Abstract:Stokes’s equation in the fluid domain and Brinkman’s equation in the porous media are combined in the current study which is designated by the Stokes-Brinkman coupling. The current paper gives a theoretical analysis of the Stokes-Brinkman coupling. It has been shown that such a model is a good match for the knee joint. A flow model has been investigated in order to get a better understanding of the convective diffusion of the viscous flow along the articular surfaces between the joints. The Beavers and Joseph … Show more
“…It is important to note that although the velocity profile for comes very close to being linear (Newtonian), it is still considered to be a nonlinear profile. As the value grows, the velocity approaches a steady state in the central part of the domain, while the gradients get more severe as approach the plates 69 . The flow changes gradually while maintaining a nearly constant viscosity.…”
Section: Discussionmentioning
confidence: 99%
“…The flow changes gradually while maintaining a nearly constant viscosity. The rise in the concentration of HA has the greatest effect on the domain’s center, and as a consequence, the viscosity around the center of the domain has grown quite high, whilst it is relatively low near the domain’s boundaries 69 . Figure 3 The influence of various values of n on the non-dimensionalized velocity in the context of the Injection case for both flows.…”
Section: Discussionmentioning
confidence: 99%
“…In every instance, the thickness of the boundary layer is reduced when a non-Newtonian fluid is used. Physically, a rise in temperature of the synovial fluid because of the viscous nature of the joint tissues, causes a portion of the input mechanical energy to be dissipated as heat 69 . Thus, high temperature near the surface of the articular cartilage drops as it moves toward the contact between the bone and cartilage.…”
Section: Discussionmentioning
confidence: 99%
“… In accordance with the principle of symmetry, the stagnation point for the flow field may be found precisely in the middle of the flow geometry. This body of research provides a reliable estimate of the strain rate at the stagnation point, supposing that the effects of flow modification are not very large 48 , 69 , 72 . It is important to observe that as parameter a gets closer and closer to infinity, the starts to creep closer and closer to 1.…”
For the purpose of understanding, the governing system of partial differential equations for synovial fluid flow velocity and temperature distribution in the knee joint has been successfully solved for the first time. Therefore, such an article is shedding light on the convective diffusion of the viscous flow along the articular surfaces of the joints through the introduction of power-law fluids with different features of permeability, and stagnation point flow along a magnetic field. Henceforth, the frictional energy causes the knee joint’s temperature to increase. By way of filtration, heated synovial fluid reaches the articular cartilage and provides heat to the bone and cartilage. The lubricant in the joint cavity is properly mixed with this cooled fluid. A rectangular region flow and diffusion model is used to define the issue, thermal diffusion and flow inside the intra-articular gap, as well as flow and thermal diffusion within the porous matrix covering the approaching bones at the joint. Using the similarity solution approach, the linked mixed boundary value problem is addressed. The fluid has been shown to resist moving into or out of the cartilage in certain sick and/or aging synovial joints, causing the temperature to increase. By changing the values of the parameters from their usual levels, it is observed that the temperature did increase in aged and sick joints which impact cartilage and/or synovial fluid degradation.
