Numerical Solutions for Gyrotactic Bioconvection in Nanofluid-Saturated Porous Media with Stefan Blowing and Multiple Slip Effects
A mathematical model is developed to examine the effects of the Stefan blowing, second order velocity slip, thermal slip and microorganism species slip on nonlinear bioconvection boundary layer flow of a nanofluid over a horizontal plate embedded in a porous medium with the presence of passively con...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2016
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| Online Access: | http://umpir.ump.edu.my/id/eprint/16789/1/numerical%20solutions.pdf |
| _version_ | 1796991976479916032 |
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| author | Uddin, M. J. Alginahi, Yasser M. Bég, O Anwar M. Nomani, Kabir |
| author_facet | Uddin, M. J. Alginahi, Yasser M. Bég, O Anwar M. Nomani, Kabir |
| author_sort | Uddin, M. J. |
| collection | UMP |
| description | A mathematical model is developed to examine the effects of the Stefan blowing, second order velocity slip, thermal slip and microorganism species slip on nonlinear bioconvection boundary layer flow of a nanofluid over a horizontal plate embedded in a porous medium with the presence of passively controlled boundary condition. Scaling group transformations are used to find similarity equations of such nanobioconvection flows. The similarity equations are numerically solved with a Chebyshev collocation method. Validation of solutions is conducted with a Nakamura tri-diagonal finite difference algorithm. The effects of nanofluid characteristics and boundary properties such as the slips, Stefan blowing, Brownian motion and Grashof number on the dimensionless fluid velocity, temperature, nanoparticle volume fraction, motile microorganism, skin friction, the rate of heat transfer and the rate of motile microorganism transfer are investigated. This work is relevant to bio-inspired nanofluid-enhanced fuel cells and nano-materials fabrication processes. |
| first_indexed | 2024-03-06T12:13:15Z |
| format | Article |
| id | UMPir16789 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T12:13:15Z |
| publishDate | 2016 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | UMPir167892018-09-25T08:43:02Z http://umpir.ump.edu.my/id/eprint/16789/ Numerical Solutions for Gyrotactic Bioconvection in Nanofluid-Saturated Porous Media with Stefan Blowing and Multiple Slip Effects Uddin, M. J. Alginahi, Yasser M. Bég, O Anwar M. Nomani, Kabir Q Science (General) A mathematical model is developed to examine the effects of the Stefan blowing, second order velocity slip, thermal slip and microorganism species slip on nonlinear bioconvection boundary layer flow of a nanofluid over a horizontal plate embedded in a porous medium with the presence of passively controlled boundary condition. Scaling group transformations are used to find similarity equations of such nanobioconvection flows. The similarity equations are numerically solved with a Chebyshev collocation method. Validation of solutions is conducted with a Nakamura tri-diagonal finite difference algorithm. The effects of nanofluid characteristics and boundary properties such as the slips, Stefan blowing, Brownian motion and Grashof number on the dimensionless fluid velocity, temperature, nanoparticle volume fraction, motile microorganism, skin friction, the rate of heat transfer and the rate of motile microorganism transfer are investigated. This work is relevant to bio-inspired nanofluid-enhanced fuel cells and nano-materials fabrication processes. Elsevier 2016 Article PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/16789/1/numerical%20solutions.pdf Uddin, M. J. and Alginahi, Yasser M. and Bég, O Anwar and M. Nomani, Kabir (2016) Numerical Solutions for Gyrotactic Bioconvection in Nanofluid-Saturated Porous Media with Stefan Blowing and Multiple Slip Effects. Computers & Mathematics with Applications, 72 (10). pp. 2562-2581. ISSN 0898-1221. (Published) http://dx.doi.org/10.1016/j.camwa.2016.09.018 DOI: 10.1016/j.camwa.2016.09.018 |
| spellingShingle | Q Science (General) Uddin, M. J. Alginahi, Yasser M. Bég, O Anwar M. Nomani, Kabir Numerical Solutions for Gyrotactic Bioconvection in Nanofluid-Saturated Porous Media with Stefan Blowing and Multiple Slip Effects |
| title | Numerical Solutions for Gyrotactic Bioconvection in
Nanofluid-Saturated Porous Media with Stefan Blowing and
Multiple Slip Effects |
| title_full | Numerical Solutions for Gyrotactic Bioconvection in
Nanofluid-Saturated Porous Media with Stefan Blowing and
Multiple Slip Effects |
| title_fullStr | Numerical Solutions for Gyrotactic Bioconvection in
Nanofluid-Saturated Porous Media with Stefan Blowing and
Multiple Slip Effects |
| title_full_unstemmed | Numerical Solutions for Gyrotactic Bioconvection in
Nanofluid-Saturated Porous Media with Stefan Blowing and
Multiple Slip Effects |
| title_short | Numerical Solutions for Gyrotactic Bioconvection in
Nanofluid-Saturated Porous Media with Stefan Blowing and
Multiple Slip Effects |
| title_sort | numerical solutions for gyrotactic bioconvection in nanofluid saturated porous media with stefan blowing and multiple slip effects |
| topic | Q Science (General) |
| url | http://umpir.ump.edu.my/id/eprint/16789/1/numerical%20solutions.pdf |
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