Lie Group Analysis for the Effect of Temperature-Dependent Fluid Viscosity and Thermophoresis Particle Deposition on Free Convective Heat and Mass Transfer in the Presence of Variable Stream Conditions

Ramasamy Kandasamy; Muhaimin

doi:10.3879/j.issn.1000-0887.2010.03.005

Volume 31 Issue 3

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Ramasamy Kandasamy, Muhaimin. Lie Group Analysis for the Effect of Temperature-Dependent Fluid Viscosity and Thermophoresis Particle Deposition on Free Convective Heat and Mass Transfer in the Presence of Variable Stream Conditions[J]. Applied Mathematics and Mechanics, 2010, 31(3): 295-305. doi: 10.3879/j.issn.1000-0887.2010.03.005

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Lie Group Analysis for the Effect of Temperature-Dependent Fluid Viscosity and Thermophoresis Particle Deposition on Free Convective Heat and Mass Transfer in the Presence of Variable Stream Conditions

doi: 10.3879/j.issn.1000-0887.2010.03.005

Faculty of Science, Arts and Heritage, Universiti Tun Hussein Onn Malaysia, Malaysia

Received Date: 1900-01-01
Rev Recd Date: 2009-11-23
Publish Date: 2010-03-15

Abstract

Abstract

A steady two-dmiensional flow of incompressible fluid over a vertical stretching sheet was studied. The fluid viscosity was assumed to vary as a linear function of temperature. A scaling group of transformations was applied to the governing equations. The system remained invariant due to some relations among the parameters of the transformations. After finding three absolute invariants, a third-order ordinary differential equation corresponding to the momentum equation and two second-order ordinary differential equations corresponding to energy and diffusion equations were derived. The equations along with the boundary conditions were solved numerically. It is found that the decrease in the temperature-dependent fluid viscosity makes the velocity decrease with the increasing distance of the stretching sheet. At a particular point of the sheet, the fluid velocity decreases with the decreasing viscosity while the temperature increases in this case. The impact of thermophoresis particle deposition plays an miportant role on the concen tration boundary layer. The results thus obtained are presented graphically and discussed.
- Lie group analysis,
- temperature-dependent fluid viscosity,
- thermal radiation,
- thermophores is particle deposition

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References

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