On the effect of boundary vibration on mucus mobilization

This study analyses the non-Newtonian synovial fluid flow between the joints in a synovitis which is a diseased condition due to inflammation of synovial membrane. It is assumed in this study that the secretion of synovial fluid through the inflamed synovial membrane is a linear function of the membrane length. The mathematical modelling of synovial fluid through a synovial membrane is mad by the non-Newtonian Linear Phan Thien Tanner (LPTT) fluid model through a thin conduit having permeable walls. The nonlinear flow of LPTT fluid gives the non-homogeneous complex boundary value problem and recursive approach is used to solve the problem. The flow of synovial fluid along and across the membrane is calculated under the inflamed membrane and results are displayed through graphs, the axial pressure required for the non-Newtonian fluid flow and deformation of synovial fluid produces the shearing forces near the synovial membrane are also calculated. The purpose of this research is to observe the shear stress on the synovial fluid and inflammation rate on the flow along the membrane at different position and pressure required for the flow of synovial fluid in diseased condition. The mathematical and graphical results for pressure, flow, volume flux and streamline are calculated and plotted in the software MATHEMATICA. This study is very helpful for the biomedical engineers to measure the compression force and shear stress on the synovial fluid in a diseased condition and can be controlled by the viscosity of the synovial fluid.

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On the effect of boundary vibration on mucus mobilization

Cited by 3 publications

References 71 publications

Modeling the effects of external oscillations on mucus clearance in obstructed airways

Modeling the effects of external oscillations on mucus clearance in obstructed airways

Acoustic airway clearance devices: A systematic review of experimental and numerical studies

Study of non-Newtonian synovial fluid flow by a recursive approach

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