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Pulse wave velocity using Moens-Korteweg equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
pulse_wave_velocity = sqrt((The elastic (tangent) modulus at blood pressure P*Thickness of the artery)/(2*Blood Density*Radius of the artery))
PWV = sqrt((E*h0)/(2*ρ*R0))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
The elastic (tangent) modulus at blood pressure P - The elastic (tangent) modulus at blood pressure P is the slope of the stress–strain curve at the particular blood pressure P. (Measured in Pascal)
Thickness of the artery - The thickness of the artery is the width of an artery, which takes part in circulatory system. (Measured in Millimeter)
Blood Density - The Blood Density is the mass per unit volume of blood. (Measured in Milligram per Liter)
Radius of the artery - The radius of the artery is the radius of the blood vessel involved in circulatory system. (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
The elastic (tangent) modulus at blood pressure P: 10 Pascal --> 10 Pascal No Conversion Required
Thickness of the artery: 10 Millimeter --> 0.01 Meter (Check conversion here)
Blood Density: 10 Milligram per Liter --> 0.01 Kilogram per Meter³ (Check conversion here)
Radius of the artery: 10 Millimeter --> 0.01 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PWV = sqrt((E*h0)/(2*ρ*R0)) --> sqrt((10*0.01)/(2*0.01*0.01))
Evaluating ... ...
PWV = 22.3606797749979
STEP 3: Convert Result to Output's Unit
22.3606797749979 Pascal --> No Conversion Required
FINAL ANSWER
22.3606797749979 Pascal <-- Pulse Wave Velocity
(Calculation completed in 00.015 seconds)

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Poiseuille's Equation for Blood Flow
blood_flow = ((Final Pressure of System-Initial Pressure of System)*pi*(Radius^4)/(8*Length of the Capillary Tube*Density)) Go
Pulse wave velocity using Moens-Korteweg equation
pulse_wave_velocity = sqrt((The elastic (tangent) modulus at blood pressure P*Thickness of the artery)/(2*Blood Density*Radius of the artery)) Go
Elastic (Tangent) Modulus using Hughes equation
the_elastic_tangent_modulus_at_blood_pressure_P = Elastic Modulus at Zero Blood Pressure*exp(Material Coefficient of the Artery*Blood Pressure) Go
Pressure Drop using Hagen-Poiseuille equation
difference_in_pressure = (8*Viscosity of Blood*Length of the Capillary Tube*Blood Flow)/(pi*(Radius^4)) Go
Frank Bramwell-Hill equation for Pulse Wave Velocity
pulse_wave_velocity = sqrt((Volume*Change in pressure)/(Density of Blood*Change in Volume)) Go
Reynolds Number of Blood in the Vessel
reynolds_number = (Density of Blood*Mean Velocity of Blood*Diameter)/Viscosity of Blood Go
Mean Arterial Pressure
mean_arterial_pressure = Diastolic Blood Pressure+((1/3)*(Systolic Blood Pressure-Diastolic Blood Pressure)) Go
Pulsatility Index
pulsatility_index = (Peak Systolic Velocity-Minimum Diastolic Velocity)/Average Velocity Go
Pulse Pressure
pulse_pressure = 3*(Mean Arterial Pressure-Diastolic Blood Pressure) Go
Rate of Mean Blood Flow
blood_flow = (Blood Velocity*Cross sectional area) Go

Pulse wave velocity using Moens-Korteweg equation Formula

pulse_wave_velocity = sqrt((The elastic (tangent) modulus at blood pressure P*Thickness of the artery)/(2*Blood Density*Radius of the artery))
PWV = sqrt((E*h0)/(2*ρ*R0))

What is Moens–Korteweg equation?

In biomechanics, the Moens–Korteweg equation models the relationship between wave speed or pulse wave velocity (PWV) and the incremental elastic modulus of the arterial wall or its distensibility. The equation was derived independently by Adriaan Isebree Moens and Diederik Korteweg. It is derived from Newton's second law of motion, using some simplifying assumptions.

