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Dynamic Viscosity for Pressure Drop over Length Formula

GoDynamic Viscosity given Velocity of Fluid Formula

GoDynamic Viscosity given Shear Stress in Piston 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{ΔPf}{(6 \cdot v piston \cdot \frac{L P}{{C R}^{3}}) \cdot (0.5 \cdot D)}

μ - Dynamic Viscosity?ΔPf - Pressure Drop due to Friction?v_piston - Velocity of Piston?L_P - Piston Length?C_R - Radial Clearance?D - Diameter of Piston?

Dynamic Viscosity for Pressure Drop over Length Example

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Here is how the Dynamic Viscosity for Pressure Drop over Length equation looks like with Values.

Here is how the Dynamic Viscosity for Pressure Drop over Length equation looks like with Units.

Here is how the Dynamic Viscosity for Pressure Drop over Length equation looks like.

12.7286 = \frac{33}{(6 \cdot 0.045 \cdot \frac{5}{{0.45}^{3}}) \cdot (0.5 \cdot 3.5)}

12.7286P = \frac{33Pa}{(6 \cdot 0.045m/s \cdot \frac{5m}{{0.45m}^{3}}) \cdot (0.5 \cdot 3.5m)}

12.7286 = \frac{33}{(6 \cdot 0.045 \cdot \frac{5}{{0.45}^{3}}) \cdot (0.5 \cdot 3.5)}

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Dynamic Viscosity for Pressure Drop over Length Solution

Follow our step by step solution on how to calculate Dynamic Viscosity for Pressure Drop over Length?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

μ = \frac{33Pa}{(6 \cdot 0.045m/s \cdot \frac{5m}{{0.45m}^{3}}) \cdot (0.5 \cdot 3.5m)}

Next Step Prepare to Evaluate

∴

μ = \frac{33}{(6 \cdot 0.045 \cdot \frac{5}{{0.45}^{3}}) \cdot (0.5 \cdot 3.5)}

Next Step Evaluate

∴

μ = 1.27285714285714Pa*s

Next Step Convert to Output's Unit

∴

μ = 12.7285714285714P

LAST Step Rounding Answer

∴

μ = 12.7286P

Dynamic Viscosity for Pressure Drop over Length 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

Pressure Drop due to Friction

Pressure Drop due to Friction is the decrease in the value of the pressure due to the influence of friction.

Symbol: ΔPf

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure Drop due to Friction

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

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

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

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

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 given Shear Stress in Piston

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

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 for Pressure Drop over Length?

Dynamic Viscosity for Pressure Drop over Length evaluator uses Dynamic Viscosity = Pressure Drop due to Friction/((6*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston)) to evaluate the Dynamic Viscosity, The Dynamic Viscosity for Pressure Drop over Length is defined as the resistance offered by fluid on relative motion. Dynamic Viscosity is denoted by μ symbol.

How to evaluate Dynamic Viscosity for Pressure Drop over Length using this online evaluator? To use this online evaluator for Dynamic Viscosity for Pressure Drop over Length, enter Pressure Drop due to Friction (ΔPf), Velocity of Piston (v_piston), Piston Length (L_P), Radial Clearance (C_R) & Diameter of Piston (D) and hit the calculate button.

FAQs on Dynamic Viscosity for Pressure Drop over Length

What is the formula to find Dynamic Viscosity for Pressure Drop over Length?

The formula of Dynamic Viscosity for Pressure Drop over Length is expressed as Dynamic Viscosity = Pressure Drop due to Friction/((6*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston)). Here is an example- 127.2857 = 33/((6*0.045*5/(0.45^3))*(0.5*3.5)).

How to calculate Dynamic Viscosity for Pressure Drop over Length?

With Pressure Drop due to Friction (ΔPf), Velocity of Piston (v_piston), Piston Length (L_P), Radial Clearance (C_R) & Diameter of Piston (D) we can find Dynamic Viscosity for Pressure Drop over Length using the formula - Dynamic Viscosity = Pressure Drop due to Friction/((6*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston)).

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=Shear Stress/(1.5*Diameter of Piston*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance))
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 for Pressure Drop over Length be negative?

No, the Dynamic Viscosity for Pressure Drop over Length, measured in Dynamic Viscosity cannot be negative.

Which unit is used to measure Dynamic Viscosity for Pressure Drop over Length?

Dynamic Viscosity for Pressure Drop over Length 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 Pressure Drop over Length can be measured.

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Dynamic Viscosity for Pressure Drop over Length Formula

​GoDynamic Viscosity given Velocity of Fluid Formula

​GoDynamic Viscosity given Shear Stress in Piston Formula

Dynamic Viscosity for Pressure Drop over Length Example

Dynamic Viscosity for Pressure Drop over Length Solution

Dynamic Viscosity for Pressure Drop over Length 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 for Pressure Drop over Length?

FAQs on Dynamic Viscosity for Pressure Drop over Length

Variable Name

GoDynamic Viscosity given Velocity of Fluid Formula

GoDynamic Viscosity given Shear Stress in Piston Formula