Heat and Mass Transfer of Rotational Flow of Unsteady Third-Grade Fluid over a Rotating Cone with Buoyancy Effects
Objective of this paper is a study of the impact of heat and mass transfer on time-dependent flow of a third-grade convective fluid due to an infinitely rotating upright cone. An interesting fact is observed that the similarity solutions only exist, if we take the angular velocities of the cone and...
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| description | Objective of this paper is a study of the impact of heat and mass transfer on time-dependent flow of a third-grade convective fluid due to an infinitely rotating upright cone. An interesting fact is observed that the similarity solutions only exist, if we take the angular velocities of the cone and far away from the fluid as an inverse function of time. The analytical solutions of the reduced ordinary differential equations of third-grade fluids are offered by the optimal homotopy analysis method (OHAM). The results for important parameters are illustrated graphically as well as in tabular form. The precision of the present results is also checked by comparison with the numerical outcomes published earlier. The impact of non-Newtonian fluid parameters is found to decrease the primary skin-friction coefficient. There is an aggregate in Nusselt and Sherwood numbers for increasing the ratio of the buoyancy forces. |
| doi_str_mv | 10.1155/2021/5544540 |
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An interesting fact is observed that the similarity solutions only exist, if we take the angular velocities of the cone and far away from the fluid as an inverse function of time. The analytical solutions of the reduced ordinary differential equations of third-grade fluids are offered by the optimal homotopy analysis method (OHAM). The results for important parameters are illustrated graphically as well as in tabular form. The precision of the present results is also checked by comparison with the numerical outcomes published earlier. The impact of non-Newtonian fluid parameters is found to decrease the primary skin-friction coefficient. There is an aggregate in Nusselt and Sherwood numbers for increasing the ratio of the buoyancy forces.</description><identifier>ISSN: 1024-123X</identifier><identifier>EISSN: 1563-5147</identifier><identifier>DOI: 10.1155/2021/5544540</identifier><language>eng</language><publisher>LONDON: Hindawi</publisher><subject>Angular velocity ; Approximation ; Boundary conditions ; Buoyancy ; Coefficient of friction ; Computational fluid dynamics ; Differential equations ; Engineering ; Engineering, Multidisciplinary ; Exact solutions ; Fluid flow ; Heat ; Heat transfer ; Mass transfer ; Mathematics ; Mathematics, Interdisciplinary Applications ; Newtonian fluids ; Non Newtonian fluids ; Ordinary differential equations ; Parameters ; Partial differential equations ; Physical Sciences ; Rotating fluids ; Rotation ; Science & Technology ; Similarity solutions ; Skin friction ; Technology ; Time dependence ; Velocity ; Vortices</subject><ispartof>Mathematical problems in engineering, 2021, Vol.2021, p.1-9, Article 5544540</ispartof><rights>Copyright © 2021 S. Saleem.</rights><rights>Copyright © 2021 S. Saleem. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 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| subjects | Angular velocity Approximation Boundary conditions Buoyancy Coefficient of friction Computational fluid dynamics Differential equations Engineering Engineering, Multidisciplinary Exact solutions Fluid flow Heat Heat transfer Mass transfer Mathematics Mathematics, Interdisciplinary Applications Newtonian fluids Non Newtonian fluids Ordinary differential equations Parameters Partial differential equations Physical Sciences Rotating fluids Rotation Science & Technology Similarity solutions Skin friction Technology Time dependence Velocity Vortices |
| title | Heat and Mass Transfer of Rotational Flow of Unsteady Third-Grade Fluid over a Rotating Cone with Buoyancy Effects |
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