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Effect of Time-Periodic Boundary TemperatureModulations on the Onset of Convection in aMaxwell Fluid-Nanofluid Saturated Porous Layer
Department of Mathematics, Gulbarga University, Gulbarga, Karnataka, India, and Department of Engineering, University of Sannio, Benevento, Italy.ORCID iD: 0000-0002-3907-650X
Department of Mathematics, University of Central Florida, Orlando, FL 32816, USA,.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0002-3907-650X
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
2016 (English)In: Engineering Mathematics I: Electromagnetics, Fluid Mechanics, Material Physics and Financial Engineering / [ed] Sergei Silvestrov, Milica Rančić, Springer, 2016, 221-245 p.Chapter in book (Refereed)
Abstract [en]

The linear stability of Maxwell fluid-nanofluid flow in a saturated porous layer is examined theoretically when the walls of the porous layers are subjected to time-periodic temperature modulations. A modified Darcy-Maxwell model is used to describe the fluid motion, and the nanofluid model used includes the effects of the Brownian motion. The thermal conductivity and viscosity are considered to be dependent on the nanoparticle volume fraction. A perturbation method based on a small amplitude of an applied temperature field is used to compute the critical value of the Rayleigh number and the wave number. The stability of the system characterized by a critical Rayleigh number is calculated as a function of the relaxation parameter, the concentration Rayleigh number, the porosity parameter, the Lewis number, the heat capacity ratio, the Vad´asz number, the viscosity parameter, the conductivity variation parameter, and the frequency of modulation. Three types of temperature modulations are considered, and the effects of all three types of modulations are found to destabilize the system as compared to the unmodulated system.

Place, publisher, year, edition, pages
Springer, 2016. 221-245 p.
Keyword [en]
Nanoliquid, maxwell fluid, porous layer
National Category
Computational Mathematics Mathematical Analysis
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-33234DOI: 10.1007/978-3-319-42082-0_14Scopus ID: 2-s2.0-85015263884ISBN: 978-3-319-42081-3 (print)ISBN: 978-3-319-42082-0 (electronic)OAI: oai:DiVA.org:mdh-33234DiVA: diva2:974106
Projects
FUSION
Funder
EU, European Research Council
Available from: 2016-09-23 Created: 2016-09-23 Last updated: 2017-09-04Bibliographically approved

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Publisher's full textScopushttps://link.springer.com/chapter/10.1007/978-3-319-42082-0_14

Authority records BETA

Metri, Prashant GSilvestrov, Sergei

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