Pub Date : 2023-09-26DOI: 10.1080/02286203.2023.2259514
D. N. Dash, S. Shaw, D. N. Thatoi, M. K. Nayak
ABSTRACTA simultaneous heat and mass transfer due to microrotating Darcy-Forchheimer flow of hybrid nanofluid over a moving thin needle is investigated. Darcy-Forchheimer medium accommodating hybrid nanofluid flow yields greater heat transfer rate, thereby leading to greater mass transfer rate over thin needle in industrial applications such as blood flow problems, aerodynamics, transportation, coating of wires, lubrication, and geothermal power generation. The thermophoresis and Brownian motion phenomena are introduced to enrich thermal treatment. Heat and mass transfer are accompanied by Cattaneo-Christov heat and mass flux. The hybrid nanofluid is radiative and dissipative in nature. Arrhenius pre-exponential factor law is introduced. Entropy generation analysis is carried out. The 4th order Runge-Kutta method along with shooting technique is devised to get requisite numerical solution of the transformed non-dimensional system of equations. Darcy-Forchheimer effect to simultaneous heat and mass transfer of microrotating hybrid nanofluid flow over thin needle subject to non-linear slip is the novelty of present study which is beyond of previous investigations. Rise in Forchheimer number (strengthening Darcy Forchheimer medium) leads to surface viscous drag decreases by 11.11% for hybrid nanofluid and 10.78% for pure nanofluid indicating the control of momentum transfer, thereby regulating heat transfer rate effectively.KEYWORDS: Thin needleDarcy-Forchheimer effecthybrid nanofluidCattaneo-Christov heat mass fluxArrhenius pre-exponential factor law Nomenclature(u,v)=velocity components in the axial and radial directionsms−1ρCphnf=specific heat capacity of hybrid nanofluidJkg2m3K−1ρCpbf=specific heat capacity of base fluidJkg2m3K−1ρCpCu=specific heat capacity of CuJkg2m3K−1ρCpAl2O3=specific heat capacity of Al2O3Jkg2m3K−1ρhnf=effective density of hybrid nanofluidkgm−3ρCu=density of Cukgm−3ρAl2O3=density of Al2O3kgm−3ρbf=density of base fluidkgm−3μhnf=effective dynamic viscosity ofhybrid nanofluidkgm−1s−1μbf=effective dynamic viscosity of base fluidkgm−1s−1βhnf=thermal expansion coefficient of hybrid nanofluidK−1βbf=thermal expansion coefficient of base fluidK−1βCu=thermal expansion coefficient of CuK−1βAl2O3=thermal expansion coefficient of Al2O3K−1khnf=thermal conductivity of hybrid nanofluidWm−1K−1kbf=thermal conductivity of base fluid Wm−1K−1kCu=thermal conductivity of CuWm−1K−1kAl2O3=thermal conductivity of Al2O3Wm−1K−1σ∗=Stefan-Boltzmann constantWm−2K−4k∗=mean absorption coefficientK=porous medium permeabilityk=vortex viscosityϕCu=volume fraction of CuϕAl2O3=volume fraction of Al2O3ϕ=overall nanoparticle volume fractionT=fluid temperature in the boundary layerKTs=temperature on the surface of thin needleKT∞=ambient fluid temperatureKT0=reference temperatureKC=concentration in the boundary layerCs=concentration on the surface of thin needleC∞=ambient concentrationC0=reference concentrationαhnf=thermal diffusivity of hybrid nanofluid m2s−1F=cbK
{"title":"Microrotating chemically reactive hybrid nanomaterial in a high porous medium influenced by Cattaneo-Christov double diffusion and non-linear slip","authors":"D. N. Dash, S. Shaw, D. N. Thatoi, M. K. Nayak","doi":"10.1080/02286203.2023.2259514","DOIUrl":"https://doi.org/10.1080/02286203.2023.2259514","url":null,"abstract":"ABSTRACTA simultaneous heat and mass transfer due to microrotating Darcy-Forchheimer flow of hybrid nanofluid over a moving thin needle is investigated. Darcy-Forchheimer medium accommodating hybrid nanofluid flow yields greater heat transfer rate, thereby leading to greater mass transfer rate over thin needle in industrial applications such as blood flow problems, aerodynamics, transportation, coating of wires, lubrication, and geothermal power generation. The thermophoresis and Brownian motion phenomena are introduced to enrich thermal treatment. Heat and mass transfer are accompanied by Cattaneo-Christov heat and mass flux. The hybrid nanofluid is radiative and dissipative in nature. Arrhenius pre-exponential factor law is introduced. Entropy generation analysis is carried out. The 4th order Runge-Kutta method along with shooting technique is devised to get requisite numerical solution of the transformed non-dimensional system of equations. Darcy-Forchheimer effect to simultaneous heat and