Calculate the rate of change of the blood flow

Reference no: EM131003669

We consider Poiscuille's law of laminar flow:

v = (P/4ηl) (R² - r²)

where v is the blood velocity at a distance r from the centre of a blood vessel (a vein or artery) in the shape of a tube with radius R and length l, P is the pressure difference between the ends of the tube, and eta is the viscosity of the blood. In very cold weather, blood vessels in the hands and feet contract. Suppose that a blood vessel with l = 1 cm, P = 1500 dynes/cm², eta = 0.027, and R = 0.01 cm contracts so that R'(t) = -0.0005 cm/min at a particular moment. Calculate dv/dt, the rate of change of the blood flow, at the centre of the blood vessel at that time.

Reference no: EM131003669

Questions Cloud

What is the main cell organelle involved in cell digestion : What is the main cell organelle involved in cell digestion? What properties of that organelle allow it to carry out its task?

Find the direction and magnitude of magnetic force : A long, straight wire carrying a current of I experiences a magnetic field of B to the left and at one instant, an electron, a distance d (mm) from the wire travels at a velocity v(m/s) parallel to the wire and in the same direction as the current..

What is the efficient outcome of the frozen dispute : You have an insane roommate who plays “Let it Go” (from Frozen) on repeat on her phone all the time and thinks that everyone should put on pink tutus and sing very loudly and dance to it. You share your apartment with him and with three others. Shoul..

Working in a winery : You are working in a winery. You just determined that a wine sample contained 3.0 × 108 yeast/ml by measuring its turbidity. Now you want to double check the yeast concentration by viable cell counting. So, you are planning to perform a 10-fold seria..

Calculate the rate of change of the blood flow : In very cold weather, blood vessels in the hands and feet contract. Calculate dv/dt, the rate of change of the blood flow, at the centre of the blood vessel at that time.

Find an area with dim lighting to conduct : Find an area with dim lighting to conduct this experiment. Stand next to the participant and instruct him/her to focus on a distant object.

What is the average total cost : Suppose your business is currently employing 750 workers, the only variable input, at a wage rate of $48. The average product of labor is 96, the last worker added 6 units to total output, and total fixed cost is $12,000. What is Average Variable Cos..

How many bows can she make : Angie is making wreaths to sell at a craft show. She has 6.5 yards of ribbon. Each wreath has a bow made from 1 1/3 yards of ribbon. How many bows can she make

No temporary differences existed at the beginning of 2011 : Determine the amounts necessary to record income taxes for 2011 and prepare the appropriate journal entry.

User Account

All Pages