✖Shell area of a heat exchanger refers the total area through which the fluid on the shell side can flow.ⓘ Shell Area [A_s]			+10% -10%
✖Tube Pitch in a heat exchanger refers to the center-to-center spacing between adjacent tubes in a tube bundle of heat exchanger.ⓘ Tube Pitch [P_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%
✖Pipe Outer Diameter refers to the measurement of the outside or external diameter of a cylindrical pipe. It includes the pipe thickness into it.ⓘ Pipe Outer Diameter [D_Outer]			+10% -10%

✖Shell Diameter of a heat exchanger refers to the internal diameter of the cylindrical shell that houses the tube bundle.ⓘ Shell Diameter Given Shell Area and Baffle Spacing and Tube Pitch [D_s]

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Formula

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Shell Diameter Given Shell Area and Baffle Spacing and Tube Pitch

Formula

`"D"_{"s"} = ("A"_{"s"}*"P"_{"Tube"})/("L"_{"Baffle"}*("P"_{"Tube"}-"D"_{"Outer"}))`

Example

`"509.9962mm"=("0.017739m²"*"23mm")/("200mm"*("23mm"-"19mm"))`

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Shell Diameter Given Shell Area and Baffle Spacing and Tube Pitch Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shell Diameter = (Shell Area*Tube Pitch)/(Baffle Spacing*(Tube Pitch-Pipe Outer Diameter))
D_s = (A_s*P_Tube)/(L_Baffle*(P_Tube-D_Outer))
This formula uses 5 Variables

Variables Used

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.
Shell Area - (Measured in Square Meter) - Shell area of a heat exchanger refers the total area through which the fluid on the shell side can flow.
Tube Pitch - (Measured in Meter) - Tube Pitch in a heat exchanger refers to the center-to-center spacing between adjacent tubes in a tube bundle of heat 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.
Pipe Outer Diameter - (Measured in Meter) - Pipe Outer Diameter refers to the measurement of the outside or external diameter of a cylindrical pipe. It includes the pipe thickness into it.

STEP 1: Convert Input(s) to Base Unit

Shell Area: 0.017739 Square Meter --> 0.017739 Square Meter No Conversion Required
Tube Pitch: 23 Millimeter --> 0.023 Meter (Check conversion here)
Baffle Spacing: 200 Millimeter --> 0.2 Meter (Check conversion here)
Pipe Outer Diameter: 19 Millimeter --> 0.019 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_s = (A_s*P_Tube)/(L_Baffle*(P_Tube-D_Outer)) --> (0.017739*0.023)/(0.2*(0.023-0.019))

Evaluating ... ...

D_s = 0.50999625

STEP 3: Convert Result to Output's Unit

0.50999625 Meter -->509.99625 Millimeter (Check conversion here)

FINAL ANSWER

509.99625 ≈ 509.9962 Millimeter <-- Shell Diameter

(Calculation completed in 00.007 seconds)

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Home » Engineering » Chemical Engineering » Process Equipment Design » Heat Exchangers » Basic Formulas Of Heat Exchanger Designs » Shell Diameter Given Shell Area and Baffle Spacing and Tube Pitch

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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 Diameter Given Shell Area and Baffle Spacing and Tube Pitch Formula

Shell Diameter = (Shell Area*Tube Pitch)/(Baffle Spacing*(Tube Pitch-Pipe Outer Diameter))
D_s = (A_s*P_Tube)/(L_Baffle*(P_Tube-D_Outer))

What is the Significance of Shell Area in a Shell and Tube Heat Exchanger?

The shell area influences the ability of the heat exchanger to control temperatures. A larger surface area allows for more effective temperature control and greater heat exchange between the fluids. The shell area, along with other design parameters, contributes to the overall size and compactness of the heat exchanger. Engineers aim to design heat exchangers that efficiently utilize available space while meeting the required thermal performance. In summary, the significance of the shell area in a shell-and-tube heat exchanger lies in its role as a fundamental parameter influencing the heat exchanger's thermal performance, efficiency, and overall design. Engineers carefully consider the size and characteristics of the shell area to achieve the desired heat transfer characteristics while meeting practical and operational constraints.

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.

How to Calculate Shell Diameter Given Shell Area and Baffle Spacing and Tube Pitch?

Shell Diameter Given Shell Area and Baffle Spacing and Tube Pitch calculator uses Shell Diameter = (Shell Area*Tube Pitch)/(Baffle Spacing*(Tube Pitch-Pipe Outer Diameter)) to calculate the Shell Diameter, The Shell Diameter Given Shell Area and Baffle Spacing and Tube Pitch formula is defined as the outer diameter of the cylindrical shell that encases the tube bundle. Shell Diameter is denoted by D_s symbol.

How to calculate Shell Diameter Given Shell Area and Baffle Spacing and Tube Pitch using this online calculator? To use this online calculator for Shell Diameter Given Shell Area and Baffle Spacing and Tube Pitch, enter Shell Area (A_s), Tube Pitch (P_Tube), Baffle Spacing (L_Baffle) & Pipe Outer Diameter (D_Outer) and hit the calculate button. Here is how the Shell Diameter Given Shell Area and Baffle Spacing and Tube Pitch calculation can be explained with given input values -> 509996.2 = (0.017739*0.023)/(0.2*(0.023-0.019)).

FAQ

What is Shell Diameter Given Shell Area and Baffle Spacing and Tube Pitch?

The Shell Diameter Given Shell Area and Baffle Spacing and Tube Pitch formula is defined as the outer diameter of the cylindrical shell that encases the tube bundle and is represented as D_s = (A_s*P_Tube)/(L_Baffle*(P_Tube-D_Outer)) or Shell Diameter = (Shell Area*Tube Pitch)/(Baffle Spacing*(Tube Pitch-Pipe Outer Diameter)). Shell area of a heat exchanger refers the total area through which the fluid on the shell side can flow, Tube Pitch in a heat exchanger refers to the center-to-center spacing between adjacent tubes in a tube bundle of heat exchanger, Baffle spacing refers to the distance between adjacent baffles within the heat exchanger. Their purpose is to create turbulence on shell side fluid & Pipe Outer Diameter refers to the measurement of the outside or external diameter of a cylindrical pipe. It includes the pipe thickness into it.

How to calculate Shell Diameter Given Shell Area and Baffle Spacing and Tube Pitch?

The Shell Diameter Given Shell Area and Baffle Spacing and Tube Pitch formula is defined as the outer diameter of the cylindrical shell that encases the tube bundle is calculated using Shell Diameter = (Shell Area*Tube Pitch)/(Baffle Spacing*(Tube Pitch-Pipe Outer Diameter)). To calculate Shell Diameter Given Shell Area and Baffle Spacing and Tube Pitch, you need Shell Area (A_s), Tube Pitch (P_Tube), Baffle Spacing (L_Baffle) & Pipe Outer Diameter (D_Outer). With our tool, you need to enter the respective value for Shell Area, Tube Pitch, Baffle Spacing & Pipe Outer Diameter 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 Diameter?

In this formula, Shell Diameter uses Shell Area, Tube Pitch, Baffle Spacing & Pipe Outer Diameter. We can use 1 other way(s) to calculate the same, which is/are as follows -

Shell Diameter = Shell Clearance+Bundle Diameter

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