mass transfer of microrotating hybrid nanofluid flow over thin needle subject to non-linear slip is the novelty of present study which is beyond of previous investigations. Rise in Forchheimer number (strengthening Darcy Forchheimer medium) leads to surface viscous drag decreases by 11.11% for hybrid nanofluid and 10.78% for pure nanofluid indicating the control of momentum transfer, thereby regulating heat transfer rate effectively.KEYWORDS: Thin needleDarcy-Forchheimer effecthybrid nanofluidCattaneo-Christov heat mass fluxArrhenius pre-exponential factor law Nomenclature(u,v)=velocity components in the axial and radial directionsms−1ρCphnf=specific heat capacity of hybrid nanofluidJkg2m3K−1ρCpbf=specific heat capacity of base fluidJkg2m3K−1ρCpCu=specific heat capacity of CuJkg2m3K−1ρCpAl2O3=specific heat capacity of Al2O3Jkg2m3K−1ρhnf=effective density of hybrid nanofluidkgm−3ρCu=density of Cukgm−3ρAl2O3=density of Al2O3kgm−3ρbf=density of base fluidkgm−3μhnf=effective dynamic viscosity ofhybrid nanofluidkgm−1s−1μbf=effective dynamic viscosity of base fluidkgm−1s−1βhnf=thermal expansion coefficient of hybrid nanofluidK−1βbf=thermal expansion coefficient of base fluidK−1βCu=thermal expansion coefficient of CuK−1βAl2O3=thermal expansion coefficient of Al2O3K−1khnf=thermal conductivity of hybrid nanofluidWm−1K−1kbf=thermal conductivity of base fluid Wm−1K−1kCu=thermal conductivity of CuWm−1K−1kAl2O3=thermal conductivity of Al2O3Wm−1K−1σ∗=Stefan-Boltzmann constantWm−2K−4k∗=mean absorption coefficientK=porous medium permeabilityk=vortex viscosityϕCu=volume fraction of CuϕAl2O3=volume fraction of Al2O3ϕ=overall nanoparticle volume fractionT=fluid temperature in the boundary layerKTs=temperature on the surface of thin needleKT∞=ambient fluid temperatureKT0=reference temperatureKC=concentration in the boundary layerCs=concentration on the surface of thin needleC∞=ambient concentrationC0=reference concentrationαhnf=thermal diffusivity of hybrid nanofluid m2s−1F=cbK","PeriodicalId":36017,"journal":{"name":"INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135719332","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-26DOI: 10.1080/02286203.2023.2261812
R. Madan Kumar, R. Srinivasa Raju, M. Anil Kumar
ABSTRACTThe goal of this study is to determine the effects of Soret, Dufour, and chemical reaction parameters on 2-D MHD Williamson nanofluid flow over a slippery-stretching sheet immersed in a porous medium. Under the influence of both magnetic field and thermal radiation, the significance of viscous dissipation and velocity slip boundary condition with heat generation have been explored. Similarity components were used to turn the nonlinear Partial Differential Equations (PDEs) into nonlinear Ordinary Differential Equations (ODEs), and they were solved using the fourth-order approach of the Runge–Kutta (R–K) method along with the shooting technique. The numerical computations were subsequently illustrated visually to demonstrate the influence of various physical factors on the plots of temperature, velocity, and concentration of the nanofluid. With the use of comparison with previously published data in a restricted sense, the veracity of computation results is evaluated. The tabular values illuminate that the local skin friction coefficient upsurge as the values of the magnetic parameter, porosity parameter, and Brownian motion parameter intensifies, whereas the opposite trend exists for other parameters. The local Nusselt number grows as the Schmidt number rises whereas the reverse trend was experienced for the freed-up parameters.KEYWORDS: Williamson nanofluid flowmagnetohydrodynamics (MHD)porous mediumslippery-stretching sheet Nomenclature C=concentration of the nanoparticles mol/LCw=surface nanoparticles concentration molL−1Kr=chemical reaction constant s−1a=Stretching velocit s−1T∞=free stream temperature KT=temperature of the nanofluidTm=mean nanofluid temperatureC∞=free nanoparticle concentration mol/LB0=Strength of the uniform magnetic field Tg=gravitational acceleration ms−2Dm=coefficient of mass diffusivitDB=Brownian diffusion coefficient m2s−1f=dimensionless stream functionk=permeability of porous medium m2kT=ratio of thermal diffusionk∗=mean absorption coefficient m−1cs=concentration susceptibilitycp=specific heat at constant pressure JKg−1K−1We=local Weissenberg numberPr=Prandtl numberQ0=heat generation (absorption) coefficient JK−1m−3s−1Q=heat generation