Consider the following situation:
|Newtonian flow of fluid|
Shear stress is given by, τ = Force/Area
Shear Rate, γ = Small change in velocity (dv)/Small height (dh)
Newton's law of flow: According to Newton's law of fluid, Shear stress is directly proportional to the shear rate.
τ α γ or τ = ηγ
|Graphical representation of Newtonian fluids|
- Here, proportionality sign η represents the dynamic velocity having unit Pascal. SI unit is Poise.
- Kinematic Viscosity is given as, Dynamic Viscosity(η)/ Density of the fluid (ρ). Units are meter square per second or stokes.
- Fluids obeying Newton's law of fluid are known as Newtonian fluids. e.g. water, Benzene, Mineral oil, sugar solution etc.
Non-Newtonian systems: Fluids which do not obey Newton's law of flow.
a) Pseudoplastic behaviour: In this fluid, viscosity is inversely proportional to the shear rate. In other words, as the rate of shear is increased viscosity of these fluid decreases. Expressions for these fluid is; τ = Kγn, where n is less than 1.
e.g. Suspensions, Dispersion, Creams, Lotions, Gels etc.
b) Dilatant: In this fluid, viscosity is directly proportional to the shear rate. In other words, as the rate of shear is increased viscosity of these fluid decreases. Expressions for these fluid is; τ = Kγn, where n is greater than 1.
e.g. Surfactant solution, Corn starch dispersion, Wet sand etc.
c) Plastic fluid (Bingham bodies): These types of fluid do not show any shear rate initially after applying shear stress. After a certain value of shear stress they start behaving like Newtonian fluid. Toothpaste is the classic example of plastic fluid.
|Bingham bodies (Plastic flow)|
- Yield point(τ0): It is the max value of shear stress (τ) at which shear stress remains 0 in plastic bodies.
e.g. Paints, Ketchup, Pastes etc.
e) Rheopexy: This is totally opposite to the thixotropy and therefore also known as negative thixotropy. In this type of behavior, viscosity of the fluid is increased with shear stress, after removal of the stress fluid returns to the normal. Such systems are also known as Sol-Gel-Sol transformation.
e.g. Latex dispersion.
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