What is the Stokes law explain?
What is the Stokes law explain?
Stoke’s Law states that the force that retards a sphere moving through a viscous fluid is directly proportional to the velocity and the radius of the sphere, and the viscosity of the fluid.
What is the purpose of Stokes?
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.
Which of the following is are the example of creeping flow?
Creeping flow at zero Reynolds number is called Stokes flow. Examples of creeping flow include very small objects moving in a fluid, such as the settling of dust particles and the swimming of microorganisms.
What are the characteristics of creeping flow?
The characteristic of creeping flow past a fluid sphere enclosed in a spherical envelope bearing fluid of different viscosity has been studied under the impact of transverse magnetic field. Stream functions related to modified Bessel functions are used in order to calculate the solution in closed form.
What are the applications of Stokes law?
Applications of Stoke’s law are as follows: 1. Rain drop do not acquire alarmingly high velocity during their free fall. If this does not happen a person moving in rain would get hurt.
What is a Stokes fluid?
Stokes flow (named after George Gabriel Stokes), also named creeping flow or creeping motion, is a type of fluid flow where advective inertial forces are small compared with viscous forces.
What is Reynolds number for Stokes flow?
The Reynolds number allows one to test the applicability of Stokes approximation to fluids. The Stokes approximation holds exactly in the limit as this ratio goes to zero [17,18,19,20,21,22]. For this reason, Stokes flows are often called low Reynolds number, non-inertial or viscous flows.
Is Stokes flow laminar?
Stokes flow, also named creeping flow or creeping motion, is a type of fluid flow where advective inertial forces are small compared with viscous forces. This is a type of laminar flow, where streamlines are parallel to each other as shown in Figure 1 and the Reynolds number, Re<<1 [1,2].
What factors affect Stokes law?
Stoke’s Law Derivation The viscous force acting on a sphere is directly proportional to the following factors: Coefficient of viscosity (η). The radius of the sphere (r). The velocity of the object (v).
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 viscosity by Stokes method?
Stoke’s law was established by an English scientist Sir George G Stokes (1819-1903). When a spherical body moves down through an infinite column of highly viscous liquid, it drags the layer of the liquid in contact with it. As a result, the body experiences a retarding force.
Which is the practical examples of stokes law?
Come down from parachute: While jumping from an airplane, parachute helps us to land safely on the earth. A man coming down with the help of a parachute acquires constant terminal velocity. Stoke’s law helps a person coming down by making use of a parachute, to reduce.
Is Stokes flow reversible?
Because Stokes equations (2.6)–(2.7) are steady and linear, the motion they predict is reversible in time.
What are limitations of Stokes law?
Limitations of Stokes’ Law Some colloidal particles of the same mass fall slower than others due to the difference in the shapes of particles. Many fast-falling particles may drag finer particles down along with them.
What is the two application of stokes law?
There are several applications of Stokes’ law, such as testing the viscosities of fluid, studying fog and rain, and industrial applications, such as separating particulates from drilling mud and separating oil from wastewater.
What are the applications of Stokes theorem?
Stokes Theorem Applications Stokes’ theorem provides a relationship between line integrals and surface integrals. Based on our convenience, one can compute one integral in terms of the other. Stokes’ theorem is also used in evaluating the curl of a vector field.
What is the meaning of Stokes flow?
Stokes flow (named after George Gabriel Stokes ), also named creeping flow or creeping motion, is a type of fluid flow where advective inertial forces are small compared with viscous forces. The Reynolds number is low, i.e. .
What is the no slip condition for Stokes flow?
116 CHAPTER 7. STOKES FLOW The condition at infinity requires that A= B= 0. The no-slip conditions then yield Ca+ Da−1= 0, C−Da−2= 0, (7.43) which imply C= D= 0. There is not satisfactory steady solution of the two- dimensional Stokes equations representing flow of an unbounded fluid past a circular cylinder.
What is the time dependent on a Stokes flow?
A Stokes flow has no dependence on time other than through time-dependent boundary conditions. This means that, given the boundary conditions of a Stokes flow, the flow can be found without knowledge of the flow at any other time.
How do Stokes flow relative to a coordinate system?
STOKES FLOW relative to a coordinate system moving with constant velocity U relative to the fluid at infinity. Suppose that the fluid dynamics is that of Stokes flow. If the sequence of configurations is indistinguishable from the time reversed sequence, then U = 0 and the body does not locomote.