parameterDu=Dufour (Diffusion- Thermo) parameterS=suction parameterSc=Schmidt numberSr=soret parameterK=porous parameterM=magnetic field parameterCf=skin friction coefficientCw=Surface nanoparticle concentration mol/LT=nanofluid temperature KR=radiation parameterTw=surface temperature KNb=Brownian motion parameter m−1Nt=thermophoresis parameterNux∼=local nusselt numberShux=local Sherwood parameteru=velocity on x-directionv=velocity on y-directionGreek symbols=θ=dimensionless temperaturev=kinematic viscosity m2s−1Γ=Williamson parameter sμ=CoefficientofviscosityKgm(−1s(−1))ρ=densityofthefluidKgm(−3)σ=electricalconductivitySm(−1)σ∗=Stefan−BoltzmannconstantbreakWm(−2K(−4))κ=thermal conductivity Wm−1K−1ϕ=dimensionlessconcentrationSuperscripts=W=wall condition‘=differentiation with res
{"title":"Effects of chemical reaction, Soret and Dufour parameters on MHD dissipative Williamson nanofluid flow over a slippery stretching sheet through a porous medium","authors":"R. Madan Kumar, R. Srinivasa Raju, M. Anil Kumar","doi":"10.1080/02286203.2023.2261812","DOIUrl":"https://doi.org/10.1080/02286203.2023.2261812","url":null,"abstract":"ABSTRACTThe goal of this study is to determine the effects of Soret, Dufour, and chemical reaction parameters on 2-D MHD Williamson nanofluid flow over a slippery-stretching sheet immersed in a porous medium. Under the influence of both magnetic field and thermal radiation, the significance of viscous dissipation and velocity slip boundary condition with heat generation have been explored. Similarity components were used to turn the nonlinear Partial Differential Equations (PDEs) into nonlinear Ordinary Differential Equations (ODEs), and they were solved using the fourth-order approach of the Runge–Kutta (R–K) method along with the shooting technique. The numerical computations were subsequently illustrated visually to demonstrate the influence of various physical factors on the plots of temperature, velocity, and concentration of the nanofluid. With the use of comparison with previously published data in a restricted sense, the veracity of computation results is evaluated. The tabular values illuminate that the local skin friction coefficient upsurge as the values of the magnetic parameter, porosity parameter, and Brownian motion parameter intensifies, whereas the opposite trend exists for other parameters. The local Nusselt number grows as the Schmidt number rises whereas the reverse trend was experienced for the freed-up parameters.KEYWORDS: Williamson nanofluid flowmagnetohydrodynamics (MHD)porous mediumslippery-stretching sheet Nomenclature C=concentration of the nanoparticles mol/LCw=surface nanoparticles concentration molL−1Kr=chemical reaction constant s−1a=Stretching velocit s−1T∞=free stream temperature KT=temperature of the nanofluidTm=mean nanofluid temperatureC∞=free nanoparticle concentration mol/LB0=Strength of the uniform magnetic field Tg=gravitational acceleration ms−2Dm=coefficient of mass diffusivitDB=Brownian diffusion coefficient m2s−1f=dimensionless stream functionk=permeability of porous medium m2kT=ratio of thermal diffusionk∗=mean absorption coefficient m−1cs=concentration susceptibilitycp=specific heat at constant pressure JKg−1K−1We=local Weissenberg numberPr=Prandtl numberQ0=heat generation (absorption) coefficient JK−1m−3s−1Q=heat generation parameterDu=Dufour (Diffusion- Thermo) parameterS=suction parameterSc=Schmidt numberSr=soret parameterK=porous parameterM=magnetic field parameterCf=skin friction coefficientCw=Surface nanoparticle concentration mol/LT=nanofluid temperature KR=radiation parameterTw=surface temperature KNb=Brownian motion parameter m−1Nt=thermophoresis parameterNux∼=local nusselt numberShux=local Sherwood parameteru=velocity on x-directionv=velocity on y-directionGreek symbols=θ=dimensionless temperaturev=kinematic viscosity m2s−1Γ=Williamson parameter sμ=CoefficientofviscosityKgm(−1s(−1))ρ=densityofthefluidKgm(−3)σ=electricalconductivitySm(−1)σ∗=Stefan−BoltzmannconstantbreakWm(−2K(−4))κ=thermal conductivity Wm−1K−1ϕ=dimensionlessconcentrationSuperscripts=W=wall condition‘=differentiation with res","PeriodicalId":36017,"journal":{"name":"INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION","volume":"102 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135718645","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-21DOI: 10.1080/02286203.2023.2254194
