Research Article Open Access

Solute or Heat Transport in a Flat Duct

Elijah Johnson, Ayaovi D. Apeti, Sekeenia Haynes and Larry Robinson


Steady state solute and heat transfer for laminar flow in a flat duct has been widely studied[1-4]. The same problem in a circular tube is called the Graetz Problem[5,6]. The transfer rate of solute and heat from fluids is of importance in a number of processes, such as diffusion of drugs in the blood stream and the uptake of environmental contaminants by animals in aquatic media[7]. In this study the rate of solute or heat transfer from fluids was determined by solving the associated differential equation. Solution by the series approach in the complex plane was used with a series that had a gaussian factor. The eigenfunctions and eigenvalues involved were examined for two different sets of boundary conditions.

American Journal of Environmental Sciences
Volume 4 No. 6, 2008, 721-726


Submitted On: 10 July 2005 Published On: 31 December 2008

How to Cite: Johnson, E., Apeti, A. D., Haynes, S. & Robinson, L. (2008). Solute or Heat Transport in a Flat Duct. American Journal of Environmental Sciences, 4(6), 721-726.

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  • Boundary condition
  • eigenvalue
  • eigenfunction
  • flux
  • partial differential equation