A Numerical Study on Slip Flow Heat Transfer in Micro-Poiseuille Flow using Perturbation Method
In this study, slip-flow heat transfer in a laminar, steady state, two-dimensional incompressible flow between parallel plates micro-channel is investigated numerically. A new method based on perturbation expansion for modeling of slip micro-flows is presented. Navier-stokes equations are develope...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Isfahan University of Technology
2015-01-01
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| Series: | Journal of Applied Fluid Mechanics |
| Subjects: | |
| Online Access: | http://jafmonline.net/JournalArchive/download?file_ID=35468&issue_ID=220 |
| _version_ | 1811299500856180736 |
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| author | M. Saghafian Ramezan Rajabi Idin Saberian E. Shirani |
| author_facet | M. Saghafian Ramezan Rajabi Idin Saberian E. Shirani |
| author_sort | M. Saghafian |
| collection | DOAJ |
| description | In this study, slip-flow heat transfer in a laminar, steady state, two-dimensional incompressible flow between parallel
plates micro-channel is investigated numerically. A new method based on perturbation expansion for modeling of slip
micro-flows is presented. Navier-stokes equations are developed by using perturbation expansions of velocity,
pressure and temperature fields. Different orders of equations depending on the magnitude of Knudsen number are
obtained and each set of the equations are solved. The computations are performed for micro-channels with Constant
Wall Heat Flux (CWHF) and Constant Wall Temperature (CWT) boundary conditions to obtain heat transfer
characteristics of gaseous flow in slip regime. The effects of compressibility and viscous dissipation are neglected in
this study. The numerical methodology is based on Semi-Implicit Method for Pressure-Linked Equations (SIMPLE)
method. The effects of Knudsen number and thermal creep flow on Nusselt number are numerically investigated.This
study confirms that the perturbation method with different orders of Knudsen number can predict the velocity and
temperature fields with good accuracy. The obtained solutions are compared with both available numerical and
analytical results and good agreement is obtained. |
| first_indexed | 2024-04-13T06:36:46Z |
| format | Article |
| id | doaj.art-a933ef5b56d5491a88bb0c460794bf22 |
| institution | Directory Open Access Journal |
| issn | 1735-3572 |
| language | English |
| last_indexed | 2024-04-13T06:36:46Z |
| publishDate | 2015-01-01 |
| publisher | Isfahan University of Technology |
| record_format | Article |
| series | Journal of Applied Fluid Mechanics |
| spelling | doaj.art-a933ef5b56d5491a88bb0c460794bf222022-12-22T02:57:53ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-35722015-01-0181123132.A Numerical Study on Slip Flow Heat Transfer in Micro-Poiseuille Flow using Perturbation MethodM. Saghafian0Ramezan Rajabi1Idin Saberian2E. Shirani3Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, IranIsfahan University of TechnologyIsfahan University of TechnologyFoolad Institute of Technology, Fooladshahr, Isfahan 84916-63763, IranIn this study, slip-flow heat transfer in a laminar, steady state, two-dimensional incompressible flow between parallel plates micro-channel is investigated numerically. A new method based on perturbation expansion for modeling of slip micro-flows is presented. Navier-stokes equations are developed by using perturbation expansions of velocity, pressure and temperature fields. Different orders of equations depending on the magnitude of Knudsen number are obtained and each set of the equations are solved. The computations are performed for micro-channels with Constant Wall Heat Flux (CWHF) and Constant Wall Temperature (CWT) boundary conditions to obtain heat transfer characteristics of gaseous flow in slip regime. The effects of compressibility and viscous dissipation are neglected in this study. The numerical methodology is based on Semi-Implicit Method for Pressure-Linked Equations (SIMPLE) method. The effects of Knudsen number and thermal creep flow on Nusselt number are numerically investigated.This study confirms that the perturbation method with different orders of Knudsen number can predict the velocity and temperature fields with good accuracy. The obtained solutions are compared with both available numerical and analytical results and good agreement is obtained.http://jafmonline.net/JournalArchive/download?file_ID=35468&issue_ID=220Heat transfer slip-flow micro-channel parallel-plates Nusselt number perturbation expansion. |
| spellingShingle | M. Saghafian Ramezan Rajabi Idin Saberian E. Shirani A Numerical Study on Slip Flow Heat Transfer in Micro-Poiseuille Flow using Perturbation Method Journal of Applied Fluid Mechanics Heat transfer slip-flow micro-channel parallel-plates Nusselt number perturbation expansion. |
| title | A Numerical Study on Slip Flow Heat Transfer in Micro-Poiseuille Flow using Perturbation Method |
| title_full | A Numerical Study on Slip Flow Heat Transfer in Micro-Poiseuille Flow using Perturbation Method |
| title_fullStr | A Numerical Study on Slip Flow Heat Transfer in Micro-Poiseuille Flow using Perturbation Method |
| title_full_unstemmed | A Numerical Study on Slip Flow Heat Transfer in Micro-Poiseuille Flow using Perturbation Method |
| title_short | A Numerical Study on Slip Flow Heat Transfer in Micro-Poiseuille Flow using Perturbation Method |
| title_sort | numerical study on slip flow heat transfer in micro poiseuille flow using perturbation method |
| topic | Heat transfer slip-flow micro-channel parallel-plates Nusselt number perturbation expansion. |
| url | http://jafmonline.net/JournalArchive/download?file_ID=35468&issue_ID=220 |
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