Mass transfer is the movement of mass from one location to another, such as between phases or components. It occurs through various processes like absorption, evaporation, drying, and distillation. Mass transfer involves both diffusive and convective transport mechanisms. Diffusion is the movement of molecules from a region of higher concentration to lower concentration down a concentration gradient via random molecular motion. Convection involves the bulk flow of a fluid carrying dissolved or suspended materials. Fick's first law describes the rate of diffusion, while Fick's second law describes how concentration changes over time at a given point for diffusion.
This presentation related to molecular diffusion of molecules in gases and liquids. Also includes inter-phase mass transfer and various theories related to it like two film theory, penetration theory and surface renewal theory.
Slides for the eLearning course Separation and purification processes in biorefineries (https://open-learn.xamk.fi) in IMPRESS project (https://www.spire2030.eu/impress).
Section: Mass transfer processes
Subject: 2.2 Molecular diffusion
This presentation related to molecular diffusion of molecules in gases and liquids. Also includes inter-phase mass transfer and various theories related to it like two film theory, penetration theory and surface renewal theory.
Slides for the eLearning course Separation and purification processes in biorefineries (https://open-learn.xamk.fi) in IMPRESS project (https://www.spire2030.eu/impress).
Section: Mass transfer processes
Subject: 2.2 Molecular diffusion
Slides for the eLearning course Separation and purification processes in biorefineries (https://open-learn.xamk.fi) in IMPRESS project (https://www.spire2030.eu/impress).
Section: Mass transfer processes
Subject: 2.4 Interphase mass transfer
Filtration is commonly the mechanical or physical operation which is used for the separation of products like solids from fluids by interposing a medium through which only the fluid can pass.
Fluid Flow, Heat and Mass Transfer at Bodies of Different Shapes: Numerical Solutions presents the current theoretical developments of boundary layer theory, a branch of transport phenomena. Also, the book addresses the theoretical developments in the area and presents a number of physical problems that have been solved by analytical or numerical method. It is focused particularly on fluid flow problems governed by nonlinear differential equations. The book is intended for researchers in applied mathematics, physics, mechanics and engineering.
In this topic we have discussed working principle of a Batch Reactor. We've also discussed its kinetics like its Rate equation, Material and Energy balance. Its Design steps also have been discussed.
Difference between batch,mixed flow & plug-flow reactorUsman Shah
This slide completely describes you about the stuff include in it and also everything about chemical engineering. Fluid Mechanics. Thermodynamics. Mass Transfer Chemical Engineering. Energy Engineering, Mass Transfer 2, Heat Transfer,
Slides for the eLearning course Separation and purification processes in biorefineries (https://open-learn.xamk.fi) in IMPRESS project (https://www.spire2030.eu/impress).
Section: Mass transfer processes
Subject: 2.1 Overview
Slides for the eLearning course Separation and purification processes in biorefineries (https://open-learn.xamk.fi) in IMPRESS project (https://www.spire2030.eu/impress).
Section: Mass transfer processes
Subject: 2.4 Interphase mass transfer
Filtration is commonly the mechanical or physical operation which is used for the separation of products like solids from fluids by interposing a medium through which only the fluid can pass.
Fluid Flow, Heat and Mass Transfer at Bodies of Different Shapes: Numerical Solutions presents the current theoretical developments of boundary layer theory, a branch of transport phenomena. Also, the book addresses the theoretical developments in the area and presents a number of physical problems that have been solved by analytical or numerical method. It is focused particularly on fluid flow problems governed by nonlinear differential equations. The book is intended for researchers in applied mathematics, physics, mechanics and engineering.
In this topic we have discussed working principle of a Batch Reactor. We've also discussed its kinetics like its Rate equation, Material and Energy balance. Its Design steps also have been discussed.
Difference between batch,mixed flow & plug-flow reactorUsman Shah
This slide completely describes you about the stuff include in it and also everything about chemical engineering. Fluid Mechanics. Thermodynamics. Mass Transfer Chemical Engineering. Energy Engineering, Mass Transfer 2, Heat Transfer,
Slides for the eLearning course Separation and purification processes in biorefineries (https://open-learn.xamk.fi) in IMPRESS project (https://www.spire2030.eu/impress).
Section: Mass transfer processes
Subject: 2.1 Overview
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Best slides ever of theories of drug dissolution, film teory, dankwerts model, interfacial model of dissolution, noyes whitneys equation, modified noyes whitney equation, sink condition, 1st order & zero order kinetics of drug dissolution, conclution, references
In 1965, Gordon Moore’s forecast that the number of components (transistors) on an integrated circuit would double every year until it reached an astonishing 65,000 by 1975 [1].
