Non-isobaric Marangoni boundary layer flow for Cu, Al2O3, and TiO2 nanoparticles in a water based fluid.
In this paper, a non-isobaric Marangoni boundary layer flow that can be formed along the interface of immiscible nanofluids in surface driven flows due to an imposed temperature gradient, is considered. The solution is determined using a similarity solution for both the momentum and energy equa...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
| Published: |
Springer Verlag
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/25008/ http://psasir.upm.edu.my/id/eprint/25008/1/Non.pdf |
| _version_ | 1848845192035041280 |
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| author | Md. Arifin, Norihan Nazar, Roslinda Pop, Ioan |
| author_facet | Md. Arifin, Norihan Nazar, Roslinda Pop, Ioan |
| author_sort | Md. Arifin, Norihan |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, a non-isobaric Marangoni
boundary layer flow that can be formed along the
interface of immiscible nanofluids in surface driven
flows due to an imposed temperature gradient, is considered.
The solution is determined using a similarity
solution for both the momentum and energy equations
and assuming developing boundary layer flow along
the interface of the immiscible nanofluids. The resulting
system of nonlinear ordinary differential equations
is solved numerically using the shooting method along
with the Runge-Kutta-Fehlberg method. Numerical results
are obtained for the interface velocity, the surface
temperature gradient as well as the velocity and temperature
profiles for some values of the governing parameters,
namely the nanoparticle volume fraction φ
(0 ≤ φ ≤ 0.2) and the constant exponent β. Three different
types of nanoparticles, namely Cu, Al2O3 and
TiO2 are considered by using water-based fluid with Prandtl number Pr = 6.2. It was found that nanoparticles
with low thermal conductivity, TiO2, have better
enhancement on heat transfer compared to Al2O3 and
Cu. The results also indicate that dual solutions exist
when β <0.5. The paper complements also the work
by Golia and Viviani (Meccanica 21:200–204, 1986)
concerning the dual solutions in the case of adverse
pressure gradient. |
| first_indexed | 2025-11-15T08:42:54Z |
| format | Article |
| id | upm-25008 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:42:54Z |
| publishDate | 2011 |
| publisher | Springer Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-250082015-10-20T00:42:32Z http://psasir.upm.edu.my/id/eprint/25008/ Non-isobaric Marangoni boundary layer flow for Cu, Al2O3, and TiO2 nanoparticles in a water based fluid. Md. Arifin, Norihan Nazar, Roslinda Pop, Ioan In this paper, a non-isobaric Marangoni boundary layer flow that can be formed along the interface of immiscible nanofluids in surface driven flows due to an imposed temperature gradient, is considered. The solution is determined using a similarity solution for both the momentum and energy equations and assuming developing boundary layer flow along the interface of the immiscible nanofluids. The resulting system of nonlinear ordinary differential equations is solved numerically using the shooting method along with the Runge-Kutta-Fehlberg method. Numerical results are obtained for the interface velocity, the surface temperature gradient as well as the velocity and temperature profiles for some values of the governing parameters, namely the nanoparticle volume fraction φ (0 ≤ φ ≤ 0.2) and the constant exponent β. Three different types of nanoparticles, namely Cu, Al2O3 and TiO2 are considered by using water-based fluid with Prandtl number Pr = 6.2. It was found that nanoparticles with low thermal conductivity, TiO2, have better enhancement on heat transfer compared to Al2O3 and Cu. The results also indicate that dual solutions exist when β <0.5. The paper complements also the work by Golia and Viviani (Meccanica 21:200–204, 1986) concerning the dual solutions in the case of adverse pressure gradient. Springer Verlag 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25008/1/Non.pdf Md. Arifin, Norihan and Nazar, Roslinda and Pop, Ioan (2011) Non-isobaric Marangoni boundary layer flow for Cu, Al2O3, and TiO2 nanoparticles in a water based fluid. Meccanica, 46 (1). pp. 833-843. ISSN 0025-6455; ESSN:1572-9648 http://link.springer.com/ 10.1007/s11012-010-9344-6 English |
| spellingShingle | Md. Arifin, Norihan Nazar, Roslinda Pop, Ioan Non-isobaric Marangoni boundary layer flow for Cu, Al2O3, and TiO2 nanoparticles in a water based fluid. |
| title | Non-isobaric Marangoni boundary layer flow for Cu, Al2O3, and TiO2 nanoparticles in a water based fluid. |
| title_full | Non-isobaric Marangoni boundary layer flow for Cu, Al2O3, and TiO2 nanoparticles in a water based fluid. |
| title_fullStr | Non-isobaric Marangoni boundary layer flow for Cu, Al2O3, and TiO2 nanoparticles in a water based fluid. |
| title_full_unstemmed | Non-isobaric Marangoni boundary layer flow for Cu, Al2O3, and TiO2 nanoparticles in a water based fluid. |
| title_short | Non-isobaric Marangoni boundary layer flow for Cu, Al2O3, and TiO2 nanoparticles in a water based fluid. |
| title_sort | non-isobaric marangoni boundary layer flow for cu, al2o3, and tio2 nanoparticles in a water based fluid. |
| url | http://psasir.upm.edu.my/id/eprint/25008/ http://psasir.upm.edu.my/id/eprint/25008/ http://psasir.upm.edu.my/id/eprint/25008/ http://psasir.upm.edu.my/id/eprint/25008/1/Non.pdf |