Shell Side Pressure Drop in Heat Exchanger Calculator

✖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%
✖Length of tube is the length which will be used during heat transfer in a exchanger.ⓘ Length of Tube [L_Tube]			+10% -10%
✖Baffle spacing refers to the distance between adjacent baffles within the heat exchanger. Their purpose is to create turbulence on shell side fluid.ⓘ Baffle Spacing [L_Baffle]			+10% -10%
✖Shell Diameter of a heat exchanger refers to the internal diameter of the cylindrical shell that houses the tube bundle.ⓘ Shell Diameter [D_s]			+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%
✖Fluid Velocity is defined as the speed with which fluid flows inside a tube or pipe.ⓘ Fluid Velocity [V_f]			+10% -10%
✖Fluid viscosity at Bulk Temperature is a fundamental property of fluids that characterizes their resistance to flow. It is defined at the bulk temperature of the fluid.ⓘ Fluid Viscosity at Bulk Temperature [μ_fluid]			+10% -10%
✖Fluid Viscosity at Wall Temperature is defined at the temperature of the wall of pipe or surface at which the fluid is in contact with it.ⓘ Fluid Viscosity at Wall Temperature [μ_Wall]			+10% -10%

✖Shell Side Pressure Drop is defined as the reduction in pressure of the fluid that was allocated on the shell side of a Heat Exchanger.ⓘ Shell Side Pressure Drop in Heat Exchanger [ΔP_Shell]

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Formula

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Shell Side Pressure Drop in Heat Exchanger

Formula

`"ΔP"_{"Shell"} = (8*"J"_{"f"}*("L"_{"Tube"}/"L"_{"Baffle"})*("D"_{"s"}/"D"_{"e"}))*("ρ"_{"fluid"}/2)*("V"_{"f"}^2)*(("μ"_{"fluid"}/"μ"_{"Wall"})^-0.14)`

Example

`"69090.12Pa"=(8*"0.004"*("4500mm"/"200mm")*("510mm"/"16.528mm"))*("995kg/m³"/2)*(("2.5m/s")^2)*(("1.005Pa*s"/"1.006Pa*s")^-0.14)`

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Shell Side Pressure Drop in Heat Exchanger Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
ΔP_Shell = (8*J_f*(L_Tube/L_Baffle)*(D_s/D_e))*(ρ_fluid/2)*(V_f^2)*((μ_fluid/μ_Wall)^-0.14)
This formula uses 10 Variables

Variables Used

Shell Side Pressure Drop - (Measured in Pascal) - Shell Side Pressure Drop is defined as the reduction in pressure of the fluid that was allocated on the shell side of a Heat Exchanger.
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.
Length of Tube - (Measured in Meter) - Length of tube is the length which will be used during heat transfer in a exchanger.
Baffle Spacing - (Measured in Meter) - Baffle spacing refers to the distance between adjacent baffles within the heat exchanger. Their purpose is to create turbulence on shell side fluid.
Shell Diameter - (Measured in Meter) - Shell Diameter of a heat exchanger refers to the internal diameter of the cylindrical shell that houses the tube bundle.
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.
Fluid Velocity - (Measured in Meter per Second) - Fluid Velocity is defined as the speed with which fluid flows inside a tube or pipe.
Fluid Viscosity at Bulk Temperature - (Measured in Pascal Second) - Fluid viscosity at Bulk Temperature is a fundamental property of fluids that characterizes their resistance to flow. It is defined at the bulk temperature of the fluid.
Fluid Viscosity at Wall Temperature - (Measured in Pascal Second) - Fluid Viscosity at Wall Temperature is defined at the temperature of the wall of pipe or surface at which the fluid is in contact with it.

STEP 1: Convert Input(s) to Base Unit

Friction Factor: 0.004 --> No Conversion Required
Length of Tube: 4500 Millimeter --> 4.5 Meter (Check conversion here)
Baffle Spacing: 200 Millimeter --> 0.2 Meter (Check conversion here)
Shell Diameter: 510 Millimeter --> 0.51 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
Fluid Velocity: 2.5 Meter per Second --> 2.5 Meter per Second No Conversion Required
Fluid Viscosity at Bulk Temperature: 1.005 Pascal Second --> 1.005 Pascal Second No Conversion Required
Fluid Viscosity at Wall Temperature: 1.006 Pascal Second --> 1.006 Pascal Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔP_Shell = (8*J_f*(L_Tube/L_Baffle)*(D_s/D_e))*(ρ_fluid/2)*(V_f^2)*((μ_fluid/μ_Wall)^-0.14) --> (8*0.004*(4.5/0.2)*(0.51/0.016528))*(995/2)*(2.5^2)*((1.005/1.006)^-0.14)

Evaluating ... ...

