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Question: need help with 419 but it builds off of 418...

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Need help with 4.19 but it builds off of 4.18 so I have included both

15o mmHg. All other conditions are as listea in Probiem .1. 4.17 Use the Cartesian Navier-Stokes equations to approximate the flow through the left ventricle during peak systole. Assume that the gravitational effects on the flow are negligible and that the opening orifice for blood to flow through is 25 mm (aorta). The width of the left ventricle can be approximated as 2 cm and the total length from the apex of the heart to the aortic valve of 4 cm. Determine the maximum velocity at both the aorta and within the ventricle. Blood viscosity is 3.5 cP assume that the pressure gradient across this flow is -1 mmHg/cm. tension on the inner leaflet to maintain the valve in a closed position. Assume that during valve closure, there is a pressure difference of 3 mmHg, with an atrial pressure of 5 mmHg The radii of curvature for the inner leaflet is 1 cm and that for the outer leaflet is 1.05 cm. There is a uniform width of 3 mm across the leaflets. Assume that the leaflet is approximately 1/3 of sphere I. MACROCIRCULATION
der a condition where the heart valves stiffen, the tension that they can withstand reduces to 2 mN on the exterior surface and 0.5 mN on the interior surface. What is the radius of curvature needed for the leaflets to maintain this pressure? Assume that all pressure conditions and geometric considerations are the same as in Problem 4.18. 4.20 Modeling: Design a two-dimensional aortic valve geometry (including the aorta) using a 4.1 9 Un
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