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Research Papers: SPECIAL SECTION PAPERS

# Combined Buoyancy Effects of Thermal and Mass Diffusion on Laminar Mixed Convection in Vertical and Horizontal Semicircular Ducts

[+] Author and Article Information
A. Budabous

Department of Mechanical Engineering,
University of Benghazi,
Benghazi, Libya
e-mail: abudabous@yahoo.com

A. A. Busedra

Department of Mechanical Engineering,
University of Benghazi,
Benghazi, Libya
e-mail: abdulkarim.busedra@uob.edu.ly

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received September 9, 2014; final manuscript received March 10, 2016; published online June 1, 2016. Assoc. Editor: Ziad Saghir.

J. Heat Transfer 138(9), 091007 (Jun 01, 2016) (11 pages) Paper No: HT-14-1605; doi: 10.1115/1.4033006 History: Received September 09, 2014; Revised March 10, 2016

## Abstract

The development of laminar mixed convection with heat and mass transfer in vertical and horizontal semicircular ducts has been investigated for the case of thermal boundary conditions of uniform heat input, concentration at the fluid–solid interface axially, and uniform peripheral wall temperature at any axial station. The governing equations were solved numerically over the following conditions: Pr = 0.7, Le = 1, Re = 500, $Grt$ = 1.66 × 105, and $Grc$ = 1.66 × 105. The combined effects of solutal and thermal Grashof numbers on the flow and thermal fields were observed in terms of the axial velocity, temperature, and concentration distributions, as well as, friction factor, Nusselt number, and Sherwood number. Further, the development of velocity, temperature, and concentration at different axial stations was found to be influenced by the solutal and thermal Grashof numbers. The results also showed that the forced-convection boundary layer development dominates very close to the duct inlet, while further downstream, the heat and mass transfer rates are enhanced due to the effect of solutal buoyancy.

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## References

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## Figures

Fig. 1

Geometry and coordinate system of the semicircular duct

Fig. 2

Comparison of developing and fully developed fRe and  Nu with El-Hasadi et al. [24]

Fig. 3

Development of the axial velocity profile for α = 90 deg

Fig. 4

Development of the temperature profile for α = 90 deg

Fig. 5

Development of the concentration profile for α = 90 deg

Fig. 6

Axial variation of Nu for α = 90 deg

Fig. 7

Axial variation of Sh for α = 90 deg

Fig. 8

Axial variation of fRe for α = 90 deg

Fig. 9

Development of the axial velocity profile for α = 0

Fig. 10

Development of the temperature profile for α = 0

Fig. 11

Development of the concentration profile for α = 0

Fig. 12

Axial variation of Nu for α = 0

Fig. 13

Axial variation of Sh for α = 0

Fig. 14

Axial variation of fRe for α = 0

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