Unsteady Flow of Reactive Viscous, Heat Generating/Absorbing Fluid with Soret and Variable Thermal Conductivity

This study investigates the unsteady natural convection and mass transfer flow of viscous reactive, heat generating/absorbing fluid in a vertical channel formed by two infinite parallel porous plates having temperature dependent thermal conductivity. The motion of the fluid is induced due to natural...

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Main Authors: I. J. Uwanta, M. M. Hamza
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:International Journal of Chemical Engineering
Online Access:http://dx.doi.org/10.1155/2014/291857
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author I. J. Uwanta
M. M. Hamza
author_facet I. J. Uwanta
M. M. Hamza
author_sort I. J. Uwanta
collection DOAJ
description This study investigates the unsteady natural convection and mass transfer flow of viscous reactive, heat generating/absorbing fluid in a vertical channel formed by two infinite parallel porous plates having temperature dependent thermal conductivity. The motion of the fluid is induced due to natural convection caused by the reactive property as well as the heat generating/absorbing nature of the fluid. The solutions for unsteady state temperature, concentration, and velocity fields are obtained using semi-implicit finite difference schemes. Perturbation techniques are used to get steady state expressions of velocity, concentration, temperature, skin friction, Nusselt number, and Sherwood number. The effects of various flow parameters such as suction/injection (γ), heat source/sinks (S), Soret number (Sr), variable thermal conductivity δ, Frank-Kamenetskii parameter λ, Prandtl number (Pr), and nondimensional time t on the dynamics are analyzed. The skin friction, heat transfer coefficients, and Sherwood number are graphically presented for a range of values of the said parameters.
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institution Kabale University
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series International Journal of Chemical Engineering
spelling doaj-art-027b7ba5bb6e407aa8ae9f762529151f2025-02-03T06:00:12ZengWileyInternational Journal of Chemical Engineering1687-806X1687-80782014-01-01201410.1155/2014/291857291857Unsteady Flow of Reactive Viscous, Heat Generating/Absorbing Fluid with Soret and Variable Thermal ConductivityI. J. Uwanta0M. M. Hamza1Department of Mathematics, Usmanu Danfodiyo University, PMB 2346, Sokoto, NigeriaDepartment of Mathematics, Usmanu Danfodiyo University, PMB 2346, Sokoto, NigeriaThis study investigates the unsteady natural convection and mass transfer flow of viscous reactive, heat generating/absorbing fluid in a vertical channel formed by two infinite parallel porous plates having temperature dependent thermal conductivity. The motion of the fluid is induced due to natural convection caused by the reactive property as well as the heat generating/absorbing nature of the fluid. The solutions for unsteady state temperature, concentration, and velocity fields are obtained using semi-implicit finite difference schemes. Perturbation techniques are used to get steady state expressions of velocity, concentration, temperature, skin friction, Nusselt number, and Sherwood number. The effects of various flow parameters such as suction/injection (γ), heat source/sinks (S), Soret number (Sr), variable thermal conductivity δ, Frank-Kamenetskii parameter λ, Prandtl number (Pr), and nondimensional time t on the dynamics are analyzed. The skin friction, heat transfer coefficients, and Sherwood number are graphically presented for a range of values of the said parameters.http://dx.doi.org/10.1155/2014/291857
spellingShingle I. J. Uwanta
M. M. Hamza
Unsteady Flow of Reactive Viscous, Heat Generating/Absorbing Fluid with Soret and Variable Thermal Conductivity
International Journal of Chemical Engineering
title Unsteady Flow of Reactive Viscous, Heat Generating/Absorbing Fluid with Soret and Variable Thermal Conductivity
title_full Unsteady Flow of Reactive Viscous, Heat Generating/Absorbing Fluid with Soret and Variable Thermal Conductivity
title_fullStr Unsteady Flow of Reactive Viscous, Heat Generating/Absorbing Fluid with Soret and Variable Thermal Conductivity
title_full_unstemmed Unsteady Flow of Reactive Viscous, Heat Generating/Absorbing Fluid with Soret and Variable Thermal Conductivity
title_short Unsteady Flow of Reactive Viscous, Heat Generating/Absorbing Fluid with Soret and Variable Thermal Conductivity
title_sort unsteady flow of reactive viscous heat generating absorbing fluid with soret and variable thermal conductivity
url http://dx.doi.org/10.1155/2014/291857
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