# Relationship between flow rate and viscosity cps

### Viscosity – The Physics Hypertextbook

The viscosity of a fluid is the measure of its resistance to gradual deformation by shear stress or . In many fluids, the flow velocity is observed to vary linearly from zero at the bottom to u . diffusivity"), defined as the ratio of the viscosity μ to the density of the fluid ρ. . It is sometimes expressed in terms of centistokes (cSt). Therefore, viscosity has a profound effect on the flow rate: m Re the relation between viscosity and shear rate, fluids can be classified as Newtonian and. Fluid Viscosity, sometimes referred to as dynamic viscosity or absolute as the ratio of shearing stress τ (Greek letter tau) to the rate of change of velocity, v, which because water at a temperature of 20°C has a viscosity of Centipoise.

Bingham plastics that behave as a solid at low stresses but flow as a viscous fluid at high stresses. Shear-thinning liquids are very commonly, but misleadingly, described as thixotropic.

For gases and other compressible fluidsit depends on temperature and varies very slowly with pressure. The viscosity of some fluids may depend on other factors. A magnetorheological fluidfor example, becomes thicker when subjected to a magnetic fieldpossibly to the point of behaving like a solid.

## Viscosity: The Basics

In solids[ edit ] The viscous forces that arise during fluid flow must not be confused with the elastic forces that arise in a solid in response to shear, compression or extension stresses. While in the latter the stress is proportional to the amount of shear deformation, in a fluid it is proportional to the rate of deformation over time.

For this reason, Maxwell used the term fugitive elasticity for fluid viscosity. However, many liquids including water will briefly react like elastic solids when subjected to sudden stress. Conversely, many "solids" even granite will flow like liquids, albeit very slowly, even under arbitrarily small stress. The extensional viscosity is a linear combination of the shear and bulk viscosities that describes the reaction of a solid elastic material to elongation.

It is widely used for characterizing polymers. In geologyearth materials that exhibit viscous deformation at least three orders of magnitude greater than their elastic deformation are sometimes called rheids. In everyday life, we mostly come across viscoelastic materials. That is, substances which are neither completely elastic, nor entirely viscous. The specific field of viscometry covers ideally viscous fluids, and — considering certain restrictions — also viscoelastic liquids, i.

Fluids which flow easily show a low resistance to deformation. They are low-viscosity fluids. High-viscosity fluids resist deformation. Consequently, they do not flow easily. Comparing high-viscosity fluid to low-viscosity fluid.

At the same temperature, the former flows slower than the latter. From ideally viscous liquids to elastic solids. Viscoelastic materials in everyday life. The two plates model Figure 3: The virtual viscous sandwich: Laminar flow consisting of infinitesimally thin layers.

• Fluid Viscosity Properties

The two-plates model provides a mathematical description for viscosity. Think of a kind of sandwich [1]: There are two plates with fluid placed in-between. The correct calculation of parameters related to viscosity depends on two criteria: The fluid does not glide along the plates but is in good contact with them. Scientifically speaking, an adhesive force operates between fluid and plates. The flow is laminar. It forms infinitesimally thin layers and no turbulence i.

What Is Cps In Terms Of Viscosity?

You can picture laminar flow as a stack of paper sheets or beer mats. The lower plate does not move. The upper plate drifts aside very slowly and subjects the fluid to a stress, which is parallel to its surface: Shear stress Figure 4: Using the two-plates model to calculate the shear stress.

Using the two-plates model to calculate the shear rate.

### Viscosity: The Basics - Chemical Engineering

Shear rate is the velocity of the moving plate divided by the distance between the plates. The two-plates model allows for calculating another parameter: The shear rate is the velocity of the upper plate in meters per second divided by the distance between the two plates in meters. Therefore, the viscosity eta is shear stress divided by shear rate. Only Newtonian liquids can be described by this simple relation. Dynamic viscosity is shear stress divided by shear rate. What are Newtonian liquids?

Brushing, rolling, or spraying are means of temporarily applying shear stress. This reduces the paint's viscosity to the point where it can now flow out of the applicator and onto the wall or ceiling. Once this shear stress is removed the paint returns to its resting viscosity, which is so large that an appropriately thin layer behaves more like a solid than a liquid and the paint does not run or drip.

Think about what it would be like to paint with water or honey for comparison. The former is always too runny and the latter is always too sticky. Toothpaste is another example of a material whose viscosity decreases under stress. Toothpaste behaves like a solid while it sits at rest inside the tube. It will not flow out spontaneously when the cap is removed, but it will flow out when you put the squeeze on it.

Now it ceases to behave like a solid and starts to act like a thick liquid. You don't have to worry about it flowing off the brush as you raise it to your mouth. Shear-thinning fluids can be classified into one of three general groups. A material that has a viscosity that decreases under shear stress but stays constant over time is said to be pseudoplastic. A material that has a viscosity that decreases under shear stress and then continues to decrease with time is said to be thixotropic.