Neethu Elizabeth Michael, Ramesh C. Bansal, Ali A.A. Ismail, A. Elnady, Shazia Hasan
ABSTRACTOne of the key strategies for reducing the rate of environmental pollution is decarbonizing the power industry. In this work, we investigate the effects of energy storage systems (ESS) and fluctuations in renewable energy on climate change mitigation in a grid-connected microgrid. This analysis has been carried out by utilizing an improved energy management system (EMS) and optimal economic dispatch using computational models of mixed-integer linear programming (MILP). In addition to battery deterioration analysis, long short-term memory (LSTM) is developed to estimate photovoltaic and wind power renewable production, energy price, and load requirement. A sensitivity assessment is also performed to evaluate the influence of different input constraints on the model. The output results demonstrated that the EMS could schedule power effectively while considering electricity pricing. By up to 1636.96 $/hr. in day-ahead revenue with the degradation effect and 1811.96 $/hr. without the degradation effect, the analysis confirmed the usefulness of the proposed framework. Through the case studies explained, the new objective function observed minimum power costs with battery degradation by up to 1.10% less as compared to without battery degradation effect. Furthermore, the second case analysis indicates the significance of considering forecasted electrical parameters for realistic microgrid power dispatch.KEYWORDS: Economic dispatchenergy storage systemenergy management systemrenewable poweruncertaintymicrogrid Disclosure statementNo potential conflict of interest was reported by the authors.Additional informationNotes on contributorsNeethu Elizabeth MichaelNeethu Elizabeth Michael received her Ph.D. in Electrical Engineering from BITS Pilani, India in 2022, her MTech degree in Power Systems from the University of Calicut, Kerala, India in 2011, and her BTech degree in Electrical and Electronics Engineering from Mahatma Gandhi University, Kerala, India in 2009. Her work demonstrates quantitative scientific methodologies expertise, collaboration with societal research partners, and a track record of Q1 research publications. Her research interest includes microgrid power quality issues, renewable energy resources integration problems, virtual inertia applications in power systems, and participation and optimization of electric vehicles in the power market.Ramesh C. BansalRamesh C. Bansal has over 25 years of teaching, research, academic leadership, and industrial experience. Currently, he is a Professor in the EE Dept. at the University of Sharjah, UAE, and an Extraordinary Professor at the University of Pretoria, South Africa. In previous postings, he was a Professor and Group head (Power) at the University of Pretoria and worked with the University of Queensland, Australia; USP, Fiji; and BITS Pilani, India. Prof. Bansal has published over 400 journal articles, conf. papers, books/book chapters. He has Google citations of over 18000 and an h-inde
摘要降低环境污染率的关键策略之一是使电力工业脱碳。在这项工作中，我们研究了储能系统(ESS)和可再生能源的波动对并网微电网中气候变化缓解的影响。本文采用混合整数线性规划(MILP)计算模型，利用改进的能源管理系统(EMS)和最优经济调度进行了分析。除了电池劣化分析之外，还开发了长短期记忆(LSTM)来估计光伏和风能的可再生能源产量、能源价格和负荷需求。还进行了敏感性评估，以评估不同输入约束对模型的影响。输出结果表明，在考虑电价的情况下，EMS可以有效地进行电力调度。高达1636.96美元/小时。在前一天的收入与退化效应和1811.96美元/小时。在没有退化效应的情况下，分析证实了所提议框架的有效性。通过案例研究解释，新的目标函数观察到，与没有电池退化影响相比，电池退化影响下的最低电力成本减少了1.10%。第二例分析表明，考虑电参数预测对现实微网电力调度的重要意义。关键词:经济调度储能系统能源管理系统可再生能源不确定性微电网披露声明作者未报告潜在利益冲突。neethu Elizabeth Michael于2022年在印度理工学院皮拉尼分校获得电气工程博士学位，2011年在印度喀拉拉邦卡利卡特大学获得电力系统硕士学位，2009年在印度喀拉拉邦圣雄甘地大学获得电气和电子工程学士学位。她的工作展示了定量科学方法的专业知识，与社会研究伙伴的合作，以及Q1研究出版物的记录。主要研究方向为微电网电能质量问题、可再生能源资源整合问题、虚拟惯性在电力系统中的应用、电动汽车在电力市场中的参与与优化。Ramesh C. Bansal拥有超过25年的教学、研究、学术领导和行业经验。目前，他是阿联酋沙迦大学电子工程系的教授，以及南非比勒陀利亚大学的特聘教授。在之前的职位中，他是比勒陀利亚大学的教授和小组负责人(电力)，并与澳大利亚昆士兰大学合作;USP,斐济;以及印度的BITS Pilani。班萨尔教授发表了400多篇期刊文章、论文、书籍/书籍章节。他被引用次数超过18000次，h指数为65。培养博士25人，博士后5人。班萨尔教授吸引了来自工业界和政府组织的大量资金。他是知名期刊的编辑，包括IEEE Systems Journal, IET-RPG和SGSE。他是IEEE资深会员，英国工程师，印度工程师，IEEE资深会员。他在可再生能源、电力系统和智能电网等领域有广泛的研究兴趣。Ali A.A. Ismail (IEEE成员)，1991年获得苏丹喀土穆大学的学士学位，1997年获得伊拉克巴格达大学的硕士学位，2007年获得土耳其伊斯坦布尔Yildiz Technical University的电气工程博士学位。他的研究兴趣包括电机控制、电力电子应用、低频电磁波、滤波器和智能电网。ElnadyA。Elnady (IEEE高级会员)分别于1990年和1998年在埃及开罗大学获得学士和硕士学位，并于2004年在加拿大滑铁卢大学获得博士学位。他的研究兴趣包括电力系统中的电力电子应用、配电系统中的电能质量、智能电网以及可再生能源在电网中的整合。Shazia Hasan在印度知名机构拥有超过15年的教学和研究经验，目前在BITS Pilani迪拜校区担任副教授。2002年获学士学位，2012年获博士学位。2015年，她获得了VIFRA颁发的“青年科学家奖”。在IEEE、IET、Elsevier、Measurement等国际期刊/会议上发表研究论文40余篇。她曾担任若干国际会议的召集人/共同召集人。最近，她获得了LEWAS 2020“大学教授学术成就奖”。 主要研究方向为电力系统信号处理应用、可再生能源集成、滤波器设计等。
