Abstract
Exact solutions of the Navier-Stokes equations
where q = (u,v,w)⊤ is the fluid velocity, p is the pressure, v is the kinematic viscosity and ρ is the density, can only be found for bodies with very simple geometries. It is also possible to find solutions when the Reynolds number is very small (Stokes flow), but the flow of an almost inviscid fluid, e.g. air, past a body requires us to develop the theory of boundary layers. These flows are of great practical interest, e.g. in aerodynamical flows, and in these flows, in general, we have the Reynolds number, Re » 1.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Burden, R. L. and Faires, J. D. (1993). Numerical analysis (5th edn). PWS, Boston.
Cheng, P. (1977). Combined free and forced convection flow about inclined surfaces in porous media. Int. J. Heat Mass Transfer, 20, 807–13.
Dennis, S. C. R. (1972). The motion of a viscous fluid past an impulsively started semi-infinite flat plate. J. Inst. Math. Appl., 10, 105–17.
Harris, S. D., Elliott, L., Ingham, D. B. and Pop, I. (1998). Transient free convection flow past a vertical flat plate subjected to a sudden change in surface temperature. Int. J. Heat Mass Transfer, 41, 357–72.
Harris, S. D., Ingham, D. B. and Pop, I. (1997). Free convection from a vertical plate in a porous media subjected to a sudden change in surface temperature. Int. Comm. Heat Mass Transfer, 24, 543–52.
Harris, S. D., Ingham, D. B. and Pop, I. (1997). Free convection from a vertical plate in a porous medium subjected to a sudden change in surface heat flux. Transport in Porous Media, 26, 207–26.
Harris, S. D., Ingham, D. B. and Pop, I. (1999). Unsteady mixed convection boundary-layer flow on a vertical surface in a porous medium. Int. J. Heat Mass Transfer, 42, 357–72.
Harris, S. D., Ingham, D. B. and Pop, I. (2000). Transient free convection from a horizontal surface in a porous medium subjected to a sudden change in surface heat flux. Transport in Porous Media, 39, 97–117.
Harris, S. D., Ingham, D. B. and Pop, I. (2002). Heat transfer in the laminar boundary-layer flow past an impulsively started semi-infinite wedge: constant wall temperature case. Eur. J. Mech. B-Fluids, 21, 447–68.
Ingham, D. B. and Pop, I. (ed.) (1998). Transport phenomena in porous media. Pergamon, Oxford.
Ingham, D. B. and Pop, I. (ed.) (2002). Transport phenomena in porous media II. Pergamon, Oxford.
Merkin, J. H. (1972). Free convection with blowing and suction. Int. J. Heat Mass Transfer, 15, 989–99.
Nield, D. A. and Bejan, A. (1999). Convection in porous media (2nd edn). Springer, New York.
Prandtl, L. (1904). Über Flüssigkeitsbewegung bei sehr kleiner Reibung. In Verh. III. int. Math. Kongr., Heidelberg, pp. 484-91. Teubner, Leipzig.
Smith, S. H. (1967). The impulsive motion of a wedge in a viscous fluid. J. Appl. Math. Phys. (ZAMP), 18, 508–22.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Harris, S.D., Ingham, D.B. (2004). Techniques for Solving the Boundary-Layer Equations. In: Ingham, D.B., Bejan, A., Mamut, E., Pop, I. (eds) Emerging Technologies and Techniques in Porous Media. NATO Science Series, vol 134. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0971-3_4
Download citation
DOI: https://doi.org/10.1007/978-94-007-0971-3_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-1874-9
Online ISBN: 978-94-007-0971-3
eBook Packages: Springer Book Archive