chapter 7-2-fluid machinery-biomed.ppt -...
TRANSCRIPT
![Page 1: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/1.jpg)
Blood pumps
Exemples
CHAP. 7- Fluid Machinery…
http://www.youtube.com/watch?v=YqvTKrRJIl8
![Page 2: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/2.jpg)
Jarvik 7 CardioWest TAH• The CardioWest TAH replaces each ventricle with a separate
diaphragm-type pump– Each pump is divided into two chambers by a flexible diaphragm with
blood on one side and air on the other• As air is forced into the device, the diaphragm deforms into the blood
chamber causing blood ejection (systole)• As air is evacuated from the device, the diaphragm deforms into the air
chamber causing blood the enter the device (diastole)– This device is driven pneumatically by an external console attached
to the device by two drivelines that go through the skin– The maximum stroke volume in this device is 70 mL with a flow rate
of 6 to 8 L/min under normal conditions
• This device is currently being used in patients under 67 years old who suffer from biventricular failure and are candidates for transplantation
![Page 3: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/3.jpg)
Nikkiso
• The Nikkiso HPM-15 (Nikkiso Co., Ltd., Tokyo, Japan) is an extracorporeal centrifugal blood pump currently in use in Japan for CPB
– This pump has an impeller with 6 blades
• Extensive simulations of flow and hemolysis have been performed on this device
• According to their website, Nikkiso is presently developing an implantable centrifugal pump
Nikkiso HPM-15 (from Takiura et al., 1998).
![Page 4: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/4.jpg)
HeartQuest VAD
• This device makes use of MagLev technology to magnetically suspend the pump impeller
• Currently, this device has a wearable external battery and controller– Future versions will
make use of TET technology
Upper housing
Outflow cannula
Lower housingImpeller
Figure 5-14. HeartQuest VAD (from Song et al., 2004).
![Page 5: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/5.jpg)
Impella Recover• The Impella Recover (Impella
CardioSystems GmbH, Aachen, Germany) is a catheter-based pump offering short term uni- or biventricular support
– This device is the smallest mechanical circulatory support device in the world
– The Impella Recover can be inserted via the femoral artery or directly into the left ventricle and provides circulatory support for up to 7 days
– A portable console is use to drive and control the pump, thus allowing for easy patient transport
– This device is in use in Europe
Impella Recover Pump (from www.impella.com/bilder/produkte/pumpe_a.jpg).
![Page 6: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/6.jpg)
Fluid System: Heart and vesselsThe Windkessel Model
Fluid Machinery…
![Page 7: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/7.jpg)
Role of the arterial system
The arteries carry blood away from the heart to the tissues.
The aorta branches toward periphery until blood reaches the arterioles and finally the capillaries.
The role of the arterial system is to convert the high velocity (around 1 m/s) pulsatileflow at the level of the ascending aorta to a low velocity (around 0.01 cm/s) steady flow necessary to cellular exchanges.
This is performed using the so called: Windkesseleffect.1473
The Vein Man. Vesalius (1554)
![Page 8: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/8.jpg)
Blood pressure in the circulatory system
![Page 9: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/9.jpg)
Diagram of the cardiac cycle, showing pressure curves of the cardiac chambers, heart sounds, jugular pulse wave, and the ECG.
Blood pressure in the circulatory system
![Page 10: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/10.jpg)
Windkessel Effect• Windkessel: a german word that can be translated as air (wind) chamber (kessel).
• A description of an early Windkessel effect was given by the German physiologist Otto Frank in 1899.
• It likens the heart and systemic arterial system to a closed hydraulic circuit comprised of a water pump connected to a chamber.
• The circuit is filled with water except for a pocket of air in the chamber.
• Water is pumped into the chamber, the water both compresses the air in the pocket and pushes water out of the chamber.
• The compressibility of the air in the pocket simulates the elasticity and extensibility of the major artery, as blood is pumped into it by the heart ventricle. This effect is commonly referred to as arterial compliance*.
