Computational optimization and investigation of conjugate heat and mass transfer in porous cavity / Azeem
Conjugate heat transfer in porous medium is a complex phenomenon that depends on coupled partial differential equations which are difficult to solve directly. The governing equations of conjugate heat transfer are coupled to each other thus any change in one equation affects the other equations a...
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2017
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| Online Access: | http://studentsrepo.um.edu.my/7602/1/All.pdf http://studentsrepo.um.edu.my/7602/9/azeem.pdf http://studentsrepo.um.edu.my/7602/ |
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| author | Azeem, - |
| author_facet | Azeem, - |
| author_sort | Azeem, - |
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| content_provider | Universiti Malaya |
| content_source | UM Student Repository |
| continent | Asia |
| country | Malaysia |
| description | Conjugate heat transfer in porous medium is a complex phenomenon that depends on
coupled partial differential equations which are difficult to solve directly. The governing
equations of conjugate heat transfer are coupled to each other thus any change in one
equation affects the other equations and vice-versa. The governing equations are nondimensionalised
with the help of suitable non-dimensional parameters. These equations can
be solved with the help of few numerical methods but that involves generation of huge
number of simpler equations. The large number of equation evolved takes enormous
amount of computational resources to solve and study the phenomenon. The current
research is undertaken to develop an optimized algorithm that takes lesser amount of time
to solve the resulting equations from application of a popular numerical techniques known
as finite element method. The governing partial differential equations are converted into a
set of algebraic equations that further assembled into a matrix form of equations. The
porous solid domain subjected to conjugate heat transfer is divided into smaller segments
with the help of triangular elements. The stiffness matrix of each element is assembled into
a global stiffness matrix. A tight convergence criterion is maintained for all the governing
equations. The optimized algorithm is compared with its conventional method of solution
for conjugate heat transfer as well as conjugate heat and mass transfer.
It is found that the developed algorithm works perfectly to predict the single diffusion as
well as double diffusion in a square porous cavity having a small solid placed at various
locations. The developed algorithm is found to take considerable lesser amount of iterations
and time to arrive at the solution as compared to its counterpart i.e. conventional method of
solution for conjugate heat transfer. The study revealed that the placement of solid has
significant effect on the heat and mass transfer behavior in the cavity. |
| format | Thesis |
| id | my.um.stud-7602 |
| institution | Universiti Malaya |
| publishDate | 2017 |
| record_format | eprints |
| spelling | my.um.stud-76022020-01-29T18:31:57Z Computational optimization and investigation of conjugate heat and mass transfer in porous cavity / Azeem Azeem, - QA75 Electronic computers. Computer science Conjugate heat transfer in porous medium is a complex phenomenon that depends on coupled partial differential equations which are difficult to solve directly. The governing equations of conjugate heat transfer are coupled to each other thus any change in one equation affects the other equations and vice-versa. The governing equations are nondimensionalised with the help of suitable non-dimensional parameters. These equations can be solved with the help of few numerical methods but that involves generation of huge number of simpler equations. The large number of equation evolved takes enormous amount of computational resources to solve and study the phenomenon. The current research is undertaken to develop an optimized algorithm that takes lesser amount of time to solve the resulting equations from application of a popular numerical techniques known as finite element method. The governing partial differential equations are converted into a set of algebraic equations that further assembled into a matrix form of equations. The porous solid domain subjected to conjugate heat transfer is divided into smaller segments with the help of triangular elements. The stiffness matrix of each element is assembled into a global stiffness matrix. A tight convergence criterion is maintained for all the governing equations. The optimized algorithm is compared with its conventional method of solution for conjugate heat transfer as well as conjugate heat and mass transfer. It is found that the developed algorithm works perfectly to predict the single diffusion as well as double diffusion in a square porous cavity having a small solid placed at various locations. The developed algorithm is found to take considerable lesser amount of iterations and time to arrive at the solution as compared to its counterpart i.e. conventional method of solution for conjugate heat transfer. The study revealed that the placement of solid has significant effect on the heat and mass transfer behavior in the cavity. 2017-01 Thesis NonPeerReviewed application/pdf http://studentsrepo.um.edu.my/7602/1/All.pdf application/pdf http://studentsrepo.um.edu.my/7602/9/azeem.pdf Azeem, - (2017) Computational optimization and investigation of conjugate heat and mass transfer in porous cavity / Azeem. PhD thesis, University of Malaya. http://studentsrepo.um.edu.my/7602/ |
| spellingShingle | QA75 Electronic computers. Computer science Azeem, - Computational optimization and investigation of conjugate heat and mass transfer in porous cavity / Azeem |
| title | Computational optimization and investigation of conjugate heat and mass transfer in porous cavity / Azeem |
| title_full | Computational optimization and investigation of conjugate heat and mass transfer in porous cavity / Azeem |
| title_fullStr | Computational optimization and investigation of conjugate heat and mass transfer in porous cavity / Azeem |
| title_full_unstemmed | Computational optimization and investigation of conjugate heat and mass transfer in porous cavity / Azeem |
| title_short | Computational optimization and investigation of conjugate heat and mass transfer in porous cavity / Azeem |
| title_sort | computational optimization and investigation of conjugate heat and mass transfer in porous cavity / azeem |
| topic | QA75 Electronic computers. Computer science |
| url | http://studentsrepo.um.edu.my/7602/1/All.pdf http://studentsrepo.um.edu.my/7602/9/azeem.pdf http://studentsrepo.um.edu.my/7602/ |
| url_provider | http://studentsrepo.um.edu.my/ |