Thermal bio-convective transport in biological fluid using two viscosity models
This article models the diffusion process of heat and mass transfer in synovial fluid (SF) which is viscous non-Newtonian and is present in the articular cartilage of the synovial joint. The viscosity of SF is a function of the concentration of hyaluronan (HA) and shear rate. The physicochemical pro...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-06-01
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| Series: | Case Studies in Thermal Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X22001708 |
| _version_ | 1811306106012565504 |
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| author | Abdelatif Salmi Hadi Ali Madkhali Uzma Arif Sayer Obaid Alharbi M.Y. Malik |
| author_facet | Abdelatif Salmi Hadi Ali Madkhali Uzma Arif Sayer Obaid Alharbi M.Y. Malik |
| author_sort | Abdelatif Salmi |
| collection | DOAJ |
| description | This article models the diffusion process of heat and mass transfer in synovial fluid (SF) which is viscous non-Newtonian and is present in the articular cartilage of the synovial joint. The viscosity of SF is a function of the concentration of hyaluronan (HA) and shear rate. The physicochemical properties of HA and the use of antioxidants is the main motivation for considering Brownian motion and thermophoresis in the synovial liquid. The mathematical models for viscosity depending upon concentration and shear rate dependent are coupled with conservation governing equations. To explore the behavior of material parameters on the lubricant nature of the SF models governing laws are solved. The impacts of parameters on friction between joints are examined which helps to analyze the lubricant nature of SFs. Subsequently, it also noted that, in a quantitative sense, viscosity models (model-I and model-II) behave slightly differently under parametric variation. Brownian motion (BM) of particles for the case of the model-I is higher than that for the case of the model-II. The concentration field decreases by increasing the BM of particles. However, the concentration field increases when thermophoresis effects are increased. It is also found from the simulations that thermophoresis effects for the case of a model-II are stronger than those for the case of model-I. BM of particles is responsible for an increase in the temperature for the case of both models. |
| first_indexed | 2024-04-13T08:38:29Z |
| format | Article |
| id | doaj.art-070d2ac878ec408fb7522e1633a38e45 |
| institution | Directory Open Access Journal |
| issn | 2214-157X |
| language | English |
| last_indexed | 2024-04-13T08:38:29Z |
| publishDate | 2022-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj.art-070d2ac878ec408fb7522e1633a38e452022-12-22T02:54:00ZengElsevierCase Studies in Thermal Engineering2214-157X2022-06-0134101924Thermal bio-convective transport in biological fluid using two viscosity modelsAbdelatif Salmi0Hadi Ali Madkhali1Uzma Arif2Sayer Obaid Alharbi3M.Y. Malik4Prince Sattam bin Abdulaziz University, College of Engineering, Department of Civil Engineering, 16273, Alkharj, Saudi Arabia; Corresponding author.College of Engineering, Mechanical Engineering Department, Jazan University, 45142, P.O. Box 114, Saudi ArabiaDepartment of Applied Mathematics & Statistics, Institute of Space Technology, Islamabad, 44000, PakistanMathematics Department, College of Science Al-Zulfi, Majmaah University, Majmaah, 11952, Saudi ArabiaDepartment of Mathematics, College of Sciences, King Khalid University, Abha, 61413, Saudi ArabiaThis article models the diffusion process of heat and mass transfer in synovial fluid (SF) which is viscous non-Newtonian and is present in the articular cartilage of the synovial joint. The viscosity of SF is a function of the concentration of hyaluronan (HA) and shear rate. The physicochemical properties of HA and the use of antioxidants is the main motivation for considering Brownian motion and thermophoresis in the synovial liquid. The mathematical models for viscosity depending upon concentration and shear rate dependent are coupled with conservation governing equations. To explore the behavior of material parameters on the lubricant nature of the SF models governing laws are solved. The impacts of parameters on friction between joints are examined which helps to analyze the lubricant nature of SFs. Subsequently, it also noted that, in a quantitative sense, viscosity models (model-I and model-II) behave slightly differently under parametric variation. Brownian motion (BM) of particles for the case of the model-I is higher than that for the case of the model-II. The concentration field decreases by increasing the BM of particles. However, the concentration field increases when thermophoresis effects are increased. It is also found from the simulations that thermophoresis effects for the case of a model-II are stronger than those for the case of model-I. BM of particles is responsible for an increase in the temperature for the case of both models.http://www.sciencedirect.com/science/article/pii/S2214157X22001708SFHyaluronanShear rate viscosity modelsMass flux |
| spellingShingle | Abdelatif Salmi Hadi Ali Madkhali Uzma Arif Sayer Obaid Alharbi M.Y. Malik Thermal bio-convective transport in biological fluid using two viscosity models Case Studies in Thermal Engineering SF Hyaluronan Shear rate viscosity models Mass flux |
| title | Thermal bio-convective transport in biological fluid using two viscosity models |
| title_full | Thermal bio-convective transport in biological fluid using two viscosity models |
| title_fullStr | Thermal bio-convective transport in biological fluid using two viscosity models |
| title_full_unstemmed | Thermal bio-convective transport in biological fluid using two viscosity models |
| title_short | Thermal bio-convective transport in biological fluid using two viscosity models |
| title_sort | thermal bio convective transport in biological fluid using two viscosity models |
| topic | SF Hyaluronan Shear rate viscosity models Mass flux |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X22001708 |
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