✖Reynold Number is defined as the ratio of inertial force to the viscous force of fluid.ⓘ Reynold Number [Re]			+10% -10%
✖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.ⓘ Path Length [L_p]			+10% -10%
✖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.ⓘ Equivalent Diameter [D_e]			+10% -10%
✖Fluid Density is defined as the ratio of mass of given fluid with respect to the volume that it occupies.ⓘ Fluid Density [ρ_fluid]			+10% -10%
✖Channel Velocity refers to the average velocity of the fluid flowing through the channels formed by adjacent plates.ⓘ Channel Velocity [u_p]			+10% -10%

✖Plate Pressure Drop refers to the loss of fluid pressure as the fluid flows through the channels formed by the plates.ⓘ Pressure Drop in Plate Type Heat Exchanger given Reynolds Number [ΔP_p]

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Formula

✖

Pressure Drop in Plate Type Heat Exchanger given Reynolds Number

Formula

`"ΔP"_{"p"} = 8*(0.6*("Re"^(-0.3)))*("L"_{"p"}/"D"_{"e"})*("ρ"_{"fluid"}*("u"_{"p"}^2)/2)`

Example

`"120988.3Pa"=8*(0.6*(("23.159")^(-0.3)))*("631.47mm"/"16.528mm")*("995kg/m³"*(("1.845m/s")^2)/2)`

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Pressure Drop in Plate Type Heat Exchanger given Reynolds Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Plate Pressure Drop = 8*(0.6*(Reynold Number^(-0.3)))*(Path Length/Equivalent Diameter)*(Fluid Density*(Channel Velocity^2)/2)
ΔP_p = 8*(0.6*(Re^(-0.3)))*(L_p/D_e)*(ρ_fluid*(u_p^2)/2)
This formula uses 6 Variables

Variables Used

Plate Pressure Drop - (Measured in Pascal) - Plate Pressure Drop refers to the loss of fluid pressure as the fluid flows through the channels formed by the plates.
Reynold Number - Reynold Number is defined as the ratio of inertial force to the viscous force of fluid.
Path Length - (Measured in Meter) - 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.
Equivalent Diameter - (Measured in Meter) - 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.
Fluid Density - (Measured in Kilogram per Cubic Meter) - Fluid Density is defined as the ratio of mass of given fluid with respect to the volume that it occupies.
Channel Velocity - (Measured in Meter per Second) - Channel Velocity refers to the average velocity of the fluid flowing through the channels formed by adjacent plates.

STEP 1: Convert Input(s) to Base Unit

Reynold Number: 23.159 --> No Conversion Required
Path Length: 631.47 Millimeter --> 0.63147 Meter (Check conversion here)
Equivalent Diameter: 16.528 Millimeter --> 0.016528 Meter (Check conversion here)
Fluid Density: 995 Kilogram per Cubic Meter --> 995 Kilogram per Cubic Meter No Conversion Required
Channel Velocity: 1.845 Meter per Second --> 1.845 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔP_p = 8*(0.6*(Re^(-0.3)))*(L_p/D_e)*(ρ_fluid*(u_p^2)/2) --> 8*(0.6*(23.159^(-0.3)))*(0.63147/0.016528)*(995*(1.845^2)/2)

Evaluating ... ...

ΔP_p = 120988.346458467

STEP 3: Convert Result to Output's Unit

120988.346458467 Pascal --> No Conversion Required

FINAL ANSWER

120988.346458467 ≈ 120988.3 Pascal <-- Plate Pressure Drop

(Calculation completed in 00.020 seconds)

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Home » Engineering » Chemical Engineering » Process Equipment Design » Heat Exchangers » Basic Formulas of Heat Exchanger Designs » Pressure Drop in Plate Type Heat Exchanger given Reynolds Number

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< 25 Basic Formulas of Heat Exchanger Designs Calculators

Pressure Drop of Vapor in Condensers given Vapors on Shell Side

Go Shell Side Pressure Drop = 0.5*8*Friction Factor*(Length of Tube/Baffle Spacing)*(Shell Diameter/Equivalent Diameter)*(Fluid Density/2)*(Fluid Velocity^2)*((Fluid Viscosity at Bulk Temperature/Fluid Viscosity at Wall Temperature)^-0.14)

Shell Side Pressure Drop in Heat Exchanger

Go Shell Side Pressure Drop = (8*Friction Factor*(Length of Tube/Baffle Spacing)*(Shell Diameter/Equivalent Diameter))*(Fluid Density/2)*(Fluid Velocity^2)*((Fluid Viscosity at Bulk Temperature/Fluid Viscosity at Wall Temperature)^-0.14)

