Incompressible laminar 2D steady thermal boundary layers with temperature-dependent kinematic viscosity and thermal diffusivity

International Journal of Non-Linear Mechanics

Volumn 38, Issue 7, 2003, Pages 991-997

  Soh, C Wafo ^a  

^a UNIVERSITY OF THE WITWATERSRAND   (South Africa)

Author keywords

Incompressible; Invariant solutions; Laminar flows; Lie point symmetry; Thermal boundary layer

Indexed keywords

ALGEBRA; ENERGY DISSIPATION; KINEMATICS; LAMINAR FLOW; THERMAL DIFFUSION; VISCOSITY;

KINEMATIC VISCOSITY;

BOUNDARY LAYER FLOW;

EID: 0037412171     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7462(02)00043-4     Document Type: Short Survey

References (10)

1. Schlichting H. Boundary-Layer Theory. 1968;McGraw-Hill, New York.
2. Constantinescu V.N. Laminar Viscous Flow. 1995;Springer, Berlin.
3. Ovsiannikov L.V. Group Analysis of Differential Equations. 1982;Academic Press, New York.
4. Olver P.J. Applications of Lie Groups to Differential Equations. 1986;Springer, New York.
5. Bluman G.W., Kumei S. Symmetries and Differential Equations. 1989;Springer, New York.
6. Stephani H. Differential Equations - Their Solutions Using Symmetries. 1989;Cambridge University Press, Cambridge.
7. Ibragimov N.H. Elementary Lie Group Analysis and Ordinary Differential Equations. 1999;Wiley, New York.
8. S. Lie, On integration of a class of linear partial differential equations by means of definite integral, reprinted in Sophus Lie, Collected Work, Vol. 3, B.G. Teubner, Leipzig, 1922-1937.
9. C. Wafo Soh, Invariant solutions of 2D steady thermal boundary layer equations for incompressible laminar flow over a continuous moving hot surface, Preprint of the Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Johannesburg, 2002.
10. C. Wafo Soh, E. Momoniat, Potential symmetries of incompressible 2D thermal boundary layers, 2002, in preparation.