Abstract
The onset of transient Soret-driven MHD convection of an incompressible electrically-conducting fluid with nanoparticles suspensions confined within a Hele-Shaw cell is studied. A uniform magnetic field is applied vertically. For the case of high concentration Rayleigh number with large negative Soret coefficient, the applied even small temperature on the upper boundary creates the Soret diffusion and therefore, the convective motion sets during the transient diffusion stage. For this transient stability analysis, the governing equations are derived in the global domain and are transformed into the semi-infinite one. The resulting equations are solved by the initial growth rate and the eigen analyses using spectral expansions. It is found that the critical time of instability increases with increasing magnetic number while decreases with increasing both the Hele-Shaw number and the concentration Rayleigh number. Under limiting case, the present stability criteria are also compared with the existing experimental results and good agreement are found.
| Original language | English |
|---|---|
| Pages (from-to) | 235-244 |
| Number of pages | 10 |
| Journal | Journal of the Taiwan Institute of Chemical Engineers |
| Volume | 58 |
| DOIs | |
| Publication status | Published - 2016 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Chemistry(all)
- Chemical Engineering(all)
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The onset of transient Soret-driven MHD convection confined within a Hele-Shaw cell with nanoparticles suspension. / Yadav, Dhananjay; Nam, Donglim; Lee, Jinho.
In: Journal of the Taiwan Institute of Chemical Engineers, Vol. 58, 01.01.2016, p. 235-244.Research output: Contribution to journal › Article
TY - JOUR
T1 - The onset of transient Soret-driven MHD convection confined within a Hele-Shaw cell with nanoparticles suspension
AU - Yadav, Dhananjay
AU - Nam, Donglim
AU - Lee, Jinho
PY - 2016/1/1
Y1 - 2016/1/1
N2 - The onset of transient Soret-driven MHD convection of an incompressible electrically-conducting fluid with nanoparticles suspensions confined within a Hele-Shaw cell is studied. A uniform magnetic field is applied vertically. For the case of high concentration Rayleigh number with large negative Soret coefficient, the applied even small temperature on the upper boundary creates the Soret diffusion and therefore, the convective motion sets during the transient diffusion stage. For this transient stability analysis, the governing equations are derived in the global domain and are transformed into the semi-infinite one. The resulting equations are solved by the initial growth rate and the eigen analyses using spectral expansions. It is found that the critical time of instability increases with increasing magnetic number while decreases with increasing both the Hele-Shaw number and the concentration Rayleigh number. Under limiting case, the present stability criteria are also compared with the existing experimental results and good agreement are found.
AB - The onset of transient Soret-driven MHD convection of an incompressible electrically-conducting fluid with nanoparticles suspensions confined within a Hele-Shaw cell is studied. A uniform magnetic field is applied vertically. For the case of high concentration Rayleigh number with large negative Soret coefficient, the applied even small temperature on the upper boundary creates the Soret diffusion and therefore, the convective motion sets during the transient diffusion stage. For this transient stability analysis, the governing equations are derived in the global domain and are transformed into the semi-infinite one. The resulting equations are solved by the initial growth rate and the eigen analyses using spectral expansions. It is found that the critical time of instability increases with increasing magnetic number while decreases with increasing both the Hele-Shaw number and the concentration Rayleigh number. Under limiting case, the present stability criteria are also compared with the existing experimental results and good agreement are found.
UR - http://www.scopus.com/inward/record.url?scp=84953839203&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84953839203&partnerID=8YFLogxK
U2 - 10.1016/j.jtice.2015.07.008
DO - 10.1016/j.jtice.2015.07.008
M3 - Article
AN - SCOPUS:84953839203
VL - 58
SP - 235
EP - 244
JO - Journal of the Taiwan Institute of Chemical Engineers
JF - Journal of the Taiwan Institute of Chemical Engineers
SN - 1876-1070
ER -