Nanofluid slip flow over a stretching cylinder with Schmidt and Péclet number effects
A mathematical model is presented for three-dimensional unsteady boundary layer slip flow of Newtonian nanofluids containing gyrotactic microorganisms over a stretching cylinder. Both hydrodynamic and thermal slips are included. By applying suitable similarity transformations, the governing equation...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2016-05-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/1.4951675 |
| _version_ | 1819263650171453440 |
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| author | Md Faisal Md Basir M. J. Uddin A. I. Md. Ismail O. Anwar Bég |
| author_facet | Md Faisal Md Basir M. J. Uddin A. I. Md. Ismail O. Anwar Bég |
| author_sort | Md Faisal Md Basir |
| collection | DOAJ |
| description | A mathematical model is presented for three-dimensional unsteady boundary layer slip flow of Newtonian nanofluids containing gyrotactic microorganisms over a stretching cylinder. Both hydrodynamic and thermal slips are included. By applying suitable similarity transformations, the governing equations are transformed into a set of nonlinear ordinary differential equations with appropriate boundary conditions. The transformed nonlinear ordinary differential boundary value problem is then solved using the Runge-Kutta-Fehlberg fourth-fifth order numerical method in Maple 18 symbolic software. The effects of the controlling parameters on the dimensionless velocity, temperature, nanoparticle volume fractions and microorganism motile density functions have been illustrated graphically. Comparisons of the present paper with the existing published results indicate good agreement and supports the validity and the accuracy of our numerical computations. Increasing bioconvection Schmidt number is observed to depress motile micro-organism density function. Increasing thermal slip parameter leads to a decrease in temperature. Thermal slip also exerts a strong influence on nano-particle concentration. The flow is accelerated with positive unsteadiness parameter (accelerating cylinder) and temperature and micro-organism density function are also increased. However nano-particle concentration is reduced with positive unsteadiness parameter. Increasing hydrodynamic slip is observed to boost temperatures and micro-organism density whereas it decelerates the flow and reduces nano-particle concentrations. The study is relevant to nano-biopolymer manufacturing processes. |
| first_indexed | 2024-12-23T20:16:57Z |
| format | Article |
| id | doaj.art-bb7950bf286d4659afb805556b1dc5ca |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-12-23T20:16:57Z |
| publishDate | 2016-05-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-bb7950bf286d4659afb805556b1dc5ca2022-12-21T17:32:40ZengAIP Publishing LLCAIP Advances2158-32262016-05-0165055316055316-1510.1063/1.4951675060605ADVNanofluid slip flow over a stretching cylinder with Schmidt and Péclet number effectsMd Faisal Md Basir0M. J. Uddin1A. I. Md. Ismail2O. Anwar Bég3School of Mathematical Sciences, Universiti Sains Malaysia, 11800, Penang, MalaysiaAmerican International University-Bangladesh, Banani, Dhaka 1213, BangladeshSchool of Mathematical Sciences, Universiti Sains Malaysia, 11800, Penang, MalaysiaSpray Research Group, School of Computing, Science and Engineering, Newton Bldg, University of Salford, Manchester, M54WT, England, UKA mathematical model is presented for three-dimensional unsteady boundary layer slip flow of Newtonian nanofluids containing gyrotactic microorganisms over a stretching cylinder. Both hydrodynamic and thermal slips are included. By applying suitable similarity transformations, the governing equations are transformed into a set of nonlinear ordinary differential equations with appropriate boundary conditions. The transformed nonlinear ordinary differential boundary value problem is then solved using the Runge-Kutta-Fehlberg fourth-fifth order numerical method in Maple 18 symbolic software. The effects of the controlling parameters on the dimensionless velocity, temperature, nanoparticle volume fractions and microorganism motile density functions have been illustrated graphically. Comparisons of the present paper with the existing published results indicate good agreement and supports the validity and the accuracy of our numerical computations. Increasing bioconvection Schmidt number is observed to depress motile micro-organism density function. Increasing thermal slip parameter leads to a decrease in temperature. Thermal slip also exerts a strong influence on nano-particle concentration. The flow is accelerated with positive unsteadiness parameter (accelerating cylinder) and temperature and micro-organism density function are also increased. However nano-particle concentration is reduced with positive unsteadiness parameter. Increasing hydrodynamic slip is observed to boost temperatures and micro-organism density whereas it decelerates the flow and reduces nano-particle concentrations. The study is relevant to nano-biopolymer manufacturing processes.http://dx.doi.org/10.1063/1.4951675 |
| spellingShingle | Md Faisal Md Basir M. J. Uddin A. I. Md. Ismail O. Anwar Bég Nanofluid slip flow over a stretching cylinder with Schmidt and Péclet number effects AIP Advances |
| title | Nanofluid slip flow over a stretching cylinder with Schmidt and Péclet number effects |
| title_full | Nanofluid slip flow over a stretching cylinder with Schmidt and Péclet number effects |
| title_fullStr | Nanofluid slip flow over a stretching cylinder with Schmidt and Péclet number effects |
| title_full_unstemmed | Nanofluid slip flow over a stretching cylinder with Schmidt and Péclet number effects |
| title_short | Nanofluid slip flow over a stretching cylinder with Schmidt and Péclet number effects |
| title_sort | nanofluid slip flow over a stretching cylinder with schmidt and peclet number effects |
| url | http://dx.doi.org/10.1063/1.4951675 |
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