Time of Dialysis using Hollow Fiber Haemodialyser Calculator

✖Volume of blood is the total amount blood circulating within circulatory system.ⓘ Volume of blood [V_b]			+10% -10%
✖Volumetric Rate of blood is defined as amount of blood passes through a specific point in the circulatory system per unit of time.ⓘ Volumetric Rate of Blood [Q_b]			+10% -10%
✖Initial Concentration in blood is defined as the amount of component present in blood in mg.ⓘ Initial Concentration In Blood [C₁]			+10% -10%
✖Final Concentration in blood is defined as the amount of component present in blood after dialysis in mg.ⓘ Final Concentration In Blood [C₂]			+10% -10%
✖No of Transfer Units is defined as the as the number of stages required for haemodialysis.ⓘ No of Transfer Units [N_T]			+10% -10%

✖Time of dialysis is the time required for completion of dialysis process.ⓘ Time of Dialysis using Hollow Fiber Haemodialyser [t]

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Formula

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Time of Dialysis using Hollow Fiber Haemodialyser

Formula

`"t" = ("V"_{"b"}/"Q"_{"b"})*ln("C"_{"1"}/"C"_{"2"})*((1-(e^-"N"_{"T"}))^-1)`

Example

`"2.674514h"=("0.005m³"/"0.000004667m³/s")*ln("200mg"/"20mg")*((1-(e^-"0.296"))^-1)`

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Time of Dialysis using Hollow Fiber Haemodialyser Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time of Dialysis = (Volume of blood/Volumetric Rate of Blood)*ln(Initial Concentration In Blood/Final Concentration In Blood)*((1-(e^-No of Transfer Units))^-1)
t = (V_b/Q_b)*ln(C₁/C₂)*((1-(e^-N_T))^-1)
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Time of Dialysis - (Measured in Second) - Time of dialysis is the time required for completion of dialysis process.
Volume of blood - (Measured in Cubic Meter) - Volume of blood is the total amount blood circulating within circulatory system.
Volumetric Rate of Blood - (Measured in Cubic Meter per Second) - Volumetric Rate of blood is defined as amount of blood passes through a specific point in the circulatory system per unit of time.
Initial Concentration In Blood - (Measured in Milligram) - Initial Concentration in blood is defined as the amount of component present in blood in mg.
Final Concentration In Blood - (Measured in Milligram) - Final Concentration in blood is defined as the amount of component present in blood after dialysis in mg.
No of Transfer Units - No of Transfer Units is defined as the as the number of stages required for haemodialysis.

STEP 1: Convert Input(s) to Base Unit

Volume of blood: 0.005 Cubic Meter --> 0.005 Cubic Meter No Conversion Required
Volumetric Rate of Blood: 4.667E-06 Cubic Meter per Second --> 4.667E-06 Cubic Meter per Second No Conversion Required
Initial Concentration In Blood: 200 Milligram --> 200 Milligram No Conversion Required
Final Concentration In Blood: 20 Milligram --> 20 Milligram No Conversion Required
No of Transfer Units: 0.296 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = (V_b/Q_b)*ln(C₁/C₂)*((1-(e^-N_T))^-1) --> (0.005/4.667E-06)*ln(200/20)*((1-(e^-0.296))^-1)

Evaluating ... ...

t = 9628.25216598987

STEP 3: Convert Result to Output's Unit

9628.25216598987 Second -->2.67451449055274 Hour (Check conversion here)

FINAL ANSWER

2.67451449055274 ≈ 2.674514 Hour <-- Time of Dialysis

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Membrane Separation » Basics of Membrane Separation Processes » Time of Dialysis using Hollow Fiber Haemodialyser

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Shri Guru Gobind Singhji Institute of Engineering and Technology (SGGS), Nanded

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< 16 Basics of Membrane Separation Processes Calculators

Concentration of Mass at Membrane Surface

Go Solute Concentration at Membrane Surface = exp(Water Flux/Mass Transfer Coefficient at Membrane Surface)/((Solute Rejection+(1-Solute Rejection)*exp(Water Flux/Mass Transfer Coefficient at Membrane Surface)))*Bulk Concentration

Partial Molar Volume of Water based on Solution Diffusion Model

Go Partial Molar Volume = (Mass Water Flux*[R]*Temperature*Membrane Layer Thickness)/(Membrane Water Diffusivity*Membrane Water Concentration*(Membrane Pressure Drop-Osmotic Pressure))

Water Permeability based on Initial flux

Go Water Permeability Through Membrane = Volumetric Water Flux Through Membrane/(Applied Pressure Driving Force*(1-(([R]*Temperature*Molecular Weight)/(Initial Volume*Applied Pressure Driving Force))))

Time of Dialysis using Hollow Fiber Haemodialyser

Go Time of Dialysis = (Volume of blood/Volumetric Rate of Blood)*ln(Initial Concentration In Blood/Final Concentration In Blood)*((1-(e^-No of Transfer Units))^-1)

Hagen Poiseuille Based Flux for Membrane Separation

Go Flux through Membrane = (Membrane Porosity*Pore Diameter^2*Applied Pressure Driving Force)/(32*Liquid Viscosity*Tortuosity*Membrane Thickness)

Liquid Viscosity Based On Hagen Poiseuille Equation

Go Liquid Viscosity = (Pore Diameter^2*Membrane Porosity*Applied Pressure Driving Force)/(32*Flux through Membrane*Tortuosity*Membrane Thickness)

