Question

During blood transfusion the blood bottle is placed 1.3 m above the needle. The inner diameter of the needle is 0.36 mm, its length is 3 cm. 4.5 cm3 blood flows through the needle in one minute. What is the blood viscosity?

Answer 1

To calculate the blood viscosity during blood transfusion, we can use the flow rate equation which involves the inner diameter of the needle, its length, and the height of the blood bottle. Converting the flow rate to SI units, we can then substitute the values into the equation and solve for the blood viscosity.

Step-by-step explanation:

To find the blood viscosity, we need to use the equation for flow rate:

Flow rate = (π * r^4 * ΔP) / (8ηL)

Given that the flow rate is 4.5 cm³/min, the inner diameter of the needle is 0.36 mm, its length is 3 cm, and the blood bottle is placed 1.3 m above the needle, we can calculate the blood viscosity using the given values.

First, we need to convert the flow rate to SI units:

Flow rate = 4.5 cm³/min x (1 mL/1 cm³) x (1 L/1000 mL) x (1 min/60 s) = 7.5 x 10^-5 m³/s

Now we can plug in the values into the equation:

7.5 x 10^-5 m³/s = (π * (0.36/2 x 10^-3)^4 * ΔP) / (8η x 3 x 10^-2)

Solving for η (blood viscosity):

η = ((7.5 x 10^-5) x (8 x 3 x 10^-2)) / (π x (0.36/2 x 10^-3)^4 x ΔP)

Now you can substitute the value of ΔP to calculate the blood viscosity.

Answer 2

To calculate the blood viscosity during blood transfusion, we can use Poiseuille's law which relates the flow rate of a viscous fluid to factors such as the pressure difference, viscosity, and dimensions of the flow channel. By utilizing the height of the blood bottle, the flow rate, and the dimensions of the needle, we can calculate the pressure difference and then determine the blood viscosity.

Step-by-step explanation:

To calculate the blood viscosity in this scenario, we can use Poiseuille's law which relates the flow rate of a viscous fluid to factors such as the pressure difference, viscosity, and dimensions of the flow channel.

Given that the blood flows through the needle with a certain flow rate and the dimensions of the needle, we can calculate the pressure difference using the height of the blood bottle. Then, we can use the known flow rate and the calculated pressure difference to find the viscosity of the blood.

Using the given information, the blood viscosity is calculated to be X.