Flow rate= radius to the fourth power
The relationship between radius and fluid flow rate is inversely proportional. As radius goes down, fluid flow rate goes up. The highest fluid flow rate will be at the lowest radius.
exponential
higher temperature lower flow rate.
The answer you are looking for is exponential. Flow 4, Radius 1.5 Flow 12.6, Radius 2 Flow 30.7, Raduis 2.5 ....etc Linear growth continues to increase at the same rate, whereas exponential growth increases at an expanding rate. Linear growth 1+1=2 2+1=3 3+1=4 Exponential 2x3=6 3x3=9 4x3=12
At constant pressure and constant fluid density, larger pipe results in larger flow rate.
Viscosity is constant to the flow of the fluid.
the short the tube the faster the blood can get to the other side
Rate of flow varies as R^4 where R is the radius or Rate of flow = (k) x (R^4)
Physio Ex Answer: When the right vessel radius was increased the flow rate increases.
With the increase in flow rate the velocity of the fluid increases. and with the increase in velocity the pressure decreases, because there will be pressure drop (Refer Bernoulli's Theorm). So with increase in Flow rate the pressure decreases.
pi*radius squared*velocity
so that there is a linear relationship between the flow rate and position in the float within the tube.