scholarly journals Effect of Suction/Injection on Unsteady Hydromagnetic Convective Flow of Reactive Viscous Fluid between Vertical Porous Plates with Thermal Diffusion

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
I. J. Uwanta ◽  
M. M. Hamza
Keyword(s):  
Natural Convection ◽  
Thermal Diffusion ◽  
Convective Flow ◽  
Perturbation Series ◽  
Convection Flow ◽  
Series Method ◽  
Natural Convection Flow ◽  
Implicit Finite Difference Scheme ◽  
Exothermic Chemical Reaction ◽  
Implicit Finite Difference

An investigation is performed to study the effect of suction/injection on unsteady hydromagnetic natural convection flow of viscous reactive fluid between two vertical porous plates in the presence of thermal diffusion. The partial differential equations governing the flow have been solved numerically using semi-implicit finite-difference scheme. For steady case, analytical solutions have been derived using perturbation series method. Suction/injection is used to control the fluid flow in the channel, and an exothermic chemical reaction of Arrhenius kinetic is considered. Numerical results are presented graphically and discussed quantitatively with respect to various parameters embedded in the problem.

Impact of Viscous Dissipation on Fully Developed Natural Convection Flow in a Vertical Microchannel

2018 ◽  
Vol 140 (9) ◽  
Author(s):  
Basant K. Jha ◽  
Babatunde Aina
Keyword(s):  
Natural Convection ◽  
Viscous Dissipation ◽  
Velocity Slip ◽  
Coupled System ◽  
Perturbation Series ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Flow Formation ◽  
Wall Interaction ◽  
Energy Equations

In this research paper, fully developed natural convection flow in a vertical parallel plate's micro-channel in the presence of viscous dissipation is theoretically examined by using a perturbation series method. The effects of velocity slip and temperature jump are taken to consideration. Due to the presence of viscous dissipation, the momentum and energy equations are coupled system of ordinary differential equations. The influences of Knudsen number, fluid wall interaction parameter, and viscous dissipation on the flow formation and heat transfer aspects are demonstrated through graphs and tables. This result indicates that increasing the value of rarefaction parameter decreases the effect of viscous dissipation on the Nusselt number. Furthermore, it is found that the effects of rarefaction parameter as well as buoyancy parameter on temperature and velocity are significantly pronounced in the case of symmetric heating

Numerical Solutions of Natural Convection Flow of a Dusty Nanofluid About a Vertical Wavy Truncated Cone

2016 ◽  
Vol 139 (2) ◽  
Author(s):  
Sadia Siddiqa ◽  
Naheed Begum ◽  
M. A. Hossain ◽  
Rama Subba Reddy Gorla
Keyword(s):  
Natural Convection ◽  
Mass Transport ◽  
Numerical Solutions ◽  
Convection Flow ◽  
Governing Equations ◽  
Natural Convection Flow ◽  
Two Phase ◽  
Heat And Mass Transport ◽  
Implicit Finite Difference ◽  
Control Skin

This paper reports the numerical results for the natural convection flow of a two-phase dusty nanofluid along a vertical wavy frustum of a cone. The general governing equations are transformed into parabolic partial differential equations, which are then solved numerically with the help of implicit finite difference method. Comprehensive flow formations of carrier and dusty phases are given with the aim to predict the behavior of heat and mass transport across the heated wavy frustum of a cone. The effectiveness of utilizing the nanofluids to control skin friction and heat and mass transport is analyzed. The results clearly show that the shape of the waviness changes when nanofluid is considered. It is shown that the modified diffusivity ratio parameter, NA, extensively promotes rate of mass transfer near the vicinity of the cone, whereas heat transfer rate reduces.

The Transient Development of Natural Convective Flow Due to Liquid Evaporation Within a Vertical, Open Cylindrical Enclosure

2002 ◽  
Author(s):  
R. M. Bunama ◽  
G. A. Karim
Keyword(s):  
Natural Convection ◽  
Convective Flow ◽  
Transport Processes ◽  
Momentum Transport ◽  
Transient Temperature ◽  
Flow Density ◽  
Convection Flow ◽  
Concentration Gradients ◽  
Natural Convection Flow ◽  
Liquid Evaporation

Composition and temperature induced natural convection within an open topped vertical circular enclosure has been numerically investigated. A theoretical model that describes the mass, heat and momentum transport processes in a 2-dimensional axisymmetric domain is presented. The model included consideration of the transient development of natural convection flow, density and thermophysical property variations. The results presented are for a n-Pentane liquid vapor diffusing into Air. A description of the transient temperature and concentration gradients development is given along with their effects on the flow field progression.

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