Tube Side Pressure Drop in Heat Exchanger for Turbulent Flow

Go Tube Side Pressure Drop = Number of Tube-Side Passes*(8*Friction Factor*(Length of Tube/Pipe Inner Diameter)*(Fluid Viscosity at Bulk Temperature/Fluid Viscosity at Wall Temperature)^-0.14+2.5)*(Fluid Density/2)*(Fluid Velocity^2)

Tube Side Pressure Drop in Heat Exchanger for Laminar Flow

Reynolds Number for Condensate Film Outside Vertical Tubes in Heat Exchanger

Go Reynold Number = 4*Mass Flowrate/(pi*Pipe Outer Diameter*Number of Tubes*Fluid Viscosity at Bulk Temperature)

Reynolds Number for Condensate Film Inside Vertical Tubes in Condenser

Go Reynold Number = 4*Mass Flowrate/(pi*Pipe Inner Diameter*Number of Tubes*Fluid Viscosity at Bulk Temperature)

Number of Tubes in Shell and Tube Heat Exchanger

Go Number of Tubes = 4*Mass Flowrate/(Fluid Density*Fluid Velocity*pi*(Pipe Inner Diameter)^2)

Shell Area for Heat Exchanger

Go Shell Area = (Tube Pitch-Pipe Outer Diameter)*Shell Diameter*(Baffle Spacing/Tube Pitch)

Stack Design Pressure Draft for Furnace

Go Draft Pressure = 0.0342*(Stack Height)*Atmospheric Pressure*(1/Ambient Temperature-1/Flue Gas Temperature)

Number of Transfer Units for Plate Heat Exchanger

Go Number of Transfer Units = (Outlet Temperature-Inlet Temperature)/Log Mean Temperature Difference

Equivalent Diameter for Triangular Pitch in Heat Exchanger

Go Equivalent Diameter = (1.10/Pipe Outer Diameter)*((Tube Pitch^2)-0.917*(Pipe Outer Diameter^2))

Equivalent Diameter for Square Pitch in Heat Exchanger

Go Equivalent Diameter = (1.27/Pipe Outer Diameter)*((Tube Pitch^2)-0.785*(Pipe Outer Diameter^2))

Viscosity Correction Factor for Shell and Tube Heat Exchanger

Go Viscosity Correction Factor = (Fluid Viscosity at Bulk Temperature/Fluid Viscosity at Wall Temperature)^0.14

Pumping Power Required in Heat Exchanger Given Pressure Drop

Go Pumping Power = (Mass Flowrate*Tube Side Pressure Drop)/Fluid Density

Heat Exchanger Volume for Hydrocarbon Applications

Go Heat Exchanger Volume = (Heat Duty of Heat Exchanger/Log Mean Temperature Difference)/100000

Heat Exchanger Volume for Air Separation Applications

Go Heat Exchanger Volume = (Heat Duty of Heat Exchanger/Log Mean Temperature Difference)/50000

Provision for Thermal Expansion and Contraction in Heat Exchanger

Go Thermal Expansion = (97.1*10^-6)*Length of Tube*Temperature Difference

Number of Tubes in Eight Pass Triangular Pitch given Bundle Diameter

Go Number of Tubes = 0.0365*(Bundle Diameter/Pipe Outer Diameter)^2.675

Number of Tubes in Six Pass Triangular Pitch given Bundle Diameter

Go Number of Tubes = 0.0743*(Bundle Diameter/Pipe Outer Diameter)^2.499

Number of Tubes in Four Pass Triangular Pitch given Bundle Diameter

Go Number of Tubes = 0.175*(Bundle Diameter/Pipe Outer Diameter)^2.285

Number of Tubes in One Pass Triangular Pitch given Bundle Diameter

Go Number of Tubes = 0.319*(Bundle Diameter/Pipe Outer Diameter)^2.142

Number of Tubes in Two Pass Triangular Pitch given Bundle Diameter

Go Number of Tubes = 0.249*(Bundle Diameter/Pipe Outer Diameter)^2.207

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

Go Number of Tubes in Vertical Tube Row = Bundle Diameter/Tube Pitch

Number of Baffles in Shell and Tube Heat Exchanger

Go Number of Baffles = (Length of Tube/Baffle Spacing)-1

Shell Diameter of Heat Exchanger Given Clearance and Bundle Diameter

Go Shell Diameter = Shell Clearance+Bundle Diameter

Pressure Drop in Plate Type Heat Exchanger given Reynolds Number Formula

Plate Pressure Drop = 8*(0.6*(Reynold Number^(-0.3)))*(Path Length/Equivalent Diameter)*(Fluid Density*(Channel Velocity^2)/2)
ΔP_p = 8*(0.6*(Re^(-0.3)))*(L_p/D_e)*(ρ_fluid*(u_p^2)/2)

What is the Significance of Plate Pressure Drop in Plate Type Heat Exchanger?

