Head of Fluid Lost Due to Friction Solution

STEP 0: Pre-Calculation Summary
Formula Used
Head of Fluid = (Factor of Friction*Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction))/(Acceleration due to Gravity*Diameter(eff)*Void Fraction^3)
Hf = (ff*Lb*Ub^2*(1-))/(g*Deff*^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.
Factor of Friction - Factor of Friction 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
Factor of Friction: 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
Hf = (ff*Lb*Ub^2*(1-∈))/(g*Deff*∈^3) --> (1.148*1100*0.05^2*(1-0.75))/(9.8*24.99*0.75^3)
Evaluating ... ...
Hf = 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 00.008 seconds)

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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Flow of Liquids inside Packed Beds Calculators

Effective Particle Diameter by Ergun given Reynolds Number
​ LaTeX ​ Go Diameter(eff) = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Superficial Velocity*Density)
Superficial Velocity by Ergun given Reynolds Number
​ LaTeX ​ Go Superficial Velocity = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Diameter(eff)*Density)
Reynolds Number of Packed Beds by Ergun
​ LaTeX ​ Go Reynolds Number(pb) = (Diameter(eff)*Superficial Velocity*Density)/(Absolute Viscosity*(1-Void Fraction))
Density of Fluid by Ergun
​ LaTeX ​ Go Density = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Diameter(eff)*Superficial Velocity)

Head of Fluid Lost Due to Friction Formula

​LaTeX ​Go
Head of Fluid = (Factor of Friction*Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction))/(Acceleration due to Gravity*Diameter(eff)*Void Fraction^3)
Hf = (ff*Lb*Ub^2*(1-))/(g*Deff*^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 = (Factor of Friction*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 Hf 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 Factor of Friction (ff), Length of Packaged Bed (Lb), Superficial Velocity (Ub), Void Fraction (∈), Acceleration due to Gravity (g) & Diameter(eff) (Deff) 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 Hf = (ff*Lb*Ub^2*(1-∈))/(g*Deff*∈^3) or Head of Fluid = (Factor of Friction*Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction))/(Acceleration due to Gravity*Diameter(eff)*Void Fraction^3). Factor of Friction 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 = (Factor of Friction*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 Factor of Friction (ff), Length of Packaged Bed (Lb), Superficial Velocity (Ub), Void Fraction (∈), Acceleration due to Gravity (g) & Diameter(eff) (Deff). With our tool, you need to enter the respective value for Factor of Friction, 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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