Tortuosity Factor of Pores

Go Tortuosity = (Membrane Porosity*Pore Diameter^2*Applied Pressure Driving Force)/(32*Liquid Viscosity*Flux through Membrane*Membrane Thickness)

Pressure Difference across Pore based on Poiseuille's Law

Go Pressure Difference Across Pore = (Liquid Flow through Pore*128*Viscosity of Liquid*Length of Pore)/(pi*(Membrane Pore Diameter)^(4))

Liquid Flow through Pore Based On Poiseuilles Law

Go Liquid Flow through Pore = ((pi*(Membrane Pore Diameter)^4)/(128*Viscosity of Liquid*Length of Pore))*Pressure Difference Across Pore

Liquid Viscosity based on Poiseuille's Law

Go Viscosity of Liquid = (Pressure Difference Across Pore*pi*(Membrane Pore Diameter)^(4))/(Liquid Flow through Pore*128*Length of Pore)

Liquid Viscosity based on Membrane Resistance

Go Liquid Viscosity = Applied Pressure Driving Force/(Membrane Flow Resistance of Unit Area*Flux through Membrane)

Membrane Flux Based on Resistance

Go Flux through Membrane = Applied Pressure Driving Force/(Membrane Flow Resistance of Unit Area*Liquid Viscosity)

Resistance to flow in Membranes

Go Membrane Flow Resistance of Unit Area = Applied Pressure Driving Force/(Liquid Viscosity*Flux through Membrane)

Applied Pressure Driving Force Based on Permeability of Membrane

Go Applied Pressure Driving Force = Flux through Membrane/Water Permeability Through Membrane

Water Permeability through Membrane

Go Water Permeability Through Membrane = Flux through Membrane/Applied Pressure Driving Force

Membrane Flux Based on Water Permeability

Go Flux through Membrane = Water Permeability Through Membrane*Applied Pressure

Time of Dialysis using Hollow Fiber Haemodialyser Formula

What are the types of Dialysis?

Dialysis is a medical procedure that takes over the work of failing kidneys. When your kidneys can't filter waste products and extra fluid from your blood effectively, dialysis steps in to perform this vital function for you. This helps maintain a healthy balance of chemicals in your blood and prevents harmful build-up that could lead to serious complications.

There are two main types of dialysis:

Hemodialysis: This involves filtering blood outside your body using a special machine called a dialyzer. Blood is pumped out of your body through a thin tube (catheter) inserted into a vein, passed through the dialyzer, and then returned to your body through another catheter.
Peritoneal dialysis: This uses a fluid called dialysate that's circulated into and out of your abdomen (peritoneal cavity) through a catheter. The dialysate absorbs waste products and fluids from your blood across the thin lining of your abdomen.

How to Calculate Time of Dialysis using Hollow Fiber Haemodialyser?

Time of Dialysis using Hollow Fiber Haemodialyser calculator uses Time of Dialysis = (Volume of blood/Volumetric Rate of Blood)*ln(Initial Concentration In Blood/Final Concentration In Blood)*((1-(e^-No of Transfer Units))^-1) to calculate the Time of Dialysis, Time of Dialysis using Hollow Fiber Haemodialyser means time required to carry out dialysis process using a haemodialysis membrane. Time of Dialysis is denoted by t symbol.

How to calculate Time of Dialysis using Hollow Fiber Haemodialyser using this online calculator? To use this online calculator for Time of Dialysis using Hollow Fiber Haemodialyser, enter Volume of blood (V_b), Volumetric Rate of Blood (Q_b), Initial Concentration In Blood (C₁), Final Concentration In Blood (C₂) & No of Transfer Units (N_T) and hit the calculate button. Here is how the Time of Dialysis using Hollow Fiber Haemodialyser calculation can be explained with given input values -> 0.000743 = (0.005/4.667E-06)*ln(0.0002/2E-05)*((1-(e^-0.296))^-1).

FAQ

What is Time of Dialysis using Hollow Fiber Haemodialyser?

Time of Dialysis using Hollow Fiber Haemodialyser means time required to carry out dialysis process using a haemodialysis membrane and is represented as t = (V_b/Q_b)*ln(C₁/C₂)*((1-(e^-N_T))^-1) or Time of Dialysis = (Volume of blood/Volumetric Rate of Blood)*ln(Initial Concentration In Blood/Final Concentration In Blood)*((1-(e^-No of Transfer Units))^-1). Volume of blood is the total amount blood circulating within circulatory system, Volumetric Rate of blood is defined as amount of blood passes through a specific point in the circulatory system per unit of time, Initial Concentration in blood is defined as the amount of component present in blood in mg, Final Concentration in blood is defined as the amount of component present in blood after dialysis in mg & No of Transfer Units is defined as the as the number of stages required for haemodialysis.

How to calculate Time of Dialysis using Hollow Fiber Haemodialyser?

Time of Dialysis using Hollow Fiber Haemodialyser means time required to carry out dialysis process using a haemodialysis membrane is calculated using Time of Dialysis = (Volume of blood/Volumetric Rate of Blood)*ln(Initial Concentration In Blood/Final Concentration In Blood)*((1-(e^-No of Transfer Units))^-1). To calculate Time of Dialysis using Hollow Fiber Haemodialyser, you need Volume of blood (V_b), Volumetric Rate of Blood (Q_b), Initial Concentration In Blood (C₁), Final Concentration In Blood (C₂) & No of Transfer Units (N_T). With our tool, you need to enter the respective value for Volume of blood, Volumetric Rate of Blood, Initial Concentration In Blood, Final Concentration In Blood & No of Transfer Units 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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