Least squares finite element simulation of local transfer for a generalized Newtonian fluid in 2D periodic porous media

Sh, LI; Dimitrienko, Yu. I.

doi:10.1016/j.jnnfm.2023.105032

Cited by 8 publications

(1 citation statement)

References 27 publications

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“…Therefore, a lot of theoretical and experimental research regarding to the heat transfer in the Newtonian fluid have been reported. The dimensions of the container or boundary of the Newtonian fluid model have been studied, such as rectangular cavity installed with three equally positioned semi-circular cylinders [3], in double-layered underground reservoir [4], rigid triaxial ellipsoid [5], rectangular microchannel [6], porous medium [7,8], and three-layered porous medium [9]. The types or patterns of the flow also being considered, such as Stokes flow [5], cross flow [8], turbulent flow [10], and shallow flow [11].…”

Section: Introductionmentioning

confidence: 99%

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.

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Section: Introductionmentioning

confidence: 99%

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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An improved splitting algorithm for unsteady generalized Newtonian fluid flow problems with natural boundary conditions

Obbadi,

El-Amrani,

Seaid

et al. 2024

Computers & Mathematics with Applications

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On thermal performance of spine fin in magnetized hybrid fluid rooted with Cu and MoS4 nanoparticles

Tanuja,

Rehman

et al. 2024

AIP Advances

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This study examines the thermal performance of diverse profiles of spine fins with variable thermal conductivity. A hybrid nanofluid comprising Cu, and MoS4 with water as the base fluid, is modeled mathematically. Both the cylindrical and concave parabolic profiles are taken into account. The comparative outcomes are inferred from numerical and semi-analytical methods. The non-dimensional temperature profiles are analyzed graphically while considering the fin tip to be insulated, and the effects of various thermal parameters are also investigated. We have observed that the heat transfer rate shows an opposite trend toward convective-conduction and porosity parameter. The study also revealed that the concave parabolic profile emits more heat in comparison with the cylindrical profile.

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Least squares finite element simulation of local transfer for a generalized Newtonian fluid in 2D periodic porous media

Cited by 8 publications

References 27 publications

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

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

An improved splitting algorithm for unsteady generalized Newtonian fluid flow problems with natural boundary conditions

On thermal performance of spine fin in magnetized hybrid fluid rooted with Cu and MoS4 nanoparticles

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