DISTANCE}}\)\(\mu=\frac{\frac{Force}{Area}}{\frac{LENGTH}{Time}\times\frac{1}{Length}}\Rightarrow\frac{Force\;\times\;Time}{(Length)^2}\)\(\mu=\frac{Ns}{m^2}\)∴ the unit of dynamic viscosity in SI unit is Ns/m2 or Pa-s.The unit of force in the CGS system is dyne, the unit of length is cm and the unit of time is sec.\(\mu=\frac{dyne\;\times\;sec}{cm^2}\)\(\because1\;P=\frac{dyne\;\times\;sec}{cm^2}\)∴ the unit of dynamic viscosity in CGS system is 'Poise' and 1 Poise = 0.1 Ns/m2 or Pa-s.Kinematic viscosity:It is defined as the ratio between the dynamic viscosity and DENSITY of the fluid.\(\nu=\frac{\mu}{\rho}\)Units of kinematic viscosity:\(\nu=\frac{\mu}{\rho}\Rightarrow\frac{\frac{Force\;\times\;Time}{(Length)^2}}{\frac{Mass}{(Length)^3}}=\frac{Mass\times\frac{Length}{(Time)^2}\times{Time}}{\frac{Mass}{Length}}\)\(∴\nu=\frac{(Length)^2}{Time}\)∴ the SI unit of kinematic viscosity is m2/s and the CGS unit of kinematic viscosity is cm2/s or 'stoke'.1 stoke = 10-4 m2/s.

"> DISTANCE}}\)\(\mu=\frac{\frac{Force}{Area}}{\frac{LENGTH}{Time}\times\frac{1}{Length}}\Rightarrow\frac{Force\;\times\;Time}{(Length)^2}\)\(\mu=\frac{Ns}{m^2}\)∴ the unit of dynamic viscosity in SI unit is Ns/m2 or Pa-s.The unit of force in the CGS system is dyne, the unit of length is cm and the unit of time is sec.\(\mu=\frac{dyne\;\times\;sec}{cm^2}\)\(\because1\;P=\frac{dyne\;\times\;sec}{cm^2}\)∴ the unit of dynamic viscosity in CGS system is 'Poise' and 1 Poise = 0.1 Ns/m2 or Pa-s.Kinematic viscosity:It is defined as the ratio between the dynamic viscosity and DENSITY of the fluid.\(\nu=\frac{\mu}{\rho}\)Units of kinematic viscosity:\(\nu=\frac{\mu}{\rho}\Rightarrow\frac{\frac{Force\;\times\;Time}{(Length)^2}}{\frac{Mass}{(Length)^3}}=\frac{Mass\times\frac{Length}{(Time)^2}\times{Time}}{\frac{Mass}{Length}}\)\(∴\nu=\frac{(Length)^2}{Time}\)∴ the SI unit of kinematic viscosity is m2/s and the CGS unit of kinematic viscosity is cm2/s or 'stoke'.1 stoke = 10-4 m2/s.

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In C.G.S unit, dynamic viscosity is expressed as:

Fluid Mechanics Properties Of Fluids in Fluid Mechanics . 6 months ago

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Explanation:According to Newton's law of viscosity, shear stress is directly proportional to the rate of angular deformation (shear strain) or velocity gradient across the flow.\(τ\propto\frac{du}{dy}\)\(τ=μ\frac{du}{dy}\)where, τ = shear stress, μ = absolute or dynamic viscosity, du/dy = velocity gradient ⇒ dα/dt = rate of angular deformation (shear-strain).Units of Dynamic viscosity:\(\mu=\frac{\tau}{\frac{du}{dy}}\Rightarrow\frac{Shear\;stress}{\frac{Change\;in\;velocity}{Change\;in\;DISTANCE}}\)\(\mu=\frac{\frac{Force}{Area}}{\frac{LENGTH}{Time}\times\frac{1}{Length}}\Rightarrow\frac{Force\;\times\;Time}{(Length)^2}\)\(\mu=\frac{Ns}{m^2}\)∴ the unit of dynamic viscosity in SI unit is Ns/m2 or Pa-s.The unit of force in the CGS system is dyne, the unit of length is cm and the unit of time is sec.\(\mu=\frac{dyne\;\times\;sec}{cm^2}\)\(\because1\;P=\frac{dyne\;\times\;sec}{cm^2}\)∴ the unit of dynamic viscosity in CGS system is 'Poise' and 1 Poise = 0.1 Ns/m2 or Pa-s.Kinematic viscosity:It is defined as the ratio between the dynamic viscosity and DENSITY of the fluid.\(\nu=\frac{\mu}{\rho}\)Units of kinematic viscosity:\(\nu=\frac{\mu}{\rho}\Rightarrow\frac{\frac{Force\;\times\;Time}{(Length)^2}}{\frac{Mass}{(Length)^3}}=\frac{Mass\times\frac{Length}{(Time)^2}\times{Time}}{\frac{Mass}{Length}}\)\(∴\nu=\frac{(Length)^2}{Time}\)∴ the SI unit of kinematic viscosity is m2/s and the CGS unit of kinematic viscosity is cm2/s or 'stoke'.1 stoke = 10-4 m2/s.

Posted on 10 Nov 2024, this text provides information on Fluid Mechanics related to Properties Of Fluids in Fluid Mechanics. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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