# Relationship between pressure and kinematic viscosity

### Fluid Viscosity Properties, including Dynamic Viscosity, Absolute Viscosity and Kinematic Viscosity

The diffusion coefficient D, kinematic viscosity v, and the thermal diffusivity α = kpc . From the definitions () and (), the relation between Pe and Re is: . Weibull expressed the viscosity-pressure relationship in logarithmic form. NASA Logo - Web Link to danunah.info The coefficient of dynamic viscosity relates the shear stress in a fluid to the gradient of The value of the dynamic viscosity coefficient is found to be a constant with pressure but the value depends on the. At this link, Viscosity, you will find Sutherland's law for viscosity of gases and you will "In most cases, a fluid's viscosity increases with increasing pressure. What will be the effect of temperature on kinematic viscosity of gases and liquids?.

Newton's law of viscosity is a constitutive equation like Hooke's lawFick's lawand Ohm's law: Gaseswaterand many common liquids can be considered Newtonian in ordinary conditions and contexts. There are many non-Newtonian fluids that significantly deviate from that law in some way or other. Shear-thickening liquids, whose viscosity increases with the rate of shear strain.

Shear-thinning liquids, whose viscosity decreases with the rate of shear strain. Thixotropic liquids, that become less viscous over time when shaken, agitated, or otherwise stressed. Rheopectic dilatant liquids, that become more viscous over time when shaken, agitated, or otherwise stressed. 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.

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. Scientists specify solid materials as being elastic and liquids as being viscous.

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.

## Fluid Viscosity Properties

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.

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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.

### Basics of viscometry :: Anton Paar Wiki

The two plates model Figure 3: The virtual viscous sandwich: Laminar flow consisting of infinitesimally thin layers. 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.

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The flow is laminar. It forms infinitesimally thin layers and no turbulence i. 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.

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.

**Problem to determine Kinematic Viscosity of Oil**

Dynamic viscosity is shear stress divided by shear rate. If you know the size and density of the sphere and the density of the liquid, you can determine the viscosity of the liquid.

### Viscosity - Wikipedia

If you don't know the density of the liquid you can still determine the kinematic viscosity. If you don't know the density of the sphere, but you know its mass and radius, well then you do know its density.

Why are you talking to me? Go back several chapters and get yourself some education. Should I write more? A newtonian fluid is one in which the viscosity is just a number. A non-newtonian fluid is one in which the viscosity is a function of some mechanical variable like shear stress or time. Non-newtonian fluids that change over time are said to have a memory.

Some gels and pastes behave like a fluid when worked or agitated and then settle into a nearly solid state when at rest. Such materials are examples of shear-thinning fluids. House paint is a shear-thinning fluid and it's a good thing, too. Brushing, rolling, or spraying are means of temporarily applying shear stress.