Journal
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE
Volume 16, Issue 1, Pages 495-504Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/16583655.2022.2078135
Keywords
Chemical reaction; mass diffusion; Dufour number; Riemann sum; heat source/sink
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This study investigates the impact of diffusion thermo on the transient natural convection flow of a chemically reactive fluid with heat source/sink in a tube. The governing equations are solved analytically using the Laplace transform technique. It is found that the Dufour number increases the Nusselt number and skin friction, and the temperature behavior depends on the size of the Dufour number. This model has applications in pharmaceutical, petroleum, and paint-making industries.
The impact of diffusion thermo on transient natural convection flow of a chemically reactive fluid with heat source/sink in a tube is investigated. The Laplace transform technique enables the governing equations to be solved analytically with the solutions inverted by the Riemann-sum approximation method. Constant values of Prandtl number and Schmidt number of 0.71 and 0.75 are used for the study. A time variable ranging from 0.2 to a steady-state, chemical reaction, and heat source/sink parameters ranging from -0.6-0.6, and the Dufour number ranging from 0-0.8 are used for the study. This study reveals that the Dufour number elevates the Nusselt number and the skin friction. Furthermore, it posits that when the Dufour number is small, the temperature heightens with time, and then switches over to decreasing with time when the Dufour number is large. The present model finds application in the pharmaceutical, petroleum, and paint-making industries, etc.
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