Dynamic Viscosity of Liquids Solution

STEP 0: Pre-Calculation Summary
Formula Used
Dynamic Viscosity Fluid = Experimental Constant 'A'*e^((Experimental Constant 'B')/(Absolute Temperature of Fluid))
μ = A*e^((B)/(T))
This formula uses 1 Constants, 4 Variables
Constants Used
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Variables Used
Dynamic Viscosity Fluid - (Measured in Pascal Second) - Dynamic Viscosity Fluid is the measure of fluid's resistance to flow when an external shear force is applied between the layers of fluid.
Experimental Constant 'A' - Experimental Constant 'A' is the empirical constant according to the conditions given by Arrhenius dynamic viscosity equation for liquids.
Experimental Constant 'B' - Experimental Constant 'B' is the empirical constant according to the conditions given by Arrhenius dynamic viscosity equation for liquids.
Absolute Temperature of Fluid - (Measured in Kelvin) - Absolute temperature of fluid is refers to the measurement of intensity of heat energy present in fluid in kelvin scale. Where 0 K, represents as the absolute zero temperature.
STEP 1: Convert Input(s) to Base Unit
Experimental Constant 'A': 0.04785 --> No Conversion Required
Experimental Constant 'B': 149.12 --> No Conversion Required
Absolute Temperature of Fluid: 293 Kelvin --> 293 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μ = A*e^((B)/(T)) --> 0.04785*e^((149.12)/(293))
Evaluating ... ...
μ = 0.0795999207638759
STEP 3: Convert Result to Output's Unit
0.0795999207638759 Pascal Second --> No Conversion Required
FINAL ANSWER
0.0795999207638759 0.0796 Pascal Second <-- Dynamic Viscosity Fluid
(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad
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Applications of Fluid Force Calculators

Dynamic Viscosity of Gases
​ LaTeX ​ Go Dynamic Viscosity Fluid = (Sutherland Experimental Constant 'a'*Absolute Temperature of Fluid^(1/2))/(1+Sutherland Experimental Constant 'b'/Absolute Temperature of Fluid)
Dynamic Viscosity of Fluids
​ LaTeX ​ Go Dynamic Viscosity Fluid = (Shear Stress on Lower Surface*Distance Between Plates Carrying Fluid)/Velocity of Moving Plate
Dynamic Viscosity of Liquids
​ LaTeX ​ Go Dynamic Viscosity Fluid = Experimental Constant 'A'*e^((Experimental Constant 'B')/(Absolute Temperature of Fluid))
Friction Factor given Frictional Velocity
​ LaTeX ​ Go Darcy's Friction Factor = 8*(Friction Velocity/Mean Velocity)^2

Dynamic Viscosity of Liquids Formula

​LaTeX ​Go
Dynamic Viscosity Fluid = Experimental Constant 'A'*e^((Experimental Constant 'B')/(Absolute Temperature of Fluid))
μ = A*e^((B)/(T))

What is Arrhenius Equation?

Arrhenius equation provides an relationship between viscosity and temperature in liquids. If the viscosity of a liquid is known at two different temperatures, this information can be used to evaluate the parameters "A" and "B", which then permits the calculation of the viscosity at any other temperature.

Why Viscosity Decreases with Increase of Temperature in Liquids?

In liquids, viscosity typically decreases with an increase in temperature due to changes in molecular behavior. As temperature rises, the kinetic energy of liquid molecules increases, causing them to move more rapidly. This increased motion disrupts the cohesive forces between molecules, such as hydrogen bonding or van der Waals forces, which contribute to viscosity by impeding the flow of the liquid. As these intermolecular forces weaken with higher temperatures, the liquid molecules can move more freely past each other, resulting in lower resistance to flow and a decrease in viscosity. Additionally, the higher thermal energy at elevated temperatures can also lead to increased molecular spacing and decreased density, further reducing viscosity. Overall, the combination of weakened intermolecular forces and increased molecular motion accounts for the observed decrease in viscosity with temperature in liquids.

How to Calculate Dynamic Viscosity of Liquids?

Dynamic Viscosity of Liquids calculator uses Dynamic Viscosity Fluid = Experimental Constant 'A'*e^((Experimental Constant 'B')/(Absolute Temperature of Fluid)) to calculate the Dynamic Viscosity Fluid, Dynamic Viscosity of Liquids formula is defined as the measure of a fluid's resistance to flow under an applied shear stress, which is dependent on the temperature of the fluid and is a critical parameter in the design of pipelines, pumps, and other fluid-handling equipment. Dynamic Viscosity Fluid is denoted by μ symbol.

How to calculate Dynamic Viscosity of Liquids using this online calculator? To use this online calculator for Dynamic Viscosity of Liquids, enter Experimental Constant 'A' (A), Experimental Constant 'B' (B) & Absolute Temperature of Fluid (T) and hit the calculate button. Here is how the Dynamic Viscosity of Liquids calculation can be explained with given input values -> 0.04785 = 0.04785*e^((149.12)/(293)).

FAQ

What is Dynamic Viscosity of Liquids?
Dynamic Viscosity of Liquids formula is defined as the measure of a fluid's resistance to flow under an applied shear stress, which is dependent on the temperature of the fluid and is a critical parameter in the design of pipelines, pumps, and other fluid-handling equipment and is represented as μ = A*e^((B)/(T)) or Dynamic Viscosity Fluid = Experimental Constant 'A'*e^((Experimental Constant 'B')/(Absolute Temperature of Fluid)). Experimental Constant 'A' is the empirical constant according to the conditions given by Arrhenius dynamic viscosity equation for liquids, Experimental Constant 'B' is the empirical constant according to the conditions given by Arrhenius dynamic viscosity equation for liquids & Absolute temperature of fluid is refers to the measurement of intensity of heat energy present in fluid in kelvin scale. Where 0 K, represents as the absolute zero temperature.
How to calculate Dynamic Viscosity of Liquids?
Dynamic Viscosity of Liquids formula is defined as the measure of a fluid's resistance to flow under an applied shear stress, which is dependent on the temperature of the fluid and is a critical parameter in the design of pipelines, pumps, and other fluid-handling equipment is calculated using Dynamic Viscosity Fluid = Experimental Constant 'A'*e^((Experimental Constant 'B')/(Absolute Temperature of Fluid)). To calculate Dynamic Viscosity of Liquids, you need Experimental Constant 'A' (A), Experimental Constant 'B' (B) & Absolute Temperature of Fluid (T). With our tool, you need to enter the respective value for Experimental Constant 'A', Experimental Constant 'B' & Absolute Temperature of Fluid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Dynamic Viscosity Fluid?
In this formula, Dynamic Viscosity Fluid uses Experimental Constant 'A', Experimental Constant 'B' & Absolute Temperature of Fluid. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Dynamic Viscosity Fluid = (Shear Stress on Lower Surface*Distance Between Plates Carrying Fluid)/Velocity of Moving Plate
  • Dynamic Viscosity Fluid = (Sutherland Experimental Constant 'a'*Absolute Temperature of Fluid^(1/2))/(1+Sutherland Experimental Constant 'b'/Absolute Temperature of Fluid)
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