“…It is important to note that although the velocity profile for comes very close to being linear (Newtonian), it is still considered to be a nonlinear profile. As the value grows, the velocity approaches a steady state in the central part of the domain, while the gradients get more severe as approach the plates 69 . The flow changes gradually while maintaining a nearly constant viscosity.…”
Section: Discussionmentioning
confidence: 99%
“…The flow changes gradually while maintaining a nearly constant viscosity. The rise in the concentration of HA has the greatest effect on the domain’s center, and as a consequence, the viscosity around the center of the domain has grown quite high, whilst it is relatively low near the domain’s boundaries 69 . Figure 3 The influence of various values of n on the non-dimensionalized velocity in the context of the Injection case for both flows.…”
Section: Discussionmentioning
confidence: 99%
“…In every instance, the thickness of the boundary layer is reduced when a non-Newtonian fluid is used. Physically, a rise in temperature of the synovial fluid because of the viscous nature of the joint tissues, causes a portion of the input mechanical energy to be dissipated as heat 69 . Thus, high temperature near the surface of the articular cartilage drops as it moves toward the contact between the bone and cartilage.…”
Section: Discussionmentioning
confidence: 99%
“… In accordance with the principle of symmetry, the stagnation point for the flow field may be found precisely in the middle of the flow geometry. This body of research provides a reliable estimate of the strain rate at the stagnation point, supposing that the effects of flow modification are not very large 48 , 69 , 72 . It is important to observe that as parameter a gets closer and closer to infinity, the starts to creep closer and closer to 1.…”
For the purpose of understanding, the governing system of partial differential equations for synovial fluid flow velocity and temperature distribution in the knee joint has been successfully solved for the first time. Therefore, such an article is shedding light on the convective diffusion of the viscous flow along the articular surfaces of the joints through the introduction of power-law fluids with different features of permeability, and stagnation point flow along a magnetic field. Henceforth, the frictional energy causes the knee joint’s temperature to increase. By way of filtration, heated synovial fluid reaches the articular cartilage and provides heat to the bone and cartilage. The lubricant in the joint cavity is properly mixed with this cooled fluid. A rectangular region flow and diffusion model is used to define the issue, thermal diffusion and flow inside the intra-articular gap, as well as flow and thermal diffusion within the porous matrix covering the approaching bones at the joint. Using the similarity solution approach, the linked mixed boundary value problem is addressed. The fluid has been shown to resist moving into or out of the cartilage in certain sick and/or aging synovial joints, causing the temperature to increase. By changing the values of the parameters from their usual levels, it is observed that the temperature did increase in aged and sick joints which impact cartilage and/or synovial fluid degradation.
“…In this research, the synovial fluid behavior caused by hip motion is solved by simultaneously solving the continuity equation and the Navier–Stokes equation 45 . Furthermore, the elasticity equation is used to solve the calculation in the solid computational.…”
The single mobility bearing as a previous bearing design of total hip prosthesis has severe mobility constraints that can result in dislocation during Muslim (people who follow the Islam as religion) prayer movements, specifically shalat that requires intense movement. There are five intense movements (i.e., bowing, prostration, sitting, transition from standing to prostration, and final sitting) during Muslim prayer that may generate an impingement problem for patients with total hip prosthesis. In this work, textured dual mobility total hip prosthesis with two textured cases (i.e., textured femoral head and textured inner liner) are presented and their performances are numerically evaluated against untextured surface model during Muslim prayer movement. The concave dimple design is chosen for surface texturing, while for simulating femoral head materials, SS 316L and CoCrMo is choosen. To represent the real condition, three-dimensional computational fluid dynamics (CFD) coupled with two-way fluid–structure interaction (FSI) methods are employed to analyze elastohydrodynamic lubrication problem with non-Newtonian synovial fluid model. The main aim of the present study is to investigate the tribological performance on dual mobility total hip prosthesis with applied textured surface with concave dimple in femoral head and inner liner surface under Muslim prayer movements. It is found that applying surface texturing has a beneficial effect on the lubrication performance for some intense movements. The textured femoral head model performs better than textured inner liner model and untextured model (both femoral head and inner liner). The numerical results also indicate superior performance of CoCrMo femoral head compared to SS 316L femoral head. These findings can be used as a reference for biomedical engineers and orthopedic surgeons in designing and choosing suitable total hip prosthesis for Muslims makes they can carry out Muslim prayer movements like humans in general who have normal hip joints.
We used fundamental-solution-based numerical methods, notably the finite volume method, to solve the two-dimensional transient bioheat transfer problem in this study. The modified Chen and Holmes (CH) bioheat transfer equation governs this problem, providing a solid physical and physiological foundation. The equation is derived from the fundamental principle of energy conservation and takes into consideration the thermal energy produced by metabolic processes occurring within the tissue. Both the Pennes model and the Chen-Holmes model are utilized for the analysis of Bioheat transfer. Instead of Pennes’ equation, the CH model includes a convective heat transfer term that accounts for thermal interactions between blood vessels and tissues and a conductive term that accounts for enhanced tissue conductive heat transfer as a function of blood perfusion rate. We used a uniform velocity term to analyze temperature profiles to explore the effects of altering parameters across time. Convective results match the literature, proving accuracy and boosting our trust in the proposed approach.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
