Natural Convection in a Non-Newtonian Fluid: Effects of Particle Concentration
In this paper we study the buoyancy driven flow of a particulate suspension between two inclined walls. The suspension is modeled as a non-linear fluid, where the (shear) viscosity depends on the concentration (volume fraction of particles) and the shear rate. The motion of the particles is determin...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-11-01
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| Series: | Fluids |
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| Online Access: | https://www.mdpi.com/2311-5521/4/4/192 |
| _version_ | 1818303450089259008 |
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| author | Chengcheng Tao Wei-Tao Wu Mehrdad Massoudi |
| author_facet | Chengcheng Tao Wei-Tao Wu Mehrdad Massoudi |
| author_sort | Chengcheng Tao |
| collection | DOAJ |
| description | In this paper we study the buoyancy driven flow of a particulate suspension between two inclined walls. The suspension is modeled as a non-linear fluid, where the (shear) viscosity depends on the concentration (volume fraction of particles) and the shear rate. The motion of the particles is determined by a convection-diffusion equation. The equations are made dimensionless and the boundary value problem is solved numerically. A parametric study is performed, and velocity, concentration and temperature profiles are obtained for various values of the dimensionless numbers. The numerical results indicate that due to the non-uniform shear rate, the particles tend to concentrate near the centerline; however, for a small Lewis number (Le) related to the size of the particles, a uniform concentration distribution can be achieved. |
| first_indexed | 2024-12-13T05:54:59Z |
| format | Article |
| id | doaj.art-2a435948c12d4816b0df3e5350dd1aa5 |
| institution | Directory Open Access Journal |
| issn | 2311-5521 |
| language | English |
| last_indexed | 2024-12-13T05:54:59Z |
| publishDate | 2019-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fluids |
| spelling | doaj.art-2a435948c12d4816b0df3e5350dd1aa52022-12-21T23:57:27ZengMDPI AGFluids2311-55212019-11-014419210.3390/fluids4040192fluids4040192Natural Convection in a Non-Newtonian Fluid: Effects of Particle ConcentrationChengcheng Tao0Wei-Tao Wu1Mehrdad Massoudi2University of Florida, Engineering School of Sustainable Infrastructure and Environment, Gainesville, FL 32611, USASchool of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, ChinaU.S. Department of Energy, National Energy Technology Laboratory (NETL), Pittsburgh, PA 15236, USAIn this paper we study the buoyancy driven flow of a particulate suspension between two inclined walls. The suspension is modeled as a non-linear fluid, where the (shear) viscosity depends on the concentration (volume fraction of particles) and the shear rate. The motion of the particles is determined by a convection-diffusion equation. The equations are made dimensionless and the boundary value problem is solved numerically. A parametric study is performed, and velocity, concentration and temperature profiles are obtained for various values of the dimensionless numbers. The numerical results indicate that due to the non-uniform shear rate, the particles tend to concentrate near the centerline; however, for a small Lewis number (Le) related to the size of the particles, a uniform concentration distribution can be achieved.https://www.mdpi.com/2311-5521/4/4/192non-linear fluidsvariable viscositynatural convectionconvection-diffusionbuoyancy force |
| spellingShingle | Chengcheng Tao Wei-Tao Wu Mehrdad Massoudi Natural Convection in a Non-Newtonian Fluid: Effects of Particle Concentration Fluids non-linear fluids variable viscosity natural convection convection-diffusion buoyancy force |
| title | Natural Convection in a Non-Newtonian Fluid: Effects of Particle Concentration |
| title_full | Natural Convection in a Non-Newtonian Fluid: Effects of Particle Concentration |
| title_fullStr | Natural Convection in a Non-Newtonian Fluid: Effects of Particle Concentration |
| title_full_unstemmed | Natural Convection in a Non-Newtonian Fluid: Effects of Particle Concentration |
| title_short | Natural Convection in a Non-Newtonian Fluid: Effects of Particle Concentration |
| title_sort | natural convection in a non newtonian fluid effects of particle concentration |
| topic | non-linear fluids variable viscosity natural convection convection-diffusion buoyancy force |
| url | https://www.mdpi.com/2311-5521/4/4/192 |
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