Are pressure and velocity directly proportional to each other, if not what is the relation between them, why?

Answer 1

No. Along any flow streamline, and assuming no gravitational effects, the change in pressure will be inversely proportional to the change in the square of the velocity.

If you're just talking about Newton's laws of motion, Newton's 2nd law says that net force is proportional to acceleration. Since pressure is just force divided by area, then you could say that pressure is proportional to acceleration. But since acceleration is the time derivative of velocity, this does not mean that velocity is likewise linearly proportional.

Answer 2

Pressure = Force/Area = mass x acceleration/Area =mass x change in velocity/timexArea
Assuming mass, time and area to be constant and initial velocity as zero, Force = k x velocity
Hence Force is directly proportional to velocity

Answer 3

Velocity head in feet = hv = static pressure or pressure head which would cause that velocity.

hv = v^2/2g, therefore pressure is proportional to the square of the velocity.

Velocity head in psi = hv in feet x density of the flowing fluid/144 = psi

Answer 4

velocity of sound = sq. root of elasticity of medium divided via density v = sq. root E / d enable us to evaluate velocity of sound in steel and that for the period of air v1 / v2 = sq. root (E1 / E2 divided via d1 / d2 ) i'm employing suffix a million for steel and a couple of for air steel is almost a million.6 million cases extra elastic than air so E1 / E2 = a million.6 x 10^6 density of steel is approximately 6000 cases extra advantageous than air so d1 / d2 = 6 x 10^3 exchange in v1 / v2 = sq. root (a million.6 x 10^6 / 6 x 10^3 ) supplies v1 approximately 18 cases that of v2 sound velocity not purely relies upon on density yet in addition on elasticity of medium

Answer 5

Pls, refer bernouli's theorem.*

Answer 6

no,(boyle's law,pv=constant)