Dynamic Viscosity given Velocity of Flow in Oil Tank Calculator

✖Pressure Gradient is the change in pressure with respect to radial distance of element.ⓘ Pressure Gradient [dp\|dr]			+10% -10%
✖Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.ⓘ Horizontal Distance [R]			+10% -10%
✖Hydraulic Clearance is the gap or space between two surfaces adjacent to each other.ⓘ Hydraulic Clearance [C_H]			+10% -10%
✖Fluid Velocity in Oil Tank is the volume of fluid flowing in the given vessel per unit cross sectional area.ⓘ Fluid Velocity in Oil Tank [u_Oiltank]			+10% -10%
✖Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity.ⓘ Velocity of Piston [v_piston]			+10% -10%

✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity given Velocity of Flow in Oil Tank [μ_viscosity]

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Formula

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Dynamic Viscosity given Velocity of Flow in Oil Tank

Formula

`"μ"_{"viscosity"} = 0.5*"dp|dr"*("R"*"R"-"C"_{"H"}*"R")/("u"_{"Oiltank"}+("v"_{"piston"}*"R"/"C"_{"H"}))`

Example

`"10.8076P"=0.5*"60N/m³"*("0.7m"*"0.7m"-"50mm"*"0.7m")/("12m/s"+("0.045m/s"*"0.7m"/"50mm"))`

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Dynamic Viscosity given Velocity of Flow in Oil Tank Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = 0.5*Pressure Gradient*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/(Fluid Velocity in Oil Tank+(Velocity of Piston*Horizontal Distance/Hydraulic Clearance))
μ_viscosity = 0.5*dp|dr*(R*R-C_H*R)/(u_Oiltank+(v_piston*R/C_H))
This formula uses 6 Variables

Variables Used

Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.
Horizontal Distance - (Measured in Meter) - Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.
Hydraulic Clearance - (Measured in Meter) - Hydraulic Clearance is the gap or space between two surfaces adjacent to each other.
Fluid Velocity in Oil Tank - (Measured in Meter per Second) - Fluid Velocity in Oil Tank is the volume of fluid flowing in the given vessel per unit cross sectional area.
Velocity of Piston - (Measured in Meter per Second) - Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity.

STEP 1: Convert Input(s) to Base Unit

Pressure Gradient: 60 Newton per Cubic Meter --> 60 Newton per Cubic Meter No Conversion Required
Horizontal Distance: 0.7 Meter --> 0.7 Meter No Conversion Required
Hydraulic Clearance: 50 Millimeter --> 0.05 Meter (Check conversion here)
Fluid Velocity in Oil Tank: 12 Meter per Second --> 12 Meter per Second No Conversion Required
Velocity of Piston: 0.045 Meter per Second --> 0.045 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ_viscosity = 0.5*dp|dr*(R*R-C_H*R)/(u_Oiltank+(v_piston*R/C_H)) --> 0.5*60*(0.7*0.7-0.05*0.7)/(12+(0.045*0.7/0.05))

Evaluating ... ...

μ_viscosity = 1.08076009501188

STEP 3: Convert Result to Output's Unit

1.08076009501188 Pascal Second -->10.8076009501188 Poise (Check conversion here)

FINAL ANSWER

10.8076009501188 ≈ 10.8076 Poise <-- Dynamic Viscosity

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< 4 Dynamic Viscosity Calculators

Dynamic Viscosity given Velocity of Flow in Oil Tank

Go Dynamic Viscosity = 0.5*Pressure Gradient*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/(Fluid Velocity in Oil Tank+(Velocity of Piston*Horizontal Distance/Hydraulic Clearance))

Dynamic Viscosity for Shear Force Resisting Motion of Piston

Go Dynamic Viscosity = Shear Force/(pi*Piston Length*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)))

Dynamic Viscosity given Rate of Flow

Go Dynamic Viscosity = (Pressure Gradient*(Radial Clearance^3)/12)/((Discharge in Laminar Flow/pi*Diameter of Piston)+Velocity of Piston*0.5*Radial Clearance)

Dynamic Viscosity for Pressure Reduction over Length of Piston

Go Dynamic Viscosity = Pressure Drop due to Friction/((6*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance))

Dynamic Viscosity given Velocity of Flow in Oil Tank Formula

What is Dynamic Viscosity?