Plate pressure drop in a plate-type heat exchanger refers to the loss of fluid pressure as the fluid flows through the channels formed by the plates. It is a measure of the resistance encountered by the fluid as it moves through the narrow passages between the plates. Plate pressure drop is a critical consideration in the design and operation of plate heat exchangers. Several factors contribute to plate pressure drop, including the fluid velocity, viscosity, flow rate, and the geometric configuration of the plates (such as plate spacing and pattern). Higher fluid velocities and more complex plate arrangements tend to increase pressure drop.

How to Calculate Pressure Drop in Plate Type Heat Exchanger given Reynolds Number?

Pressure Drop in Plate Type Heat Exchanger given Reynolds Number calculator uses Plate Pressure Drop = 8*(0.6*(Reynold Number^(-0.3)))*(Path Length/Equivalent Diameter)*(Fluid Density*(Channel Velocity^2)/2) to calculate the Plate Pressure Drop, The Pressure Drop in Plate Type Heat Exchanger given Reynolds Number formula is defined as the decrease in pressure experienced by the fluid as it travels through the flow channels created by the stacked plates. Plate Pressure Drop is denoted by ΔP_p symbol.

How to calculate Pressure Drop in Plate Type Heat Exchanger given Reynolds Number using this online calculator? To use this online calculator for Pressure Drop in Plate Type Heat Exchanger given Reynolds Number, enter Reynold Number (Re), Path Length (L_p), Equivalent Diameter (D_e), Fluid Density (ρ_fluid) & Channel Velocity (u_p) and hit the calculate button. Here is how the Pressure Drop in Plate Type Heat Exchanger given Reynolds Number calculation can be explained with given input values -> 120988.3 = 8*(0.6*(23.159^(-0.3)))*(0.63147/0.016528)*(995*(1.845^2)/2).

FAQ

What is Pressure Drop in Plate Type Heat Exchanger given Reynolds Number?

The Pressure Drop in Plate Type Heat Exchanger given Reynolds Number formula is defined as the decrease in pressure experienced by the fluid as it travels through the flow channels created by the stacked plates and is represented as ΔP_p = 8*(0.6*(Re^(-0.3)))*(L_p/D_e)*(ρ_fluid*(u_p^2)/2) or Plate Pressure Drop = 8*(0.6*(Reynold Number^(-0.3)))*(Path Length/Equivalent Diameter)*(Fluid Density*(Channel Velocity^2)/2). Reynold Number is defined as the ratio of inertial force to the viscous force of fluid, 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, 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, Fluid Density is defined as the ratio of mass of given fluid with respect to the volume that it occupies & Channel Velocity refers to the average velocity of the fluid flowing through the channels formed by adjacent plates.

How to calculate Pressure Drop in Plate Type Heat Exchanger given Reynolds Number?

The Pressure Drop in Plate Type Heat Exchanger given Reynolds Number formula is defined as the decrease in pressure experienced by the fluid as it travels through the flow channels created by the stacked plates is calculated using Plate Pressure Drop = 8*(0.6*(Reynold Number^(-0.3)))*(Path Length/Equivalent Diameter)*(Fluid Density*(Channel Velocity^2)/2). To calculate Pressure Drop in Plate Type Heat Exchanger given Reynolds Number, you need Reynold Number (Re), Path Length (L_p), Equivalent Diameter (D_e), Fluid Density (ρ_fluid) & Channel Velocity (u_p). With our tool, you need to enter the respective value for Reynold Number, Path Length, Equivalent Diameter, Fluid Density & Channel Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Plate Pressure Drop?

In this formula, Plate Pressure Drop uses Reynold Number, Path Length, Equivalent Diameter, Fluid Density & Channel Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Plate Pressure Drop = 8*Friction Factor*(Path Length/Equivalent Diameter)*(Fluid Density*(Channel Velocity^2))/2

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