Apha= V drag/ h
In fluid mechanics, shear stress is the force per unit area applied parallel to the surface of a fluid, while shear rate is the rate at which adjacent layers of fluid move past each other. The relationship between shear stress and shear rate is described by Newton's law of viscosity, which states that shear stress is directly proportional to shear rate. This means that as the shear rate increases, the shear stress also increases proportionally.
Shear rate and viscosity are related to each other. According to shear rate and viscosity we can classifying the materials especially paints. Fluids are divided into two types like 1.NEWNONION FLUIDS and 2.NON NWETONINON FLUIDS based on shear rate and viscosity. In fluids if there no change in viscosity with respective shear rate, such type fluids are known as nwetonion fluids. Viscosity changes with respective shear rate such type of fluids are known as non nwetonion fluids.
Viscosity is constant to the flow of the fluid.
all fluids have no shear strergths the rate with that they deform will vary with the fluid.
In a power law equation for a fluid, the value of ( n ) typically represents the flow behavior index. If ( n < 1 ), the fluid is considered shear-thinning (pseudoplastic), meaning its viscosity decreases with an increase in shear rate. If ( n > 1 ), the fluid is shear-thickening (dilatant), indicating that its viscosity increases with shear rate. If ( n = 1 ), the fluid behaves as a Newtonian fluid, maintaining a constant viscosity regardless of shear rate.
The zero shear viscosity is the value of the apparent viscosity (quotient between shear stress and shear rate) of a liquid in the limit of zero shear rate (i.e., when the fluid it is at rest). Therefore it is not the result of a direct measure but a calculus or interpolation from experimental results at the lower shear rates values. The most important thing is its physical meaning. It represents the ability of the material to avoid sedimentation when storage. A high zero shear viscosity is interpreted as a the material will show homogeneous during long storage.
Shear is the rate at which bending moment changes or shear is its derivative with respect to span. The integral, bending moment, goes through a maximum when shear goes from positive to negative or vice-versa.
Infinite shear viscosity refers to the viscosity of a fluid measured at very high shear rates, where the flow behavior becomes independent of the rate of shear applied. In this regime, the fluid's resistance to flow stabilizes, allowing for a consistent measurement of its viscosity. This concept is particularly relevant in materials that exhibit non-Newtonian behavior, where viscosity can change based on the shear rate. Infinite shear viscosity is critical in understanding the flow behavior of complex fluids such as polymers and suspensions.
The viscosity of oil is the rate that it flows, and its resistance to shear forces.
The study of non-Newtonian fluids involves understanding fluids that do not follow Newton's law of viscosity. These fluids exhibit unique behaviors such as shear-thinning (viscosity decreases with increased shear rate) or shear-thickening (viscosity increases with increased shear rate). Understanding these behaviors is important in various industries such as food processing, cosmetics, and medicine.
Newtonian fluids are fluids that have a constant viscosity, such as water and most oils. When subjected to shear stress, Newtonian fluids exhibit a linear relationship between the shear rate and shear stress, meaning they flow consistently and predictably.
A shear thinning non-Newtonian fluid is a type of fluid whose viscosity decreases as the shear rate increases. This means that when the fluid is subjected to stress or agitation, it becomes less viscous and flows more easily. Common examples include ketchup and paint, which become easier to pour or spread when shaken or stirred. This behavior contrasts with Newtonian fluids, whose viscosity remains constant regardless of the shear rate.