FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Dynamic Viscosity given velocity of piston Formula

GoDynamic Viscosity given Velocity of Fluid Formula

GoDynamic Viscosity for Pressure Drop over Length Formula

Fx Copy

LaTeX Copy

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

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}))}

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

Dynamic Viscosity given velocity of piston Example

With values

With units

Only example

Here is how the Dynamic Viscosity given velocity of piston equation looks like with Values.

Here is how the Dynamic Viscosity given velocity of piston equation looks like with Units.

Here is how the Dynamic Viscosity given velocity of piston equation looks like.

7.9725 = \frac{2.5}{3.1416 \cdot 0.045 \cdot 5 \cdot (0.75 \cdot ({(\frac{3.5}{0.45})}^{3}) + 1.5 \cdot ({(\frac{3.5}{0.45})}^{2}))}

7.9725P = \frac{2.5N}{3.1416 \cdot 0.045m/s \cdot 5m \cdot (0.75 \cdot ({(\frac{3.5m}{0.45m})}^{3}) + 1.5 \cdot ({(\frac{3.5m}{0.45m})}^{2}))}

7.9725 = \frac{2.5}{3.1416 \cdot 0.045 \cdot 5 \cdot (0.75 \cdot ({(\frac{3.5}{0.45})}^{3}) + 1.5 \cdot ({(\frac{3.5}{0.45})}^{2}))}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Hydraulics and Waterworks » fx Dynamic Viscosity given velocity of piston

Dynamic Viscosity given velocity of piston Solution

Follow our step by step solution on how to calculate Dynamic Viscosity given velocity of piston?

FIRST Step Consider the formula

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}))}

Next Step Substitute values of Variables

∴

μ = \frac{2.5N}{π \cdot 0.045m/s \cdot 5m \cdot (0.75 \cdot ({(\frac{3.5m}{0.45m})}^{3}) + 1.5 \cdot ({(\frac{3.5m}{0.45m})}^{2}))}

Next Step Substitute values of Constants

∴

μ = \frac{2.5N}{3.1416 \cdot 0.045m/s \cdot 5m \cdot (0.75 \cdot ({(\frac{3.5m}{0.45m})}^{3}) + 1.5 \cdot ({(\frac{3.5m}{0.45m})}^{2}))}

Next Step Prepare to Evaluate

∴

μ = \frac{2.5}{3.1416 \cdot 0.045 \cdot 5 \cdot (0.75 \cdot ({(\frac{3.5}{0.45})}^{3}) + 1.5 \cdot ({(\frac{3.5}{0.45})}^{2}))}

Next Step Evaluate

∴

μ = 0.797251106397249Pa*s

Next Step Convert to Output's Unit

∴

μ = 7.97251106397249P

LAST Step Rounding Answer

∴

μ = 7.9725P

Dynamic Viscosity given velocity 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

Total Force in Piston

The Total Force in Piston is the sum of pressure forces acting on its surface due to the fluid flow.

Symbol: F_Total

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Total Force in 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

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

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 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 Shear Stress in Piston

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

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 velocity of piston?

Dynamic Viscosity given velocity of piston evaluator uses 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))) to evaluate the Dynamic Viscosity, The Dynamic Viscosity given velocity of piston is defined as resistance developed due to viscous flow in the oil tank. Dynamic Viscosity is denoted by μ symbol.

How to evaluate Dynamic Viscosity given velocity of piston using this online evaluator? To use this online evaluator for Dynamic Viscosity given velocity of piston, enter Total Force in Piston (F_Total), Velocity of Piston (v_piston), Piston Length (L_P), Diameter of Piston (D) & Radial Clearance (C_R) and hit the calculate button.

FAQs on Dynamic Viscosity given velocity of piston

What is the formula to find Dynamic Viscosity given velocity of piston?

The formula of Dynamic Viscosity given velocity of piston is expressed as 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))). Here is an example- 79.72511 = 2.5/(pi*0.045*5*(0.75*((3.5/0.45)^3)+1.5*((3.5/0.45)^2))).

How to calculate Dynamic Viscosity given velocity of piston?

With Total Force in Piston (F_Total), Velocity of Piston (v_piston), Piston Length (L_P), Diameter of Piston (D) & Radial Clearance (C_R) we can find Dynamic Viscosity given velocity of piston using the formula - 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))). 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=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=Shear Stress/(1.5*Diameter of Piston*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance))

Can the Dynamic Viscosity given velocity of piston be negative?

No, the Dynamic Viscosity given velocity of piston, measured in Dynamic Viscosity cannot be negative.

Which unit is used to measure Dynamic Viscosity given velocity of piston?

Dynamic Viscosity given velocity 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 given velocity of piston can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Dynamic Viscosity given velocity of piston Formula

​GoDynamic Viscosity given Velocity of Fluid Formula

​GoDynamic Viscosity for Pressure Drop over Length Formula

Dynamic Viscosity given velocity of piston Example

Dynamic Viscosity given velocity of piston Solution

Dynamic Viscosity given velocity of 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 velocity of piston?

FAQs on Dynamic Viscosity given velocity of piston

Variable Name

GoDynamic Viscosity given Velocity of Fluid Formula

GoDynamic Viscosity for Pressure Drop over Length Formula