A Model for the Generalised Dispersion of Synovial Fluids on Nutritional Transport with Joint Impacts of Electric and Magnetic Field
Abstract
:1. Introduction
2. Formulation of the Problem
- A 2D, electrically conducting, viscous and incompressible synovial fluid is considered.
- Flow of fluid is laminar and steady.
- A constant magnetic field of strength is applied in the transverse direction.
3. Method of Solution
3.1. Velocity Distribution
3.2. Generalized Dispersion Model (GDM)
4. Results and Discussion
5. Conclusions
- Dispersion is accelerated by electromagnetic fields and other physical factors.
- In contrast to electromagnetic fields and other physical factors, the mean concentration drops as axial distance and time increase.
- Cells in the centre receive more nutrients than those in the periphery.
- The dispersion mechanism formula is used by orthopaedic surgeons to assess how well joints function.
Author Contributions
Funding
Conflicts of Interest
Nomenclature
Horizontal and normal components of the fluid velocity | |
Cartesian coordinates | |
Pressure | |
average velocity | |
Magnetic induction | |
k | Permeability of porous medium |
x component of electric field | |
Species concentration | |
Initial species concentration | |
Diffusion coefficient | |
Dispersion coefficient | |
M | Hartmann number |
Electric number | |
Reynolds number | |
Peclet number | |
Darcy number | |
Greek Symbols | |
Dynamic viscosity | |
Kinematic viscosity | |
Slip parameter | |
Electrical conductivity | |
Porous parameter | |
Viscoelastic parameter | |
Concentration | |
Mean concentration | |
Dimensionless charge density | |
Dimensionless time | |
Dimensionless axial distance |
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Kumar, B.R.; Vijayakumar, R.; Rani, A.J. A Model for the Generalised Dispersion of Synovial Fluids on Nutritional Transport with Joint Impacts of Electric and Magnetic Field. Math. Comput. Appl. 2023, 28, 3. https://doi.org/10.3390/mca28010003
Kumar BR, Vijayakumar R, Rani AJ. A Model for the Generalised Dispersion of Synovial Fluids on Nutritional Transport with Joint Impacts of Electric and Magnetic Field. Mathematical and Computational Applications. 2023; 28(1):3. https://doi.org/10.3390/mca28010003
Chicago/Turabian StyleKumar, B. Rushi, R. Vijayakumar, and A. Jancy Rani. 2023. "A Model for the Generalised Dispersion of Synovial Fluids on Nutritional Transport with Joint Impacts of Electric and Magnetic Field" Mathematical and Computational Applications 28, no. 1: 3. https://doi.org/10.3390/mca28010003