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 equat...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIP Publishing
2016
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| Online Access: | http://eprints.usm.my/37091/1/%28Nanofluid_slip_flow_over%29_1%252E4951675.pdf |
| _version_ | 1825833593584222208 |
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| author | Md Basir, Md Faisal Uddin, M. J. Md. Ismail, A. I. Bég, O. Anwar |
| author_facet | Md Basir, Md Faisal Uddin, M. J. Md. Ismail, A. I. Bég, O. Anwar |
| author_sort | Md Basir, Md Faisal |
| collection | USM |
| 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 | 2024-03-06T15:10:09Z |
| format | Article |
| id | usm.eprints-37091 |
| institution | Universiti Sains Malaysia |
| language | English |
| last_indexed | 2024-03-06T15:10:09Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| record_format | dspace |
| spelling | usm.eprints-370912017-10-12T08:32:40Z http://eprints.usm.my/37091/ Nanofluid slip flow over a stretching cylinder with Schmidt and Péclet number effects Md Basir, Md Faisal Uddin, M. J. Md. Ismail, A. I. Bég, O. Anwar QA1-939 Mathematics 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. AIP Publishing 2016 Article PeerReviewed application/pdf en http://eprints.usm.my/37091/1/%28Nanofluid_slip_flow_over%29_1%252E4951675.pdf Md Basir, Md Faisal and Uddin, M. J. and Md. Ismail, A. I. and Bég, O. Anwar (2016) Nanofluid slip flow over a stretching cylinder with Schmidt and Péclet number effects. AIP Advances, 6 (055316). pp. 1-15. ISSN 2158-3226 http://dx.doi.org/10.1063/1.4951675 |
| spellingShingle | QA1-939 Mathematics Md Basir, Md Faisal Uddin, M. J. Md. Ismail, A. I. Bég, O. Anwar Nanofluid slip flow over a stretching cylinder with Schmidt and Péclet number effects |
| 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 |
| topic | QA1-939 Mathematics |
| url | http://eprints.usm.my/37091/1/%28Nanofluid_slip_flow_over%29_1%252E4951675.pdf |
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