Average Specific Pressure Drop Given Top Bed Pressure Drop and Bottom Bed Pressure Drop Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Pressure Drop = ((0.5*(Top Bed Pressure Drop)^0.5)+(0.5*(Bottom Bed Pressure Drop)^0.5))^2
ΔP = ((0.5*(ΔPtop)^0.5)+(0.5*(ΔPBottom)^0.5))^2
This formula uses 3 Variables
Variables Used
Average Pressure Drop - (Measured in Pascal) - Average Pressure Drop refers to the average decrease in pressure experienced by a fluid as it flows through the column packing.
Top Bed Pressure Drop - (Measured in Pascal) - Top Bed Pressure Drop refers to the pressure drop experienced by the fluid as it flows through the upper section or bed of packing material near the top of the column.
Bottom Bed Pressure Drop - (Measured in Pascal) - Bottom Bed Pressure Drop refers to the pressure drop experienced by the fluid as it flows through the lower section or bed of packing material near the bottom of the column.
STEP 1: Convert Input(s) to Base Unit
Top Bed Pressure Drop: 0.89713 Pascal --> 0.89713 Pascal No Conversion Required
Bottom Bed Pressure Drop: 0.91874 Pascal --> 0.91874 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ΔP = ((0.5*(ΔPtop)^0.5)+(0.5*(ΔPBottom)^0.5))^2 --> ((0.5*(0.89713)^0.5)+(0.5*(0.91874)^0.5))^2
Evaluating ... ...
ΔP = 0.907902852280476
STEP 3: Convert Result to Output's Unit
0.907902852280476 Pascal --> No Conversion Required
FINAL ANSWER
0.907902852280476 0.907903 Pascal <-- Average Pressure Drop
(Calculation completed in 00.004 seconds)

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Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR
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16 Packed Column Designing Calculators

Effective Interfacial Area of Packing using Onda's Method
​ Go Effective Interfacial Area = Interfacial Area per Volume*(1-exp((-1.45*((Critical Surface Tension/Liquid Surface Tension)^0.75)*(Liquid Mass Flux/(Interfacial Area per Volume*Fluid Viscosity in Packed Column))^0.1)*(((Liquid Mass Flux)^2*Interfacial Area per Volume)/((Liquid Density)^2*[g]))^-0.05)*(Liquid Mass Flux^2/(Liquid Density*Interfacial Area per Volume*Liquid Surface Tension))^0.2)
Liquid Mass Film Coefficient in Packed Columns
​ Go Liquid Phase Mass Transfer Coefficient = 0.0051*((Liquid Mass Flux*Packing Volume/(Effective Interfacial Area*Fluid Viscosity in Packed Column))^(2/3))*((Fluid Viscosity in Packed Column/(Liquid Density*Column Diameter of Packed Column))^(-1/2))*((Interfacial Area per Volume*Packing Size/Packing Volume)^0.4)*((Fluid Viscosity in Packed Column*[g])/Liquid Density)^(1/3)
Log Mean Driving Force Based on Mole Fraction
​ Go Log Mean Driving Force = (Solute Gas Mole Fraction-Solute Gas Mole Fraction at Top)/(ln((Solute Gas Mole Fraction-Gas Concentration at Equilibrium)/(Solute Gas Mole Fraction at Top-Gas Concentration at Equilibrium)))
Pressure Drop Correlation given Vapor Mass Flux and Packing Factor
​ Go Pressure Drop Correlation Factor = (13.1*((Gas Mass Flux)^2)*Packing Factor*((Fluid Viscosity in Packed Column/Liquid Density)^0.1))/((Vapor Density in Packed Column)*(Liquid Density-Vapor Density in Packed Column))
Interfacial Area given Height of Transfer Unit and Mass Transfer Coefficient
​ Go Interfacial Area per Volume = (Molar Gas Flowrate)/(Height of Transfer Unit*Overall Gas Phase Mass Transfer Coefficient*Total Pressure)
Overall Gas Mass Transfer Coefficient given Height of Transfer Unit
​ Go Overall Gas Phase Mass Transfer Coefficient = (Molar Gas Flowrate)/(Height of Transfer Unit*Interfacial Area per Volume*Total Pressure)
Height of Overall Gas Phase Transfer Unit in Packed Column
​ Go Height of Transfer Unit = (Molar Gas Flowrate)/(Overall Gas Phase Mass Transfer Coefficient*Interfacial Area per Volume*Total Pressure)
Gas Molar Flux given Height of Transfer Unit and Interfacial Area
​ Go Molar Gas Flowrate = Height of Transfer Unit*(Overall Gas Phase Mass Transfer Coefficient*Interfacial Area per Volume*Total Pressure)
HETP of Packed Columns using 25 and 50mm Raschig Rings
​ Go Height Equivalent to Theoretical Plate = 18*Diameter of Rings+12*(Average Equilibrium Slope)*((Gas Flow/Liquid Mass Flowrate)-1)
Number of Transfer Units for Dilute System in Packed Column
​ Go Number Of Transfer Units-Nog = (Solute Gas Mole Fraction-Solute Gas Mole Fraction at Top)/(Log Mean Driving Force)
Gas Film Mass Transfer Coefficient given Column Performance and Interfacial Area
​ Go Gas Film Transfer Coefficient = (Column Performance*Molar Gas Flowrate)/(Interfacial Area per Volume)
Performance of Column Given Gas-Film Transfer Coefficient and Vapor Flowrate
​ Go Column Performance = (Gas Film Transfer Coefficient*Interfacial Area per Volume)/Molar Gas Flowrate
Interfacial Area of Packing Given Performance of Column and Gas Flowrate
​ Go Interfacial Area per Volume = (Column Performance*Molar Gas Flowrate)/Gas Film Transfer Coefficient
Gas Flowrate given Column Performance and Interfacial Area
​ Go Molar Gas Flowrate = (Gas Film Transfer Coefficient*Interfacial Area per Volume)/Column Performance
Average Specific Pressure Drop Given Top Bed Pressure Drop and Bottom Bed Pressure Drop
​ Go Average Pressure Drop = ((0.5*(Top Bed Pressure Drop)^0.5)+(0.5*(Bottom Bed Pressure Drop)^0.5))^2
Performance of Column for Known Value of Height of Transfer Unit
​ Go Column Performance = 1/Height of Transfer Unit

