Analytical Solution for Fully Developed Mixed Convection Between Parallel Vertical Plates With Heat and Mass Transfer

2004 ◽  
Vol 126 (3) ◽  
pp. 381-388 ◽  
Author(s):  
Kiari Boulama ◽  
Nicolas Galanis
Keyword(s):  
Mass Transfer ◽  
Reynolds Number ◽  
Mixed Convection ◽  
Heat And Mass Transfer ◽  
Flux Ratio ◽  
Parallel Plates ◽  
Grashof Number ◽  
Thermal Boundary Conditions ◽  
Laminar Mixed Convection ◽  
Independent Parameters

Exact analytical solutions for fully-developed, steady-state laminar mixed convection with heat and mass transfer between vertical parallel plates are presented. The thermal boundary conditions are UWT or UHF while the concentration at each wall is assumed to be uniform but not necessarily the same. The solution for the UWT case depends on a single parameter which combines the effects of thermal and solutal buoyancy. In the UHF case it depends on three independent parameters, the ratio of the thermal Grashof number to the Reynolds number, the ratio of the solutal Grashof number to the Reynolds number, and the wall heat flux ratio.

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

2016 ◽  
Vol 138 (9) ◽  
Author(s):  
A. Budabous ◽  
A. A. Busedra
Keyword(s):  
Mass Transfer ◽  
Mixed Convection ◽  
Heat And Mass Transfer ◽  
Convection Boundary Layer ◽  
Input Concentration ◽  
Transfer Rates ◽  
Thermal Boundary Conditions ◽  
Laminar Mixed Convection ◽  
Boundary Layer Development ◽  
Semicircular Ducts

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.

Transport Phenomena of Developing Laminar Mixed Convection in Inclined Rectangular Ducts With Wall Transpiration

2001 ◽  
Vol 123 (4) ◽  
pp. 810-814 ◽  
Author(s):  
Wei-Mon Yan ◽  
Pei-Yuan Tzeng
Keyword(s):  
Heat Transfer ◽  
Reynolds Number ◽  
Mixed Convection ◽  
Convection Heat Transfer ◽  
Laminar Mixed Convection ◽  
Considerable Impact ◽  
Mixed Convection Heat Transfer ◽  
Wall Injection ◽  
Suction Flow ◽  
Independent Parameters

A numerical calculation has been carried out to investigate the mixed convection heat transfer in inclined rectangular ducts with wall transpiration. The vorticity-velocity method is employed to solve the governing equations. The present paper particularly addresses the effects of the independent parameters, namely, mixed convection parameter Δ, modified Rayleigh number Ra*, wall Reynolds number Rew and aspect ratio γ. The predicted results show that either wall injection or wall suction has a considerable impact on the flow structure and heat transfer performance. Additionally, it was found that for injection case Rew<0, the Nusselt number Nu is retarded with an increase in the wall Reynolds number Rew, but the trend is reverse for the suction flow Rew>0.

scholarly journals Soret and Dufour effects on mixed convection in a non-Darcy porous medium saturated with micropolar fluid

2011 ◽  
Vol 16 (1) ◽  
pp. 100-115 ◽  
Author(s):  
D. Srinivasacharya ◽  
Ch. RamReddy
Keyword(s):  
Mass Transfer ◽  
Porous Medium ◽  
Differential Equations ◽  
Mixed Convection ◽  
Heat And Mass Transfer ◽  
Micropolar Fluid ◽  
Local Similarity ◽  
Soret And Dufour Effects ◽  
Local Skin ◽  
Laminar Mixed Convection

In this paper, the Soret and Dufour effects on the steady, laminar mixed convection heat and mass transfer along a semi-infinite vertical plate embedded in a non-Darcy porous medium saturated with micropolar fluid are studied. The governing partial differential equations are transformed into ordinary differential equations. The local similarity solutions of the transformed dimensionless equations for the flow, microrotation, heat and mass transfer characteristics are evaluated using Keller-box method. Numerical results are presented in the form of velocity, microrotation, temperature and concentration profiles within the boundary layer for different parameters entering into the analysis. Also the effects of the pertinent parameters on the local skin friction coefficient and rates of heat and mass transfer in terms of the local Nusselt and Sherwood numbers are also discussed.

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