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Research Article

Magnetohydrodynamic squeezing flow of casson nanofluid between two parallel plates in a porous medium using method of matched asymptotic expansion

M. G. Sobamowo

Department of Mechanical Engineering, University of Lagos, Akoka, Lagos, Nigeria

Keywords

Abstract

Casson fluid, 

Squeezing flow,

Nanofluid,

Magnetic field, 

Parallel plates,

Method of matched asymptotic expansion

In this paper, unsteady squeezing flow of Casson nanofluid between two parallel plates embedded in a porous medium and subjected to magnetic field is analyzed. The developed systems of partial differential equations for the fluid flow models are converted to ordinary differential equations through suitable similarity variables. The obtained ordinary differential equation is solved using method of matched asymptotic expansion. The accuracies of the approximate analytical method for the small and large values of squeezing numbers are investigated. Good agreements are established between the results of the approximate analytical method and the results numerical method using fourth-fifth order Runge-Kutta-Fehlberg method. Thereafter, the developed approximate analytical solutions are used to investigate the effects of pertinent flow parameters on the squeezing flow phenomena of the nanofluids between the two moving parallel plates. The results established that the as the squeezing number and magnetic field parameters decreases, the flow velocity increases when the plates come together. Also, the velocity of the nanofluids further decreases as the magnetic field parameter increases when the plates move apart. However, the velocity is found to be directly proportional to the nanoparticle concentration during the squeezing flow i.e. when the plates are coming together and an inverse variation between the velocity and nanoparticle concentration is recorded when the plates are moving apart.  It is hope that this study will enhance the understanding the phenomena of squeezing flow in various applications.

 © 2018 MIM Research Group. All rights reserved.

DOI: http://dx.doi.org/10.17515/resm2017.46ds0315                          Full Text

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07/10/2019 Collaboration for IMSMATEC 2019: Editorial Board of our journal and Organizing Committee of The International Conference on Materials Science, Mechanical and Automotive Engineerings and Technology (IMSMATEC 2019) have agreed to collaborate. Extended versions of the selected papers from the conference will be published in our journal. For more see Events.


25/12/2018 Collaboration for iSTE-CE'2019: Editorial Board of our journal and Organizing Committee of International Conference on Innovation, Sustainability, Technology and Education in Civil Engineering (iSTE-CE'2019) have agreed to collaborate. Extended versions of the selected papers from the conference will be published in our journal. For more see Events.


23/12/2018 2018 Most Cited Paper Award: The paper authored by Jouni Freud and Alp Karakoç entitled as “Shear and torsion correction factors of Timoshenko beam model for generic cross sections" is awarded the 2018 Most Cited Paper Award of Research on Engineering Structures and Materials (RESM). We congratulate the authors and wish them a continued success.


23/12/2018 2018 Best Paper Award: The paper authored by Nelson C. Batista, Rui Melicio and Victor M. F. Mendes entitled as “Darrieus vertical axis wind turbines: methodology to study the self start capabilities considering symmetric and asymmetric air foils” is awarded the 2018 Best Paper Award of Research on Engineering Structures and Materials (RESM). We congratulate the authors and wish them a continued success.


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28/11/2018 Current Citation Count: Even if our journal is not currently indexed by Science Citation Index by Thomson-Reuters, first 3 Volumes of our journal, with 40 articles, are cited 44 times (up to given date) by journals indexed in in Web of Science databases.


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