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Dynamic Viscosity given Rate of Flow Formula

GoDynamic Viscosity given Velocity of Flow in Oil Tank Formula

GoDynamic Viscosity for Pressure Reduction over Length of 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{dp|dr \cdot \frac{{C R}^{3}}{12}}{(\frac{Q}{π} \cdot D) + v piston \cdot 0.5 \cdot C R}

μ - Dynamic Viscosity?dp|dr - Pressure Gradient?C_R - Radial Clearance?Q - Discharge in Laminar Flow?D - Diameter of Piston?v_piston - Velocity of Piston?π - Archimedes' constant?

Dynamic Viscosity given Rate of Flow Example

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Here is how the Dynamic Viscosity given Rate of Flow equation looks like with Values.

Here is how the Dynamic Viscosity given Rate of Flow equation looks like with Units.

Here is how the Dynamic Viscosity given Rate of Flow equation looks like.

0.0743 = \frac{60 \cdot \frac{{0.45}^{3}}{12}}{(\frac{55}{3.1416} \cdot 3.5) + 0.045 \cdot 0.5 \cdot 0.45}

0.0743P = \frac{60N/m³ \cdot \frac{{0.45m}^{3}}{12}}{(\frac{55m³/s}{3.1416} \cdot 3.5m) + 0.045m/s \cdot 0.5 \cdot 0.45m}

0.0743 = \frac{60 \cdot \frac{{0.45}^{3}}{12}}{(\frac{55}{3.1416} \cdot 3.5) + 0.045 \cdot 0.5 \cdot 0.45}

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Dynamic Viscosity given Rate of Flow Solution

Follow our step by step solution on how to calculate Dynamic Viscosity given Rate of Flow?

FIRST Step Consider the formula

μ = \frac{dp|dr \cdot \frac{{C R}^{3}}{12}}{(\frac{Q}{π} \cdot D) + v piston \cdot 0.5 \cdot C R}

Next Step Substitute values of Variables

∴

μ = \frac{60N/m³ \cdot \frac{{0.45m}^{3}}{12}}{(\frac{55m³/s}{π} \cdot 3.5m) + 0.045m/s \cdot 0.5 \cdot 0.45m}

Next Step Substitute values of Constants

∴

μ = \frac{60N/m³ \cdot \frac{{0.45m}^{3}}{12}}{(\frac{55m³/s}{3.1416} \cdot 3.5m) + 0.045m/s \cdot 0.5 \cdot 0.45m}

Next Step Prepare to Evaluate

∴

μ = \frac{60 \cdot \frac{{0.45}^{3}}{12}}{(\frac{55}{3.1416} \cdot 3.5) + 0.045 \cdot 0.5 \cdot 0.45}

Next Step Evaluate

∴

μ = 0.00743455412905416Pa*s

Next Step Convert to Output's Unit

∴

μ = 0.0743455412905416P

LAST Step Rounding Answer

∴

μ = 0.0743P

Dynamic Viscosity given Rate of Flow 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

Pressure Gradient

Pressure Gradient is the change in pressure with respect to radial distance of element.

Symbol: dp|dr

Measurement: Pressure GradientUnit: N/m³

Note: Value can be positive or negative.

Formulas to find Pressure Gradient

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

Discharge in Laminar Flow

The Discharge in Laminar Flow refers to the fluid flowing per second through a channel or section of a pipe.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge in Laminar Flow

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

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 Flow in Oil Tank

μ = 0.5 \cdot dp|dr \cdot \frac{R \cdot R - C H \cdot R}{u Oiltank + (v piston \cdot \frac{R}{C H})}

Go Dynamic Viscosity for Pressure Reduction over Length of Piston

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

Go Dynamic Viscosity for Shear Force Resisting Motion of Piston

μ = \frac{Fs}{π \cdot L P \cdot v piston \cdot (1.5 \cdot {(\frac{D}{C R})}^{2} + 4 \cdot (\frac{D}{C R}))}

How to Evaluate Dynamic Viscosity given Rate of Flow?

Dynamic Viscosity given Rate of Flow evaluator uses Dynamic Viscosity = (Pressure Gradient*(Radial Clearance^3)/12)/((Discharge in Laminar Flow/pi*Diameter of Piston)+Velocity of Piston*0.5*Radial Clearance) to evaluate the Dynamic Viscosity, The Dynamic Viscosity given Rate of Flow is defined as the resistance offered by the fluid in viscous medium due to resistive forces. Dynamic Viscosity is denoted by μ symbol.

How to evaluate Dynamic Viscosity given Rate of Flow using this online evaluator? To use this online evaluator for Dynamic Viscosity given Rate of Flow, enter Pressure Gradient (dp|dr), Radial Clearance (C_R), Discharge in Laminar Flow (Q), Diameter of Piston (D) & Velocity of Piston (v_piston) and hit the calculate button.

FAQs on Dynamic Viscosity given Rate of Flow

What is the formula to find Dynamic Viscosity given Rate of Flow?

The formula of Dynamic Viscosity given Rate of Flow is expressed as Dynamic Viscosity = (Pressure Gradient*(Radial Clearance^3)/12)/((Discharge in Laminar Flow/pi*Diameter of Piston)+Velocity of Piston*0.5*Radial Clearance). Here is an example- 113.8907 = (60*(0.45^3)/12)/((55/pi*3.5)+0.045*0.5*0.45).

How to calculate Dynamic Viscosity given Rate of Flow?

With Pressure Gradient (dp|dr), Radial Clearance (C_R), Discharge in Laminar Flow (Q), Diameter of Piston (D) & Velocity of Piston (v_piston) we can find Dynamic Viscosity given Rate of Flow using the formula - Dynamic Viscosity = (Pressure Gradient*(Radial Clearance^3)/12)/((Discharge in Laminar Flow/pi*Diameter of Piston)+Velocity of Piston*0.5*Radial Clearance). 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=0.5*Pressure Gradient*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/(Fluid Velocity in Oil Tank+(Velocity of Piston*Horizontal Distance/Hydraulic Clearance))
Dynamic Viscosity=Pressure Drop due to Friction/((6*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance))
Dynamic Viscosity=Shear Force/(pi*Piston Length*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)))

Can the Dynamic Viscosity given Rate of Flow be negative?

No, the Dynamic Viscosity given Rate of Flow, measured in Dynamic Viscosity cannot be negative.

Which unit is used to measure Dynamic Viscosity given Rate of Flow?

Dynamic Viscosity given Rate of Flow 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 Rate of Flow can be measured.

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Dynamic Viscosity given Rate of Flow Formula

​GoDynamic Viscosity given Velocity of Flow in Oil Tank Formula

​GoDynamic Viscosity for Pressure Reduction over Length of Piston Formula

Dynamic Viscosity given Rate of Flow Example

Dynamic Viscosity given Rate of Flow Solution

Dynamic Viscosity given Rate of Flow Formula Elements

Other Formulas to find Dynamic Viscosity

How to Evaluate Dynamic Viscosity given Rate of Flow?

FAQs on Dynamic Viscosity given Rate of Flow

Variable Name

GoDynamic Viscosity given Velocity of Flow in Oil Tank Formula

GoDynamic Viscosity for Pressure Reduction over Length of Piston Formula