Fluid Flow and Heat Transfer Simulation in a Constricted Microchannel: Effects of Rarefaction, Geometry, and Viscous Dissipation

Bigham, Sajjad; Shokouhmand, Hossein; Isfahani, Rasool Nasr; Yazdani, Sajad

doi:10.1080/10407782.2011.541203

Cited by 24 publications

(5 citation statements)

References 15 publications

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“…Flow is modeled as "Boussinesq incompressible" to take coupling between energy and momentum equations into account. The nondimensional governing equations including continuity, momentum, and energy in a general nonorthogonal curvilinear coordinate framework with (ξ, η) as the independent variables can be expressed as follows [22,23]: …”

Section: Governing Equationmentioning

confidence: 99%

A Numerical Study on Natural Convention Heat Transfer From a Horizontal Isothermal Cylinder Located Underneath an Adiabatic Ceiling

Ashjaee

Bigham

Yazdani

2013

Heat Transfer Engineering

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A numerical analysis is performed for steady-state and two-dimensional natural convection heat transfer from a horizontal isothermal cylinder located underneath a horizontal adiabatic ceiling. The finite-volume method based on the SIMPLE algorithm and a nonorthogonal grid discretization scheme are used to solve the continuity, momentum, and energy equations for the Rayleigh numbers in the range from 10 −1 to 10 4 . The Poisson equations are solved to find the grid points, which are distributed in a nonuniform manner with higher concentration close to the solid regions. In addition, the HYBRID differencing scheme is used for the approximation of the convective terms in the curvilinear coordinate. The effects of the Rayleigh numbers and cylinder spacing from the adiabatic ceiling on both the local and average Nusselt numbers around the cylinder are investigated. Numerical results are performed for the plate-to-cylinder spacing ranging from 0.1 to 1.4.

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Section: Governing Equationmentioning

confidence: 99%

A Numerical Study on Natural Convention Heat Transfer From a Horizontal Isothermal Cylinder Located Underneath an Adiabatic Ceiling

Ashjaee

Bigham

Yazdani

2013

Heat Transfer Engineering

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“…30 Yet, numerous researches have been reported considering velocity slip boundary condition on walls, especially for micron-sized particles in rarefied gas flows. [30][31][32][33][34][35][36][37] It has been postulated by Navier in 1827 38 that the slip velocity, tangent to a wall, is proportional to the tangential wall shear rate as follows…”

Section: Governing Equationsmentioning

confidence: 99%

A numerical study on drag reduction of underwater vehicles using hydrophobic surfaces

Anbarsooz

2017

Proceedings of the Institution of Mechanical Engineers, Part M:

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During last decades, many investigations have been done to find suitable solutions to reduce the drag force of underwater vehicles. These attempts can be divided into two main categories: supercavitating vehicles and unseparated flow patterns. In this study, a novel approach is introduced which uses hydrophobic surfaces for an underwater vehicle with an unseparated flow body profile. Fluid slippage on hydrophobic walls can lead to a considerable reduction of skin friction drag. The effectiveness of this approach for underwater hulls has been examined numerically. In this regard, first, the numerical procedure is validated by comparing the numerical results for the slip flow over a micron-sized spherical particle with the analytical results available in the literature. Next, numerical simulations are performed for an unseparated flow profile at various values of the sliding coefficients. Results show that the principal drag of such profiles is the skin friction drag which can be drastically reduced using hydrophobic surfaces. For the sliding coefficients smaller than 10, the drag coefficient of the underwater vehicle with an unseparated flow profile can be even lower than that of a supercavitating hull.

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“…Their study has been used as a reference work in this paper. Bigham et al have numerically investigated the combined effects of rarefaction, creeping flow and viscous dissipation on hydrodynamic and thermal characteristics of a symmetric constricted microchannel. Shokouhmand et al have studied the effect of thermal dispersion in a microtube filled with porous medium.…”

Section: Introductionmentioning

confidence: 99%

Prediction of flow and heat transfer through a microtube filled with bidisperse porous medium under local thermal nonequilibrium condition

et al. 2020

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In this paper, the thermal and hydrodynamic solutions of a microtube filled with bidisperse porous medium (BDPM) under the local thermal nonequilibrium (LTNE) condition are presented. Considering the LTNE condition, the energy equations have been numerically solved. The rarefaction effects are considered for Knudsen numbers ranging from 0 to 0.1; therefore, first-order boundary condition is applied on the wall. The temperature distribution of each phase is examined with respect to the involved parameters in the BDPM system. For the first time, the Nusselt number ratio (NRDP) is introduced to study the influence of Darcy number on the Nusselt number more precisely. Also, the effect of different thermophysical parameters on the Nusselt number is studied. The advantage of BDPM system over monodisperse porous medium (MDPM) structure is examined through the heat transfer performance parameter. The findings exhibit a good agreement with the literature. Also, the LTNE condition produces more realistic results in comparison to local thermal equilibrium assumption. On the whole, although implementing the BDPM enhances the heat transfer rate compared with the MDPM, it does not improve the thermal hydrodynamic performance significantly. K E Y W O R D S bidisperse porous medium, forced convective heat transfer, local thermal nonequilibrium, microtube, rarefaction effect

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Fluid Flow and Heat Transfer Simulation in a Constricted Microchannel: Effects of Rarefaction, Geometry, and Viscous Dissipation

Cited by 24 publications

References 15 publications

A Numerical Study on Natural Convention Heat Transfer From a Horizontal Isothermal Cylinder Located Underneath an Adiabatic Ceiling

A Numerical Study on Natural Convention Heat Transfer From a Horizontal Isothermal Cylinder Located Underneath an Adiabatic Ceiling

A numerical study on drag reduction of underwater vehicles using hydrophobic surfaces

Prediction of flow and heat transfer through a microtube filled with bidisperse porous medium under local thermal nonequilibrium condition

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