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Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop Formula

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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. Check FAQs

L p = ΔP p \cdot \frac{D e}{8 \cdot J f \cdot \frac{ρ fluid \cdot ({u p}^{2})}{2}}

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

Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop Example

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

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

Here is how the Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop equation looks like.

631.4701 = 2070.467 \cdot \frac{16.528}{8 \cdot 0.004 \cdot \frac{995 \cdot ({1.845}^{2})}{2}}

631.4701mm = 2070.467Pa \cdot \frac{16.528mm}{8 \cdot 0.004 \cdot \frac{995kg/m³ \cdot ({1.845m/s}^{2})}{2}}

631.4701 = 2070.467 \cdot \frac{16.528}{8 \cdot 0.004 \cdot \frac{995 \cdot ({1.845}^{2})}{2}}

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Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop Solution

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

FIRST Step Consider the formula

L p = ΔP p \cdot \frac{D e}{8 \cdot J f \cdot \frac{ρ fluid \cdot ({u p}^{2})}{2}}

Next Step Substitute values of Variables

∴

L p = 2070.467Pa \cdot \frac{16.528mm}{8 \cdot 0.004 \cdot \frac{995kg/m³ \cdot ({1.845m/s}^{2})}{2}}

Next Step Convert Units

∴

L p = 2070.467Pa \cdot \frac{0.0165m}{8 \cdot 0.004 \cdot \frac{995kg/m³ \cdot ({1.845m/s}^{2})}{2}}

Next Step Prepare to Evaluate

∴

L p = 2070.467 \cdot \frac{0.0165}{8 \cdot 0.004 \cdot \frac{995 \cdot ({1.845}^{2})}{2}}

Next Step Evaluate

∴

L p = 0.631470130671129m

Next Step Convert to Output's Unit

∴

L p = 631.470130671129mm

LAST Step Rounding Answer

∴

L p = 631.4701mm

Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop Formula Elements

Variables

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

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

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

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

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 Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop?

Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop evaluator uses Path Length = Plate Pressure Drop*Equivalent Diameter/(8*Friction Factor*(Fluid Density*(Channel Velocity^2))/2) to evaluate the Path Length, The Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop formula is defined as 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. Path Length is denoted by L_p symbol.

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

FAQs on Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop

What is the formula to find Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop?

The formula of Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop is expressed as Path Length = Plate Pressure Drop*Equivalent Diameter/(8*Friction Factor*(Fluid Density*(Channel Velocity^2))/2). Here is an example- 631470.1 = 2070.467*0.016528/(8*0.004*(995*(1.845^2))/2).

How to calculate Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop?

With Plate Pressure Drop (ΔP_p), Equivalent Diameter (D_e), Friction Factor (J_f), Fluid Density (ρ_fluid) & Channel Velocity (u_p) we can find Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop using the formula - Path Length = Plate Pressure Drop*Equivalent Diameter/(8*Friction Factor*(Fluid Density*(Channel Velocity^2))/2).

Can the Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop be negative?

No, the Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop, measured in Length cannot be negative.

Which unit is used to measure Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop?

Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop can be measured.

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Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop Formula

Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop Example

Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop Solution

Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop Formula Elements

Other formulas in Basic Formulas of Heat Exchanger Designs category

How to Evaluate Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop?

FAQs on Path Length of Fluid in Plate Heat Exchanger Given Channel Velocity and Plate Pressure Drop

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