Combined effect of variable viscosity and thermal conductivity on mixed convection flow of a viscous fluid in a vertical channel in the presence of first order chemical reaction

J. C. Umavathi, M. A. Sheremet, Syed Mohiuddin

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

An analysis has been carried out to obtain the flow, heat and mass transfer characteristics of a viscous fluid having temperature dependent viscosity and thermal conductivity in a vertical channel. The energy equation accounts for viscous dissipation, while the first order homogeneous chemical reaction between the fluid and diffusing species is included in the mass diffusion equation. The walls of the channel are maintained at constant but different temperatures. The non-dimensional coupled nonlinear ordinary differential equations are solved analytically using perturbation method and numerically using Runge-Kutta shooting method. The velocity, temperature and concentration distributions are obtained numerically and presented through graphs. Skin friction coefficient and Nusselt number at the walls of the channel are derived and discussed and their numerical values for various values of physical parameters are presented through tables.

Original languageEnglish
Pages (from-to)98-108
Number of pages11
JournalEuropean Journal of Mechanics, B/Fluids
Volume58
DOIs
Publication statusPublished - 1 Jul 2016

Fingerprint

Variable Viscosity
Mixed Convection
viscous fluids
Thermal Conductivity
Chemical Reaction
Viscous Fluid
chemical reactions
convection
thermal conductivity
Vertical
Temperature-dependent Viscosity
viscosity
First-order
Viscous Dissipation
conductivity
Shooting Method
Skin Friction
Heat and Mass Transfer
Nusselt number
Friction Coefficient

Keywords

  • Mixed convection
  • Variable thermal conductivity
  • Variable viscosity
  • Viscous dissipation

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

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abstract = "An analysis has been carried out to obtain the flow, heat and mass transfer characteristics of a viscous fluid having temperature dependent viscosity and thermal conductivity in a vertical channel. The energy equation accounts for viscous dissipation, while the first order homogeneous chemical reaction between the fluid and diffusing species is included in the mass diffusion equation. The walls of the channel are maintained at constant but different temperatures. The non-dimensional coupled nonlinear ordinary differential equations are solved analytically using perturbation method and numerically using Runge-Kutta shooting method. The velocity, temperature and concentration distributions are obtained numerically and presented through graphs. Skin friction coefficient and Nusselt number at the walls of the channel are derived and discussed and their numerical values for various values of physical parameters are presented through tables.",
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T1 - Combined effect of variable viscosity and thermal conductivity on mixed convection flow of a viscous fluid in a vertical channel in the presence of first order chemical reaction

AU - Umavathi, J. C.

AU - Sheremet, M. A.

AU - Mohiuddin, Syed

PY - 2016/7/1

Y1 - 2016/7/1

N2 - An analysis has been carried out to obtain the flow, heat and mass transfer characteristics of a viscous fluid having temperature dependent viscosity and thermal conductivity in a vertical channel. The energy equation accounts for viscous dissipation, while the first order homogeneous chemical reaction between the fluid and diffusing species is included in the mass diffusion equation. The walls of the channel are maintained at constant but different temperatures. The non-dimensional coupled nonlinear ordinary differential equations are solved analytically using perturbation method and numerically using Runge-Kutta shooting method. The velocity, temperature and concentration distributions are obtained numerically and presented through graphs. Skin friction coefficient and Nusselt number at the walls of the channel are derived and discussed and their numerical values for various values of physical parameters are presented through tables.

AB - An analysis has been carried out to obtain the flow, heat and mass transfer characteristics of a viscous fluid having temperature dependent viscosity and thermal conductivity in a vertical channel. The energy equation accounts for viscous dissipation, while the first order homogeneous chemical reaction between the fluid and diffusing species is included in the mass diffusion equation. The walls of the channel are maintained at constant but different temperatures. The non-dimensional coupled nonlinear ordinary differential equations are solved analytically using perturbation method and numerically using Runge-Kutta shooting method. The velocity, temperature and concentration distributions are obtained numerically and presented through graphs. Skin friction coefficient and Nusselt number at the walls of the channel are derived and discussed and their numerical values for various values of physical parameters are presented through tables.

KW - Mixed convection

KW - Variable thermal conductivity

KW - Variable viscosity

KW - Viscous dissipation

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