Abstract
Purpose - Steady-state free convection heat transfer in a right-angle triangular porous enclosure filled by a nanofluid using the mathematical nanofluid model proposed by Buongiorno has been numerically analyzed. The paper aims to discuss this issue. Design/methodology/approach - The nanofluid model takes into account the Brownian diffusion and thermophoresis effects. The governing equations formulated in terms of the vorticity-stream function variables were solved by finite difference method. Findings - It has been found that the average Nusselt number is an increasing function of the Rayleigh and Lewis numbers and a decreasing function of Brownian motion, buoyancy-ratio and thermophoresis parameters. At the same time the average Sherwood number is an increasing function of the Rayleigh and Lewis numbers, Brownian motion and thermophoresis parameters and a decreasing function of buoyancy-ratio parameter. Originality/value - The present results are new and original for the heat transfer and fluid flow in a right-angle triangular porous enclosure filled by a nanofluid using the mathematical nanofluid model proposed by Buongiorno. The results would benefit scientists and engineers to become familiar with the flow behaviour of such nanofluids, and the way to predict the properties of this flow for possibility of using nanofluids in advanced nuclear systems, in industrial sectors including transportation, power generation, chemical sectors, ventilation, air-conditioning, etc.
| Original language | English |
|---|---|
| Pages (from-to) | 1138-1161 |
| Number of pages | 24 |
| Journal | International Journal of Numerical Methods for Heat and Fluid Flow |
| Volume | 25 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1 Jun 2015 |
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Keywords
- Buongiorno's model
- Free convection
- Nanofluid
- Numerical study
- Triangular porous cavity
ASJC Scopus subject areas
- Mechanical Engineering
- Mechanics of Materials
- Computer Science Applications
- Applied Mathematics
Cite this
Free convection in a triangular cavity filled with a porous medium saturated by a nanofluid Buongiorno's mathematical model : Buongiorno's mathematical model. / Sheremet, M. A.; Pop, Ioan.
In: International Journal of Numerical Methods for Heat and Fluid Flow, Vol. 25, No. 5, 01.06.2015, p. 1138-1161.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Free convection in a triangular cavity filled with a porous medium saturated by a nanofluid Buongiorno's mathematical model
T2 - Buongiorno's mathematical model
AU - Sheremet, M. A.
AU - Pop, Ioan
PY - 2015/6/1
Y1 - 2015/6/1
N2 - Purpose - Steady-state free convection heat transfer in a right-angle triangular porous enclosure filled by a nanofluid using the mathematical nanofluid model proposed by Buongiorno has been numerically analyzed. The paper aims to discuss this issue. Design/methodology/approach - The nanofluid model takes into account the Brownian diffusion and thermophoresis effects. The governing equations formulated in terms of the vorticity-stream function variables were solved by finite difference method. Findings - It has been found that the average Nusselt number is an increasing function of the Rayleigh and Lewis numbers and a decreasing function of Brownian motion, buoyancy-ratio and thermophoresis parameters. At the same time the average Sherwood number is an increasing function of the Rayleigh and Lewis numbers, Brownian motion and thermophoresis parameters and a decreasing function of buoyancy-ratio parameter. Originality/value - The present results are new and original for the heat transfer and fluid flow in a right-angle triangular porous enclosure filled by a nanofluid using the mathematical nanofluid model proposed by Buongiorno. The results would benefit scientists and engineers to become familiar with the flow behaviour of such nanofluids, and the way to predict the properties of this flow for possibility of using nanofluids in advanced nuclear systems, in industrial sectors including transportation, power generation, chemical sectors, ventilation, air-conditioning, etc.
AB - Purpose - Steady-state free convection heat transfer in a right-angle triangular porous enclosure filled by a nanofluid using the mathematical nanofluid model proposed by Buongiorno has been numerically analyzed. The paper aims to discuss this issue. Design/methodology/approach - The nanofluid model takes into account the Brownian diffusion and thermophoresis effects. The governing equations formulated in terms of the vorticity-stream function variables were solved by finite difference method. Findings - It has been found that the average Nusselt number is an increasing function of the Rayleigh and Lewis numbers and a decreasing function of Brownian motion, buoyancy-ratio and thermophoresis parameters. At the same time the average Sherwood number is an increasing function of the Rayleigh and Lewis numbers, Brownian motion and thermophoresis parameters and a decreasing function of buoyancy-ratio parameter. Originality/value - The present results are new and original for the heat transfer and fluid flow in a right-angle triangular porous enclosure filled by a nanofluid using the mathematical nanofluid model proposed by Buongiorno. The results would benefit scientists and engineers to become familiar with the flow behaviour of such nanofluids, and the way to predict the properties of this flow for possibility of using nanofluids in advanced nuclear systems, in industrial sectors including transportation, power generation, chemical sectors, ventilation, air-conditioning, etc.
KW - Buongiorno's model
KW - Free convection
KW - Nanofluid
KW - Numerical study
KW - Triangular porous cavity
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U2 - 10.1108/HFF-06-2014-0181
DO - 10.1108/HFF-06-2014-0181
M3 - Article
VL - 25
SP - 1138
EP - 1161
JO - International Journal of Numerical Methods for Heat and Fluid Flow
JF - International Journal of Numerical Methods for Heat and Fluid Flow
SN - 0961-5539
IS - 5
ER -