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Shell Side Pressure Drop in Heat Exchanger Formula

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

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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. Check FAQs

ΔP Shell = (8 \cdot J f \cdot (\frac{L Tube}{L Baffle}) \cdot (\frac{D s}{D e})) \cdot (\frac{ρ fluid}{2}) \cdot ({V f}^{2}) \cdot ({(\frac{μ fluid}{μ Wall})}^{- 0.14})

ΔP_Shell - Shell Side Pressure Drop?J_f - Friction Factor?L_Tube - Length of Tube?L_Baffle - Baffle Spacing?D_s - Shell Diameter?D_e - Equivalent Diameter?ρ_fluid - Fluid Density?V_f - Fluid Velocity?μ_fluid - Fluid Viscosity at Bulk Temperature?μ_Wall - Fluid Viscosity at Wall Temperature?

Shell Side Pressure Drop in Heat Exchanger Example

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Here is how the Shell Side Pressure Drop in Heat Exchanger equation looks like with Values.

Here is how the Shell Side Pressure Drop in Heat Exchanger equation looks like with Units.

Here is how the Shell Side Pressure Drop in Heat Exchanger equation looks like.

69090.1188 = (8 \cdot 0.004 \cdot (\frac{4500}{200}) \cdot (\frac{510}{16.528})) \cdot (\frac{995}{2}) \cdot ({2.5}^{2}) \cdot ({(\frac{1.005}{1.006})}^{- 0.14})

69090.1188Pa = (8 \cdot 0.004 \cdot (\frac{4500mm}{200mm}) \cdot (\frac{510mm}{16.528mm})) \cdot (\frac{995kg/m³}{2}) \cdot ({2.5m/s}^{2}) \cdot ({(\frac{1.005Pa*s}{1.006Pa*s})}^{- 0.14})

69090.1188 = (8 \cdot 0.004 \cdot (\frac{4500}{200}) \cdot (\frac{510}{16.528})) \cdot (\frac{995}{2}) \cdot ({2.5}^{2}) \cdot ({(\frac{1.005}{1.006})}^{- 0.14})

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Shell Side Pressure Drop in Heat Exchanger Solution

Follow our step by step solution on how to calculate Shell Side Pressure Drop in Heat Exchanger?

FIRST Step Consider the formula

ΔP Shell = (8 \cdot J f \cdot (\frac{L Tube}{L Baffle}) \cdot (\frac{D s}{D e})) \cdot (\frac{ρ fluid}{2}) \cdot ({V f}^{2}) \cdot ({(\frac{μ fluid}{μ Wall})}^{- 0.14})

Next Step Substitute values of Variables

∴

ΔP Shell = (8 \cdot 0.004 \cdot (\frac{4500mm}{200mm}) \cdot (\frac{510mm}{16.528mm})) \cdot (\frac{995kg/m³}{2}) \cdot ({2.5m/s}^{2}) \cdot ({(\frac{1.005Pa*s}{1.006Pa*s})}^{- 0.14})

Next Step Convert Units

∴

ΔP Shell = (8 \cdot 0.004 \cdot (\frac{4.5m}{0.2m}) \cdot (\frac{0.51m}{0.0165m})) \cdot (\frac{995kg/m³}{2}) \cdot ({2.5m/s}^{2}) \cdot ({(\frac{1.005Pa*s}{1.006Pa*s})}^{- 0.14})

Next Step Prepare to Evaluate

∴

ΔP Shell = (8 \cdot 0.004 \cdot (\frac{4.5}{0.2}) \cdot (\frac{0.51}{0.0165})) \cdot (\frac{995}{2}) \cdot ({2.5}^{2}) \cdot ({(\frac{1.005}{1.006})}^{- 0.14})

Next Step Evaluate

∴

ΔP Shell = 69090.1187973504Pa

LAST Step Rounding Answer

∴

ΔP Shell = 69090.1188Pa

Shell Side Pressure Drop in Heat Exchanger Formula Elements

Variables

Shell Side Pressure Drop

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.

Symbol: ΔP_Shell

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shell Side Pressure Drop

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.

