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

✖Plate Pressure Drop refers to the loss of fluid pressure as the fluid flows through the channels formed by the plates.ⓘ Plate Pressure Drop [ΔP_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%
✖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%
✖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.ⓘ Friction Factor [J_f]			+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 of Fluid given Path Length and Plate Pressure Drop [u_p]

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Channel Velocity of Fluid given Path Length and Plate Pressure Drop

Formula

`"u"_{"p"} = sqrt("ΔP"_{"p"}*("D"_{"e"}/"L"_{"p"})/(4*"J"_{"f"}*"ρ"_{"fluid"}))`

Example

`"1.845m/s"=sqrt("2070.467Pa"*("16.528mm"/"631.47mm")/(4*"0.004"*"995kg/m³"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Channel Velocity = sqrt(Plate Pressure Drop*(Equivalent Diameter/Path Length)/(4*Friction Factor*Fluid Density))
u_p = sqrt(ΔP_p*(D_e/L_p)/(4*J_f*ρ_fluid))
This formula uses 1 Functions, 6 Variables

Functions Used

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., sqrt(Number)

Variables Used

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.
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.
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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Plate Pressure Drop: 2070.467 Pascal --> 2070.467 Pascal No Conversion Required
Equivalent Diameter: 16.528 Millimeter --> 0.016528 Meter (Check conversion here)
Path Length: 631.47 Millimeter --> 0.63147 Meter (Check conversion here)
Friction Factor: 0.004 --> No Conversion Required
Fluid Density: 995 Kilogram per Cubic Meter --> 995 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u_p = sqrt(ΔP_p*(D_e/L_p)/(4*J_f*ρ_fluid)) --> sqrt(2070.467*(0.016528/0.63147)/(4*0.004*995))

Evaluating ... ...

u_p = 1.84500019089444

STEP 3: Convert Result to Output's Unit

1.84500019089444 Meter per Second --> No Conversion Required

FINAL ANSWER

1.84500019089444 ≈ 1.845 Meter per Second <-- Channel Velocity

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Process Equipment Design » Heat Exchangers » Basic Formulas Of Heat Exchanger Designs » Channel Velocity of Fluid given Path Length and Plate Pressure Drop

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Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR

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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

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

Channel Velocity = sqrt(Plate Pressure Drop*(Equivalent Diameter/Path Length)/(4*Friction Factor*Fluid Density))
u_p = sqrt(ΔP_p*(D_e/L_p)/(4*J_f*ρ_fluid))

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

Channel Velocity of Fluid given Path Length and Plate Pressure Drop calculator uses Channel Velocity = sqrt(Plate Pressure Drop*(Equivalent Diameter/Path Length)/(4*Friction Factor*Fluid Density)) to calculate 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 calculate Channel Velocity of Fluid given Path Length and Plate Pressure Drop using this online calculator? To use this online calculator 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. Here is how the Channel Velocity of Fluid given Path Length and Plate Pressure Drop calculation can be explained with given input values -> 1.845 = sqrt(2070.467*(0.016528/0.63147)/(4*0.004*995)).

FAQ

What is Channel Velocity of Fluid given Path Length and Plate Pressure Drop?

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 and is represented as u_p = sqrt(ΔP_p*(D_e/L_p)/(4*J_f*ρ_fluid)) or Channel Velocity = sqrt(Plate Pressure Drop*(Equivalent Diameter/Path Length)/(4*Friction Factor*Fluid Density)). Plate Pressure Drop refers to the loss of fluid pressure as the fluid flows through the channels formed by the 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, 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, 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 & Fluid Density is defined as the ratio of mass of given fluid with respect to the volume that it occupies.

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

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 is calculated using Channel Velocity = sqrt(Plate Pressure Drop*(Equivalent Diameter/Path Length)/(4*Friction Factor*Fluid Density)). To calculate Channel Velocity of Fluid given Path Length and Plate Pressure Drop, you need Plate Pressure Drop (ΔP_p), Equivalent Diameter (D_e), Path Length (L_p), Friction Factor (J_f) & Fluid Density (ρ_fluid). With our tool, you need to enter the respective value for Plate Pressure Drop, Equivalent Diameter, Path Length, Friction Factor & Fluid Density and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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