Plane Transverse MHD Flow through Porous Media

Hamdan, M. H.; Silva-Zea, Roberto; Erazo-Bone, Romel; Chuchuca-Aguilar, Fidel; Escobar-Segovia, Kenny

doi:10.4236/jamp.2020.810158

Cited by 4 publications

(2 citation statements)

References 11 publications

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“…With rising De (𝐷𝑒 = 0.1,1.0,2.0,3.0,4.0) values, the dimensionalless velocity component decreases significantly. De appears in relation to a few higher order derivatives in the boundary layer equation of momentum (7). Consequently, the shearing properties of the polymer flow are significantly influenced by this parameter.…”

Section: Resultsmentioning

confidence: 99%

“…MHD flow immersed in a permeable medium attracts lot of researchers as it has varied scope in drilling works embedded in fluids, geothermal extractions and controlling boundary layer in aerodynamics. Hamdan et al [7] wrote a collective thesis of MHD flow embedded in a porous medium analogue to Christian et al [8]. Acharya et al [9] considered a porous plate imbed in an absorbent media.…”

Section: Introductionmentioning

confidence: 99%

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Heat Transfer Analysis of Micropolar fluid over a Vertical Cone with Non-Uniform Heat source and sink: Keller Box Method and Industrial Applications

Poornima

2024

Preprint

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A mathematical model is made to look at the heat moves through a micropolar viscoelastic fluid from a vertically isothermal cone to a steady-state free convection boundary layer flow that is laminar, nonlinear, and not isothermal. Using MATLAB programming, we transform the linear momentum, energy, angular momentum equations, and possible boundary conditions using the finite difference methodology (Keller Box method). Higher-order (fourth-order) partial differential equations (PDEs) can be solved using this method up to the Nth first-order partial differential equation (PDE). Evaluations are done on the following parameters: dimensionless stream-wise coordinate, ratio of relaxation to retardation times, Deborah number (De), Erigena vortex viscosity parameter (R), Prandtl number (Pr), non-uniform heat source and sink (A, B), radiation and surface temperature, and angular velocity in the boundary layer regime. The results of the calculations show that temperature (along with the thickness of the thermal boundary layer) drops and linear and angular velocity rise with an increasing ratio of retardation to relaxation periods. Elevating the Deborah number results in increased temperatures and micro-rotation magnitudes, but it also lowers the Nusselt number and linear flow. Viscoelastic micropolar fluid flow finds applications in various areas of fluid dynamics where the behaviour of complex fluids with both viscous and elastic properties, along with micro-rotation effects, plays a significant role. Some applications include polymer processing, biomedical engineering, rheology, environmental fluid dynamics, and complex fluid flows. The skin friction coefficient and the Nusselt number are shown with graphs, streamlines, and tables for changed values of the flow constraints.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Heat Transfer Analysis of Micropolar fluid over a Vertical Cone with Non-Uniform Heat source and sink: Keller Box Method and Industrial Applications

Poornima

2024

Preprint

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On the Sigmoid Function as a Variable Permeability Model for Brinkman Equation

Bunak

Prokhorova

Zhuravsky

et al. 2022

Wseas Transactions on Applied and Theoretical Mechanics

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The purpose of this article is to study the necessity of creation and road maps usage as an effective ‎tool in order to create novel approaches for managing innovative high-tech projects using the author-developed criterion of innovative ‎tension, interpreted as the difference of potentials of participants in the innovation process — the ‎donor-enterprise of innovations and the recipient-enterprise of innovations.‎ The method of comparative analysis of various forms of organization of the innovation process and the corresponding variants of the ‎ratio of innovative potentials of participating enterprises was used. As a result of the conducted research, methodical approaches to evaluate innovation potentials of donors-enterprises of innovations and enterprises-recipients of innovations were developed. A ‎criterion for estimating the innovative potential in the donor-recipient system, so-called innovative stress, is formulated. An attempt to disclose the importance of methodological support of road maps on the example of ‎innovative projects is made.

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A Modified Beavers and Joseph Condition for Gravity-Driven Flow over Porous Layers

2021

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Gravity-driven flow through an inclined channel over a semi-infinite porous layer is considered in order to obtain a modification to the usual Beavers and Joseph slip condition that is suitable for this type of flow. Expressions for the velocity, shear stress, volumetric flow rates, and pressure distribution across the channel are obtained together with an expression for the interfacial velocity. In the absence of values for the slip parameter when the flow is over a Forchheimer porous layer, this work provides a relationship between the slip parameters of the Darcy and Forchheimer layers. Expressions for the interfacial velocities in both cases are obtained. This original work is intended to provide baseline analysis and a benchmark with which more sophisticated types of flow, over porous layers in an inclined domain can be compared.

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Plane Transverse MHD Flow through Porous Media

Cited by 4 publications

References 11 publications

Heat Transfer Analysis of Micropolar fluid over a Vertical Cone with Non-Uniform Heat source and sink: Keller Box Method and Industrial Applications

Heat Transfer Analysis of Micropolar fluid over a Vertical Cone with Non-Uniform Heat source and sink: Keller Box Method and Industrial Applications

On the Sigmoid Function as a Variable Permeability Model for Brinkman Equation

A Modified Beavers and Joseph Condition for Gravity-Driven Flow over Porous Layers

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