3. a) the windkessel model explains the relationship of the time response between which two flow variables? b) Murrayâs law relates the diameter of a parent artery to the diameters of the daughter arteries. What physical quantity is assumed to remain constant between the parent and daughter arteries?
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On national fried butterstick day, Buttercup the dog eats too many fried buttersticks. One of the dog's arteries is completely clogged. You are working with the veterinarian to perform a bypass. Artery A flows into B and C. Calculate the diameter of vein C, as well as area, volumetric and mass flow rates for all 3 vessels.Do NOT assume that the mass flow rate from A is divided evenly between B & C. Assume density of blood is 1.056 g/cm^3
Artery A | Artery B | Artery C | ||||||
Velocity | 25.00 | cm/s | Velocity | 30.00 | cm/s | Velocity | 30.00 | cm/s |
Diameter | 0.30 | cm | Diameter | 0.21 | cm | Diameter | ??? | cm |
Area | ??? | cm^2 | Area | ??? | cm^2 | Area | ??? | cm^2 |
Volumetric Flow | ??? | cm^3/s | Volumetric Flow | ??? | cm^3/s | Volumetric Flow | ??? | cm^3/s |
Mass Flow | ??? | g/s | Mass Flow | ??? | g/s | Mass Flow | ??? | g/s |
Round Answers to 2 decimal places. Do not include units in your answer boxes as they are given.
Area Artery A = ? cm^2
Volumetric Flow A = ? cm^3/s
Mass Flow Rate A = ? g/s
Area Artery B = ? cm^2
Volumetric Flow B = ? cm^3/s
Mass Flow Rate B = ? g/s
Area Artery C = ?
Volumetric Flow C = ? cm^3/s
Mass Flow Rate C = ? g/s
Diameter C = ?