velocity Force A dx y For solids dx is constant and is a function of F/A and y For liquids dx changes with time and a resulting velocity of The upper plane is a result. The velocity is constant and is a function F/A and y
y Force A dx velocity For solids dx is constant and is a function of F/A and y For liquids dx changes with time and a resulting velocity of The upper plane is a result. The velocity is constant and is a function F/A and y
Terms and Units F Flow shear stress =o A dx velocity dx shear strain=y y Force Area=A d shear rate y dt 2 y y Modulus(solids)-G= Visquds）=7=7
Flow y v y dt dx shear rate y dx shear strain A F shear stress cos ( ) ( ) Vis ity liquids Modulus solids G Terms and Units y Area = A Force velocity dx
Extensional Viscosity o=% h ,dh Force Velocity 6 h 6-
Extensional Viscosity Force Velocity e e e h V h dh A F h dh
Situation Shear Rate Examples Range/s1 Sedimentation of fine 10-6-103 Medicines,paints,salad powders in liquids dressing Levelling due to surface 102-101 Paints,printing inks tension Draining off surfaces 10-1-101 Toilet bleaches,paints,coatings under gravity Extruders 100-102 Polymers,foods soft solids Chewing and 101-102 Foods swallowing Dip coating 101-102 Paints,confectionery Mixing and stirring 101-103 Liquids manufacturing Pipe flow 100-103 Pumping liquids,blood flow Brushing 103-104 Painting Rubbing 104-105 Skin creams,lotions High-speed coating 104-106 Paper manufacture Spraying 105-106 Atomisation,spray drying Lubrication 103-107 Bearings,engines
Newtonian Fluids "The beginning of wisdom is to call things by their right names" A Chinese proverb O slope n 0=7y
Newtonian Fluids slope “ The beginning of wisdom is to call things by their right names” A Chinese proverb