Abstract
An analysis has been carried out to obtain the flow, heat and mass transfer characteristics of a viscous fluid having temperature dependent viscosity and thermal conductivity in a vertical channel. The energy equation accounts for viscous dissipation, while the first order homogeneous chemical reaction between the fluid and diffusing species is included in the mass diffusion equation. The walls of the channel are maintained at constant but different temperatures. The non-dimensional coupled nonlinear ordinary differential equations are solved analytically using perturbation method and numerically using Runge-Kutta shooting method. The velocity, temperature and concentration distributions are obtained numerically and presented through graphs. Skin friction coefficient and Nusselt number at the walls of the channel are derived and discussed and their numerical values for various values of physical parameters are presented through tables.
| Original language | English |
|---|---|
| Pages (from-to) | 98-108 |
| Number of pages | 11 |
| Journal | European Journal of Mechanics, B/Fluids |
| Volume | 58 |
| DOIs | |
| Publication status | Published - 1 Jul 2016 |
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Keywords
- Mixed convection
- Variable thermal conductivity
- Variable viscosity
- Viscous dissipation
ASJC Scopus subject areas
- Mathematical Physics
- Physics and Astronomy(all)
Cite this
Combined effect of variable viscosity and thermal conductivity on mixed convection flow of a viscous fluid in a vertical channel in the presence of first order chemical reaction. / Umavathi, J. C.; Sheremet, M. A.; Mohiuddin, Syed.
In: European Journal of Mechanics, B/Fluids, Vol. 58, 01.07.2016, p. 98-108.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Combined effect of variable viscosity and thermal conductivity on mixed convection flow of a viscous fluid in a vertical channel in the presence of first order chemical reaction
AU - Umavathi, J. C.
AU - Sheremet, M. A.
AU - Mohiuddin, Syed
PY - 2016/7/1
Y1 - 2016/7/1
N2 - An analysis has been carried out to obtain the flow, heat and mass transfer characteristics of a viscous fluid having temperature dependent viscosity and thermal conductivity in a vertical channel. The energy equation accounts for viscous dissipation, while the first order homogeneous chemical reaction between the fluid and diffusing species is included in the mass diffusion equation. The walls of the channel are maintained at constant but different temperatures. The non-dimensional coupled nonlinear ordinary differential equations are solved analytically using perturbation method and numerically using Runge-Kutta shooting method. The velocity, temperature and concentration distributions are obtained numerically and presented through graphs. Skin friction coefficient and Nusselt number at the walls of the channel are derived and discussed and their numerical values for various values of physical parameters are presented through tables.
AB - An analysis has been carried out to obtain the flow, heat and mass transfer characteristics of a viscous fluid having temperature dependent viscosity and thermal conductivity in a vertical channel. The energy equation accounts for viscous dissipation, while the first order homogeneous chemical reaction between the fluid and diffusing species is included in the mass diffusion equation. The walls of the channel are maintained at constant but different temperatures. The non-dimensional coupled nonlinear ordinary differential equations are solved analytically using perturbation method and numerically using Runge-Kutta shooting method. The velocity, temperature and concentration distributions are obtained numerically and presented through graphs. Skin friction coefficient and Nusselt number at the walls of the channel are derived and discussed and their numerical values for various values of physical parameters are presented through tables.
KW - Mixed convection
KW - Variable thermal conductivity
KW - Variable viscosity
KW - Viscous dissipation
UR - http://www.scopus.com/inward/record.url?scp=84964589464&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84964589464&partnerID=8YFLogxK
U2 - 10.1016/j.euromechflu.2016.04.003
DO - 10.1016/j.euromechflu.2016.04.003
M3 - Article
VL - 58
SP - 98
EP - 108
JO - European Journal of Mechanics, B/Fluids
JF - European Journal of Mechanics, B/Fluids
SN - 0997-7546
ER -