The flow rate of a Newtonian fluid is found to be proportional to the square root of the supply pressure. By what percentage must the supply pressure be increased to increase the flow rate of a Newtonian fluid by 25%

56.25%

Explanation:

Since flow rate of a Newtonian fluid is found to be proportional to the square root of the supply pressure then where P is pressure and Q is flow rate and k is a constant of proportionality. Ignoring k

Now let pressure 1 be then the differences in these two pressures expressed as a percentage will be