Mean Velocity of Blood Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Velocity of Blood = (Viscosity of Blood*Reynolds Number)/(Blood Density*Diameter of Artery)
v = (μ*Re)/(ρblood*Dartery)
This formula uses 5 Variables
Variables Used
Mean Velocity of Blood - (Measured in Cubic Meter per Second) - Mean Velocity of Blood is the mean rate of blood flow through a given vessel. Blood flow is the volume of blood flowing through a particular vessel in given interval of time.
Viscosity of Blood - (Measured in Pascal Second) - Viscosity of Blood is a measure of the resistance of blood to flow. It can also be described as the thickness and stickiness of blood.
Reynolds Number - The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.
Blood Density - (Measured in Kilogram per Cubic Meter) - The Blood Density is the mass per unit volume of blood.
Diameter of Artery - (Measured in Meter) - Diameter of Artery is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
STEP 1: Convert Input(s) to Base Unit
Viscosity of Blood: 12.5 Centipoise --> 0.0125 Pascal Second (Check conversion here)
Reynolds Number: 5000 --> No Conversion Required
Blood Density: 11.5 Kilogram per Cubic Meter --> 11.5 Kilogram per Cubic Meter No Conversion Required
Diameter of Artery: 10.55 Meter --> 10.55 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v = (μ*Re)/(ρblood*Dartery) --> (0.0125*5000)/(11.5*10.55)
Evaluating ... ...
v = 0.515145270966412
STEP 3: Convert Result to Output's Unit
0.515145270966412 Cubic Meter per Second -->515145.270966412 Milliliter per Second (Check conversion here)
FINAL ANSWER
515145.270966412 515145.3 Milliliter per Second <-- Mean Velocity of Blood
(Calculation completed in 00.004 seconds)

Credits

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National University of Judicial Science (NUJS), Kolkata
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12 Hemodynamics Calculators

Poiseuille's Equation for Blood Flow
Go Blood Flow = ((Final Pressure of System-Initial Pressure of Blood)*pi*(Radius of Artery^4)/(8*Length of the Capillary Tube*Density))
Pulse Wave Velocity using Moens-Korteweg equation
Go Pulse Wave Velocity = sqrt((Elastic (tangent) Modulus at Blood Pressure P*Thickness of Artery)/(2*Blood Density*Radius of Artery))
Pressure Drop using Hagen-Poiseuille equation
Go Difference in Pressure = (8*Viscosity of Blood*Length of the Capillary Tube*Blood Flow)/(pi*(Radius of Artery^4))
Elastic (Tangent) Modulus using Hughes equation
Go Elastic (tangent) Modulus at Blood Pressure P = Elastic Modulus at Zero Blood Pressure*exp(Material Coefficient of Artery*Blood Pressure)
Frank Bramwell-Hill equation for Pulse Wave Velocity
Go Pulse Wave Velocity = sqrt((Volume*Difference in Pressure)/(Blood Density*Change in Volume))
Mean Velocity of Blood
Go Mean Velocity of Blood = (Viscosity of Blood*Reynolds Number)/(Blood Density*Diameter of Artery)
Reynolds Number of Blood in Vessel
Go Reynolds Number = (Blood Density*Mean Velocity of Blood*Diameter of Artery)/Viscosity of Blood
Viscosity of Blood
Go Viscosity of Blood = (Blood Density*Diameter of Artery*Mean Velocity of Blood)/Reynolds Number
Pulsatility Index
Go Pulsatility Index = (Peak Systolic Velocity-Minimum Diastolic Velocity)/Average Velocity in terms of Cardiac Cycle
Mean Arterial Pressure
Go Mean Arterial Pressure = Diastolic Blood Pressure+((1/3)*(Systolic Blood Pressure-Diastolic Blood Pressure))
Pulse Pressure
Go Pulse Pressure = 3*(Mean Arterial Pressure-Diastolic Blood Pressure)
Rate of Mean Blood Flow
Go Blood Flow = (Blood Velocity*Cross Sectional Area of Artery)

Mean Velocity of Blood Formula

Mean Velocity of Blood = (Viscosity of Blood*Reynolds Number)/(Blood Density*Diameter of Artery)
v = (μ*Re)/(ρblood*Dartery)

What is Hemodynamics?

Hemodynamics or haemodynamics are the dynamics of blood flow. The circulatory system is controlled by homeostatic mechanisms of autoregulation, just as hydraulic circuits are controlled by control systems. The hemodynamic response continuously monitors and adjusts to conditions in the body and its environment. Hemodynamics explains the physical laws that govern the flow of blood in the blood vessels.

How to Calculate Mean Velocity of Blood?

Mean Velocity of Blood calculator uses Mean Velocity of Blood = (Viscosity of Blood*Reynolds Number)/(Blood Density*Diameter of Artery) to calculate the Mean Velocity of Blood, The Mean Velocity of Blood formula is defined as mean flow of blood through a given vessel. Blood flow is the volume of blood flowing through a particular vessel in given interval of time. Mean Velocity of Blood is denoted by v symbol.

How to calculate Mean Velocity of Blood using this online calculator? To use this online calculator for Mean Velocity of Blood, enter Viscosity of Blood (μ), Reynolds Number (Re), Blood Density blood) & Diameter of Artery (Dartery) and hit the calculate button. Here is how the Mean Velocity of Blood calculation can be explained with given input values -> 5.4E+11 = (0.0125*5000)/(11.5*10.55).

FAQ

What is Mean Velocity of Blood?
The Mean Velocity of Blood formula is defined as mean flow of blood through a given vessel. Blood flow is the volume of blood flowing through a particular vessel in given interval of time and is represented as v = (μ*Re)/(ρblood*Dartery) or Mean Velocity of Blood = (Viscosity of Blood*Reynolds Number)/(Blood Density*Diameter of Artery). Viscosity of Blood is a measure of the resistance of blood to flow. It can also be described as the thickness and stickiness of blood, The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe, The Blood Density is the mass per unit volume of blood & Diameter of Artery is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
How to calculate Mean Velocity of Blood?
The Mean Velocity of Blood formula is defined as mean flow of blood through a given vessel. Blood flow is the volume of blood flowing through a particular vessel in given interval of time is calculated using Mean Velocity of Blood = (Viscosity of Blood*Reynolds Number)/(Blood Density*Diameter of Artery). To calculate Mean Velocity of Blood, you need Viscosity of Blood (μ), Reynolds Number (Re), Blood Density blood) & Diameter of Artery (Dartery). With our tool, you need to enter the respective value for Viscosity of Blood, Reynolds Number, Blood Density & Diameter of Artery and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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