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Dynamic Viscosity for Shear Force Resisting Motion of Piston Formula

GoDynamic Viscosity given Velocity of Flow in Oil Tank Formula

GoDynamic Viscosity given Rate of Flow Formula

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The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied. Check FAQs

μ = \frac{Fs}{π \cdot L P \cdot v piston \cdot (1.5 \cdot {(\frac{D}{C R})}^{2} + 4 \cdot (\frac{D}{C R}))}

μ - Dynamic Viscosity?Fs - Shear Force?L_P - Piston Length?v_piston - Velocity of Piston?D - Diameter of Piston?C_R - Radial Clearance?π - Archimedes' constant?

Dynamic Viscosity for Shear Force Resisting Motion of Piston Example

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Here is how the Dynamic Viscosity for Shear Force Resisting Motion of Piston equation looks like with Values.

Here is how the Dynamic Viscosity for Shear Force Resisting Motion of Piston equation looks like with Units.

Here is how the Dynamic Viscosity for Shear Force Resisting Motion of Piston equation looks like.

10.4491 = \frac{90}{3.1416 \cdot 5 \cdot 0.045 \cdot (1.5 \cdot {(\frac{3.5}{0.45})}^{2} + 4 \cdot (\frac{3.5}{0.45}))}

10.4491P = \frac{90N}{3.1416 \cdot 5m \cdot 0.045m/s \cdot (1.5 \cdot {(\frac{3.5m}{0.45m})}^{2} + 4 \cdot (\frac{3.5m}{0.45m}))}

10.4491 = \frac{90}{3.1416 \cdot 5 \cdot 0.045 \cdot (1.5 \cdot {(\frac{3.5}{0.45})}^{2} + 4 \cdot (\frac{3.5}{0.45}))}

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Dynamic Viscosity for Shear Force Resisting Motion of Piston Solution

Follow our step by step solution on how to calculate Dynamic Viscosity for Shear Force Resisting Motion of Piston?

FIRST Step Consider the formula

μ = \frac{Fs}{π \cdot L P \cdot v piston \cdot (1.5 \cdot {(\frac{D}{C R})}^{2} + 4 \cdot (\frac{D}{C R}))}

Next Step Substitute values of Variables

∴

μ = \frac{90N}{π \cdot 5m \cdot 0.045m/s \cdot (1.5 \cdot {(\frac{3.5m}{0.45m})}^{2} + 4 \cdot (\frac{3.5m}{0.45m}))}

Next Step Substitute values of Constants

∴

μ = \frac{90N}{3.1416 \cdot 5m \cdot 0.045m/s \cdot (1.5 \cdot {(\frac{3.5m}{0.45m})}^{2} + 4 \cdot (\frac{3.5m}{0.45m}))}

Next Step Prepare to Evaluate

∴

μ = \frac{90}{3.1416 \cdot 5 \cdot 0.045 \cdot (1.5 \cdot {(\frac{3.5}{0.45})}^{2} + 4 \cdot (\frac{3.5}{0.45}))}

Next Step Evaluate

∴

μ = 1.04490783306533Pa*s

Next Step Convert to Output's Unit

∴

μ = 10.4490783306533P

LAST Step Rounding Answer

∴

μ = 10.4491P

Dynamic Viscosity for Shear Force Resisting Motion of Piston Formula Elements

Variables

Constants

Dynamic Viscosity

The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Shear Force

Shear Force is the force which causes shear deformation to occur in the shear plane.

Symbol: Fs

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Shear Force

Piston Length

Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length.

Symbol: L_P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Piston Length

Velocity of Piston

Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity.

Symbol: v_piston

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Piston

Diameter of Piston

Diameter of Piston is the actual diameter of the piston while the bore is the size of the cylinder and will always be larger than the piston.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Piston

Radial Clearance

Radial Clearance or gap is the distance between two surfaces adjacent to each other.

