Effect of Rotational Speed Modulation on the Weakly Nonlinear Heat Transfer in Walter-B Viscoelastic Fluid in the Highly Permeable Porous Medium
In this article, a study on the stability of Walter-B viscoelastic fluid in the highly permeable porous medium under the rotational speed modulation is presented. The impact of rotational modulation on heat transport is performed through a weakly nonlinear analysis. A perturbation procedure based on...
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MDPI AG
2020-08-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/9/1448 |
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| author | Anand Kumar Vinod K. Gupta Neetu Meena Ishak Hashim |
| author_facet | Anand Kumar Vinod K. Gupta Neetu Meena Ishak Hashim |
| author_sort | Anand Kumar |
| collection | DOAJ |
| description | In this article, a study on the stability of Walter-B viscoelastic fluid in the highly permeable porous medium under the rotational speed modulation is presented. The impact of rotational modulation on heat transport is performed through a weakly nonlinear analysis. A perturbation procedure based on the small amplitude of the perturbing parameter is used to study the combined effect of rotation and permeability on the stability through a porous medium. Rayleigh–Bénard convection with the Coriolis expression has been examined to explain the impact of rotation on the convective flow. The graphical result of different parameters like modified Prandtl number, Darcy number, Rayleigh number, and Taylor number on heat transfer have discussed. Furthermore, it is found that the modified Prandtl number decelerates the heat transport which may be due to the combined effect of elastic parameter and Taylor number. |
| first_indexed | 2024-03-10T16:44:14Z |
| format | Article |
| id | doaj.art-c53b7563225a40babe0808ae1b4aa12f |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T16:44:14Z |
| publishDate | 2020-08-01 |
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| series | Mathematics |
| spelling | doaj.art-c53b7563225a40babe0808ae1b4aa12f2023-11-20T11:48:13ZengMDPI AGMathematics2227-73902020-08-0189144810.3390/math8091448Effect of Rotational Speed Modulation on the Weakly Nonlinear Heat Transfer in Walter-B Viscoelastic Fluid in the Highly Permeable Porous MediumAnand Kumar0Vinod K. Gupta1Neetu Meena2Ishak Hashim3Department of Mathematics, Central University of Rajasthan, Ajmer 305817, IndiaDepartment of Mathematics, DIT University, Dehradun 248009, IndiaDepartment of Mathematics, Central University of Rajasthan, Ajmer 305817, IndiaDepartment of Mathematical Sciences, Faculty of Science & Technology, Universiti Kebangsaan Malaysia, Bangi 43600 UKM, Selangor, MalaysiaIn this article, a study on the stability of Walter-B viscoelastic fluid in the highly permeable porous medium under the rotational speed modulation is presented. The impact of rotational modulation on heat transport is performed through a weakly nonlinear analysis. A perturbation procedure based on the small amplitude of the perturbing parameter is used to study the combined effect of rotation and permeability on the stability through a porous medium. Rayleigh–Bénard convection with the Coriolis expression has been examined to explain the impact of rotation on the convective flow. The graphical result of different parameters like modified Prandtl number, Darcy number, Rayleigh number, and Taylor number on heat transfer have discussed. Furthermore, it is found that the modified Prandtl number decelerates the heat transport which may be due to the combined effect of elastic parameter and Taylor number.https://www.mdpi.com/2227-7390/8/9/1448convectionheat transferporous mediumweakly nonlinear analysis |
| spellingShingle | Anand Kumar Vinod K. Gupta Neetu Meena Ishak Hashim Effect of Rotational Speed Modulation on the Weakly Nonlinear Heat Transfer in Walter-B Viscoelastic Fluid in the Highly Permeable Porous Medium Mathematics convection heat transfer porous medium weakly nonlinear analysis |
| title | Effect of Rotational Speed Modulation on the Weakly Nonlinear Heat Transfer in Walter-B Viscoelastic Fluid in the Highly Permeable Porous Medium |
| title_full | Effect of Rotational Speed Modulation on the Weakly Nonlinear Heat Transfer in Walter-B Viscoelastic Fluid in the Highly Permeable Porous Medium |
| title_fullStr | Effect of Rotational Speed Modulation on the Weakly Nonlinear Heat Transfer in Walter-B Viscoelastic Fluid in the Highly Permeable Porous Medium |
| title_full_unstemmed | Effect of Rotational Speed Modulation on the Weakly Nonlinear Heat Transfer in Walter-B Viscoelastic Fluid in the Highly Permeable Porous Medium |
| title_short | Effect of Rotational Speed Modulation on the Weakly Nonlinear Heat Transfer in Walter-B Viscoelastic Fluid in the Highly Permeable Porous Medium |
| title_sort | effect of rotational speed modulation on the weakly nonlinear heat transfer in walter b viscoelastic fluid in the highly permeable porous medium |
| topic | convection heat transfer porous medium weakly nonlinear analysis |
| url | https://www.mdpi.com/2227-7390/8/9/1448 |
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