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Dynamic Viscosity given Shear Stress in Piston Formula

GoDynamic Viscosity given Velocity of Fluid Formula

GoDynamic Viscosity for Pressure Drop over Length 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{𝜏}{1.5 \cdot D \cdot \frac{v piston}{C H \cdot C H}}

μ - Dynamic Viscosity?𝜏 - Shear Stress?D - Diameter of Piston?v_piston - Velocity of Piston?C_H - Hydraulic Clearance?

Dynamic Viscosity given Shear Stress in Piston Example

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Here is how the Dynamic Viscosity given Shear Stress in Piston equation looks like with Values.

Here is how the Dynamic Viscosity given Shear Stress in Piston equation looks like with Units.

Here is how the Dynamic Viscosity given Shear Stress in Piston equation looks like.

9.8519 = \frac{93.1}{1.5 \cdot 3.5 \cdot \frac{0.045}{50 \cdot 50}}

9.8519P = \frac{93.1Pa}{1.5 \cdot 3.5m \cdot \frac{0.045m/s}{50mm \cdot 50mm}}

9.8519 = \frac{93.1}{1.5 \cdot 3.5 \cdot \frac{0.045}{50 \cdot 50}}

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Dynamic Viscosity given Shear Stress in Piston Solution

Follow our step by step solution on how to calculate Dynamic Viscosity given Shear Stress in Piston?

FIRST Step Consider the formula

μ = \frac{𝜏}{1.5 \cdot D \cdot \frac{v piston}{C H \cdot C H}}

Next Step Substitute values of Variables

∴

μ = \frac{93.1Pa}{1.5 \cdot 3.5m \cdot \frac{0.045m/s}{50mm \cdot 50mm}}

Next Step Convert Units

∴

μ = \frac{93.1Pa}{1.5 \cdot 3.5m \cdot \frac{0.045m/s}{0.05m \cdot 0.05m}}

Next Step Prepare to Evaluate

∴

μ = \frac{93.1}{1.5 \cdot 3.5 \cdot \frac{0.045}{0.05 \cdot 0.05}}

Next Step Evaluate

∴

μ = 0.985185185185185Pa*s

Next Step Convert to Output's Unit

∴

μ = 9.85185185185185P

LAST Step Rounding Answer

∴

μ = 9.8519P

Dynamic Viscosity given Shear Stress in Piston Formula Elements

Variables

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 Stress

Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Stress

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

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

Hydraulic Clearance

Hydraulic Clearance is the gap or space between two surfaces adjacent to each other.

Symbol: C_H

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Hydraulic Clearance

Other Formulas to find Dynamic Viscosity

Go Dynamic Viscosity given Velocity of Fluid

μ = dp|dr \cdot 0.5 \cdot (\frac{R^{2} - C H \cdot R}{u Fluid})

Go Dynamic Viscosity for Pressure Drop over Length

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

Go Dynamic Viscosity given velocity of piston

μ = \frac{F Total}{π \cdot v piston \cdot L P \cdot (0.75 \cdot ({(\frac{D}{C R})}^{3}) + 1.5 \cdot ({(\frac{D}{C R})}^{2}))}

Other formulas in When Piston Velocity is Negligible to Average Velocity of Oil in Clearance Space category

Go Velocity of Fluid

u Oiltank = dp|dr \cdot 0.5 \cdot \frac{R \cdot R - C H \cdot R}{μ}

Go Pressure Gradient given Velocity of Fluid

dp|dr = \frac{u Oiltank}{0.5 \cdot \frac{R \cdot R - C H \cdot R}{μ}}

Go Pressure Drop over Lengths of Piston

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

Go Velocity of Piston for Pressure reduction over Length of Piston

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

How to Evaluate Dynamic Viscosity given Shear Stress in Piston?

Dynamic Viscosity given Shear Stress in Piston evaluator uses Dynamic Viscosity = Shear Stress/(1.5*Diameter of Piston*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance)) to evaluate the Dynamic Viscosity, The Dynamic Viscosity given Shear Stress in Piston is defined as the resistance developed due to relative motion of object in flow. Dynamic Viscosity is denoted by μ symbol.

How to evaluate Dynamic Viscosity given Shear Stress in Piston using this online evaluator? To use this online evaluator for Dynamic Viscosity given Shear Stress in Piston, enter Shear Stress (𝜏), Diameter of Piston (D), Velocity of Piston (v_piston) & Hydraulic Clearance (C_H) and hit the calculate button.

FAQs on Dynamic Viscosity given Shear Stress in Piston

What is the formula to find Dynamic Viscosity given Shear Stress in Piston?

The formula of Dynamic Viscosity given Shear Stress in Piston is expressed as Dynamic Viscosity = Shear Stress/(1.5*Diameter of Piston*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance)). Here is an example- 98.51852 = 93.1/(1.5*3.5*0.045/(0.05*0.05)).

How to calculate Dynamic Viscosity given Shear Stress in Piston?

With Shear Stress (𝜏), Diameter of Piston (D), Velocity of Piston (v_piston) & Hydraulic Clearance (C_H) we can find Dynamic Viscosity given Shear Stress in Piston using the formula - Dynamic Viscosity = Shear Stress/(1.5*Diameter of Piston*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance)).

What are the other ways to Calculate Dynamic Viscosity?

Here are the different ways to Calculate Dynamic Viscosity-

Dynamic Viscosity=Pressure Gradient*0.5*((Horizontal Distance^2-Hydraulic Clearance*Horizontal Distance)/Fluid Velocity)
Dynamic Viscosity=Pressure Drop due to Friction/((6*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston))
Dynamic Viscosity=Total Force in Piston/(pi*Velocity of Piston*Piston Length*(0.75*((Diameter of Piston/Radial Clearance)^3)+1.5*((Diameter of Piston/Radial Clearance)^2)))

Can the Dynamic Viscosity given Shear Stress in Piston be negative?

No, the Dynamic Viscosity given Shear Stress in Piston, measured in Dynamic Viscosity cannot be negative.

Which unit is used to measure Dynamic Viscosity given Shear Stress in Piston?

Dynamic Viscosity given Shear Stress in 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 given Shear Stress in Piston can be measured.

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Dynamic Viscosity given Shear Stress in Piston Formula

​GoDynamic Viscosity given Velocity of Fluid Formula

​GoDynamic Viscosity for Pressure Drop over Length Formula

Dynamic Viscosity given Shear Stress in Piston Example

Dynamic Viscosity given Shear Stress in Piston Solution

Dynamic Viscosity given Shear Stress in Piston Formula Elements

Other Formulas to find Dynamic Viscosity

Other formulas in When Piston Velocity is Negligible to Average Velocity of Oil in Clearance Space category

How to Evaluate Dynamic Viscosity given Shear Stress in Piston?

FAQs on Dynamic Viscosity given Shear Stress in Piston

Variable Name

GoDynamic Viscosity given Velocity of Fluid Formula

GoDynamic Viscosity for Pressure Drop over Length Formula