),
was used to numerically solve the flow problem. The obtained outcomes are displayed through graphs and tables to explain the impact of various governing variables over velocity, temperature, concentration, number of skin friction, wall coupled stress, Nusselt number, and Sherwood number. The
findings demonstrate that increasing the convective heat parameter Bi enhances the factor of skin friction, local Nusselt number, Sherwood number, velocity field, and temperature profile while lowering the wall-coupled stress. It is observed that for high values of the material parameter
β, the fluid velocity and the spin of the micro-elements both increase, which causes the dynamic viscosity and microrotation velocity to decrease. In addition, as the rates of magnetic constant Ma, thermophoresis Nt and Brownian movement Nb rise, the thermal distribution and its
thickness of boundary layer increase. However, it decline along the enlarging quantities of nonlinear convection parameter λ, Prandtl number Pr, material parameter β, and solutal Grashof number Gm, which agrees to increase fluid density. When the range
of thermophoresis Nt surges, it causes an increment in the nanoparticle species, but the opposite behavior have seen in the case of Brownian number Nb, and Lewis number Le. The comparison made with the related published paper achieves a significant agreement. The numerical result
is generated through the implementation of the computational software MATLAB R2023a.
期刊介绍:
Journal of Nanofluids (JON) is an international multidisciplinary peer-reviewed journal covering a wide range of research topics in the field of nanofluids and fluid science. It is an ideal and unique reference source for scientists and engineers working in this important and emerging research field of science, engineering and technology. The journal publishes full research papers, review articles with author''s photo and short biography, and communications of important new findings encompassing the fundamental and applied research in all aspects of science and engineering of nanofluids and fluid science related developing technologies.