Suitable weak solutions to the micropolar fluids model in a bounded domain

Su, Jingrui

doi:10.1016/j.jmaa.2021.125406

Cited by 6 publications

(9 citation statements)

References 24 publications

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“…After this maximum value, the temperature 𝜃 will decrease, and all maximum values occur at y= 0.9. The effects of both Gf and ϒ on the temperature are found to be similar to effect of Gt on the temperature 𝜃 given in the figure (7); these figures are excluded here to avoid any kind of repetition.…”

Section: Resultsmentioning

confidence: 63%

“…(6) The nanoparticles concentration 𝜑 has an opposite behavior compared to temperature behavior except that it has the same behavior at the channel boundary. (7) By increasing each of Da, Pr, Ec, 𝛽, 𝛾 1 , Gt and Gf, the entropy generation Eg increases, while it decreases as 𝛼, 𝛽 1 , 𝛽 2 , M and R increase. Furthermore, the obtained curves don't intersect at the channel boundary, this occurs due to the boundary conditions of the problem.…”

Section: Discussionmentioning

confidence: 94%

“…The effects of thermal Grashoff number Gt and slip temperature parameter ϒ1 on the temperature distribution 𝜃 are shown in Figs. (7) and (8), respectively. It is clear from these figures that the effect of Gt and ϒ1 on the temperature is similar to the effect of Nb and Nt on 𝜃 in the first interval, respectively.…”

Section: Resultsmentioning

confidence: 99%

“…Recently, there are many researchers related to micropolar fluid over different surfaces [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

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Entropy generation and nanoparticles Cu O effects on MHD peristaltic transport of micropolar non-Newtonian fluid with velocity and temperature slip conditions

et al. 2022

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The present paper analyzes the influences of entropy generation as well as slip velocity and temperature conditions on MHD micropolar biviscosity nanofluid flow through a porous medium in a channel with peristalsis. The fluid effects of mixed convection, radiation, viscous dissipation and thermal micropolar properties are taken into consideration. The assumptions of low-Reynolds number and long-wavelength are used to simplify the governing equations of this problem. A semi-analytical solutions of these equations are obtained by using homotopy perturbation method. Moreover, the entropy generation is obtained in this study. Results are discussed for various parameters of the problem and depicted graphically. Physically, our model is consistent with the motion of digestive juice in the bowel whenever we are going to insert an endoscopy through it.

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Section: Resultsmentioning

confidence: 63%

Section: Discussionmentioning

confidence: 94%

Section: Resultsmentioning

confidence: 99%

“…Recently, there are many researchers related to micropolar fluid over different surfaces [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Entropy generation and nanoparticles Cu O effects on MHD peristaltic transport of micropolar non-Newtonian fluid with velocity and temperature slip conditions

et al. 2022

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“…They obtained the solution of coupled ordinary differential equation by using a well-known analytical technique of Homotopy Perturbation Method (HPM) and obtained the results graphically and numerically. Su, Jingrui [4] discussed the weak solution for micropolar fluid with compressible flow. He established the global existence of the weak solution.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Entropy Generation on Magnetohydrodynamic Flow with Mixed Convection through Porous Media

et al. 2022

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Various industrial operations involve frequent heating and cooling of electrical systems. In such circumstances, the development of relevant thermal devices is of extreme importance. During the development of thermal devices, the second law of thermodynamics plays an important role by means of entropy generation. Entropy generation should be reduced significantly for the efficient performance of the devices. The current paper reports an analytical study on micropolar fluid with entropy generation over a stretching surface. The influence of various physical parameters on velocity profile, microrotation profile, and temperature profile is investigated graphically. The impact of thermal radiation, porous medium, magnetic field, and viscous dissipation are also analyzed. Moreover, entropy generation and Bejan number are also illustrated graphically. Furthermore, the governing equations are solved by using HAM and code in MATHEMATICA software. It is concluded from this study that velocity and micro-rotation profile are reduced for higher values of magnetic and vortex viscosity parameter, respectively. For larger values of Eckert number and thermal radiation parameters, Bejan number and entropy generation are increased, respectively. These findings are useful in petroleum industries and engineering designs.

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