Head of Fluid Lost Due to Friction Calculator

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Internal Flow

Basics of HMT

Conduction

Convection

Convective Mass Transfer

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Flow of Liquids inside Packed Beds

Flow inside tubes

✖The Friction factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.ⓘ Friction Factor [f]			+10% -10%
✖Length of Packaged Bed is the measurement or extent of something from end to end.ⓘ Length of Packaged Bed [L]			+10% -10%
✖Superficial Velocity is the volumetric flow rate divided by a cross sectional area.ⓘ Superficial Velocity [U_b]			+10% -10%
✖Void Fraction is the fraction of the channel volume that is occupied by the gas phase.ⓘ Void Fraction [∈]			+10% -10%
✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Diameter(eff) is a chord that runs through the center point of the circle.ⓘ Diameter(eff) [D_eff]			+10% -10%

✖The Head of Fluid is the height of a vertical column of fluid and represents mechanical energy per pound of fluid.ⓘ Head of Fluid Lost Due to Friction [H_f]

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Formula

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Head of Fluid Lost Due to Friction

Formula

`"H"_{"f"} = ("f"*"L"*"U"_{"b"}^2*(1-"∈"))/("g"*"D"_{"eff"}*"∈"^3)`

Example

`"0.007639m"=("1.148"*"1100m"*("0.05m/s")^2*(1-"0.75"))/("9.8m/s²"*"24.99m"*("0.75")^3)`

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Head of Fluid Lost Due to Friction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Head of Fluid = (Friction Factor*Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction))/(Acceleration due to Gravity*Diameter(eff)*Void Fraction^3)
H_f = (f*L*U_b^2*(1-∈))/(g*D_eff*∈^3)
This formula uses 7 Variables

Variables Used

Head of Fluid - (Measured in Meter) - The Head of Fluid is the height of a vertical column of fluid and represents mechanical energy per pound of fluid.
Friction Factor - The Friction factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.
Length of Packaged Bed - (Measured in Meter) - Length of Packaged Bed is the measurement or extent of something from end to end.
Superficial Velocity - (Measured in Meter per Second) - Superficial Velocity is the volumetric flow rate divided by a cross sectional area.
Void Fraction - Void Fraction is the fraction of the channel volume that is occupied by the gas phase.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Diameter(eff) - (Measured in Meter) - Diameter(eff) is a chord that runs through the center point of the circle.

STEP 1: Convert Input(s) to Base Unit

Friction Factor: 1.148 --> No Conversion Required
Length of Packaged Bed: 1100 Meter --> 1100 Meter No Conversion Required
Superficial Velocity: 0.05 Meter per Second --> 0.05 Meter per Second No Conversion Required
Void Fraction: 0.75 --> No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Diameter(eff): 24.99 Meter --> 24.99 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_f = (f*L*U_b^2*(1-∈))/(g*D_eff*∈^3) --> (1.148*1100*0.05^2*(1-0.75))/(9.8*24.99*0.75^3)

Evaluating ... ...

H_f = 0.00763903444975874

STEP 3: Convert Result to Output's Unit

0.00763903444975874 Meter --> No Conversion Required

FINAL ANSWER

0.00763903444975874 ≈ 0.007639 Meter <-- Head of Fluid

(Calculation completed in 00.005 seconds)

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Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has created this Calculator and 500+ more calculators!

Verified by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

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< 12 Flow of Liquids inside Packed Beds Calculators

Effective Particle Diameter by Ergun given Frication Factor

Go Diameter(eff) = (Friction Factor*Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction))/(Acceleration due to Gravity*Head of Fluid*Void Fraction^3)

Head of Fluid Lost Due to Friction

Go Head of Fluid = (Friction Factor*Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction))/(Acceleration due to Gravity*Diameter(eff)*Void Fraction^3)

Friction Factor by Ergun

Go Friction Factor = (Acceleration due to Gravity*Diameter(eff)*Head of Fluid*Void Fraction^3)/(Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction))

Effective Particle Diameter by Ergun given Reynolds Number

Go Diameter(eff) = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Superficial Velocity*Density)

Superficial Velocity by Ergun given Reynolds Number

Go Superficial Velocity = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Diameter(eff)*Density)

