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Shear Stress at any Cylindrical Element given Head Loss Formula

GoShear Stress at any Cylindrical Element Formula

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

𝜏 = \frac{γ f \cdot h \cdot d radial}{2 \cdot L p}

𝜏 - Shear Stress?γ_f - Specific Weight of Liquid?h - Head Loss due to Friction?d_radial - Radial Distance?L_p - Length of Pipe?

Shear Stress at any Cylindrical Element given Head Loss Example

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Here is how the Shear Stress at any Cylindrical Element given Head Loss equation looks like with Values.

Here is how the Shear Stress at any Cylindrical Element given Head Loss equation looks like with Units.

Here is how the Shear Stress at any Cylindrical Element given Head Loss equation looks like.

1128.15 = \frac{9.81 \cdot 2.5 \cdot 9.2}{2 \cdot 0.1}

1128.15Pa = \frac{9.81kN/m³ \cdot 2.5m \cdot 9.2m}{2 \cdot 0.1m}

1128.15 = \frac{9.81 \cdot 2.5 \cdot 9.2}{2 \cdot 0.1}

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Shear Stress at any Cylindrical Element given Head Loss Solution

Follow our step by step solution on how to calculate Shear Stress at any Cylindrical Element given Head Loss?

FIRST Step Consider the formula

𝜏 = \frac{γ f \cdot h \cdot d radial}{2 \cdot L p}

Next Step Substitute values of Variables

∴

𝜏 = \frac{9.81kN/m³ \cdot 2.5m \cdot 9.2m}{2 \cdot 0.1m}

Next Step Prepare to Evaluate

∴

𝜏 = \frac{9.81 \cdot 2.5 \cdot 9.2}{2 \cdot 0.1}

LAST Step Evaluate

∴

𝜏 = 1128.15Pa

Shear Stress at any Cylindrical Element given Head Loss Formula Elements

Variables

Shear Stress

The Shear Stress refers to the 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

Specific Weight of Liquid

The Specific Weight of Liquid refers to the weight per unit volume of that substance.

Symbol: γ_f

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Specific Weight of Liquid

Head Loss due to Friction

The Head Loss due to Friction refers to the loss of energy (or pressure) that occurs when a fluid flows through a pipe or duct due to the resistance created by the surface of the pipe.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head Loss due to Friction

Radial Distance

The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.

Symbol: d_radial

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radial Distance

Length of Pipe

The Length of Pipe refers to total length from one end to another in which the liquid is flowing.

Symbol: L_p

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Pipe

Other Formulas to find Shear Stress

Go Shear Stress at any Cylindrical Element

𝜏 = dp|dr \cdot \frac{d radial}{2}

Other formulas in Steady Laminar Flow in Circular Pipes category

Go Distance of Element from Center line given Shear Stress at any Cylindrical Element

d radial = 2 \cdot \frac{𝜏}{dp|dr}

Go Distance of Element from Center Line given Head Loss

d radial = 2 \cdot 𝜏 \cdot \frac{L p}{h \cdot γ f}

Go Velocity Gradient given Pressure Gradient at Cylindrical Element

V G = (\frac{1}{2 \cdot μ}) \cdot dp|dr \cdot d radial

Go Distance of Element from Center Line given Velocity Gradient at Cylindrical Element

d radial = 2 \cdot μ \cdot \frac{V G}{dp|dr}

How to Evaluate Shear Stress at any Cylindrical Element given Head Loss?

Shear Stress at any Cylindrical Element given Head Loss evaluator uses Shear Stress = (Specific Weight of Liquid*Head Loss due to Friction*Radial Distance)/(2*Length of Pipe) to evaluate the Shear Stress, The Shear Stress at any Cylindrical Element given Head Loss is defined as stress developed due loss of energy in the flowing stream through pipe. Shear Stress is denoted by 𝜏 symbol.

How to evaluate Shear Stress at any Cylindrical Element given Head Loss using this online evaluator? To use this online evaluator for Shear Stress at any Cylindrical Element given Head Loss, enter Specific Weight of Liquid (γ_f), Head Loss due to Friction (h), Radial Distance (d_radial) & Length of Pipe (L_p) and hit the calculate button.

FAQs on Shear Stress at any Cylindrical Element given Head Loss

What is the formula to find Shear Stress at any Cylindrical Element given Head Loss?

The formula of Shear Stress at any Cylindrical Element given Head Loss is expressed as Shear Stress = (Specific Weight of Liquid*Head Loss due to Friction*Radial Distance)/(2*Length of Pipe). Here is an example- 1128.15 = (9810*2.5*9.2)/(2*0.1).

How to calculate Shear Stress at any Cylindrical Element given Head Loss?

With Specific Weight of Liquid (γ_f), Head Loss due to Friction (h), Radial Distance (d_radial) & Length of Pipe (L_p) we can find Shear Stress at any Cylindrical Element given Head Loss using the formula - Shear Stress = (Specific Weight of Liquid*Head Loss due to Friction*Radial Distance)/(2*Length of Pipe).

What are the other ways to Calculate Shear Stress?

Here are the different ways to Calculate Shear Stress-

Shear Stress=Pressure Gradient*Radial Distance/2

Can the Shear Stress at any Cylindrical Element given Head Loss be negative?

No, the Shear Stress at any Cylindrical Element given Head Loss, measured in Stress cannot be negative.

Which unit is used to measure Shear Stress at any Cylindrical Element given Head Loss?

Shear Stress at any Cylindrical Element given Head Loss is usually measured using the Pascal[Pa] for Stress. Newton per Square Meter[Pa], Newton per Square Millimeter[Pa], Kilonewton per Square Meter[Pa] are the few other units in which Shear Stress at any Cylindrical Element given Head Loss can be measured.

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Shear Stress at any Cylindrical Element given Head Loss Formula

​GoShear Stress at any Cylindrical Element Formula

Shear Stress at any Cylindrical Element given Head Loss Example

Shear Stress at any Cylindrical Element given Head Loss Solution

Shear Stress at any Cylindrical Element given Head Loss Formula Elements

Other Formulas to find Shear Stress

Other formulas in Steady Laminar Flow in Circular Pipes category

How to Evaluate Shear Stress at any Cylindrical Element given Head Loss?

FAQs on Shear Stress at any Cylindrical Element given Head Loss

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GoShear Stress at any Cylindrical Element Formula