Abstract
The problem of combined forced and free convection in a parallel-plate vertical channel is relevant in many industrial and engineering applications, such as heat exchangers, chemical processing equipment, fluid transport, and so on. A numerical analysis is performed within a combined forced and free convective magnetohydrodynamic (MHD) flow in a parallel-plate vertical channel. The MHD flow is assumed to be steady state, laminar and fully developed. The analysis takes account of the effects of both Joule heating and viscous dissipation, and is therefore relevant for MHD flow with high values of the dynamic viscosity as well as for high velocity flows. The non-linear governing equations for the velocity and temperature fields are solved using the differential transformation method. It is shown that the numerical results are in good agreement with the analytical solutions.
| Original language | English |
|---|---|
| Pages (from-to) | 105-110 |
| Number of pages | 6 |
| Journal | Applied Mathematics and Information Sciences |
| Volume | 9 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2015 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Numerical Analysis
- Computer Science Applications
- Computational Theory and Mathematics
- Applied Mathematics
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Numerical study of mixed convection MHD flow in vertical channels using differential transformation method. / Liu, Chin-Chia.
In: Applied Mathematics and Information Sciences, Vol. 9, No. 1, 01.01.2015, p. 105-110.Research output: Contribution to journal › Article
TY - JOUR
T1 - Numerical study of mixed convection MHD flow in vertical channels using differential transformation method
AU - Liu, Chin-Chia
PY - 2015/1/1
Y1 - 2015/1/1
N2 - The problem of combined forced and free convection in a parallel-plate vertical channel is relevant in many industrial and engineering applications, such as heat exchangers, chemical processing equipment, fluid transport, and so on. A numerical analysis is performed within a combined forced and free convective magnetohydrodynamic (MHD) flow in a parallel-plate vertical channel. The MHD flow is assumed to be steady state, laminar and fully developed. The analysis takes account of the effects of both Joule heating and viscous dissipation, and is therefore relevant for MHD flow with high values of the dynamic viscosity as well as for high velocity flows. The non-linear governing equations for the velocity and temperature fields are solved using the differential transformation method. It is shown that the numerical results are in good agreement with the analytical solutions.
AB - The problem of combined forced and free convection in a parallel-plate vertical channel is relevant in many industrial and engineering applications, such as heat exchangers, chemical processing equipment, fluid transport, and so on. A numerical analysis is performed within a combined forced and free convective magnetohydrodynamic (MHD) flow in a parallel-plate vertical channel. The MHD flow is assumed to be steady state, laminar and fully developed. The analysis takes account of the effects of both Joule heating and viscous dissipation, and is therefore relevant for MHD flow with high values of the dynamic viscosity as well as for high velocity flows. The non-linear governing equations for the velocity and temperature fields are solved using the differential transformation method. It is shown that the numerical results are in good agreement with the analytical solutions.
UR - http://www.scopus.com/inward/record.url?scp=84924230014&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84924230014&partnerID=8YFLogxK
U2 - 10.12785/amis/091L13
DO - 10.12785/amis/091L13
M3 - Article
AN - SCOPUS:84924230014
VL - 9
SP - 105
EP - 110
JO - Applied Mathematics and Information Sciences
JF - Applied Mathematics and Information Sciences
SN - 1935-0090
IS - 1
ER -