Viscosity using Viscometer Solution

STEP 0: Pre-Calculation Summary
Formula Used
Dynamic Viscosity = ((Torque*Thickness of Fluid Layer)/(4*(pi^2)*(Radius of Inner Cylinder^3)*Revolutions per Second*Length of Cylinder))
μD = ((T*ℓ)/(4*(pi^2)*(R^3)*ṅ*L))
This formula uses 1 Constants, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Dynamic Viscosity - (Measured in Pascal Second) - Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Torque - (Measured in Newton Meter) - Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.
Thickness of Fluid Layer - (Measured in Meter) - Thickness of Fluid Layer is defined as the thickness of the layer of fluid of which viscosity needs to be calculated.
Radius of Inner Cylinder - (Measured in Meter) - The Radius of Inner Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder.
Revolutions per Second - (Measured in Hertz) - Revolutions per second are the number of times the shaft rotates in a second. It is a frequency unit.
Length of Cylinder - (Measured in Meter) - Length of cylinder is the vertical height of the cylinder.
STEP 1: Convert Input(s) to Base Unit
Torque: 1.8 Newton Meter --> 1.8 Newton Meter No Conversion Required
Thickness of Fluid Layer: 0.0015 Meter --> 0.0015 Meter No Conversion Required
Radius of Inner Cylinder: 0.06 Meter --> 0.06 Meter No Conversion Required
Revolutions per Second: 5.3 Revolution per Second --> 5.3 Hertz (Check conversion here)
Length of Cylinder: 0.4 Meter --> 0.4 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μD = ((T*ℓ)/(4*(pi^2)*(R^3)*ṅ*L)) --> ((1.8*0.0015)/(4*(pi^2)*(0.06^3)*5.3*0.4))
Evaluating ... ...
μD = 0.149353159850144
STEP 3: Convert Result to Output's Unit
0.149353159850144 Pascal Second --> No Conversion Required
FINAL ANSWER
0.149353159850144 Pascal Second <-- Dynamic Viscosity
(Calculation completed in 00.000 seconds)

Credits

Created by Ayush gupta
University School of Chemical Technology-USCT (GGSIPU), New Delhi
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Verified by Prerana Bakli
National Institute of Technology (NIT), Meghalaya
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9 Basic Formulas Calculators

Hydrostatic Force on Curved Submerged Surface
Go Hydrostatic Force = sqrt((Density*[g]*Volume)^2+(Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area)^2)
Height of Capillary Rise or Fall
Go Height of Capillary Rise/Fall = 4*Surface Tension*cos(Angle of Contact between Liquid and Capillary Tube)/(Density*[g]*Diameter of Tube)
Viscosity using Viscometer
Go Dynamic Viscosity = ((Torque*Thickness of Fluid Layer)/(4*(pi^2)*(Radius of Inner Cylinder^3)*Revolutions per Second*Length of Cylinder))
Head Loss due to Friction
Go Head loss = Darcy Friction Factor*Fluid Velocity^(2)*Length of Pipe/(Pipe Diameter*2*[g])
Shear Force acting on Newtonian Fluid Layer
Go Shear Force = (Dynamic Viscosity*Contact Area*Velocity of Fluid)/(Distance Between Two Plates)
Hydrostatic Force on Horizontal Plane Submerged Surface
Go Hydrostatic Force = Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area
Discharge Rate of Liquid from Orifice in Tank
Go Flowrate = Area of Orifice*(sqrt(2*[g]*Height of Tank))
Momentum Diffusivity
Go Momentum Diffusivity = Dynamic Viscosity/Density
Fanning Friction Factor using Darcy Friction Factor
Go Fanning Friction Factor = Darcy Friction Factor/4

Viscosity using Viscometer Formula

Dynamic Viscosity = ((Torque*Thickness of Fluid Layer)/(4*(pi^2)*(Radius of Inner Cylinder^3)*Revolutions per Second*Length of Cylinder))
μD = ((T*ℓ)/(4*(pi^2)*(R^3)*ṅ*L))

What is Fluid Mechanics?

