C. Bheemudu, T. Ramakrishna Goud, Ravi Ragoju, Kiran Kumar Paidipati, Christophe Chesneau
{"title":"Nonlinear magnetoconvection of a Maxwell fluid in a porous layer with chemical reaction","authors":"C. Bheemudu, T. Ramakrishna Goud, Ravi Ragoju, Kiran Kumar Paidipati, Christophe Chesneau","doi":"10.1080/02286203.2023.2266792","DOIUrl":null,"url":null,"abstract":"ABSTRACTIn this paper, the linear and nonlinear instability of magnetoconvection in a Darcy-Benard setup saturated by a Maxwell fluid with chemical reactions is studied. The governing non-dimension equations are solved using the normal modes, and we obtain the expressions for steady and oscillatory thermal Rayleigh numbers. The effects of different physical parameters such as the Damkohler number (0<Da<20), Hartmann number (0<Ha<1), Solute Rayleigh number (0<RS<1000), relaxation parameter (0<λ<1), Magnetic Prandtl number (0<Pr<10), Lewis number (0<Le<100) on stationary and oscillatory critical thermal Rayleigh numbers are presented and described. Enhancing the values of the Solute Rayleigh number and Lewis number makes the system unstable. Also, the Hartmann number and Damkohler number have a contrasting effect on stationary and oscillatory convection. Enhancing the value of the relaxation parameter makes the system more stable. In order to study heat transport by convection, the well-known equation, the Landau-Ginzburg equation, is derived.KEYWORDS: Porous mediachemical reactionMaxwell fluidnonlinear stability analysis Nomenclature uˉ=Fluid velocity(m/s)uˉ,vˉ,wˉ=velocity componentsH‾=Magnetic field(A/m)Hx,Hy,Hz=Magnetic field componentsθˉ=Temperature(k)Cˉ=Concentration(moi/m3)t=Time(s)P=Pressure(N/m2)g=acceleration due gravity(m/s2)k=Thermal diffusivity(m2/s)κ=Permeability(H/m)d=Length(m)Dimensionless Parameters=A=Complex AmplitudeDa=Damkohler numberR=Rayleigh numberHa=Hartmann numberRS=Solute Rayleigh numberλ=relaxation parameterPr=Magnetic Prandtl numberLe=Lewis numberq=Wave numberNu=Nusselt numberGreek Symbols=α=Thermal expansion coefficientη=Magnetic diffusivity(m2/s)μ=Fluid viscosity(kg/ms)μe=Effective fluid Viscosity(kg/ms)μm=Magnetic Permeability(H/m)\\isin=Porosity(ml/min)ρ=Fluid density(kg/m3)ν=Kinematic viscosity(m2/s)AcknowledgmentsThe authors would like to thank the two anonymous referees and the associate editor for their insightful comments, which helped to significantly improve the paper.Disclosure statementNo potential conflict of interest was reported by the authors.Additional informationNotes on contributorsC. BheemuduC. Bheemudu completed a graduation in Nizam degree college and MSc in Osmania University. Currently, he does PhD in Osmania University. He works on hydrodynamic stability.T. Ramakrishna GoudT. Ramakrishna Goud completed a MSc and PhD in Osmania University. Currently, he works as an assistant professor in department of mathematics, Shaifabad PG college. he investigates on boundary layer flow and hydrodynamic stability.Ravi RagojuDr. Ravi Ragoju is working as an Assistant Professor in Department of Applied Sciences, National Institute of Technology Goa, Goa, India. He published more than 35 articles in various reputed journals. He received MSc and PhD in Applied science from National Institute of Technology Warangal, Telangana, India. His research interests include convection, bifurcation analysis, linear and non-linear stability analyses, fluid flow, and artificial neural networks.Kiran Kumar PaidipatiDr. Kiran Kumar Paidipati is working as an Assistant Professor in the Area of Decision Sciences, Indian Institute of Management Sirmaur, Himachal Pradesh, India. Dr. Paidipati completed his Ph.D. in Statistics and Post - Doctoral studies from Pondicherry University, Puducherry, India and M. Sc. Statistics from Sri Venkateswara University, Tirupati, India. His research areas include Stochastic Modeling, Operations Research, and Data Science. He published more than 25 research papers in various reputed journals.Christophe ChesneauChristophe Chesneau is a distinguished researcher and professor at Université de Caen- Normandie, France. With extensive expertise in survival analysis, statistical modelling, and computational statistics, Prof. Chesneau has made significant contributions to the field. His research focuses on developing advanced parametric survival models that incorporate trigonometric baseline distributions, exploring their applications in various domains, including engineering, economics, social sciences, medicine, education, and other fields.","PeriodicalId":36017,"journal":{"name":"INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION","volume":"48 1","pages":"0"},"PeriodicalIF":3.1000,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/02286203.2023.2266792","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
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Abstract
ABSTRACTIn this paper, the linear and nonlinear instability of magnetoconvection in a Darcy-Benard setup saturated by a Maxwell fluid with chemical reactions is studied. The governing non-dimension equations are solved using the normal modes, and we obtain the expressions for steady and oscillatory thermal Rayleigh numbers. The effects of different physical parameters such as the Damkohler number (0
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