Numerical simulation of the transition of a Newtonian fluid to a viscoplastic state in a turbulent flow

Пахомов, М. А.; Zhapbasbayev, U. K.; Bossinov, D. Zh.

doi:10.1016/j.jksus.2022.102522

Cited by 3 publications

(6 citation statements)

References 32 publications

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“…The equation system for turbulent non-isothermal flow of viscoplastic NNF fluid is written in Ref. [ 33 ]:

…”

Section: Model Of Mass and Heat Transfermentioning

confidence: 99%

“…Turbulent heat flux

is given in Ref. [ 33 ]. The expression

in equation (4) is found according to representation [ 27 ].…”

Section: Model Of Mass and Heat Transfermentioning

confidence: 99%

“…The expression

in equation (4) is found according to representation [ 27 ]. The last term in equation (5) takes into account the dissipation of kinetic energy and has the form [ [33] , [34] , [35] ]. The expression for the average shear rate in the non-Newtonian fluid was given in Ref.…”

Section: Model Of Mass and Heat Transfermentioning

confidence: 99%

“…The boundary conditions on the wall surface ( r = R = D /2), in inlet section ( x = 0) and at outlet edge ( x = L ) were given in details in Refs. [ 28 , 33 ].

Fig.…”

Section: Model Of Mass and Heat Transfermentioning

confidence: 99%

“…The numerical realization is given in details in Refs. [ 28 , 33 ]. The grid convergence test (GCT) for the radial profiles of TKE is performed on the grids: 500 × 40 (“coarse”), 1000 × 80 (“basic”) and 1500 × 120 (“fine”) (see Fig.…”

Section: Numerical Realizationmentioning

confidence: 99%

See 4 more Smart Citations

Comparative predictions of turbulent non-isothermal flow of a viscoplastic fluid with yield stress

Pakhomov,

Zhapbasbayev

2024

Heliyon

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“…The equation system for turbulent non-isothermal flow of viscoplastic NNF fluid is written in Ref. [ 33 ]:

…”

Section: Model Of Mass and Heat Transfermentioning

confidence: 99%

“…Turbulent heat flux

is given in Ref. [ 33 ]. The expression

in equation (4) is found according to representation [ 27 ].…”

Section: Model Of Mass and Heat Transfermentioning

confidence: 99%

“…The expression

Section: Model Of Mass and Heat Transfermentioning

confidence: 99%

“…The boundary conditions on the wall surface ( r = R = D /2), in inlet section ( x = 0) and at outlet edge ( x = L ) were given in details in Refs. [ 28 , 33 ].

Fig.…”

Section: Model Of Mass and Heat Transfermentioning

confidence: 99%

Section: Numerical Realizationmentioning

confidence: 99%

See 3 more Smart Citations

Comparative predictions of turbulent non-isothermal flow of a viscoplastic fluid with yield stress

Pakhomov,

Zhapbasbayev

2024

Heliyon

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RANS predictions of turbulent non-isothermal viscoplastic fluid in pipe with sudden expansion

Pakhomov,

Zhapbasbayev

2024

Journal of Non-Newtonian Fluid Mechanics

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Soret-Dufour Effects on Heat and Mass Transfer of Newtonian Fluid Flow over the Inclined Sheet and Magnetic Field

Siti Suzilliana Putri Mohamed Isa,

Hazirah Mohd Azmi,

Nanthini A/P Balakrishnan

et al. 2023

ARNHT

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Newtonian fluid is ideal for lubrication purposes because the viscosity of this fluid remains as a function of the shear. Besides, the heat and mass transfer are an important study area in fluid dynamics due to its vast applications in industrial processes. The heat-mass transfer can be defined as the Soret and Dufour effect, which implemented in many industrial applications such as in chemical engineering and geosciences field. In addition, the fluid flow over an extending/compressing sheet has significant industrial applications such as the cooling of continuous strips, glass fibre production, the extrusion of plastic sheets from a die, etc. As a response, this study aims to investigate the impacts of Soret and Dufour parameters on the Newtonian fluid flow over an inclined stretching/shrinking sheet. The methodology of this mathematical model are stated as follow: 1) the transformation of partial differential equations (PDEs) to the ordinary differential equations (ODEs), and 2) The ODEs are solved using bvp4c solver in MATLAB software. The bvp4c solver is a MATLAB program directory that solves general form and multi-point boundary layer problems. The main sections of bvp4c are: 1) The solution of the ODEs, 2) The related boundary conditions that can produce the expected results, and 3) An initial guess to run the bvp4c solver. As a result, the numerical and graphical results show that the Soret effect increases the concentration profile whereas decreases the temperature profile. The vice versa occurrence is true for Dufour effect. The convective mass transfer caused by a temperature gradient is known as thermal-diffusion (Soret) effect. The convective heat transfer produced by concentration differences is known as diffusion-thermo (Dufour) effect. However, since the process of heat and mass transfers are related to each other, the Soret and Dufour effects are able to influence both of this process simultaneously. In conclusion, the convective heat transfer is enhanced by increasing Soret and Dufour number while the convective mass transfer is declined by increasing the two numbers.

show abstract

Numerical simulation of the transition of a Newtonian fluid to a viscoplastic state in a turbulent flow

Cited by 3 publications

References 32 publications

Comparative predictions of turbulent non-isothermal flow of a viscoplastic fluid with yield stress

Comparative predictions of turbulent non-isothermal flow of a viscoplastic fluid with yield stress

RANS predictions of turbulent non-isothermal viscoplastic fluid in pipe with sudden expansion

Soret-Dufour Effects on Heat and Mass Transfer of Newtonian Fluid Flow over the Inclined Sheet and Magnetic Field

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