Fluid dynamics is “the branch of applied science that is concerned with the movement of liquids and gases”. It involves a wide range of applications such as calculating force & moments, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space, and modelling fission weapon detonation.

What are the Applications of Fluid Dynamics?

Fluid Dynamics can be applied in the following ways: Fluid dynamics is used to calculate the forces acting upon the aeroplane. It is used to find the flow rates of material such as petroleum from pipelines. It can also be used in traffic engineering (traffic treated as continuous liquid flow).

How to Calculate Viscosity using Viscometer?

Viscosity using Viscometer calculator uses Dynamic Viscosity = ((Torque*Thickness of Fluid Layer)/(4*(pi^2)*(Radius of Inner Cylinder^3)*Revolutions per Second*Length of Cylinder)) to calculate the Dynamic Viscosity, The Viscosity using Viscometer formula is defined as the function of torque, thickness of fluid layer, radius of inner cylinder, revolutions per second & length of cylinder. In one-dimensional shear flow of Newtonian fluids, shear stress can be expressed by the linear relationship where the constant of proportionality 𝜇 is called the coefficient of viscosity or the dynamic (or absolute) viscosity of the fluid. The rate of deformation (velocity gradient) of a Newtonian fluid is proportional to shear stress, and the constant of proportionality is the viscosity. Dynamic Viscosity is denoted by μD symbol.

How to calculate Viscosity using Viscometer using this online calculator? To use this online calculator for Viscosity using Viscometer, enter Torque (T), Thickness of Fluid Layer (ℓ), Radius of Inner Cylinder (R), Revolutions per Second (ṅ) & Length of Cylinder (L) and hit the calculate button. Here is how the Viscosity using Viscometer calculation can be explained with given input values -> 0.149353 = ((1.8*0.0015)/(4*(pi^2)*(0.06^3)*5.3*0.4)).

FAQ

What is Viscosity using Viscometer?
The Viscosity using Viscometer formula is defined as the function of torque, thickness of fluid layer, radius of inner cylinder, revolutions per second & length of cylinder. In one-dimensional shear flow of Newtonian fluids, shear stress can be expressed by the linear relationship where the constant of proportionality 𝜇 is called the coefficient of viscosity or the dynamic (or absolute) viscosity of the fluid. The rate of deformation (velocity gradient) of a Newtonian fluid is proportional to shear stress, and the constant of proportionality is the viscosity and is represented as μD = ((T*ℓ)/(4*(pi^2)*(R^3)*ṅ*L)) or Dynamic Viscosity = ((Torque*Thickness of Fluid Layer)/(4*(pi^2)*(Radius of Inner Cylinder^3)*Revolutions per Second*Length of Cylinder)). Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ, Thickness of Fluid Layer is defined as the thickness of the layer of fluid of which viscosity needs to be calculated, The Radius of Inner Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder, Revolutions per second are the number of times the shaft rotates in a second. It is a frequency unit & Length of cylinder is the vertical height of the cylinder.
How to calculate Viscosity using Viscometer?
The Viscosity using Viscometer formula is defined as the function of torque, thickness of fluid layer, radius of inner cylinder, revolutions per second & length of cylinder. In one-dimensional shear flow of Newtonian fluids, shear stress can be expressed by the linear relationship where the constant of proportionality 𝜇 is called the coefficient of viscosity or the dynamic (or absolute) viscosity of the fluid. The rate of deformation (velocity gradient) of a Newtonian fluid is proportional to shear stress, and the constant of proportionality is the viscosity is calculated using Dynamic Viscosity = ((Torque*Thickness of Fluid Layer)/(4*(pi^2)*(Radius of Inner Cylinder^3)*Revolutions per Second*Length of Cylinder)). To calculate Viscosity using Viscometer, you need Torque (T), Thickness of Fluid Layer (ℓ), Radius of Inner Cylinder (R), Revolutions per Second (ṅ) & Length of Cylinder (L). With our tool, you need to enter the respective value for Torque, Thickness of Fluid Layer, Radius of Inner Cylinder, Revolutions per Second & Length of Cylinder and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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