• The resistance water encounters while leaving the Windkessel, simulates the resistance to flow encountered by the blood as it flows through the arterial tree from the major arteries, to minor arteries, to arterioles, and to capillaries, due to decreasing vessel diameter. This resistance to flow is commonly referred to as peripheral resistance.
* Compliance is a measure of distensibility, change in length per change in tension or change In volume per change in pressure
![Page 11: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/11.jpg)
Theoretical development of the Windkessel effect
We will consider here the simplest form of the Windkessel effect. This model called Windkessel 2-element considers only the arterial compliance (C) and the peripheral resistance (R).
Hypotheses
1-Unsteady flow.
2-The pressure difference across the resistance is a linear function of the flow rate.
3-The working fluid is incompressible.
4-The flow is constant throughout the ejection phase.
Symbols
P:pressure generated by the heart (N m-2) [mmHg]Q: blood flow in the aorta (m3 s-1) [l mn-1R: peripheral resistance (N s m-5) [dyne s cm-5] C: arterial or systemic compliance (m5 N-1) [ml mmHg-1]t: time [(s)T: period (s) Ts: ejection time (s)
![Page 12: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/12.jpg)
Theoretical development
Conservation of mass
Qcc is the flow to the compliance chamber.
Thus
Hyp: P-Pcv= R×Q1Pcv is the central veinus pressurePcv << P [Pcv≅5 mmHg vs. P≅100 mmHg ])
Hyp: Q=Cte throughout the systolic phase.
Therefore
Then
Systolic phase (valve in open position) 0≤t≤Ts
![Page 13: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/13.jpg)
Finally the equation to be solved for the systolic phase is
Initial condition: P(t=0)=P0
Solving eq. I
a) Particular solution (Q=Cte=0)
Systolic phase (valve in open position) 0≤t≤Ts
Theoretical development
![Page 14: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/14.jpg)
Systolic phase (valve in open position) 0≤t≤Ts
Theoretical development
b) Method of variation of the paramter(α1= α1(t))replace in eq.I
To be replaced in the particular solution
![Page 15: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/15.jpg)
Systolic phase (valve in open position) 0≤t≤Ts
Theoretical development
c) The general solution for the systolic phase is therefore:
To determine the constant α2 we use the initial condition:
Finally, the pressure waveform for the systolic phase can be written as:
![Page 16: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/16.jpg)
Theoretical developmentDiastolic phase (valve in closed position) Ts ≤ t ≤ T
It is same thing as for the systolic phase but with Q=Cte=0
Therefore;
The solution for this equation is under the following form:
Initial condition: P(t =Ts) = Ps(Ts) α3 is determined using the initial condition
Then,
![Page 17: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/17.jpg)
Theoretical developmentDiastolic phase (valve in closed position) Ts ≤ t ≤ T
Finally, the pressure waveform for the diastolic phase can be written under the form:
![Page 18: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/18.jpg)
Theoretical developmentSystolic / Diastolic phase
(valve in open position) / (valve in closed position) 0 ≤ t ≤ Ts / Ts ≤ t ≤ T
To compute the solution, we need to know: P0; Q; R; C; T; Ts.However, it is convenient to use a condition of recurrence to compute P0: P(0)=P(T)
![Page 19: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/19.jpg)
Analysis of the solution
• We can notice from the analytical solution of the Windkessel2-element model the importance of the term (R×C) because it determines the “speed”of the exponential rise or decay. This product is called the characteristic time and is usually noted ().
No resistance Higth resistancecirculation in the veins, venules, capilary
![Page 20: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/20.jpg)
Analysis of the solution
(Stiffer)
dPdVC
![Page 21: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/21.jpg)
Demonstration
![Page 22: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/22.jpg)
![Page 23: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/23.jpg)
![Page 24: Chapter 7-2-fluid Machinery-biomed.ppt - …by.genie.uottawa.ca/~mfenech/TEACH/MCG_3143/Entrees... · CHAP. 7- Fluid Machinery ... 3-The working fluid is incompressible. 4-The flow](https://reader034.vdocuments.us/reader034/viewer/2022051523/5a762b567f8b9a93088cefc4/html5/thumbnails/24.jpg)