Hello,
I'm trying to simulate blood flow in a tube using a mechanical circuit known as the Windkessel model. This model relates outlet pressure to velocity through a set of equations:
(1) P = RT*V_avg + Q/C = 0
(2) Q = C*R1*V_avg - C*R1*dQ/dt
P is Pressure at the outlet, V_avg is the average volumetric flow rate at the outlet, and Q is a variable related to tube compliance. RT, R1, and C are all fixed parameters which define the circuit.
I want to couple this equation to the outlet as a boundary condition. However since the pressure and volumetric flow rate are connected through the 2nd equation I am unsure how properly couple the ODE module to a laminar flow module.
Using the first equation (1) I created a pressure variable which I used to define the pressure at my outlet. The second equation (2) was then defined using the Boundary ODE module. I have everything fully defined but I am getting errors and I think it is cause I did not properly couple the two modules together. If you could look at my set up and tell me where I might have made a mistake I would greatly appreciate it.
Thank you,
I'm trying to simulate blood flow in a tube using a mechanical circuit known as the Windkessel model. This model relates outlet pressure to velocity through a set of equations:
(1) P = RT*V_avg + Q/C = 0
(2) Q = C*R1*V_avg - C*R1*dQ/dt
P is Pressure at the outlet, V_avg is the average volumetric flow rate at the outlet, and Q is a variable related to tube compliance. RT, R1, and C are all fixed parameters which define the circuit.
I want to couple this equation to the outlet as a boundary condition. However since the pressure and volumetric flow rate are connected through the 2nd equation I am unsure how properly couple the ODE module to a laminar flow module.
Using the first equation (1) I created a pressure variable which I used to define the pressure at my outlet. The second equation (2) was then defined using the Boundary ODE module. I have everything fully defined but I am getting errors and I think it is cause I did not properly couple the two modules together. If you could look at my set up and tell me where I might have made a mistake I would greatly appreciate it.
Thank you,