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Pub Date : 2023-09-14DOI: 10.1080/02286203.2023.2256070
S. H. C. V. Subba Bhatta, S. Ram Prasad, B.J. Gireesha
ABSTRACTThe goal of the current investigation is to examine the impact of magnetic field and heat source effects on a Reiner–Rivlin particulate flow through an asymmetric channel (convergent channel). The transformed governing equations are solved by employing the shooting technique with the RK4 method. To check the convergence of the computational results, a grid independence test has been performed. The impact of influential parameters on fluid as well as particle phases of velocity and temperature fields have been analyzed graphically. The present results exactly match previously published results in some limited cases. As the Reynolds number and magnetic parameter increase, the fluid phase velocity increases on the left side and decreases on the right part of the channel. Different fields, including metal steam resistors, paper production, and fibre suspension, are significantly impacted by the magnetic field’s effect on Reiner–Rivlin fluid through asymmetric channels.KEYWORDS: Reiner–Rivlin fluidtwo-phase flowparticle suspensionnumerical solutionconvergent channel Nomenclature U0=Radial velocity along center line m/sV0=Suction/Injection velocity m/su=Fluid phase velocity m/sup=Particle phase velocity m/sf=Dimensionless fluid phase velocityg=Dimensionless particle phase velocityT=Fluid phase temperature KTp=Particle phase temperature Kh=Dimensionless fluid phase temperatureH=Dimensionless particle phase temperatureS=Drag coefficient of the interaction for the force exerted by one face on the otherH0=Magnetic field intensity A/mCP=Specific heat of the fluid J/kg−1K−1Cm=Specific heat of the particles J/kg−1K−1K=Thermal conductivity of the fluid W/mKRe=Reynolds number U0r0υR=Cross flow Reynolds number V0r0υL=Ratio of the densities of the particle and fluid phase ρpρM2=Magnetic parameter σH02μe2r2ρυPr=Prandtl number μcpkN=Inelastic number υ1r2Greek symbols=r,θ=Polar coordinatesυ=Kinematic viscosityμ=Coefficient of viscosityα=Angle of the channelρ=Density of the fluidρp=Density of the particleμB=Plastic dynamic viscosityμe=Magnetic permeability of the fluidβ=Fluid particle interaction parameter for velocityβt=Fluid particle interaction parameter for temperatureAcknowledgmentsThe authors are thankful to the Department of Science and Technology, Government of India, for financing, as part of the DST-FIST venture for HEIs (Grant No. SR/FST/MS-I/2018/23(C)).Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationNotes on contributorsS. H. C. V. Subba BhattaDr. S. H. C. V. Subba Bhatta has completed his P.hD from S K University, Anantapur. He is working as a Professor in Department of Mathematics, M S Ramaiah Institute of Technology, Bengaluru. His interested areas are as follows, Two-phase flows, flow through non uniform channels, heat transfer etc.S. Ram PrasadDr S. Ram Prasad has completed his P.hD from VTU, Beagavi. He is working as an Assistant Professor in Department of Mathematics, M S Ramaiah In
摘要本文的目的是研究磁场和热源效应对赖纳-里夫林粒子在不对称通道(收敛通道)中的流动的影响。变换后的控制方程用RK4法采用射击技术求解。为了验证计算结果的收敛性，进行了网格无关性测试。用图形分析了影响参数对流体和颗粒相的速度场和温度场的影响。在一些有限的情况下，目前的结果与以前发表的结果完全吻合。随着雷诺数和磁参数的增大，流体相速度在通道左侧增大，在通道右侧减小。不同的领域，包括金属蒸汽电阻、造纸和纤维悬浮，都受到磁场通过不对称通道对赖纳-里夫林流体的影响的显著影响。关键词:赖纳-里夫林流体两相流颗粒悬浮数值解收敛通道命名法U0=沿中心线径向速度m/sV0=吸入/注入速度m/su=流体相速度m/sup=颗粒相速度m/sf=无量纲流体相速度g=无量纲颗粒相速度t =流体相温度KTp=颗粒相温度Kh=无量纲流体相温度h=无量纲颗粒相温度=作用力相互作用的阻力系数施加一脸otherH0 =磁场强度/ mCP =流体的比热J /公斤−1 k−1厘米=比热粒子的J /公斤−1 k−1 k =流体的导热系数W / mKRe =雷诺数U0r0υR =横流雷诺数V0r0υL =比粒子和流体相的密度ρpρM2 =磁参数σH02μe2r2ρυ公关=普朗特数μcpkN =非弹性υ1 r2greek符号= R,θ=极坐标υ=运动粘度μ=粘度系数α=角的通道密度ρ=流体ρp=粒子密度μ b =塑性动态粘度μe=流体的磁导率β=流体粒子相互作用参数(速度)βt=流体粒子相互作用参数(温度)致谢作者感谢印度政府科技部为高等学校DST-FIST项目提供的资助(批准号:浮置板轨道/ MS-I / SR / 2018/23 (C))。披露声明作者未报告潜在的利益冲突。附加信息:关于贡献者的说明。H. C. V.苏巴。S. H. C. V. Subba Bhatta在Anantapur的S. K大学完成了博士学位。他是班加罗尔拉马雅理工学院数学系的教授。他感兴趣的领域如下:两相流，非均匀通道流动，传热等。拉姆·普拉萨德(Ram Prasad)在比加维VTU完成了博士学位。他是班加罗尔拉马雅理工学院数学系的助理教授。主要研究方向为:两相流与多相流、纳米流体、非均匀通道中的牛顿流与非牛顿流等。GireeshaDr。B. J. Gireesha在下茂库文普大学获得博士学位。他是Shankaraghtta Kuvempu大学数学系教授。主要研究方向为流体力学、传热分析、纳米流体、含尘流体、翅片传热、微流体学。