Symbol: J_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Friction Factor

Length of Tube

Length of tube is the length which will be used during heat transfer in a exchanger.

Symbol: L_Tube

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Tube

Baffle Spacing

Baffle spacing refers to the distance between adjacent baffles within the heat exchanger. Their purpose is to create turbulence on shell side fluid.

Symbol: L_Baffle

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Baffle Spacing

Shell Diameter

Shell Diameter of a heat exchanger refers to the internal diameter of the cylindrical shell that houses the tube bundle.

Symbol: D_s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Shell Diameter

Equivalent Diameter

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.

Symbol: D_e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Equivalent Diameter

Fluid Density

Fluid Density is defined as the ratio of mass of given fluid with respect to the volume that it occupies.

Symbol: ρ_fluid

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Fluid Density

Fluid Velocity

Fluid Velocity is defined as the speed with which fluid flows inside a tube or pipe.

Symbol: V_f

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Fluid Velocity

Fluid Viscosity at Bulk Temperature

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.

Symbol: μ_fluid

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value should be greater than 0.

Formulas to find Fluid Viscosity at Bulk Temperature

Fluid Viscosity at Wall Temperature

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.

Symbol: μ_Wall

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value should be greater than 0.

Formulas to find Fluid Viscosity at Wall Temperature

Other Formulas to find Shell Side Pressure Drop

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

ΔP Shell = 0.5 \cdot 8 \cdot J f \cdot (\frac{L Tube}{L Baffle}) \cdot (\frac{D s}{D e}) \cdot (\frac{ρ fluid}{2}) \cdot ({V f}^{2}) \cdot ({(\frac{μ fluid}{μ Wall})}^{- 0.14})

Other formulas in Basic Formulas of Heat Exchanger Designs category

Go Equivalent Diameter for Square Pitch in Heat Exchanger

D e = (\frac{1.27}{D Outer}) \cdot (({P Tube}^{2}) - 0.785 \cdot ({D Outer}^{2}))

Go Equivalent Diameter for Triangular Pitch in Heat Exchanger

D e = (\frac{1.10}{D Outer}) \cdot (({P Tube}^{2}) - 0.917 \cdot ({D Outer}^{2}))

How to Evaluate Shell Side Pressure Drop in Heat Exchanger?

Shell Side Pressure Drop in Heat Exchanger evaluator 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 evaluate 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 evaluate Shell Side Pressure Drop in Heat Exchanger using this online evaluator? To use this online evaluator 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.

FAQs on Shell Side Pressure Drop in Heat Exchanger

What is the formula to find Shell Side Pressure Drop in Heat Exchanger?

The formula of Shell Side Pressure Drop in Heat Exchanger is expressed as 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). Here is an example- 69090.12 = (8*0.004*(4.5/0.2)*(0.51/0.016528))*(995/2)*(2.5^2)*((1.005/1.006)^-0.14).

How to calculate Shell Side Pressure Drop in Heat Exchanger?

With 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) we can find Shell Side Pressure Drop in Heat Exchanger using the formula - 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).

What are the other ways to Calculate Shell Side Pressure Drop?

Here are the different ways to Calculate Shell Side Pressure Drop-

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)

Can the Shell Side Pressure Drop in Heat Exchanger be negative?

No, the Shell Side Pressure Drop in Heat Exchanger, measured in Pressure cannot be negative.

Which unit is used to measure Shell Side Pressure Drop in Heat Exchanger?

Shell Side Pressure Drop in Heat Exchanger is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Shell Side Pressure Drop in Heat Exchanger can be measured.

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Shell Side Pressure Drop in Heat Exchanger Formula

​GoPressure Drop of Vapor in Condensers given Vapors on Shell Side Formula

Shell Side Pressure Drop in Heat Exchanger Example

Shell Side Pressure Drop in Heat Exchanger Solution

Shell Side Pressure Drop in Heat Exchanger Formula Elements

Other Formulas to find Shell Side Pressure Drop

Other formulas in Basic Formulas of Heat Exchanger Designs category

How to Evaluate Shell Side Pressure Drop in Heat Exchanger?

FAQs on Shell Side Pressure Drop in Heat Exchanger

Variable Name

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