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Research Papers: Natural and Mixed Convection

# Diffusion-Thermo Effects on Free Convective Heat and Mass Transfer Flow in a Vertical Channel With Symmetric Boundary Conditions

[+] Author and Article Information
Basant K. Jha

Department of Mathematics, Ahmadu Bello University, Zaria 234, Nigeriabasant777@yahoo.co.uk

J. Heat Transfer 133(5), 052502 (Feb 04, 2011) (8 pages) doi:10.1115/1.4003240 History: Received August 07, 2009; Revised December 10, 2010; Published February 04, 2011; Online February 04, 2011

## Abstract

This article investigates the influence of diffusion-thermo effect on transient free convective heat and mass transfer flow in a channel bounded by two infinite vertical parallel plates. Fully developed laminar flow is considered when the boundaries are subjected to symmetric concentration and thermal input. The Dufour effect is taken into consideration. The velocity, temperature, and concentration profiles are obtained analytically using the Laplace transforms technique and used to compute the shear stress, Nusselt number, and mass flux. During the course of computation, it was found that transient solution at large time coincides with steady-state solution derived separately. Diffusion-thermo (Dufour effect) is observed to create an anomalous situation in temperature and velocity profiles for small Prandtl numbers. There is also flow reversal for a small Dufour number and negative values of the sustentation parameter $(N)$. At steady-state, there is neither heat nor mass transfer between the fluid and the plates.

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## Figures

Figure 4

Temperature distribution (Sc=0.6, t=0.6, and y=0.5)

Figure 5

Velocity profiles (D∗=4, Pr=0.71, and Sc=0.6)

Figure 6

Velocity profiles (N=2, D∗=3, y=0.0, and t=0.6)

Figure 7

Velocity profiles (N=20, y=0.0, Sc=0.6, and t=1.0)

Figure 1

Flow configuration and coordinates system

Figure 2

Temperature distribution (D∗=4, Pr=0.71, and Sc=0.6)

Figure 3

Temperature distribution (D∗=3, y=0.6, and t=0.6)

Figure 8

Velocity profiles (y=0.2, Pr=0.71, Sc=0.6, and t=0.2)

Figure 9

Velocity profiles for different sc (D∗=4, y=0.1, Pr=0.71, and t=0.4)

Figure 10

Influence of D∗ and Sc on Nusselt number

Figure 11

Influence of Pr and Sc on the Nusselt number

Figure 12

Influence of Sc and Pr on the skin-friction on the walls

Figure 13

Influence of Sc and D∗ on the skin-friction on the walls

Figure 14

Influence of the sustentation parameter on the skin-friction

Figure 15

Mass flux for different flow parameters

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