{"title":"Numerical analysis of particulate Reiner–Rivlin flow in an asymmetric convergent channel with a heat source and magnetic field","authors":"S. H. C. V. Subba Bhatta, S. Ram Prasad, B.J. Gireesha","doi":"10.1080/02286203.2023.2256070","DOIUrl":"https://doi.org/10.1080/02286203.2023.2256070","url":null,"abstract":"ABSTRACTThe goal of the current investigation is to examine the impact of magnetic field and heat source effects on a Reiner–Rivlin particulate flow through an asymmetric channel (convergent channel). The transformed governing equations are solved by employing the shooting technique with the RK4 method. To check the convergence of the computational results, a grid independence test has been performed. The impact of influential parameters on fluid as well as particle phases of velocity and temperature fields have been analyzed graphically. The present results exactly match previously published results in some limited cases. As the Reynolds number and magnetic parameter increase, the fluid phase velocity increases on the left side and decreases on the right part of the channel. Different fields, including metal steam resistors, paper production, and fibre suspension, are significantly impacted by the magnetic field’s effect on Reiner–Rivlin fluid through asymmetric channels.KEYWORDS: Reiner–Rivlin fluidtwo-phase flowparticle suspensionnumerical solutionconvergent channel Nomenclature U0=Radial velocity along center line m/sV0=Suction/Injection velocity m/su=Fluid phase velocity m/sup=Particle phase velocity m/sf=Dimensionless fluid phase velocityg=Dimensionless particle phase velocityT=Fluid phase temperature KTp=Particle phase temperature Kh=Dimensionless fluid phase temperatureH=Dimensionless particle phase temperatureS=Drag coefficient of the interaction for the force exerted by one face on the otherH0=Magnetic field intensity A/mCP=Specific heat of the fluid J/kg−1K−1Cm=Specific heat of the particles J/kg−1K−1K=Thermal conductivity of the fluid W/mKRe=Reynolds number U0r0υR=Cross flow Reynolds number V0r0υL=Ratio of the densities of the particle and fluid phase ρpρM2=Magnetic parameter σH02μe2r2ρυPr=Prandtl number μcpkN=Inelastic number υ1r2Greek symbols=r,θ=Polar coordinatesυ=Kinematic viscosityμ=Coefficient of viscosityα=Angle of the channelρ=Density of the fluidρp=Density of the particleμB=Plastic dynamic viscosityμe=Magnetic permeability of the fluidβ=Fluid particle interaction parameter for velocityβt=Fluid particle interaction parameter for temperatureAcknowledgmentsThe authors are thankful to the Department of Science and Technology, Government of India, for financing, as part of the DST-FIST venture for HEIs (Grant No. SR/FST/MS-I/2018/23(C)).Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationNotes on contributorsS. H. C. V. Subba BhattaDr. S. H. C. V. Subba Bhatta has completed his P.hD from S K University, Anantapur. He is working as a Professor in Department of Mathematics, M S Ramaiah Institute of Technology, Bengaluru. His interested areas are as follows, Two-phase flows, flow through non uniform channels, heat transfer etc.S. Ram PrasadDr S. Ram Prasad has completed his P.hD from VTU, Beagavi. He is working as an Assistant Professor in Department of Mathematics, M S Ramaiah In","PeriodicalId":36017,"journal":{"name":"INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134910973","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-12DOI: 10.1080/02286203.2023.2249641
Gollapalli Shankar, Siva Reddy Sheri, Sabir Ali Shehzad
ABSTRACTThe numerical results of transient magnetohydrodynamic (MHD) Casson fluid flow under Soret-Dufour aspects are illustrated in this research. The governing dimensional equations of considered Casson fluids are first converted into dimensionless partial differential equations (PDEs) by utilizing the proper similar variables. The obtained system is then computed through the finite element method (FEM). The impact of dimensionless parameters is visualized on fluid velocity, skin friction, temperature, Nusselt number, concentration, and Sherwood number through the curves and tables. Both the temperature and velocity are risen against the higher Dufour number. It has been observed that the velocity profiles step up with the increment in various parameters. Comparisons are made with the available results in the open literature. These results are in good agreement with the previously published reports.KEYWORDS: transient flowMHDCasson fluidSoret-Dufour effectsFinite element method Nomenclature