FormulaDen.com

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

Diameter of Piston given Shear Stress Formula

GoDiameter of Piston for Pressure Drop over Length Formula

Fx Copy

LaTeX Copy

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. Check FAQs

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

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

Diameter of Piston given Shear Stress Example

With values

With units

Only example

Here is how the Diameter of Piston given Shear Stress equation looks like with Values.

Here is how the Diameter of Piston given Shear Stress equation looks like with Units.

Here is how the Diameter of Piston given Shear Stress equation looks like.

3.3805 = \frac{93.1}{1.5 \cdot 10.2 \cdot \frac{0.045}{50 \cdot 50}}

3.3805m = \frac{93.1Pa}{1.5 \cdot 10.2P \cdot \frac{0.045m/s}{50mm \cdot 50mm}}

3.3805 = \frac{93.1}{1.5 \cdot 10.2 \cdot \frac{0.045}{50 \cdot 50}}

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 Diameter of Piston given Shear Stress

Diameter of Piston given Shear Stress Solution

Follow our step by step solution on how to calculate Diameter of Piston given Shear Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D = \frac{93.1Pa}{1.5 \cdot 10.2P \cdot \frac{0.045m/s}{50mm \cdot 50mm}}

Next Step Convert Units

∴

D = \frac{93.1Pa}{1.5 \cdot 1.02Pa*s \cdot \frac{0.045m/s}{0.05m \cdot 0.05m}}

Next Step Prepare to Evaluate

∴

D = \frac{93.1}{1.5 \cdot 1.02 \cdot \frac{0.045}{0.05 \cdot 0.05}}

Next Step Evaluate

∴

D = 3.38053740014524m

LAST Step Rounding Answer

∴

D = 3.3805m

Diameter of Piston given Shear Stress Formula Elements

Variables

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

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

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

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 Diameter of Piston

Go Diameter of Piston for Pressure Drop over Length

D = (\frac{ΔPf}{6 \cdot μ \cdot v piston \cdot \frac{L P}{{C R}^{3}}}) \cdot 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 Dynamic Viscosity given Velocity of Fluid

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

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)

How to Evaluate Diameter of Piston given Shear Stress?

Diameter of Piston given Shear Stress evaluator uses Diameter of Piston = Shear Stress/(1.5*Dynamic Viscosity*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance)) to evaluate the Diameter of Piston, The Diameter of Piston given Shear Stress is defined as the width of section tank or piston used in experimental study. Diameter of Piston is denoted by D symbol.

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

FAQs on Diameter of Piston given Shear Stress

What is the formula to find Diameter of Piston given Shear Stress?

The formula of Diameter of Piston given Shear Stress is expressed as Diameter of Piston = Shear Stress/(1.5*Dynamic Viscosity*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance)). Here is an example- 3.380537 = 93.1/(1.5*1.02*0.045/(0.05*0.05)).

How to calculate Diameter of Piston given Shear Stress?

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

What are the other ways to Calculate Diameter of Piston?

Here are the different ways to Calculate Diameter of Piston-

Diameter of Piston=(Pressure Drop due to Friction/(6*Dynamic Viscosity*Velocity of Piston*Piston Length/(Radial Clearance^3)))*2

Can the Diameter of Piston given Shear Stress be negative?

No, the Diameter of Piston given Shear Stress, measured in Length cannot be negative.

Which unit is used to measure Diameter of Piston given Shear Stress?

Diameter of Piston given Shear Stress is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of Piston given Shear Stress can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Diameter of Piston given Shear Stress Formula

​GoDiameter of Piston for Pressure Drop over Length Formula

Diameter of Piston given Shear Stress Example

Diameter of Piston given Shear Stress Solution

Diameter of Piston given Shear Stress Formula Elements

Other Formulas to find Diameter of Piston

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

How to Evaluate Diameter of Piston given Shear Stress?

FAQs on Diameter of Piston given Shear Stress

Variable Name

GoDiameter of Piston for Pressure Drop over Length Formula