Lie group analysis for MHD squeezing flow of viscous fluid saturated in porous media

Magalakwe, Gabriel; Lekoko, Modisawatsona Lucas; Modise, Karabo; Khalique, Chaudry Masood

doi:10.1016/j.aej.2019.09.002

Cited by 20 publications

(8 citation statements)

References 20 publications

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“…The current study extends the work done in Magalakwe et al 19 by investigating the effect of the pressure and the temperature variation during the filtration process in a filter chamber with two outlets to optimize outflow. This study's main aim is to redesign the filter and give scientific evidence of the flow, pressure variation, and heat distribution that lead to optimal filtration of the modified filter design.…”

Section: Introductionmentioning

confidence: 54%

Analysis of pressure and heat distribution in a dilating or contracting filter chamber with two outlets using multivariate spectral quasilinearization method

2021

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The development of efficient filters is an essential part of industrial machinery design, specifically to increase the lifespan of a machine. In the filter chamber design considered in this study, the magnetic material is placed along the horizontal surface of the filter chamber. The inside of the filter chamber is layered with a porous material to restrict the outflow of unwanted particles. This study aims to investigate the flow, pressure, and heat distribution in a dilating or contracting filter chamber with two outlets driven by injection through a permeable surface. The proposed model of the fluid dynamics within the filter chamber follows the conservation equations in the form of partial differential equations. The model equations are further reduced to a steady case through Lie's symmetry group of transformation. They are then solved using a multivariate spectral-based quasilinearization method on the Chebyshev-Gauss-Lobatto nodes. Insights and analyses of the thermophysical parameters that drive optimal outflow during the filtration process are provided through the graphs of the numerical solutions of the differential equations. We find, among other results, that expansion of the filter chamber leads to an overall decrease in internal pressure and an increase in heat distribution inside the

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Section: Introductionmentioning

confidence: 54%

Analysis of pressure and heat distribution in a dilating or contracting filter chamber with two outlets using multivariate spectral quasilinearization method

2021

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“…Hamza 31 inspected the squeezing flow and highlighted the impact of the suction and injection parameters. Other interesting papers reflecting the squeezing viscous flow have been debated in Ahmad et al 32 , Shah et al 33 , Khan et al 34 , Magalakwe et al 35 and Basha 36 . Later, the analysis of squeezing flow in nanofluids was also considered by a few of researchers.…”

Section: Introductionmentioning

confidence: 99%

Unsteady squeezing flow of Cu-Al2O3/water hybrid nanofluid in a horizontal channel with magnetic field

Khashi’ie

Waini

Arifin

et al. 2021

Sci Rep

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The proficiency of hybrid nanofluid from Cu-Al2O3/water formation as the heat transfer coolant is numerically analyzed using the powerful and user-friendly interface bvp4c in the Matlab software. For that purpose, the Cu-Al2O3/water nanofluid flow between two parallel plates is examined where the lower plate can be deformed while the upper plate moves towards/away from the lower plate. Other considerable factors are the wall mass suction/injection and the magnetic field that applied on the lower plate. The reduced ordinary (similarity) differential equations are solved using the bvp4c application. The validation of this novel model is conducted by comparing a few of numerical values for the reduced case of viscous fluid. The results imply the potency of this heat transfer fluid which can enhance the heat transfer performance for both upper and lower plates approximately by 7.10% and 4.11%, respectively. An increase of squeezing parameter deteriorates the heat transfer coefficient by 4.28% (upper) and 5.35% (lower), accordingly. The rise of suction strength inflates the heat transfer at the lower plate while the presence of the magnetic field shows a reverse result.

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“…Hamza 5 inspected the squeezing flow and highlighted the impact of the suction and injection parameters. Another interesting papers reflecting the squeezing viscous flow have been debated in Ahmad et al 6 , Shah et al 7 , Khan et al 8 , Magalakwe et al 9 and Basha 10 .…”

Section: Introductionmentioning

confidence: 99%

Unsteady squeezing flow of Cu-Al2O3 /water hybrid nanofluid in a horizontal channel with magnetic field

Khashi’ie

Waini

Ari

et al. 2021

Preprint

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The proficiency of hybrid nanofluid from Cu-Al2O3/water formation as the heat transfer coolant is numerically analyzed using the powerful and user-friendly interface bvp4c in the Matlab software. For that purpose, the Cu-Al2O3/water nanofluid flow between two parallel plates is examined where the lower plate can be deformed while the upper plate moves towards/away from the lower plate. Another considerable factor are the wall mass suction/injection and the magnetic field which applied on the lower plate. The reduced ordinary (similarity) differential equations are solved using the bvp4c application. The validation of this novel model is conducted by comparing a few of numerical values for the reduced case of viscous fluid. The results imply the potency of this heat transfer fluid which can enhance the heat transfer performance for both upper and lower plates approximately by 7.10% and 4.11%, respectively. An increase of squeezing parameter deteriorates the heat transfer coefficient by 4.28% (upper) and 5.35% (lower), accordingly. The rise of suction strength inflates the heat transfer at the lower plate while the presence of magnetic field shows reverse result.

show abstract

Lie group analysis for MHD squeezing flow of viscous fluid saturated in porous media

Cited by 20 publications

References 20 publications

Analysis of pressure and heat distribution in a dilating or contracting filter chamber with two outlets using multivariate spectral quasilinearization method

Analysis of pressure and heat distribution in a dilating or contracting filter chamber with two outlets using multivariate spectral quasilinearization method

Unsteady squeezing flow of Cu-Al2O3/water hybrid nanofluid in a horizontal channel with magnetic field

Unsteady squeezing flow of Cu-Al2O3 /water hybrid nanofluid in a horizontal channel with magnetic field

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