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Equation of Continuity & Energies of Fluid (Physics) Video Lecture - Class
FAQs on Equation of Continuity & Energies of Fluid (Physics)
| 1. What is the equation of continuity in fluid mechanics? |  |
Ans. The equation of continuity in fluid mechanics states that the mass flow rate of an incompressible fluid remains constant within a closed system, assuming no sources or sinks of fluid exist. It is expressed as A1v1 = A2v2, where A1 and A2 are the cross-sectional areas of the fluid at two different points, and v1 and v2 are the velocities of the fluid at those points.
| 2. How is the equation of continuity derived? | |
Ans. The equation of continuity can be derived from the principle of conservation of mass, which states that mass can neither be created nor destroyed. By considering a small volume of fluid flowing through a pipe, the mass entering the volume must be equal to the mass leaving the volume. By equating the mass flow rate at two different cross-sectional areas and rearranging the equation, the equation of continuity is obtained.
| 3. What are the applications of the equation of continuity? | |
Ans. The equation of continuity finds various applications in fluid mechanics. It is used to analyze the flow of fluids through pipes, channels, and nozzles. It helps in determining the velocity of fluid at different points in a system. The equation is also used in designing hydraulic systems, calculating flow rates, and understanding the behavior of fluids in different scenarios.
| 4. How does the equation of continuity relate to Bernoulli's principle? | |
Ans. The equation of continuity and Bernoulli's principle are interconnected in fluid mechanics. The equation of continuity deals with the conservation of mass in a fluid flow, while Bernoulli's principle relates to the conservation of energy. Both principles are derived from the same fundamental principles of fluid mechanics and can be used together to analyze and understand fluid flow phenomena.
| 5. Can the equation of continuity be applied to compressible fluids? | |
Ans. No, the equation of continuity is not applicable to compressible fluids. The equation assumes that the fluid is incompressible, which means its density remains constant. In the case of compressible fluids, the density can vary significantly with changes in pressure and temperature. To analyze the flow of compressible fluids, more complex equations, such as the Euler equations or the Navier-Stokes equations, need to be considered.
Text Transcript from Video
hello spirits last 10 / only rain or
number and significance of rid of read
or number discuss piata and today we are
going to discuss about equation of
continuity
this equation of continuity expresses
the law of conservation of mass in fluid
dynamics
this equation
expresses the know of
consideration of mass
include dynamic
let this is a glass tube
area of cross section at this end is a 1
and velocity of fluid is v 1 similarly
area of cross section at the second end
is a 2 and velocity of liquid is v2
according to loop dynamics the volume
enters per unit time from the any n will
be equal to the volume per unit time
passes from the second end it means the
AV is constant
it means a1 v1 is equal to a to e 2 it
shows that
if a deal
cross-section is greater velocity of
lake hood will be less
it means if a 1 a 2 is greater than a 1
then velocity v2 will be less than v1 it
shows that velocity of liquid
is greater in narrative
as compared to the velocity of the
liquid in boarding
now come to the next topic energy of ND
there are three types of energies
three types of
harpaz is our possesses
by the liquid past is kinetic energy
that if kinetic energy is equal to half
MV square
kinetic energy per unit mass km is half
MV square by m km will be half v square
similarly kinetic energy per unit volume
kV is half MV square upon volume here
small V is velocity and capital v is
volume then kV is mass upon volume here
nassif on volume is density that is half
Rho v square now next topic is potential
energy
we know that potential energy is equal
to mgh
the potential energy per unit mass you m
is equal to mg H by M or um is equal to
GA
potential energy per unit volume you v
is equal to mg h upon volume and mass
upon volume is density so u v is equal
to Rho G that pressure energy
we know that work done
w is equal to force into displacement
equipment here length of the tube is
length of the tube you know that force
is equal pressure is equal to force upon
area it implies F is equal to P a and
for the value of F and P a paw paw is
the pressure energy
be a are
pressure energy
per unit mass is equal to P a l upon m
here k L is volume and P V by M and
volume of bone mass is density that is P
similarly
pressure energy per unit volume is P a
and upon V that is p v upon V cross B by
B that is equal to P
number and significance of rid of read
or number discuss piata and today we are
going to discuss about equation of
continuity
this equation of continuity expresses
the law of conservation of mass in fluid
dynamics
this equation
expresses the know of
consideration of mass
include dynamic
let this is a glass tube
area of cross section at this end is a 1
and velocity of fluid is v 1 similarly
area of cross section at the second end
is a 2 and velocity of liquid is v2
according to loop dynamics the volume
enters per unit time from the any n will
be equal to the volume per unit time
passes from the second end it means the
AV is constant
it means a1 v1 is equal to a to e 2 it
shows that
if a deal
cross-section is greater velocity of
lake hood will be less
it means if a 1 a 2 is greater than a 1
then velocity v2 will be less than v1 it
shows that velocity of liquid
is greater in narrative
as compared to the velocity of the
liquid in boarding
now come to the next topic energy of ND
there are three types of energies
three types of
harpaz is our possesses
by the liquid past is kinetic energy
that if kinetic energy is equal to half
MV square
kinetic energy per unit mass km is half
MV square by m km will be half v square
similarly kinetic energy per unit volume
kV is half MV square upon volume here
small V is velocity and capital v is
volume then kV is mass upon volume here
nassif on volume is density that is half
Rho v square now next topic is potential
energy
we know that potential energy is equal
to mgh
the potential energy per unit mass you m
is equal to mg H by M or um is equal to
GA
potential energy per unit volume you v
is equal to mg h upon volume and mass
upon volume is density so u v is equal
to Rho G that pressure energy
we know that work done
w is equal to force into displacement
equipment here length of the tube is
length of the tube you know that force
is equal pressure is equal to force upon
area it implies F is equal to P a and
for the value of F and P a paw paw is
the pressure energy
be a are
pressure energy
per unit mass is equal to P a l upon m
here k L is volume and P V by M and
volume of bone mass is density that is P
similarly
pressure energy per unit volume is P a
and upon V that is p v upon V cross B by
B that is equal to P
About this Video
Apr 19, 2026 Last updated
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