Average Specific Pressure Drop Given Top Bed Pressure Drop and Bottom Bed Pressure Drop Formula

Average Pressure Drop = ((0.5*(Top Bed Pressure Drop)^0.5)+(0.5*(Bottom Bed Pressure Drop)^0.5))^2
ΔP = ((0.5*(ΔPtop)^0.5)+(0.5*(ΔPBottom)^0.5))^2

What is Top Bed Pressure Drop?

In a packed column, the "top bed pressure drop" refers to the pressure drop experienced by the fluid as it flows through the upper section or bed of packing material near the top of the column. The top bed pressure drop is a specific component of the overall pressure drop in the column and is typically considered separately due to its location in the column.
The pressure drop in the top bed is influenced by several factors, including the type of packing material, packing geometry, fluid properties, and the flow rates of the gas (vapor) and liquid phases. The packing in the top bed introduces resistance to the flow, leading to a pressure drop as the fluid traverses this section of the column.



What is Bottom Bed Pressure Drop?

In a packed column, the "bottom bed pressure drop" refers to the pressure drop experienced by the fluid as it flows through the lower section or bed of packing material near the bottom of the column. Similar to the top bed pressure drop, the bottom bed pressure drop is a specific component of the overall pressure drop in the column and is considered separately due to its location in the column.
The pressure drop in the bottom bed is influenced by factors such as the type of packing material, packing geometry, fluid properties, and the flow rates of the gas (vapor) and liquid phases. The packing in the bottom bed introduces resistance to the flow, leading to a pressure drop as the fluid moves through this section of the column.




How to Calculate Average Specific Pressure Drop Given Top Bed Pressure Drop and Bottom Bed Pressure Drop?

Average Specific Pressure Drop Given Top Bed Pressure Drop and Bottom Bed Pressure Drop calculator uses Average Pressure Drop = ((0.5*(Top Bed Pressure Drop)^0.5)+(0.5*(Bottom Bed Pressure Drop)^0.5))^2 to calculate the Average Pressure Drop, The Average Specific Pressure Drop Given Top Bed Pressure Drop and Bottom Bed Pressure Drop formula is defined as the average decrease in pressure across the bed of packing material in a column or vessel. Average Pressure Drop is denoted by ΔP symbol.

How to calculate Average Specific Pressure Drop Given Top Bed Pressure Drop and Bottom Bed Pressure Drop using this online calculator? To use this online calculator for Average Specific Pressure Drop Given Top Bed Pressure Drop and Bottom Bed Pressure Drop, enter Top Bed Pressure Drop (ΔPtop) & Bottom Bed Pressure Drop (ΔPBottom) and hit the calculate button. Here is how the Average Specific Pressure Drop Given Top Bed Pressure Drop and Bottom Bed Pressure Drop calculation can be explained with given input values -> 0.907903 = ((0.5*(0.89713)^0.5)+(0.5*(0.91874)^0.5))^2.

FAQ

What is Average Specific Pressure Drop Given Top Bed Pressure Drop and Bottom Bed Pressure Drop?
The Average Specific Pressure Drop Given Top Bed Pressure Drop and Bottom Bed Pressure Drop formula is defined as the average decrease in pressure across the bed of packing material in a column or vessel and is represented as ΔP = ((0.5*(ΔPtop)^0.5)+(0.5*(ΔPBottom)^0.5))^2 or Average Pressure Drop = ((0.5*(Top Bed Pressure Drop)^0.5)+(0.5*(Bottom Bed Pressure Drop)^0.5))^2. Top Bed Pressure Drop refers to the pressure drop experienced by the fluid as it flows through the upper section or bed of packing material near the top of the column & Bottom Bed Pressure Drop refers to the pressure drop experienced by the fluid as it flows through the lower section or bed of packing material near the bottom of the column.
How to calculate Average Specific Pressure Drop Given Top Bed Pressure Drop and Bottom Bed Pressure Drop?
The Average Specific Pressure Drop Given Top Bed Pressure Drop and Bottom Bed Pressure Drop formula is defined as the average decrease in pressure across the bed of packing material in a column or vessel is calculated using Average Pressure Drop = ((0.5*(Top Bed Pressure Drop)^0.5)+(0.5*(Bottom Bed Pressure Drop)^0.5))^2. To calculate Average Specific Pressure Drop Given Top Bed Pressure Drop and Bottom Bed Pressure Drop, you need Top Bed Pressure Drop (ΔPtop) & Bottom Bed Pressure Drop (ΔPBottom). With our tool, you need to enter the respective value for Top Bed Pressure Drop & Bottom Bed Pressure Drop 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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