A Numerical Method for Simulation of Incompressible Three-Dimensional Newtonian and Non-Newtonian Flows

Zdanski, P. S. B.; Vaz, M.

doi:10.1080/10407790.2011.572727

Cited by 8 publications

(3 citation statements)

References 26 publications

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“…The solution procedure follows a pseudo-transient march in time, aiming at the steady-state solution. The present work constitututes an extension of the author's methodology (Zdanski et al, 2004;Zdanski et al, 2008;Zdanski and Vaz Jr., 2011) for solving turbulent flows of binary mixtures. The main general steps of the present scheme are given in sequence.…”

Section: Numerical Methodologymentioning

confidence: 99%

“…The numerical scheme applied by the authors was originally proposed for solving turbulent Newtonian flows (Zdanski et al 2004). The present methodology was also applied successfully to solve non-Newtonian polymer melt flows inside channels (Zdanski et al, 2008;Zdanski and Vaz Jr., 2011). Therefore, the present work performs an extension of the author's methodology for solving turbulent flows of binary mixtures, including the solution of the concentration equation.…”

Section: Introductionmentioning

confidence: 99%

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Numerical Simulation of the Incompressible Turbulent Flow of a Binary Mixture of Air-Water Vapor: Applications in Drying Process

Zdanski

Silva²

2016

Braz. J. Chem. Eng.

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-The present work deals with numerical simulation of the incompressible turbulent flow of a binary mixture air-water vapor inside channels. Calculations are performed using the RANS (Reynolds Average Navier-Stokes Equations) formulation in addition to the standart k-ε turbulence model. The mathematical model is discretized by a finite difference scheme, being adopted second order accurate expressions for both convection and diffusion terms. The mesh arrangement is collocated and artificial dissipation terms are added to control the odd-even decoupling problem. The numerical scheme is applied to solve the flow of a binary mixture of air-water vapor inside plane channels and sudden expansions. The validation performed indicates that the present method reproduces satisfactorily the literature data for both concentration profiles and Sherwood number. Furthermore, the parametric analysis performed indicates that the drying process (wall mass flux) is very sensitive to the flow parameters investigated, i.e., inlet flow velocity and channel expansion ratio.

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Section: Numerical Methodologymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of the Incompressible Turbulent Flow of a Binary Mixture of Air-Water Vapor: Applications in Drying Process

Zdanski

Silva²

2016

Braz. J. Chem. Eng.

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“…Zdanski and Vaz [33] have implemented a secondorder finite difference scheme to simulate a flow problem of incompressible 3D viscous fluid flow in a channel. Abbasi et al [34] have numerically analyzed the impacts of hydrodynamic forces over a cylinder-based Lattice Boltzmann Method (LBM) at low Reynolds number.…”

Section: Introductionmentioning

confidence: 99%

Topological Characteristics of Obstacles and Nonlinear Rheological Fluid Flow in Presence of Insulated Fins: A Fluid Force Reduction Study

Majeed

Jarad

Rasheed

et al. 2021

Mathematical Problems in Engineering

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In this work, a comprehensive study of fluid forces and thermal analysis of two-dimensional, laminar, and incompressible complex (power law, Bingham, and Herschel–Bulkley) fluid flow over a topological cross-sectional cylinder (square, hexagon, and circle) in channel have been computationally done by using finite element technique. The characteristics of nonlinear flow for varying ranges of power law index 0.4 ≤ n ≤ 1.6 , Bingham number 0 ≤ Bn ≤ 50 , Prandtl number 0.7 ≤ Pr ≤ 10 , Reynolds number 10 ≤ Re ≤ 50 , and Grashof number 1 ≤ Gr ≤ 10 have been examined. Considerable evaluation for thermal flow field in the form of dimensionless velocity profile, isotherms, drag and lift coefficients, and average Nusselt number Nu avg is done. Also, for a range of Bn , the drag forces reduction is observed for circular and hexagonal obstacles in comparison with the square cylinder. At Bn = 0 corresponding to Newtonian fluid, maximum reduction in drag force is reported.

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Effects of fluid inertia and elasticity and expansion angles on recirculation and thermal regions of viscoelastic flow in the symmetric planar gradual expansions

Shahbani-Zahiri

Shahmardan

Norouzi

2018

J Braz. Soc. Mech. Sci. Eng.

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The formation and growth of symmetric and asymmetric recirculation regions play an important role in the viscous dissipations, temperature distribution, and heat transfer rate. In this study, the inertial and non-isothermal flow of viscoelastic fluid has been simulated in the planar channel with a 1:3 symmetric gradual expansion for different Reynolds and elasticity numbers at three expansion angles of 30°, 45°, and 60°. Also, the thermal boundary condition of constant temperature has been used on the walls, and the constitutive equation of exponential Phan Thien-Tanner has been employed for modeling the polymeric stresses of the viscoelastic fluid. Due to the significant effect of temperature on the properties of the viscoelastic fluid, and the role of viscous dissipation in heat generation, the fluid properties are considered temperature dependent, and the terms of viscous dissipation are considered in the energy equation. The main purpose of current study is to investigate the effects of fluid inertia and elasticity and the expansion angles on the flow pattern, heat transfer characteristics, and viscous dissipation of inertial viscoelastic flow in the planar channel with gradual expansions. Therefore, the streamlines, length of vortices, isothermal lines, total viscous dissipations, and local and mean Nusselt numbers (Nu) have been examined inside the channel expansion for different Reynolds and elasticity numbers in the range of 10 ≤ Re ≤ 100 and 0.01 ≤ El ≤ 2. The results show that the maximum values of local Nusselt numbers are enhanced by increasing the Reynolds and elasticity numbers and the expansion angle for the hydrodynamically and thermally developing conditions.

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A Numerical Method for Simulation of Incompressible Three-Dimensional Newtonian and Non-Newtonian Flows

Cited by 8 publications

References 26 publications

Numerical Simulation of the Incompressible Turbulent Flow of a Binary Mixture of Air-Water Vapor: Applications in Drying Process

Numerical Simulation of the Incompressible Turbulent Flow of a Binary Mixture of Air-Water Vapor: Applications in Drying Process

Topological Characteristics of Obstacles and Nonlinear Rheological Fluid Flow in Presence of Insulated Fins: A Fluid Force Reduction Study

Effects of fluid inertia and elasticity and expansion angles on recirculation and thermal regions of viscoelastic flow in the symmetric planar gradual expansions

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