Mixed Convection in a Vertical Parallel Plate Microchannel

Avcı, Mete; Aydın, Orhan

doi:10.1115/1.2422741

Cited by 62 publications

(41 citation statements)

References 20 publications

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“…In the present study, the usual continuum approach is applied by the continuum equations with the two main characteristics of the microscale phenomena, the velocity slip and the temperature jump. The velocity slip is defined as [22] …”

Section: Mathematical Analysismentioning

confidence: 99%

“…where s u is the slip velocity,  is the molecular mean free path and v  is the tangential momentum accommodation coefficient, and the temperature jump is defined as [22] Pr…”

Section: Mathematical Analysismentioning

confidence: 99%

“…However, for air, it assumes typical values near unity [22]. For the rest of the analysis, v  and t  will be assumed to be 1.…”

Section: Mathematical Analysismentioning

confidence: 99%

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Effect of Induced Magnetic Field on MHD Mixed Convection Flow in Vertical Microchannel

Jha

Aina

2017

International Journal of Applied Mechanics and Engineering

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The present work presents a theoretical investigation of an MHD mixed convection flow in a vertical microchannel formed by two electrically non-conducting infinite vertical parallel plates. The influence of an induced magnetic field arising due to motion of an electrically conducting fluid is taken into consideration. The governing equations of the motion are a set of simultaneous ordinary differential equations and their exact solutions in dimensionless form have been obtained for the velocity field, the induced magnetic field and the temperature field. The expressions for the induced current density and skin friction have also been obtained. The effects of various non-dimensional parameters such as rarefaction, fluid wall interaction, the Hartmann number and the magnetic Prandtl number on the velocity, the induced magnetic field, the temperature, the induced current density, and skin friction have been presented in a graphical form. It is found that the effect of the Hartmann number and magnetic Prandtl number on the induced current density is found to have a decreasing nature at the central region of the microchannel.

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Section: Mathematical Analysismentioning

confidence: 99%

“…where s u is the slip velocity,  is the molecular mean free path and v  is the tangential momentum accommodation coefficient, and the temperature jump is defined as [22] Pr…”

Section: Mathematical Analysismentioning

confidence: 99%

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Effect of Induced Magnetic Field on MHD Mixed Convection Flow in Vertical Microchannel

Jha

Aina

2017

International Journal of Applied Mechanics and Engineering

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“…Mixed convection is a flow under the influence of thermal buoyancy and pressure gradient. Works on mixed convective flow in vertical channel or micro-channel geometry include the work of Avci and Aydin [18,19] in which exact solutions for fully developed mixed convection in a vertical parallel-plate micro-channel with constant plate temperature and constant heat flux on the plates respectively were studied. In another work, Avci and Aydin [20] conducted a theoretical investigation on the fully developed mixed convective heat transfer of a Newtonian fluid in a vertical micro-annulus formed by two concentric micro-tubes.…”

Section: Introductionmentioning

confidence: 99%

Role of suction/injection on steady fully developed mixed convection flow in a vertical parallel plate microchannel

Jha

Aina

2018

Ain Shams Engineering Journal

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This paper examined the hydrodynamic and thermal behaviour of steady fully developed mixed convection flow in a vertical parallel-plate micro-porous-channel (MPC) in the presence of suction/injection with velocity slip and temperature jump at the boundaries. The exact solutions of the energy and momentum equations are obtained. The influence of each governing parameter on dimensionless velocity, temperature, volume flow rate, rate of heat transfer and skin friction at the micro-porous-channel surfaces is discussed. During the course of numerical computation, it is observed that as suction/injection at the micro-porous-channel surfaces increases, the volume flow rate increases while rate of heat transfer decreases. Furthermore, it is found that the probability of reverse flow formation decreases at cold wall of the micro-porous-channel as Knudsen number or fluid-wall interaction parameter increases. Ó 2016 Faculty of Engineering, Ain Shams University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

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“…Mahmud and Fraser [15] studied Entropy generation in mixed convection-radiation interaction in a vertical porous channel. Avci and Aydin [16] investigated mixed convection flow in a vertical microchannel considering asymmetric but isothermal heating of the channel plates. In a related work, Avci and Aydin [17] investigated a similar problem in which the energy within the system is due to asymmetric heat fluxes on the boundaries.…”

Section: Introductionmentioning

confidence: 99%

Entropy generation and irreversibility analysis due to steady mixed convection flow in a vertical porous channel

Ajibade¹,

Onoja²

2017

IJHT

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Entropy generation and irreversibility distribution due to steady mixed convection flow of a viscous incompressible fluid between two vertical parallel porous plates is investigated in the present study. The mathematical model capturing this physical situation was formulated considering internal heat generation and viscous dissipation within the channel. Combining the viscous dissipation effect with mixed convection lead to nonlinearity of the energy equation as well as coupling of the energy with the momentum equations. Due to the coupling and nonlinearity associated with the energy and momentum equations, obtaining a closed form solution becomes practically infeasible; therefore approximate solutions to the governing equations are obtained using the Homotopy Perturbation Method (HPM). The impacts of the several governing parameters on the velocity, temperature, the entropy generation number including the irreversibility distribution ratio were investigated and discussed. From the course of investigation, it was revealed that entropy generation number decreases near the centre line of the channel and higher near the porous plates. It is also discovered that fluid friction irreversibility dominates entropy generation towards the channels porous walls while heat transfer irreversibility dominates towards the centerline of the channel.

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Mixed Convection in a Vertical Parallel Plate Microchannel

Cited by 62 publications

References 20 publications

Effect of Induced Magnetic Field on MHD Mixed Convection Flow in Vertical Microchannel

Effect of Induced Magnetic Field on MHD Mixed Convection Flow in Vertical Microchannel

Role of suction/injection on steady fully developed mixed convection flow in a vertical parallel plate microchannel

Entropy generation and irreversibility analysis due to steady mixed convection flow in a vertical porous channel

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