VISCOSITY
Viscosityisaquantitativemeasureofafluid’s
resistance toflow.
It is defined as the internal friction offluid.
Lack of slipperiness is called asviscosity.
Dynamic (or Absolute)Viscosity:
The dynamic viscosity(η) of a fluid is a measure of
the resistance it offers to relative shearingmotion.
η= F/[A×(u/h)]
η=τ/(u/h)N-s/m²
NEWTON’S LAW OF
VISCOSITY
Newton’slawofviscositystatesthat“shear
stressisdirectlyproportionaltovelocity
gradient”.
Thatistheshearstressbetweenthetwo
adjacentlayersoffluidisdirectlyproportional
tothenegativevalueofthevelocitygradient
betweenthesametwoadjacentfluidlayers.
(Furthermathematicallydescribedin
Newtonianfluidtopic)
Continue…..
TheyobeytheNewton’slawof viscosity,
whichis
τ=µdu/dy
The constant of proportionality is known as the
viscosity.
τ = shear stress exerted by the fluid("drag")
μ = fluid viscosity -a constant ofproportionality
du/dy=velocitygradientperpendiculartothe
direction ofshear.
WHAT IS STRESS ANDSHEAR
RATE?
Stress
Thestressappliedtoamaterialistheforce
perunitareaappliedtothematerial.The
maximumstressamaterialcanstandbeforeit
breaksiscalledthebreakingstressorultimate
tensilestress.
Shearrate
istherateatwhichaprogressiveshearing
deformationisappliedtosomematerial
WHAT IS STRAIN ANDSTRAIN
RATE?
Strain
Theratioofextensiontooriginallengthis
calledstrainithasnounitsasitisaratioof
twolengthsmeasuredinmeters.
Strainrate
isthechangeinstrain(deformation)ofa
materialwithrespecttotime.
Newtonian fluids And
Non -Newtonianfluids
TWO BASIC TYPES OF FLUIDS
REGARDING THIER VISCOSITY
BEHAVIOUR
Bingam plastic
Fluid
A Bingham plastic is a material that behaves as a rigid body at
low stresses but flows as a viscous fluid at high stress. It is
named after Eugene C. Bingham who proposed its mathematical
form.
THE BEHAVIOR OF THEFLUID
CAN BE DESCRIBED IN FOUR
WAYS.
Dilatant
Pseudoplastic
ThixotropicFluid
Rheopecticfluid
DILATANT
PSEUDOPLASTIC
TIMEINDEPENDENT
DILATANT
Viscosity ofthefluidincreases when shear is
applied.
Examples
Quicksand
Cornflour
Starch inwater
Potassium silicate inwater.