Stoke’s Law is a mathematical equation that expresses the settling velocities of the small spherical particles in a fluid medium. The law is derived considering the forces acting on a particular particle as it sinks through the liquid column under the influence of gravity .
What is the Stokes law explain it class 11?
Stokes Law. Stokes Law. The force that retards a sphere moving through a viscous fluid is directly ∝to the velocity and the radius of the sphere , and the viscosity of the fluid.
What is Stokes law derive its expression?
According to Stokes law, if a spherical body falls into a viscous liquid then the force acting at the interface is proportional to – Radius of the spherical body, velocity of the sphere, and viscosity of this given fluid. ... You can derive this formula by writing the proportionality equation of Stokes law first.
What is Stokes laws derive the formula for this by dimensional method?
Suppose that the sphere has radius r and falls through a fluid of viscosity η. Let the terminal velocity be v (Figure 1). We can calculate the viscous drag F on the sphere by dimensional analysis. Solving this gives x = 1, y = 1 and z = 1.
What is Stokes law explain it with figure?
the law that the force that retards a sphere moving through a viscous fluid is directly proportional to the velocity of the sphere , the radius of the sphere, and the viscosity of the fluid. the law that the frequency of luminescence induced by radiation is usually less than the frequency of the radiation.
What is the SI unit of viscosity?
Dynamic viscosity: The SI physical unit of dynamic viscosity (μ) is the Pascal-second (Pa s) , which is identical to 1 kg m − 1 s − 1 . The physical unit for dynamic viscosity in the centimeter gram second system of units (cgs) is the poise (P), named after Jean Poiseuille.
What are the four conditions of Stokes law?
Conditions under which Stoke’s law is valid are:
The fluid through which the body moves must have infinite extension . The body is perfectly rigid and smooth. There is no slip between the body and the fluid. The motion of the body does not give rise to turbulent motion.
What is Stokes law and its limitations?
Stokes’ law is a generalized equation that describes how certain factors affect the rate of settling in dispersed systems . The implication is that, as the average particle size of suspended particles is increased, there is a dramatic effect on the resultant rate of sedimentation.
What is Stokes law used for?
Knowing the terminal velocity, the size and density of the sphere, and the density of the liquid, Stokes’ law can be used to calculate the viscosity of the fluid . A series of steel ball bearings of different diameters are normally used in the classic experiment to improve the accuracy of the calculation.
What is Bernoulli’s theorem Class 11?
Bernoulli’s principle states that an increase in the speed of a fluid occurs simultaneously with a decrease in static pressure or a decrease in the fluid’s potential energy .
What is dimensional formula of viscosity?
Viscosity = Force × [Area × Velocity] – 1 × Distance between layers. Or, η = [M 1 L 1 T – 2 ] × [M 0 L 2 T 0 ] – 1 × [M 0 L 1 T – 1 ] – 1 × [M 0 L 1 T 0 ] = [M 1 L – 1 T – 1 ]. Therefore, viscosity is dimensionally represented as [M 1 L – 1 T – 1 ] .
What is Terminal Velocity derive its formula?
The terminal velocity acquired by the ball of radius $r$ when dropped through a liquid of viscosity $eta$ and density $rho$ is, $v=dfrac{2{{r}^{2}}left( {{rho }_{o}}-rho right) g}{9eta }$. Note:Terminal velocity is defined as the maximum velocity attained by a body as it falls through a fluid.
What do you mean by Stokes law in laminar flow?
Stokes Law, named after George Gabriel Stokes, describes the relationship between the frictional force of a sphere moving in a liquid and other quantities (such as particle radius and velocity of the particle).
What is Bernoulli’s theorem in physics?
First derived (1738) by the Swiss mathematician Daniel Bernoulli, the theorem states, in effect, that the total mechanical energy of the flowing fluid, comprising the energy associated with fluid pressure, the gravitational potential energy of elevation, and the kinetic energy of fluid motion, remains constant .
What is the SI unit of viscosity * 1 point?
The SI unit of viscosity is the pascal second (Pa·s) or kg·m − 1 ·s − 1 .
