Pressure Drop of Vapor in Condensers given Vapors on Shell Side Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
ΔPShell = 0.5*8*Jf*(LTube/LBaffle)*(Ds/De)*(ρfluid/2)*(Vf^2)*((μfluid/μWall)^-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 it flows over a surface.
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: 4.5 Meter --> 4.5 Meter No Conversion Required
Baffle Spacing: 0.2 Meter --> 0.2 Meter No Conversion Required
Shell Diameter: 510 Millimeter --> 0.51 Meter (Check conversion here)
Equivalent Diameter: 21 Millimeter --> 0.021 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
ΔPShell = 0.5*8*Jf*(LTube/LBaffle)*(Ds/De)*(ρfluid/2)*(Vf^2)*((μfluidWall)^-0.14) --> 0.5*8*0.004*(4.5/0.2)*(0.51/0.021)*(995/2)*(2.5^2)*((1.005/1.006)^-0.14)
Evaluating ... ...
ΔPShell = 27188.6067495859
STEP 3: Convert Result to Output's Unit
27188.6067495859 Pascal -->27.1886067495859 Kilopascal (Check conversion here)
27.1886067495859 27.18861 Kilopascal <-- Shell Side Pressure Drop
(Calculation completed in 00.004 seconds)
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< 17 Heat Exchangers Calculators

Pressure Drop of Vapor in Condensers given Vapors on Shell Side
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
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)
Shell Side Heat Transfer Coefficient
Shell Side Heat Transfer Coefficient = Heat Transfer Factor*Reynold Number*(Prandlt Number^0.333)*(Thermal Conductivity/Equivalent Diameter)*((Fluid Viscosity at BulThermal Conductivity Temperature/Fluid Viscosity at Wall Temperature)^0.14)
Tube Side Pressure Drop in Heat Exchanger for Turbulent Flow
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
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)^-0.25+2.5)*(Fluid Density/2)*(Fluid Velocity^2)
Reynolds Number for Condensate Film Outside Vertical Tubes in Heat Exchanger
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
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
Number of Tubes = 4*Mass Flowrate/(Fluid Density*Fluid Velocity*pi*(Pipe Inner Diameter)^2)
Shell Area for Heat Exchanger
Shell Area = (Tube Pitch-Pipe Outer Diameter)*Shell Diameter*(Baffle Spacing/Tube Pitch)
Stack Design Pressure Draft for Furnace
Draft Pressure = 0.0342*(Stack Height)*Atmospheric Pressure*(1/Ambient Temperature-1/Flue Gas Temperature)
Equivalent Diameter for Square Pitch in Heat Exchanger
Equivalent Diameter = (1.27/Pipe Outer Diameter)*((Tube Pitch^2)-0.785*(Pipe Outer Diameter^2))
Equivalent Diameter for Triangular Pitch in Heat Exchanger
Equivalent Diameter = (1.10/Pipe Outer Diameter)*((Tube Pitch^2)-0.917*(Pipe Outer Diameter^2))
Viscosity Correction Factor for Shell and Tube Heat Exchanger
Viscosity Correction Factor = (Fluid Viscosity at Bulk Temperature/Fluid Viscosity at Wall Temperature)^0.14
Number of Transfer Units for Plate Heat Exchanger
Number Of Transfer Units-NTU = (Outlet Temperature-Inlet Temperature)/LMTD
Number of Tubes in Center Row Given Bundle Diameter and Tube Pitch
Number of Tubes in Vertical Tube Row = Bundle Diameter/Tube Pitch
Number of Baffles in Shell and Tube Heat Exchanger
Number of Baffles = (Length of Tube/Baffle Spacing)-1
Shell Diameter of Heat Exchanger Given Clearance and Bundle Diameter
Shell Diameter = Shell Clearance+Bundle Diameter

Pressure Drop of Vapor in Condensers given Vapors on Shell Side Formula

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)
ΔPShell = 0.5*8*Jf*(LTube/LBaffle)*(Ds/De)*(ρfluid/2)*(Vf^2)*((μfluid/μWall)^-0.14)

What is Condenser?

Condenser is a special type of Heat Exchanger in which hot vapors transfer their latent heat to the colder fluid and thus results into condensation of vapors into liquid phase.

What is the Significance of Pressure Drop?

Pressure Drop plays a crucial role in designing a condenser.

Pressure drop can influence the temperature profiles within the condenser. An even distribution of temperatures across the condenser surface is essential for efficient heat transfer. High pressure drops may cause uneven temperature distribution, leading to hotspots and reduced heat transfer efficiency.

How to Calculate Pressure Drop of Vapor in Condensers given Vapors on Shell Side?

Pressure Drop of Vapor in Condensers given Vapors on Shell Side calculator uses 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) to calculate the Shell Side Pressure Drop, The Pressure Drop of Vapor in Condensers given Vapors on Shell Side formula is defined as difference between the inlet pressure and the outlet pressure of the vapor that is to be condensed in Heat exchanger called as condenser. Shell Side Pressure Drop is denoted by ΔPShell symbol.

How to calculate Pressure Drop of Vapor in Condensers given Vapors on Shell Side using this online calculator? To use this online calculator for Pressure Drop of Vapor in Condensers given Vapors on Shell Side, enter Friction Factor (Jf), Length of Tube (LTube), Baffle Spacing (LBaffle), Shell Diameter (Ds), Equivalent Diameter (De), Fluid Density fluid), Fluid Velocity (Vf), Fluid Viscosity at Bulk Temperature fluid) & Fluid Viscosity at Wall Temperature Wall) and hit the calculate button. Here is how the Pressure Drop of Vapor in Condensers given Vapors on Shell Side calculation can be explained with given input values -> 0.026655 = 0.5*8*0.004*(4.5/0.2)*(0.51/0.021)*(995/2)*(2.5^2)*((1.005/1.006)^-0.14).

FAQ

What is Pressure Drop of Vapor in Condensers given Vapors on Shell Side?
The Pressure Drop of Vapor in Condensers given Vapors on Shell Side formula is defined as difference between the inlet pressure and the outlet pressure of the vapor that is to be condensed in Heat exchanger called as condenser and is represented as ΔPShell = 0.5*8*Jf*(LTube/LBaffle)*(Ds/De)*(ρfluid/2)*(Vf^2)*((μfluid/μWall)^-0.14) or 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). 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 it flows over a surface, 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 Pressure Drop of Vapor in Condensers given Vapors on Shell Side?
The Pressure Drop of Vapor in Condensers given Vapors on Shell Side formula is defined as difference between the inlet pressure and the outlet pressure of the vapor that is to be condensed in Heat exchanger called as condenser is calculated using 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). To calculate Pressure Drop of Vapor in Condensers given Vapors on Shell Side, you need Friction Factor (Jf), Length of Tube (LTube), Baffle Spacing (LBaffle), Shell Diameter (Ds), Equivalent Diameter (De), Fluid Density fluid), Fluid Velocity (Vf), Fluid Viscosity at Bulk Temperature fluid) & Fluid Viscosity at Wall Temperature 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 = (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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