How to Calculate Pulse wave velocity using Moens-Korteweg equation?

Pulse wave velocity using Moens-Korteweg equation calculator uses pulse_wave_velocity = sqrt((The elastic (tangent) modulus at blood pressure P*Thickness of the artery)/(2*Blood Density*Radius of the artery)) to calculate the Pulse Wave Velocity, The Pulse wave velocity using Moens-Korteweg equation formula is defined as the velocity of the propagation for the pulse wave in the artery. Pulse Wave Velocity is denoted by PWV symbol.

How to calculate Pulse wave velocity using Moens-Korteweg equation using this online calculator? To use this online calculator for Pulse wave velocity using Moens-Korteweg equation, enter The elastic (tangent) modulus at blood pressure P (E), Thickness of the artery (h0), Blood Density (ρ) & Radius of the artery (R0) and hit the calculate button. Here is how the Pulse wave velocity using Moens-Korteweg equation calculation can be explained with given input values -> 22.36068 = sqrt((10*0.01)/(2*0.01*0.01)).

FAQ

What is Pulse wave velocity using Moens-Korteweg equation?
The Pulse wave velocity using Moens-Korteweg equation formula is defined as the velocity of the propagation for the pulse wave in the artery and is represented as PWV = sqrt((E*h0)/(2*ρ*R0)) or pulse_wave_velocity = sqrt((The elastic (tangent) modulus at blood pressure P*Thickness of the artery)/(2*Blood Density*Radius of the artery)). The elastic (tangent) modulus at blood pressure P is the slope of the stress–strain curve at the particular blood pressure P, The thickness of the artery is the width of an artery, which takes part in circulatory system, The Blood Density is the mass per unit volume of blood & The radius of the artery is the radius of the blood vessel involved in circulatory system.
How to calculate Pulse wave velocity using Moens-Korteweg equation?
The Pulse wave velocity using Moens-Korteweg equation formula is defined as the velocity of the propagation for the pulse wave in the artery is calculated using pulse_wave_velocity = sqrt((The elastic (tangent) modulus at blood pressure P*Thickness of the artery)/(2*Blood Density*Radius of the artery)). To calculate Pulse wave velocity using Moens-Korteweg equation, you need The elastic (tangent) modulus at blood pressure P (E), Thickness of the artery (h0), Blood Density (ρ) & Radius of the artery (R0). With our tool, you need to enter the respective value for The elastic (tangent) modulus at blood pressure P, Thickness of the artery, Blood Density & Radius of the artery and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Pulse Wave Velocity?
In this formula, Pulse Wave Velocity uses The elastic (tangent) modulus at blood pressure P, Thickness of the artery, Blood Density & Radius of the artery. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • mean_arterial_pressure = Diastolic Blood Pressure+((1/3)*(Systolic Blood Pressure-Diastolic Blood Pressure))
  • pulse_pressure = 3*(Mean Arterial Pressure-Diastolic Blood Pressure)
  • pulse_wave_velocity = sqrt((The elastic (tangent) modulus at blood pressure P*Thickness of the artery)/(2*Blood Density*Radius of the artery))
  • the_elastic_tangent_modulus_at_blood_pressure_P = Elastic Modulus at Zero Blood Pressure*exp(Material Coefficient of the Artery*Blood Pressure)
  • blood_flow = (Blood Velocity*Cross sectional area)
  • pulse_wave_velocity = sqrt((Volume*Change in pressure)/(Density of Blood*Change in Volume))
  • pulsatility_index = (Peak Systolic Velocity-Minimum Diastolic Velocity)/Average Velocity
  • blood_flow = ((Final Pressure of System-Initial Pressure of System)*pi*(Radius^4)/(8*Length of the Capillary Tube*Density))
  • difference_in_pressure = (8*Viscosity of Blood*Length of the Capillary Tube*Blood Flow)/(pi*(Radius^4))
  • reynolds_number = (Density of Blood*Mean Velocity of Blood*Diameter)/Viscosity of Blood
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