State newton's law of viscosity

Answer 1

viscosity is the quantity that describes a fluid's resistance to flow. Fluids resist the relative motion of immersed objects through them as well as to the motion of layers with differing velocities within them. Formally, viscosity (represented by the symbol η "eta") is the ratio of the shearing stress (F/A) to the velocity gradient (Δvx/Δz or dvx/dz) in a fluid. η = ⎛

⎜

⎝ F ⎞

⎟

⎠ ÷ ⎛

⎜

⎝ Δvx ⎞

⎟

⎠ or η = ⎛

⎜

⎝ F ⎞

⎟

⎠ ÷ ⎛

⎜

⎝ dvx ⎞

⎟

⎠ A Δz A dz The more usual form of this relationship, called Newton's equation, states that the resulting shear of a fluid is directly proportional to the force applied and inversely proportional to its viscosity. The similarity to Newton's second law of motion (F = ma) should be apparent. F = η Δvx or F = η dvxA Δz A dz ⇕ ⇕ F = mΔv or F = m dv Δt dt The SI unit of viscosity is the pascal second [Pa·s], which has no special name. Despite its self-proclaimed title as an international system, the International System of Units has had very little international impact on viscosity. The pascal second is rarely used in scientific and technical publications today. The most common unit of viscosity is the dyne second per square centimeter [dyne·s/cm2], which is given the name poise [P] after the French physiologist Jean Louis Poiseuille (1799-1869). Ten poise equal one pascal second [Pa·s] making the centipoise [cP] and millipascal second [mPa·s] identical. 1 pascal second = 10 poise = 1,000 millipascal second

1 centipoise = 1 millipascal second

Answer 2

Newton's law of viscosity states that the shear stress between layers of a fluid is directly proportional to the velocity gradient between the layers and the dynamic viscosity of the fluid. Mathematically, it is expressed as τ = μ * du/dy, where τ is the shear stress, μ is the dynamic viscosity, and du/dy is the velocity gradient in the direction perpendicular to the flow.

Answer 3

Its regarding Newtonian fluid. It states - "The shear stress acting on a fluid is proportional to the rate of shear strain"

Answer 4

It states that shearing force per unit area is proportional to negative of velocity gradient.

Answer 5

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