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Channel Velocity of Fluid given Path Length and Plate Pressure Drop Formula

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Channel Velocity refers to the average velocity of the fluid flowing through the channels formed by adjacent plates. Check FAQs

u p = \sqrt{ΔP p \cdot \frac{\frac{D e}{L p}}{4 \cdot J f \cdot ρ fluid}}

u_p - Channel Velocity?ΔP_p - Plate Pressure Drop?D_e - Equivalent Diameter?L_p - Path Length?J_f - Friction Factor?ρ_fluid - Fluid Density?

Channel Velocity of Fluid given Path Length and Plate Pressure Drop Example

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Here is how the Channel Velocity of Fluid given Path Length and Plate Pressure Drop equation looks like with Values.

Here is how the Channel Velocity of Fluid given Path Length and Plate Pressure Drop equation looks like with Units.

Here is how the Channel Velocity of Fluid given Path Length and Plate Pressure Drop equation looks like.

1.845 = \sqrt{2070.467 \cdot \frac{\frac{16.528}{631.47}}{4 \cdot 0.004 \cdot 995}}

1.845m/s = \sqrt{2070.467Pa \cdot \frac{\frac{16.528mm}{631.47mm}}{4 \cdot 0.004 \cdot 995kg/m³}}

1.845 = \sqrt{2070.467 \cdot \frac{\frac{16.528}{631.47}}{4 \cdot 0.004 \cdot 995}}

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Channel Velocity of Fluid given Path Length and Plate Pressure Drop Solution

Follow our step by step solution on how to calculate Channel Velocity of Fluid given Path Length and Plate Pressure Drop?

FIRST Step Consider the formula

u p = \sqrt{ΔP p \cdot \frac{\frac{D e}{L p}}{4 \cdot J f \cdot ρ fluid}}

Next Step Substitute values of Variables

∴

u p = \sqrt{2070.467Pa \cdot \frac{\frac{16.528mm}{631.47mm}}{4 \cdot 0.004 \cdot 995kg/m³}}

Next Step Convert Units

∴

u p = \sqrt{2070.467Pa \cdot \frac{\frac{0.0165m}{0.6315m}}{4 \cdot 0.004 \cdot 995kg/m³}}

Next Step Prepare to Evaluate

∴

u p = \sqrt{2070.467 \cdot \frac{\frac{0.0165}{0.6315}}{4 \cdot 0.004 \cdot 995}}

Next Step Evaluate

∴

u p = 1.84500019089444m/s

LAST Step Rounding Answer

∴

u p = 1.845m/s

Channel Velocity of Fluid given Path Length and Plate Pressure Drop Formula Elements

Variables

Functions

Channel Velocity

Channel Velocity refers to the average velocity of the fluid flowing through the channels formed by adjacent plates.

Symbol: u_p

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Channel Velocity

Plate Pressure Drop

Plate Pressure Drop refers to the loss of fluid pressure as the fluid flows through the channels formed by the plates.

Symbol: ΔP_p

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Plate Pressure Drop

Equivalent Diameter

Equivalent diameter represents a single characteristic length that takes into account the cross-sectional shape and flow path of a non-circular or irregularly shaped channel or duct.

Symbol: D_e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Equivalent Diameter

Path Length

Path Length refers to the distance that the fluid travels between the plates. It represents the length of the flow path within the heat exchanger channels formed by adjacent plates.

Symbol: L_p

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Path Length

Friction Factor

Friction Factor is a dimensionless quantity used to characterize the amount of resistance encountered by a fluid as it flows through a pipe or conduit.

Symbol: J_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Friction Factor

Fluid Density

Fluid Density is defined as the ratio of mass of given fluid with respect to the volume that it occupies.

Symbol: ρ_fluid

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Fluid Density

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Basic Formulas of Heat Exchanger Designs category

Go Equivalent Diameter for Square Pitch in Heat Exchanger

D e = (\frac{1.27}{D Outer}) \cdot (({P Tube}^{2}) - 0.785 \cdot ({D Outer}^{2}))

Go Equivalent Diameter for Triangular Pitch in Heat Exchanger

D e = (\frac{1.10}{D Outer}) \cdot (({P Tube}^{2}) - 0.917 \cdot ({D Outer}^{2}))

Go Number of Baffles in Shell and Tube Heat Exchanger

N Baffles = (\frac{L Tube}{L Baffle}) - 1

Go Number of Tubes in Center Row Given Bundle Diameter and Tube Pitch

N r = \frac{D B}{P Tube}

How to Evaluate Channel Velocity of Fluid given Path Length and Plate Pressure Drop?

Channel Velocity of Fluid given Path Length and Plate Pressure Drop evaluator uses Channel Velocity = sqrt(Plate Pressure Drop*(Equivalent Diameter/Path Length)/(4*Friction Factor*Fluid Density)) to evaluate the Channel Velocity, The Channel Velocity of Fluid given Path Length and Plate Pressure Drop formula is defined as the average velocity of the fluid flowing through the channels formed by adjacent plates. Channel Velocity is denoted by u_p symbol.

How to evaluate Channel Velocity of Fluid given Path Length and Plate Pressure Drop using this online evaluator? To use this online evaluator for Channel Velocity of Fluid given Path Length and Plate Pressure Drop, enter Plate Pressure Drop (ΔP_p), Equivalent Diameter (D_e), Path Length (L_p), Friction Factor (J_f) & Fluid Density (ρ_fluid) and hit the calculate button.

FAQs on Channel Velocity of Fluid given Path Length and Plate Pressure Drop

What is the formula to find Channel Velocity of Fluid given Path Length and Plate Pressure Drop?

The formula of Channel Velocity of Fluid given Path Length and Plate Pressure Drop is expressed as Channel Velocity = sqrt(Plate Pressure Drop*(Equivalent Diameter/Path Length)/(4*Friction Factor*Fluid Density)). Here is an example- 1.845 = sqrt(2070.467*(0.016528/0.63147)/(4*0.004*995)).

How to calculate Channel Velocity of Fluid given Path Length and Plate Pressure Drop?

With Plate Pressure Drop (ΔP_p), Equivalent Diameter (D_e), Path Length (L_p), Friction Factor (J_f) & Fluid Density (ρ_fluid) we can find Channel Velocity of Fluid given Path Length and Plate Pressure Drop using the formula - Channel Velocity = sqrt(Plate Pressure Drop*(Equivalent Diameter/Path Length)/(4*Friction Factor*Fluid Density)). This formula also uses Square Root (sqrt) function(s).

Can the Channel Velocity of Fluid given Path Length and Plate Pressure Drop be negative?

No, the Channel Velocity of Fluid given Path Length and Plate Pressure Drop, measured in Speed cannot be negative.

Which unit is used to measure Channel Velocity of Fluid given Path Length and Plate Pressure Drop?

Channel Velocity of Fluid given Path Length and Plate Pressure Drop is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Channel Velocity of Fluid given Path Length and Plate Pressure Drop can be measured.

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Channel Velocity of Fluid given Path Length and Plate Pressure Drop Formula

Channel Velocity of Fluid given Path Length and Plate Pressure Drop Example

Channel Velocity of Fluid given Path Length and Plate Pressure Drop Solution

Channel Velocity of Fluid given Path Length and Plate Pressure Drop Formula Elements

Other formulas in Basic Formulas of Heat Exchanger Designs category

How to Evaluate Channel Velocity of Fluid given Path Length and Plate Pressure Drop?

FAQs on Channel Velocity of Fluid given Path Length and Plate Pressure Drop

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