# Relationship between flow rate and viscosity measurement

### VISCOSITY MEASUREMENT

[link] shows how viscosity is measured for a fluid. Two parallel In fact, there is a very simple relationship between horizontal flow and pressure. Flow rate Q. Depending on their viscosity behavior as a function of shear rate, stress, the flow behavior of fluids with a simple linear relation between shear stress [mPa] and they allow measurements of true viscosity over a wide range of shear rates . Viscosity is the resistance of a fluid to flow. Two examples of (b) Describe the relationship between fl ow rate and viscosity. b) The flow rate.

Typical shear-thickening behavior is also shown.

The lower plateau is sometimes impossible to measure using a simple viscometer, and often using a limited range of investigation, workers have introduced the concept of a yield stress. This is still a useful concept for measurements made over a limit range, and the curve can be described as such mathematically, but it should be remembered that there is always a finite and constant viscosity at low enough stresses. Other departures from this simple curve are due to various artifacts, as now described.

The concentric cylinder is particularly subject to this problem, being the most frequently used for measuring low viscosity liquids when a defined shear rate is needed for non-Newtonian liquids. The onset of this form of secondary flow is seen in this geometry when the inner cylinder is rotated, and is governed by the so-called Taylor NumberTc, and is given by: The value of Tc for small gaps isbut varies with gap as: See also Taylor Instability.

### Viscosity - Wikipedia

When the outer cylinder is rotated and the inner is stationery, there is a sharp and catastrophic transition from laminar to turbulent flow, without the vortex stage, however, this occurs at a Reynolds Number of 15, where the Reynolds number is defined as: In practice therefore, this is rarely seen in commercial viscometers, which seldom rotate the outer cylinder as a means of generating flow.

Other geometries give similar effects, however they are not so often used for low viscosity liquids where the effect is most marked. In all cases, the inertial effect imposes a maximum useable shear rate in the particular geometry. Turbulence also becomes a problem in capillary or pipe flows. The double-gap concentric cylinder geometry. Go back several chapters and get yourself some education.

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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. 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.

### Flow Rate And Viscosity by Tanvir 1D on Prezi

The former is always too runny and the latter is always too sticky. The fluids without a constant viscosity non-Newtonian fluids cannot be described by a single number. Non-Newtonian fluids exhibit a variety of different correlations between shear stress and shear rate.

One of the most common instruments for measuring kinematic viscosity is the glass capillary viscometer. In coating industries, viscosity may be measured with a cup in which the efflux time is measured. There are several sorts of cup — such as the Zahn cup and the Ford viscosity cup — with the usage of each type varying mainly according to the industry.

The efflux time can also be converted to kinematic viscosities centistokes, cSt through the conversion equations.

## VISCOSITY MEASUREMENT

The viscosity is reported in Krebs units KUwhich are unique to Stormer viscometers. Vibrating viscometers can also be used to measure viscosity.

Resonant, or vibrational viscometers work by creating shear waves within the liquid. In this method, the sensor is submerged in the fluid and is made to resonate at a specific frequency.

As the surface of the sensor shears through the liquid, energy is lost due to its viscosity. This dissipated energy is then measured and converted into a viscosity reading. A higher viscosity causes a greater loss of energy.