Transport in Porous Media

, 80:389 | Cite as

Comment on “Combined Forced and Free Convective Flow in a Vertical Porous Channel: The Effects of Viscous Dissipation and Pressure Work” by A. Barletta and D. A. Nield, Transport in Porous Media, DOI 10.1007/s11242-008-9320-y, 2009

  • E. MagyariEmail author


In a recent article by Barletta and Nield (Transport in Porous Media, DOI  10.1007/s11242-008-9320-y, 2009), the title problem for the fully developed parallel flow regime was considered assuming isoflux/isothermal wall conditions. For the limiting cases of the forced and the free convection, analytical solutions were reported; for the general case, numerical solutions were reported. The aim of the present note is (i) to give an analytical solution for the full problem in terms of the Weierstrass elliptic P-function, (ii) to illustrate this general approach by two easily manageable examples, and (iii) to rise a couple of questions of basic physical interest concerning the interplay between the viscous dissipation and the pressure work. In this context, the concept of “eigenflow” introduced by Barletta and Nield is discussed in some detail.


Mixed convection Laminar flow Porous media Viscous dissipation Pressure work Analytical solution 


  1. Abramowitz M., Stegun I.A.: Handbook of Mathematical Functions. Dover, New York (1972)Google Scholar
  2. Barletta, A., Nield, D.A.: Combined forced and free convective flow in a vertical porous channel: the effects of viscous dissipation and pressure work. Transp. Porous Media (2009). DOI  10.1007/s11242-008-9320-y

Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Institut für HochbautechnikETH ZürichZurichSwitzerland

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