Symbol: C_R

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radial Clearance

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Dynamic Viscosity

Go Dynamic Viscosity given Velocity of Flow in Oil Tank

μ = 0.5 \cdot dp|dr \cdot \frac{R \cdot R - C H \cdot R}{u Oiltank + (v piston \cdot \frac{R}{C H})}

Go Dynamic Viscosity given Rate of Flow

μ = \frac{dp|dr \cdot \frac{{C R}^{3}}{12}}{(\frac{Q}{π} \cdot D) + v piston \cdot 0.5 \cdot C R}

Go Dynamic Viscosity for Pressure Reduction over Length of Piston

μ = \frac{ΔPf}{(6 \cdot v piston \cdot \frac{L P}{{C R}^{3}}) \cdot (0.5 \cdot D + C R)}

How to Evaluate Dynamic Viscosity for Shear Force Resisting Motion of Piston?

Dynamic Viscosity for Shear Force Resisting Motion of Piston evaluator uses Dynamic Viscosity = Shear Force/(pi*Piston Length*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance))) to evaluate the Dynamic Viscosity, The Dynamic Viscosity for Shear Force Resisting Motion of Piston is defined as resistance developed due to viscous flow in oil tank. Dynamic Viscosity is denoted by μ symbol.

How to evaluate Dynamic Viscosity for Shear Force Resisting Motion of Piston using this online evaluator? To use this online evaluator for Dynamic Viscosity for Shear Force Resisting Motion of Piston, enter Shear Force (Fs), Piston Length (L_P), Velocity of Piston (v_piston), Diameter of Piston (D) & Radial Clearance (C_R) and hit the calculate button.

FAQs on Dynamic Viscosity for Shear Force Resisting Motion of Piston

What is the formula to find Dynamic Viscosity for Shear Force Resisting Motion of Piston?

The formula of Dynamic Viscosity for Shear Force Resisting Motion of Piston is expressed as Dynamic Viscosity = Shear Force/(pi*Piston Length*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance))). Here is an example- 104.4908 = 90/(pi*5*0.045*(1.5*(3.5/0.45)^2+4*(3.5/0.45))).

How to calculate Dynamic Viscosity for Shear Force Resisting Motion of Piston?

With Shear Force (Fs), Piston Length (L_P), Velocity of Piston (v_piston), Diameter of Piston (D) & Radial Clearance (C_R) we can find Dynamic Viscosity for Shear Force Resisting Motion of Piston using the formula - Dynamic Viscosity = Shear Force/(pi*Piston Length*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance))). This formula also uses Archimedes' constant .

What are the other ways to Calculate Dynamic Viscosity?

Here are the different ways to Calculate Dynamic Viscosity-

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=(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))

Can the Dynamic Viscosity for Shear Force Resisting Motion of Piston be negative?

No, the Dynamic Viscosity for Shear Force Resisting Motion of Piston, measured in Dynamic Viscosity cannot be negative.

Which unit is used to measure Dynamic Viscosity for Shear Force Resisting Motion of Piston?

Dynamic Viscosity for Shear Force Resisting Motion of Piston is usually measured using the Poise[P] for Dynamic Viscosity. Pascal Second[P], Newton Second per Square Meter[P], Millinewton Second per Square Meter[P] are the few other units in which Dynamic Viscosity for Shear Force Resisting Motion of Piston can be measured.

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Dynamic Viscosity for Shear Force Resisting Motion of Piston Formula

​GoDynamic Viscosity given Velocity of Flow in Oil Tank Formula

​GoDynamic Viscosity given Rate of Flow Formula

Dynamic Viscosity for Shear Force Resisting Motion of Piston Example

Dynamic Viscosity for Shear Force Resisting Motion of Piston Solution

Dynamic Viscosity for Shear Force Resisting Motion of Piston Formula Elements

Other Formulas to find Dynamic Viscosity

How to Evaluate Dynamic Viscosity for Shear Force Resisting Motion of Piston?

FAQs on Dynamic Viscosity for Shear Force Resisting Motion of Piston

Variable Name

GoDynamic Viscosity given Velocity of Flow in Oil Tank Formula

GoDynamic Viscosity given Rate of Flow Formula