The dynamic viscosity η (η = "eta") is a measure of the viscosity of a fluid (fluid: liquid, flowing substance). The higher the viscosity, the thicker (less liquid) the fluid; the lower the viscosity, the thinner (more liquid) it is.

How to Calculate Dynamic Viscosity given Velocity of Flow in Oil Tank?

Dynamic Viscosity given Velocity of Flow in Oil Tank calculator uses Dynamic Viscosity = 0.5*Pressure Gradient*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/(Fluid Velocity in Oil Tank+(Velocity of Piston*Horizontal Distance/Hydraulic Clearance)) to calculate the Dynamic Viscosity, The Dynamic Viscosity given Velocity of Flow in Oil Tank is defined as the resistance offered by fluid in flow medium. Dynamic Viscosity is denoted by μ_viscosity symbol.

How to calculate Dynamic Viscosity given Velocity of Flow in Oil Tank using this online calculator? To use this online calculator for Dynamic Viscosity given Velocity of Flow in Oil Tank, enter Pressure Gradient (dp|dr), Horizontal Distance (R), Hydraulic Clearance (C_H), Fluid Velocity in Oil Tank (u_Oiltank) & Velocity of Piston (v_piston) and hit the calculate button. Here is how the Dynamic Viscosity given Velocity of Flow in Oil Tank calculation can be explained with given input values -> 4.540465 = 0.5*60*(0.7*0.7-0.05*0.7)/(12+(0.045*0.7/0.05)).

FAQ

What is Dynamic Viscosity given Velocity of Flow in Oil Tank?

The Dynamic Viscosity given Velocity of Flow in Oil Tank is defined as the resistance offered by fluid in flow medium and is represented as μ_viscosity = 0.5*dp|dr*(R*R-C_H*R)/(u_Oiltank+(v_piston*R/C_H)) or Dynamic Viscosity = 0.5*Pressure Gradient*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/(Fluid Velocity in Oil Tank+(Velocity of Piston*Horizontal Distance/Hydraulic Clearance)). Pressure Gradient is the change in pressure with respect to radial distance of element, Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion, Hydraulic Clearance is the gap or space between two surfaces adjacent to each other, Fluid Velocity in Oil Tank is the volume of fluid flowing in the given vessel per unit cross sectional area & Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity.

How to calculate Dynamic Viscosity given Velocity of Flow in Oil Tank?

The Dynamic Viscosity given Velocity of Flow in Oil Tank is defined as the resistance offered by fluid in flow medium is calculated using Dynamic Viscosity = 0.5*Pressure Gradient*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/(Fluid Velocity in Oil Tank+(Velocity of Piston*Horizontal Distance/Hydraulic Clearance)). To calculate Dynamic Viscosity given Velocity of Flow in Oil Tank, you need Pressure Gradient (dp|dr), Horizontal Distance (R), Hydraulic Clearance (C_H), Fluid Velocity in Oil Tank (u_Oiltank) & Velocity of Piston (v_piston). With our tool, you need to enter the respective value for Pressure Gradient, Horizontal Distance, Hydraulic Clearance, Fluid Velocity in Oil Tank & Velocity of Piston 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?

In this formula, Dynamic Viscosity uses Pressure Gradient, Horizontal Distance, Hydraulic Clearance, Fluid Velocity in Oil Tank & Velocity of Piston. We can use 3 other way(s) to calculate the same, which is/are as follows -

Dynamic Viscosity = (Pressure Gradient*(Radial Clearance^3)/12)/((Discharge in Laminar Flow/pi*Diameter of Piston)+Velocity of Piston*0.5*Radial Clearance)
Dynamic Viscosity = Pressure Drop due to Friction/((6*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance))
Dynamic Viscosity = Shear Force/(pi*Piston Length*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)))

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