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Advancements in technology unveil a myriad of electrical and electronic breakthroughs geared towards efficiently harnessing limited resources to meet human energy demands. The optimization of hybrid solar PV panels and pumped hydro energy supply systems plays a pivotal role in utilizing natural resources effectively. This initiative not only benefits humanity but also fosters environmental sustainability. The study investigated the design optimization of these hybrid systems, focusing on understanding solar radiation patterns, identifying geographical influences on solar radiation, formulating a mathematical model for system optimization, and determining the optimal configuration of PV panels and pumped hydro storage. Through a comparative analysis approach and eight weeks of data collection, the study addressed key research questions related to solar radiation patterns and optimal system design. The findings highlighted regions with heightened solar radiation levels, showcasing substantial potential for power generation and emphasizing the system's efficiency. Optimizing system design significantly boosted power generation, promoted renewable energy utilization, and enhanced energy storage capacity. The study underscored the benefits of optimizing hybrid solar PV panels and pumped hydro energy supply systems for sustainable energy usage. Optimizing the design of solar PV panels and pumped hydro energy supply systems as examined across diverse climatic conditions in a developing country, not only enhances power generation but also improves the integration of renewable energy sources and boosts energy storage capacities, particularly beneficial for less economically prosperous regions. Additionally, the study provides valuable insights for advancing energy research in economically viable areas. Recommendations included conducting site-specific assessments, utilizing advanced modeling tools, implementing regular maintenance protocols, and enhancing communication among system components.
Cosmetic shop management system project report.pdfKamal Acharya
Buying new cosmetic products is difficult. It can even be scary for those who have sensitive skin and are prone to skin trouble. The information needed to alleviate this problem is on the back of each product, but it's thought to interpret those ingredient lists unless you have a background in chemistry.
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Courier management system project report.pdfKamal Acharya
It is now-a-days very important for the people to send or receive articles like imported furniture, electronic items, gifts, business goods and the like. People depend vastly on different transport systems which mostly use the manual way of receiving and delivering the articles. There is no way to track the articles till they are received and there is no way to let the customer know what happened in transit, once he booked some articles. In such a situation, we need a system which completely computerizes the cargo activities including time to time tracking of the articles sent. This need is fulfilled by Courier Management System software which is online software for the cargo management people that enables them to receive the goods from a source and send them to a required destination and track their status from time to time.
Vaccine management system project report documentation..pdfKamal Acharya
The Division of Vaccine and Immunization is facing increasing difficulty monitoring vaccines and other commodities distribution once they have been distributed from the national stores. With the introduction of new vaccines, more challenges have been anticipated with this additions posing serious threat to the already over strained vaccine supply chain system in Kenya.
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Student information management system project report ii.pdfKamal Acharya
Our project explains about the student management. This project mainly explains the various actions related to student details. This project shows some ease in adding, editing and deleting the student details. It also provides a less time consuming process for viewing, adding, editing and deleting the marks of the students.
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2. • Mass transfer is the net movement of mass from one location, usually
meaning stream, phase, fraction or component, to another.
• Mass transfer occurs in many processes, such as absorption,
evaporation, drying, precipitation, membrane filtration, and
distillation.
• Mass transfer is used by different scientific disciplines for different
processes and mechanisms.
• The phrase is commonly used in engineering for physical processes
that involve diffusive and convective transport of chemical species
within physical systems.
3. DIFFUSION
• It is defined as a process of mass transfer of individual
molecules of a substance brought about by random
molecular motion and associated with a driving force
such as a concentration gradient.
3
6. Mass Transfer Mechanisms
1. Convective Mass Transfer 2. Diffusion
http://www.timedomaincvd.com/CVD_Fundamentals/xprt/xprt_conv_diff.html
7. Convective transport
• Convective transport occurs when a constituent of the fluid (mass,
energy, a component in a mixture) is carried along with the fluid.
• Convection is mass transfer due to the bulk motion of a fluid. For
example, the flow of liquid water transports molecules or ions that
are dissolved in the water. Similarly, the flow of air transports
molecules present in air, including both concentrated species (e.g.,
oxygen and nitrogen) and dilute species (e.g., carbon dioxide)
8. Mass Transfer Mechanisms
3. Convective and Diffusion
http://www.timedomaincvd.com/CVD_Fundamentals/xprt/xprt_conv_diff.html
9.
10.
11.
12.
13.
14.
15.