ΔP_Shell = 69090.1187973504

STEP 3: Convert Result to Output's Unit

69090.1187973504 Pascal --> No Conversion Required

FINAL ANSWER

69090.1187973504 ≈ 69090.12 Pascal <-- Shell Side Pressure Drop

(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 » Shell Side Pressure Drop in Heat Exchanger

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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

Shell Side Pressure Drop in Heat Exchanger Formula

What is Shell and Tube heat exchanger?

A Shell and Tube Heat Exchanger is a common type of heat exchanger used in various industrial applications to transfer heat between two fluids. It consists of a large, cylindrical outer shell (usually made of metal) with multiple smaller tubes (also made of metal) running through it. The tubes are arranged in a bundle inside the shell and are typically oriented parallel to the shell's longitudinal axis.

What are the Factors For Shell Side Pressure Drop?

Baffles placed in the shell plays a major role in pressure drop of the fluid. The other parameters that results are the due to continuous directional changes of Shell side fluid.

How to Calculate Shell Side Pressure Drop in Heat Exchanger?

Shell Side Pressure Drop in Heat Exchanger calculator uses 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) to calculate the Shell Side Pressure Drop, The Shell Side Pressure Drop in Heat Exchanger formula is defined as difference between inlet pressure and the outlet pressure of the fluid that is allocated on Shell side of shell and tube heat exchanger. Shell Side Pressure Drop is denoted by ΔP_Shell symbol.

How to calculate Shell Side Pressure Drop in Heat Exchanger using this online calculator? To use this online calculator for Shell Side Pressure Drop in Heat Exchanger, enter Friction Factor (J_f), Length of Tube (L_Tube), Baffle Spacing (L_Baffle), Shell Diameter (D_s), Equivalent Diameter (D_e), Fluid Density (ρ_fluid), Fluid Velocity (V_f), Fluid Viscosity at Bulk Temperature (μ_fluid) & Fluid Viscosity at Wall Temperature (μ_Wall) and hit the calculate button. Here is how the Shell Side Pressure Drop in Heat Exchanger calculation can be explained with given input values -> 69090.12 = (8*0.004*(4.5/0.2)*(0.51/0.016528))*(995/2)*(2.5^2)*((1.005/1.006)^-0.14).

FAQ

What is Shell Side Pressure Drop in Heat Exchanger?

The Shell Side Pressure Drop in Heat Exchanger formula is defined as difference between inlet pressure and the outlet pressure of the fluid that is allocated on Shell side of shell and tube heat exchanger and is represented as ΔP_Shell = (8*J_f*(L_Tube/L_Baffle)*(D_s/D_e))*(ρ_fluid/2)*(V_f^2)*((μ_fluid/μ_Wall)^-0.14) or 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). 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, Length of tube is the length which will be used during heat transfer in a exchanger, Baffle spacing refers to the distance between adjacent baffles within the heat exchanger. Their purpose is to create turbulence on shell side fluid, Shell Diameter of a heat exchanger refers to the internal diameter of the cylindrical shell that houses the tube bundle, 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, Fluid Velocity is defined as the speed with which fluid flows inside a tube or pipe, Fluid viscosity at Bulk Temperature is a fundamental property of fluids that characterizes their resistance to flow. It is defined at the bulk temperature of the fluid & Fluid Viscosity at Wall Temperature is defined at the temperature of the wall of pipe or surface at which the fluid is in contact with it.

How to calculate Shell Side Pressure Drop in Heat Exchanger?

The Shell Side Pressure Drop in Heat Exchanger formula is defined as difference between inlet pressure and the outlet pressure of the fluid that is allocated on Shell side of shell and tube heat exchanger is calculated using 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). To calculate Shell Side Pressure Drop in Heat Exchanger, you need Friction Factor (J_f), Length of Tube (L_Tube), Baffle Spacing (L_Baffle), Shell Diameter (D_s), Equivalent Diameter (D_e), Fluid Density (ρ_fluid), Fluid Velocity (V_f), Fluid Viscosity at Bulk Temperature (μ_fluid) & Fluid Viscosity at Wall Temperature (μ_Wall). With our tool, you need to enter the respective value for Friction Factor, Length of Tube, Baffle Spacing, Shell Diameter, Equivalent Diameter, Fluid Density, Fluid Velocity, Fluid Viscosity at Bulk Temperature & Fluid Viscosity at Wall Temperature 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 Shell Side Pressure Drop?

In this formula, Shell Side Pressure Drop uses Friction Factor, Length of Tube, Baffle Spacing, Shell Diameter, Equivalent Diameter, Fluid Density, Fluid Velocity, Fluid Viscosity at Bulk Temperature & Fluid Viscosity at Wall Temperature. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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