## Abstract

The steady mixed convection flow in a vertical channel is investigated for laminar and fully developed flow regime. In the modelling of the heat transfer the viscous dissipation term was also considered. Temperature on the right wall is assumed constant while a mixed boundary condition (Robin boundary condition) is considered on the left wall. The governing equations are expressed in non-dimensional form and then solved both analytically and numerically. It was found that there is a decrease in reversal flow with an increase in the mixed convection parameter.

## Authors

Flavius **Patrulescu**

(Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy)

Teodor **Groşan**

(Babeş-Bolyai University Faculty of Mathematics and Computer Sciences)

Adrian Vasile** Lar**

(Școala Cojocna, Romania)

## Keywords

## Cite this paper as:

F. Pătrulescu, T. Groşan, A.V. Lar, *Mixed convection in a vertical channel subject to Robin boundary condition*, Studia Universitatis Babeş-Bolyai, seria Mathematica, vol. 55, no. 2 (2010), pp. 167-176

## About this paper

##### Publisher Name

Universitatea Babeş-Bolyai, Cluj-Napoca; Cluj University Press, Cluj-Napoca

##### Paper on the journal website

##### Print ISSN

0252-1938

##### Online ISSN

2065-961X

## MR

2661883

## ZBL

1224.76037

## Google scholar

### References

[1] Aung,* Fully developed laminar free convection **between vertical plates heated asymmetrically*, Int. J. Heat Mass Transfer 15 (1972), 1577-1580.

[2] Aung, L.S. Fletcher, V. Sernas, *Developing laminar free convection between vertical flat plates with asymmetric heating*, Int. J. Heat Mass Transfer, 15 (1972), 2293-2308.

[3] Aung, G. Worku,* Developing flow and flow reversal in a vertical channel with asymmetric wall temperatures*, J. Heat Transfer, 108 (1986), 299-304.

[4] Aung, G. Worku, *Theory of fully developed, combined convection including flow reversal*, J. Heat Transfer, 108 (1986), 485-488.

[5] Barletta, *Analysis of combined forced and free flow in a vertical channel with viscous dissipation and isothermal-isoflux boundary conditions*, J. Heat Transfer, 121 (1999), 349-356.

[6] Barletta, *Fully developed mixed convection and flow reversal **in a vertical rectangular duct with uniform wall heat flux*, Int. J. Heat Mass Transfer, 45 (2002), 641-654.

[7] Boulama, N. Galanis, *Analytical solution for fully developed mixed convection between parallel vertical plates with heat and mass transfer*, J. Heat Transfer, 126 (2004), 381-388.

[8] Bejan, *Convection Heat Transfer (2nd edition)*, Wiley, New York (1995).

[9] Barletta, Laminar mixed convection with viscous dissipation in a vertical channel, Int. J. Heat Mass Transfer, 41 (1988), 3501-3513.

[10] Pop, D. B. Ingham, *Convective Heat Transfer: Mathematical and Computational Modeling of Viscous Fluids and Porous Media*, Pergamon, Oxford (2001).

[11] Kohr, I. Pop, *Viscous Incompressible Flow for Low Reynolds Numbers*, WIT Press, Southampton (2004).