Reynolds Number of Packed Beds by Ergun

Go Reynolds Number(pb) = (Diameter(eff)*Superficial Velocity*Density)/(Absolute Viscosity*(1-Void Fraction))

Density of Fluid by Ergun

Go Density = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Diameter(eff)*Superficial Velocity)

Absolute Viscosity of Fluid by Ergun

Go Absolute Viscosity = (Diameter*Superficial Velocity*Density)/(Reynolds Number(pb)*(1-Void Fraction))

Friction Factor by Beek

Go Friction Factor = (1-Void Fraction)/(Void Fraction^3)*(1.75+150*((1-Void Fraction)/Reynolds Number(pb)))

Friction Factor by Ergun for Rep Value between 1 and 2500

Go Friction Factor = 150/Reynolds Number(pb)+1.75

Friction Factor by Kozeny-Carman

Go Friction Factor = 150/Reynolds Number(pb)

Mean Effective Diameter

Go Diameter = 6/Mean Specific Surface

Head of Fluid Lost Due to Friction Formula

Head of Fluid = (Friction Factor*Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction))/(Acceleration due to Gravity*Diameter(eff)*Void Fraction^3)
H_f = (f*L*U_b^2*(1-∈))/(g*D_eff*∈^3)

What is internal flow?

Internal flow is a flow for which the fluid is confined by a surface. Hence the boundary layer is unable to develop without eventually being constrained. The internal flow configuration represents a convenient geometry for heating and cooling fluids used in chemical processing, environmental control, and energy conversion technologies.
An example includes flow in a pipe.

How to Calculate Head of Fluid Lost Due to Friction?

Head of Fluid Lost Due to Friction calculator uses Head of Fluid = (Friction Factor*Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction))/(Acceleration due to Gravity*Diameter(eff)*Void Fraction^3) to calculate the Head of Fluid, The Head of fluid lost due to friction formula is defined as the height of a vertical column of fluid and represents mechanical energy per pound of fluid. Head of Fluid is denoted by H_f symbol.

How to calculate Head of Fluid Lost Due to Friction using this online calculator? To use this online calculator for Head of Fluid Lost Due to Friction, enter Friction Factor (f), Length of Packaged Bed (L), Superficial Velocity (U_b), Void Fraction (∈), Acceleration due to Gravity (g) & Diameter(eff) (D_eff) and hit the calculate button. Here is how the Head of Fluid Lost Due to Friction calculation can be explained with given input values -> 19.08995 = (1.148*1100*0.05^2*(1-0.75))/(9.8*24.99*0.75^3).

FAQ

What is Head of Fluid Lost Due to Friction?

The Head of fluid lost due to friction formula is defined as the height of a vertical column of fluid and represents mechanical energy per pound of fluid and is represented as H_f = (f*L*U_b^2*(1-∈))/(g*D_eff*∈^3) or Head of Fluid = (Friction Factor*Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction))/(Acceleration due to Gravity*Diameter(eff)*Void Fraction^3). The Friction factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number, Length of Packaged Bed is the measurement or extent of something from end to end, Superficial Velocity is the volumetric flow rate divided by a cross sectional area, Void Fraction is the fraction of the channel volume that is occupied by the gas phase, Acceleration due to Gravity is acceleration gained by an object because of gravitational force & Diameter(eff) is a chord that runs through the center point of the circle.

How to calculate Head of Fluid Lost Due to Friction?

The Head of fluid lost due to friction formula is defined as the height of a vertical column of fluid and represents mechanical energy per pound of fluid is calculated using Head of Fluid = (Friction Factor*Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction))/(Acceleration due to Gravity*Diameter(eff)*Void Fraction^3). To calculate Head of Fluid Lost Due to Friction, you need Friction Factor (f), Length of Packaged Bed (L), Superficial Velocity (U_b), Void Fraction (∈), Acceleration due to Gravity (g) & Diameter(eff) (D_eff). With our tool, you need to enter the respective value for Friction Factor, Length of Packaged Bed, Superficial Velocity, Void Fraction, Acceleration due to Gravity & Diameter(eff) 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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