τ=ShearStressτ0=CassonyieldStressα∗=Shearrateμβ=PlasticdynamicviscosityNsm−1Py=Yieldstressfluideij= i.jthcomponentofdeformationrateu ′=Velocitythefluidms−1k=ThermalconductivityofthefluidWm−1K−1k∗=Absorptioncoefficientcp=SpecificheattransferflowbreakatconstantpressureJkg−1K−1cs=ConcentrationsusceptibilityF=QuadraticdragcoeficientT ′=FluidtemperatureKT∞′=TemperaturefarawayfromtheplateKC′=Speciesconcentrationmolm−3C∞′=Speciesconcentrationfarawaybreakfromtheplatemolm−3Q0=Volumetricrateofheatbreakgenerationorabsorptiong=GravitationalaccelerationB0=MagitudeofmagneticfieldU=Wallvelocityofthefluidms−1hs=Heattransfercoefficientqr′=RadiativeheatfluxD=Massdiffusivitym2s−1DCT=SoretdiffusivityPr=PrandtlnumberGr=ThermalGrashofnumberGm=MassGrashofnumberM=MagneticfieldK=Permeabilityparameterk ′=PermeabilityofporousmediumR=RadiationParameterEc=ViscousdissipationQ=HeatabsorptionSc=Schmidtnumberkr=ChemicalreactioncoefficientKr=ChemicalreactionparameterGreek symbols=ρ=Fluiddensitykgm−3βT=VolumeexpansionfactorbreakforheattransportationβC=Volumeexpansionfactorbreakformasstransportationμ=Dynamicviscositykgm−1s−1Cf=Skinfrictionα=Cassonparameterγ=ConjugateparameterΓ=Forchheimernumberω=Frequencyparameterθ=DimensionlesstemperatureC=Dimensionless,concentrationσ=Magneticpermeabilityofthefluidv=KinematiccoefficientofviscositySubscripts=w=Wallcondition∞=FreestreamconditionDisclosure statementNo potential conflict of interest was reported by the authors.Additional informationNotes on contributorsGollapalli ShankarMr. Gollapalli Shankar is an Assistant Professor in the Department of Mathematics, B V Raju Institute of Technology, Narsapur, Medak, Hyderabad, Telangana, India. He submitted his Ph.D. in Mathematics from GITAM University, Hyderabad Campus, Hyderabad, India. He has more than 11 years of teaching experience and 4 years of research. His current research studies include Fluid dynamics, Magnetohydrodynamics, Heat and Mass Transfer, and FEM. He has published 3 research papers in Natio
{"title":"Numerical study of transient chemical reactive magnetized Casson fluid flow in the presence of Newtonian heating","authors":"Gollapalli Shankar, Siva Reddy Sheri, Sabir Ali Shehzad","doi":"10.1080/02286203.2023.2249641","DOIUrl":"https://doi.org/10.1080/02286203.2023.2249641","url":null,"abstract":"ABSTRACTThe numerical results of transient magnetohydrodynamic (MHD) Casson fluid flow under Soret-Dufour aspects are illustrated in this research. The governing dimensional equations of considered Casson fluids are first converted into dimensionless partial differential equations (PDEs) by utilizing the proper similar variables. The obtained system is then computed through the finite element method (FEM). The impact of dimensionless parameters is visualized on fluid velocity, skin friction, temperature, Nusselt number, concentration, and Sherwood number through the curves and tables. Both the temperature and velocity are risen against the higher Dufour number. It has been observed that the velocity profiles step up with the increment in various parameters. Comparisons are made with the available results in the open literature. These results are in good agreement with the previously published reports.KEYWORDS: transient flowMHDCasson fluidSoret-Dufour effectsFinite element method Nomenclature τ=ShearStressτ0=CassonyieldStressα∗=Shearrateμβ=PlasticdynamicviscosityNsm−1Py=Yieldstressfluideij= i.jthcomponentofdeformationrateu ′=Velocitythefluidms−1k=ThermalconductivityofthefluidWm−1K−1k∗=Absorptioncoefficientcp=SpecificheattransferflowbreakatconstantpressureJkg−1K−1cs=ConcentrationsusceptibilityF=QuadraticdragcoeficientT ′=FluidtemperatureKT∞′=TemperaturefarawayfromtheplateKC′=Speciesconcentrationmolm−3C∞′=Speciesconcentrationfarawaybreakfromtheplatemolm−3Q0=Volumetricrateofheatbreakgenerationorabsorptiong=GravitationalaccelerationB0=MagitudeofmagneticfieldU=Wallvelocityofthefluidms−1hs=Heattransfercoefficientqr′=RadiativeheatfluxD=Massdiffusivitym2s−1DCT=SoretdiffusivityPr=PrandtlnumberGr=ThermalGrashofnumberGm=MassGrashofnumberM=MagneticfieldK=Permeabilityparameterk ′=PermeabilityofporousmediumR=RadiationParameterEc=ViscousdissipationQ=HeatabsorptionSc=Schmidtnumberkr=ChemicalreactioncoefficientKr=ChemicalreactionparameterGreek symbols=ρ=Fluiddensitykgm−3βT=VolumeexpansionfactorbreakforheattransportationβC=Volumeexpansionfactorbreakformasstransportationμ=Dynamicviscositykgm−1s−1Cf=Skinfrictionα=Cassonparameterγ=ConjugateparameterΓ=Forchheimernumberω=Frequencyparameterθ=DimensionlesstemperatureC=Dimensionless,concentrationσ=Magneticpermeabilityofthefluidv=KinematiccoefficientofviscositySubscripts=w=Wallcondition∞=FreestreamconditionDisclosure