What is Sutherland's Formula for Viscosity?
Sutherland's formula is a mathematical expression used to describe how the viscosity of a gas changes with temperature.The formula compares the viscosity (𝜇) of a gas at a given temperature (𝑇) to its viscosity at a reference temperature (T0). It shows that as the temperature increases, the viscosity increases. This relationship isn't linear; instead, it follows a specific curve determined by the formula. Sutherland's formula takes into account the specific behavior of each gas through a constant called the Sutherland's constant, different gases have different values for reflecting their unique molecular structures and interactions. Sutherland's formula helps engineers and scientists predict how gases will behave at high temperatures, which is crucial for designing efficient and safe systems in aerospace, combustion, and other fields
Why Viscosity Increases with Increase of Temperature in Gases?
Viscosity in gases tends to increase with temperature due to several factors. Firstly, as temperature rises, gas molecules gain kinetic energy, resulting in faster and more frequent collisions. These collisions disrupt the weak intermolecular forces present in gases, making it more difficult for molecules to move past each other smoothly. Additionally, the increased kinetic energy leads to a more tangled and chaotic motion within the gas, further increasing resistance to flow. Moreover, the higher temperature reduces the mean free path—the average distance a gas molecule travels between collisions—resulting in more frequent collisions and hence higher viscosity. Overall, the combined effect of increased collision frequency, disruption of intermolecular forces, and reduced mean free path contributes to the observed increase in viscosity with temperature in gases.
How to Calculate Dynamic Viscosity of Gases?
Dynamic Viscosity of Gases calculator uses Dynamic Viscosity of Fluid = (Sutherland Experimental Constant 'a'*Absolute Temperature of Fluid^(1/2))/(1+Sutherland Experimental Constant 'b'/Absolute Temperature of Fluid) to calculate the Dynamic Viscosity of Fluid, Dynamic viscosity of gases, also known as absolute viscosity, is a measure of a fluid's internal resistance to flow. Dynamic Viscosity of gases is a function of gas composition and static temperature. Sutherland's formula can be used to derive the dynamic viscosity of an ideal gas as a function of temperature. Dynamic Viscosity of Fluid is denoted by μ symbol.
How to calculate Dynamic Viscosity of Gases using this online calculator? To use this online calculator for Dynamic Viscosity of Gases, enter Sutherland Experimental Constant 'a' (a), Absolute Temperature of Fluid (T) & Sutherland Experimental Constant 'b' (b) and hit the calculate button. Here is how the Dynamic Viscosity of Gases calculation can be explained with given input values -> 0.13444 = (0.008*293^(1/2))/(1+211.053/293).