Multi-linear regression of triple diffusive convectively heated boundary layer flow with suction and injection: Lie group transformations

Mamatha, S.U.; Devi, Renu; Ahammad, N. Ameer; Shah, Nehad Ali; Rao, B. Madhusudhan; Raju, C. S. K.; Khan, Masood; Guedri, Kamel

doi:10.1142/s0217979223500078

Cited by 95 publications

(20 citation statements)

References 36 publications

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“…A Teoria dos Grupos é um vasto ramo da Matemática e possui grande importância em diversas áreas do conhecimento humano. Particularmente os grupos encontram aplicações em vários ramos da Física, desde Teoria Quântica de Campos até Cosmologia, passando por teoria de Wang-Mills, Mecânica Clássica, Mecânica Quântica, Óptica, Física da Matéria Condensada entre outros [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Um grupo basicamente é uma estrutura algébrica composta por um conjunto e uma operação binária entre os elementos desse conjunto (a operação satisfazendo a propriedade de fechamento), além de três condições a serem satisfeitas, a saber: associatividade, elemento neutro e elemento inverso, com respeito à operação de grupo [16].…”

Section: Introductionunclassified

Introdução ao grupo SO(4) com aplicações à Física: transformação de Galilei e átomo de hidrogênio

Jesus

2023

Rev. Bras. Ensino Fís.

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Este trabalho tem como objetivo apresentar uma introdução ao grupo S O ( 4 ) e duas aplicações na Física: uma na Mecânica Clássica e outra na Mecânica Quântica. Os geradores do grupo S O ( 4 ) serão determinados, assim como sua álgebra de Lie. A aplicação na Mecânica Clássica será na obtenção da transformação de Galilei homogênea e na Mecânica Quântica será na obtenção do espectro de energia do átomo de hidrogênio, no regime não-relativístico. A versão quântica do vetor de Laplace-Runge-Lenz será fundamental para a construção da fórmula de Bohr para os níveis de energia do respectivo átomo.

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Section: Introductionunclassified

Introdução ao grupo SO(4) com aplicações à Física: transformação de Galilei e átomo de hidrogênio

Jesus

2023

Rev. Bras. Ensino Fís.

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“…Furthermore, Dogonchi and Ganji [ 26 ] investigated the impact of velocity and temperature slip on the flow of water-based nanofluids in converging and diverging channels. Extensive reports in recent years have focused on heat-transport mechanisms during nanofluid flow in different scenarios [ 27 , 28 , 29 , 30 , 31 ].…”

Section: Introductionmentioning

confidence: 99%

Entropy Minimization for Generalized Newtonian Fluid Flow between Converging and Diverging Channels

et al. 2022

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The foremost focus of this article was to investigate the entropy generation in hydromagnetic flow of generalized Newtonian Carreau nanofluid through a converging and diverging channel. In addition, a heat transport analysis was performed for Carreau nanofluid using the Buongiorno model in the presence of viscous dissipation and Joule heating. The second law of thermodynamics was employed to model the governing flow transport along with entropy generation arising within the system. Entropy optimization analysis is accentuated as its minimization is the best measure to enhance the efficiency of thermal systems. This irreversibility computation and optimization were carried out in the dimensional form to obtain a better picture of the system’s entropy generation. With the help of proper dimensionless transformations, the modeled flow equations were converted into a system of non-linear ordinary differential equations. The numerical solutions were derived using an efficient numerical method, the Runge–Kutta Fehlberg method in conjunction with the shooting technique. The computed results were presented graphically through different profiles of velocity, temperature, concentration, entropy production, and Bejan number. From the acquired results, we perceive that entropy generation is augmented with higher Brinkman and Reynolds numbers. It is significant to mention that the system’s entropy production grew near its two walls, where the irreversibility of heat transfer predominates, in contrast to the channel’s center, where the irreversibility of frictional force predominates. These results serve as a valuable guide for designing and optimizing channels with diverging–converging profiles required in several heat-transfer applications.

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“…The mass transfer effects were explored considering the chemical reactions. Undoubtedly, various computational (analytical and numerical) schemes [39][40][41][42][43][44][45][46][47] are available in the existing literature. Here, the nonlinear problems were computed using a homotopic ap-proach [48][49][50] for convergent series solutions.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Nonlinear Convection–Radiation in Chemically Reactive Oldroyd-B Nanoliquid Configured by a Stretching Surface with Robin Conditions: Applications in Nano-Coating Manufacturing

et al. 2022

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Motivated by emerging high-temperature manufacturing processes deploying nano-polymeric coatings, the present study investigates nonlinear thermally radiative Oldroyd-B viscoelastic nanoliquid stagnant-point flow from a heated vertical stretching permeable surface. Robin (mixed derivative) conditions were utilized in order to better represent coating fabrication conditions. The nanoliquid analysis was based on Buongiorno’s two-component model, which features Brownian movement and thermophoretic attributes. Nonlinear buoyancy force and thermal radiation formulations are included. Chemical reactions (constructive and destructive) were also considered since coating synthesis often features reactive transport phenomena. An ordinary differential equation model was derived from the primitive partial differential boundary value problem using a similarity approach. The analytical solutions were achieved by employing a homotopy analysis scheme. The influence of the emerging dimensionless quantities on the transport characteristics was comprehensively explained using appropriate data. The obtained analytical outcomes were compared with the literature and good correlation was achieved. The computations show that the velocity profile was diminished with an increasing relaxation parameter, whereas it was enhanced when the retardation parameter was increased. A larger thermophoresis parameter induces an increase in temperature and concentration. The heat and mass transfer rates at the wall were increased with incremental increases in the temperature ratio and first order chemical reaction parameters, whereas contrary effects were observed for larger thermophoresis, fluid relaxation and Brownian motion parameters. The simulations can be applied to the stagnated nano-polymeric coating of micromachines, robotic components and sensors.

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Multi-linear regression of triple diffusive convectively heated boundary layer flow with suction and injection: Lie group transformations

Cited by 95 publications

References 36 publications

Introdução ao grupo SO(4) com aplicações à Física: transformação de Galilei e átomo de hidrogênio

Introdução ao grupo SO(4) com aplicações à Física: transformação de Galilei e átomo de hidrogênio

Entropy Minimization for Generalized Newtonian Fluid Flow between Converging and Diverging Channels

Analysis of Nonlinear Convection–Radiation in Chemically Reactive Oldroyd-B Nanoliquid Configured by a Stretching Surface with Robin Conditions: Applications in Nano-Coating Manufacturing

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