Blood flow in artery was treated as the flow under equilibrium state (the steady flow under mean pressure)combined with the periodically small pulsatile flow.Using vascular strain energy function advanced by Fung,the ...Blood flow in artery was treated as the flow under equilibrium state (the steady flow under mean pressure)combined with the periodically small pulsatile flow.Using vascular strain energy function advanced by Fung,the vascular stress_strain relationship under equilibrium state was analyzed and the circumferential and axial elastic moduli were deduced that are expressed while the arterial strains around the equilibrium state are relatively small, so that the equations of vessel wall motion under the pulsatile pressure could be established here.Through solving both the vessel equations and the linear Navier_Stokes equations,the analytic expressions of the blood flow velocities and the vascular displacements were obtained.The influence of the difference between vascular circumferential and axial elasticities on pulsatile blood flow and vascular motion was discussed in details.展开更多
In this paper,blood flow in artery was treated as the flow under equilibrium state (the steady flow under mean pressure) combined with the periodically small sulsatile flow.Based on vascular zero stress state ,t...In this paper,blood flow in artery was treated as the flow under equilibrium state (the steady flow under mean pressure) combined with the periodically small sulsatile flow.Based on vascular zero stress state ,the pulsatile strains according to the radial and axial displacements of blood vessel were obtained.With the use of Hooke's law,the pulsatile strains and the corresponding Cauchy stresses were connected,so the corresponding wall motion equations could be established here.By solving the linearized Navier Stokes equations,the analytic expressions of the blood flow velocities and the vascular displacements could be obtained,and the in fluence of the circumferential and axial stretch ratio on pulsatile blood flow and vascular motion was discussed in details.展开更多
文摘Blood flow in artery was treated as the flow under equilibrium state (the steady flow under mean pressure)combined with the periodically small pulsatile flow.Using vascular strain energy function advanced by Fung,the vascular stress_strain relationship under equilibrium state was analyzed and the circumferential and axial elastic moduli were deduced that are expressed while the arterial strains around the equilibrium state are relatively small, so that the equations of vessel wall motion under the pulsatile pressure could be established here.Through solving both the vessel equations and the linear Navier_Stokes equations,the analytic expressions of the blood flow velocities and the vascular displacements were obtained.The influence of the difference between vascular circumferential and axial elasticities on pulsatile blood flow and vascular motion was discussed in details.
文摘In this paper,blood flow in artery was treated as the flow under equilibrium state (the steady flow under mean pressure) combined with the periodically small sulsatile flow.Based on vascular zero stress state ,the pulsatile strains according to the radial and axial displacements of blood vessel were obtained.With the use of Hooke's law,the pulsatile strains and the corresponding Cauchy stresses were connected,so the corresponding wall motion equations could be established here.By solving the linearized Navier Stokes equations,the analytic expressions of the blood flow velocities and the vascular displacements could be obtained,and the in fluence of the circumferential and axial stretch ratio on pulsatile blood flow and vascular motion was discussed in details.