statementNo potential conflict of interest was reported by the authors.Additional informationNotes on contributorsGollapalli ShankarMr. Gollapalli Shankar is an Assistant Professor in the Department of Mathematics, B V Raju Institute of Technology, Narsapur, Medak, Hyderabad, Telangana, India. He submitted his Ph.D. in Mathematics from GITAM University, Hyderabad Campus, Hyderabad, India. He has more than 11 years of teaching experience and 4 years of research. His current research studies include Fluid dynamics, Magnetohydrodynamics, Heat and Mass Transfer, and FEM. He has published 3 research papers in Natio","PeriodicalId":36017,"journal":{"name":"INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135887596","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-04DOI: 10.1080/02286203.2023.2249656
S. Mondal, Dulal Pal
{"title":"Significance of binary chemical reaction with activation energy in magneto-bioconvection flow of a Powell Eyring nanofluid past an inclined stretching sheet by considering temperature-dependent viscosity and thermal conductivity","authors":"S. Mondal, Dulal Pal","doi":"10.1080/02286203.2023.2249656","DOIUrl":"https://doi.org/10.1080/02286203.2023.2249656","url":null,"abstract":"","PeriodicalId":36017,"journal":{"name":"INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION","volume":" ","pages":""},"PeriodicalIF":3.1,"publicationDate":"2023-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49005831","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-04DOI: 10.1080/02286203.2023.2254189
Swati Gautam, Gitanjali Mehta, Shahroz Anjum
{"title":"Performance improvement of reconfiguration strategies in photovoltaic array by replacement of blocking diodes with MOSFETs","authors":"Swati Gautam, Gitanjali Mehta, Shahroz Anjum","doi":"10.1080/02286203.2023.2254189","DOIUrl":"https://doi.org/10.1080/02286203.2023.2254189","url":null,"abstract":"","PeriodicalId":36017,"journal":{"name":"INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION","volume":" ","pages":""},"PeriodicalIF":3.1,"publicationDate":"2023-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48295722","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-28DOI: 10.1080/02286203.2023.2249648
V. Patil, Pooja P. Humane, Pradnyavati P. Yadav, Amar B. Patil
{"title":"Analysis of Cattaneo-Christov heat diffusion on MHD Casson-Williamson bioconvective nanofluid flow across an exponential porous stretching sheet","authors":"V. Patil, Pooja P. Humane, Pradnyavati P. Yadav, Amar B. Patil","doi":"10.1080/02286203.2023.2249648","DOIUrl":"https://doi.org/10.1080/02286203.2023.2249648","url":null,"abstract":"","PeriodicalId":36017,"journal":{"name":"INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION","volume":" ","pages":""},"PeriodicalIF":3.1,"publicationDate":"2023-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47221543","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-27DOI: 10.1080/02286203.2023.2249640
P. Veeresha, D. Prakasha, Chandrali Baishya, H. Baskonus
{"title":"Analysis of a mathematical model of the aggregation process of cellular slime mold within the frame of fractional calculus","authors":"P. Veeresha, D. Prakasha, Chandrali Baishya, H. Baskonus","doi":"10.1080/02286203.2023.2249640","DOIUrl":"https://doi.org/10.1080/02286203.2023.2249640","url":null,"abstract":"","PeriodicalId":36017,"journal":{"name":"INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION","volume":" ","pages":""},"PeriodicalIF":3.1,"publicationDate":"2023-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47663715","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-23DOI: 10.1080/02286203.2023.2249644
P. R. Duari, K. Das
{"title":"Active- passive controls on magneto CNTs nanofluid flow over a wavy rotating disc","authors":"P. R. Duari, K. Das","doi":"10.1080/02286203.2023.2249644","DOIUrl":"https://doi.org/10.1080/02286203.2023.2249644","url":null,"abstract":"","PeriodicalId":36017,"journal":{"name":"INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION","volume":" ","pages":""},"PeriodicalIF":3.1,"publicationDate":"2023-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46982424","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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