16. A system is said to be steady state , if the condition do
not vary with time
dc/dt or dm/dt
should be constant for diffusion
To described steady state diffusion fick’s I and II laws
should be described
Fick’s first law gives flux in a steady state of flow. Thus it
gives the rate of diffusion across unit cross section in the
steady state of flow.
Second law refers to the change in concentration of diffusant
with time ‘t’ at any distance ‘x’.
STEADY STATE DIFFUSION
16
17.
18. FICK´S I LAW
The amount “M” of material flowing through a unit
cross section “S” of a barrier in unit time “t” is known as the
flux “J”
18
dtS
dM
J
.
dx
dc
DJ
The flux, in turn, is proportional to the concentration
gradient, dc/dx:
19. dx
dc
DA
dt
dn
No. of atoms
crossing area A
per unit time
Cross-sectional area
Concentration gradient
Matter transport is down the concentration gradient
Diffusion coefficient/ diffusivity
A
Flow direction
As a first approximation assumed D ≠ f(t)
19
20. Applications
•Release of drugs from dosage forms diffusion controlled
like sustained and controlled release products.
•Molecular weight of polymers can be estimated from
diffusion process.
•The transport of drugs from gastrointestinal tract, skin
can be predicted from principal of diffusion.
20
21. •Processes such as dialysis, micro filtration, ultra filtration,
hemodialysis, osmosis use the principal of diffusion.
•Diffusion of drugs into tissues and excretion through kidney can be
estimated through diffusion studies.
21
22. FICKS SECOND LAW
An equation for mass transport that emphasizes the
change in concentration with time at a definite location
rather than the mass diffusing across a unit area of barrier in
unit time is known as Fick’s second law
x
J
t
c
2
2
x
c
D
x
J
22
Differentiating the first law expression with respect to
x one obtains
23. Its represents diffusion only in x direction
substituting Dc/dt From the above equation
2
2
x
c
D
t
c
2
2
2
2
2
2
z
c
y
c
x
c
D
t
c
23
Its represents diffusion in three dimensions
24. STEADY STATE
The solution in the receptor compartment is constantly
removed and replaced with fresh solvent to keep the
concentration at low level . This is know as “ SINK
CONDITION ” . The left compartment is source and right
compartment is sink.
The diffusant concentration In the left compartment
falls and rises in the right compartment until equilibrium is
attained , based on the rate of removal of diffusant from the
sink and nature of barrier .
24
25. When the system has been in existence a sufficient time,
the concentration of diffusant in the solution at the left and
right compartments becomes constant , but obviously not
same .
Then within each compartment the rate of change of
concentration dc/dt will be zero and by second law.
Concentration will not be constant but rather is likely to
vary slightly with time, and then dc/dt is not exactly zero.
The conditions are referred to as a “QUASI STATIONARY
STATE” and little error is introduced by assuming steady
state under these conditions.
02
2
dx
cd
D
dt
dc
25
26. Diffusion through membranes
Steady Diffusion Across a Thin Film and Diffusional
Resistance
26
• steady Diffusion across a thin film of thickness “h”,
•the concentration of both sides cd&cr kept constant,
•Diffusion occurs in the direction the higher concentration(Cd) to lower
concentration(Cr) the concentration of both sides cd&cr kept constant,
• after sufficient time steady state is achieved and the concentrations are constant at all
points,
•At steady state (dc/dt=0), ficks second law becomes
27. 02
2
z
e
D
R
cc
J 21
)( 21 cc
h
D
J
The term h/D is called deffusional resistance “R” the flux equation can be
written as
Integrating above equation twice using the conditions that at z=0,c=Cd and at
z=h, C=Cr yields the fallowing equation
after sufficient time steady state is achieved and the concentrations are
constant at all points
at steady state (dc/dt=0), ficks second law becomes
27
Permeability
28. If a diaphragm separates the two compartments of a diffusion
cell, the first law of fick’s may be written as
Where,
S=cross sectional area
H=thickness
c1 ,c2= concentration on the left and right sides of the
membrane
(c1-c2)/h within the diaphragm must be assumed to be
constant for quasi-stationary state to exist.
The concentrations c1,c2 can be replaced by partition
coefficient multiplied by the concentration Cd on the donor
side or Cr on receiver side.
h
cc
D
Sdt
dM
J 21
28
29. If sink condition in the receptor compartment 0rC
h
ccDSK
dt
dM rd )(
rd c
c
c
c
K 21
d
d
PSC
h
DSKc
dt
dM
tPSCM d
sec)/(cm
h
DK
P
P=permeability coefficient
P is obtained from slope of a linear plot permeant (M) vs. t.
29