An artificial heart is a pump system which has fluidic impedances, such as valves or connectors. Fluid flow in the artificial heart system is a turbulent flow with a high Reynolds number. Experiments with water and glycerin indicated that head losses of parts of artificial heart vary approximately with the square of velocity and led to the equation
H
L=K
IV
2/2g=K
L8Q
2/πgD
4V : velocity (cm/s), Q : flow rate (cm
3/s), h
L, : head loss (cm), D : diameter (cm) in which
KL, the loss coefficient, is comparatively constant at high Reynolds number. Consequently, loss coefficient is constant, unaffected by viscosity and velocity of fluid.
The loss coefficient of an artificial heart can be calculated by the application of the Bernoulli's and continuity equations. The total head loss due to an inlet valve, an inlet connector, an outlet connector and an outlet valve was proved equal to the total of the head losses of each component.
The loss coefficients of valves and connectors measured in a circulation model, with water, glycerin and blood, were proved to be generally equal to the valves measured separately for each valve and connector.
When specifications of the artificial heart, such as cardiac output Q, systolic driving pressure h
out, diastolic sucking pressure h
in, mean blood pressure h
B, and systolic diastolic ratio k, are given, the loss coefficients of inlet and outlet valves and connectors are caluculated by the following equation.
K
I=2gS
2hI/ (1+k)
2Q
2, hout=h
O+hB, K
O=2gS
2k
2h
O/ (1+k)
2Q
2K
I : inlet loss coefficient, Ko : outlet loss coefficient..
By calculating these loss coefficients, the size of valves and connectors of artificial heart can be determined.
View full abstract