Mechanical Engineering Exam > Mechanical Engineering Videos > Topper Handwritten Notes & Videos for GATE ME > Fourier Law of Heat Conduction HMT Tutorial- 9, Heat and Mass Transfer, Mechanical Engineering
Fourier Law of Heat Conduction HMT Tutorial- 9, Heat and Mass Transfer, Mechanical Engineering Video Lecture | Topper Handwritten Notes & Videos for GATE ME
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FAQs on Fourier Law of Heat Conduction HMT Tutorial- 9, Heat and Mass Transfer, Mechanical Engineering Video Lecture - Topper Handwritten Notes & Videos for GATE ME
| 1. What is Fourier's Law of Heat Conduction? |  |
Ans. Fourier's Law of Heat Conduction states that the rate of heat transfer through a material is directly proportional to the temperature gradient across the material and the cross-sectional area, and inversely proportional to the material's thickness. Mathematically, it can be expressed as q = -kA(dT/dx), where q is the heat transfer rate, k is the thermal conductivity of the material, A is the cross-sectional area, and dT/dx is the temperature gradient.
| 2. How is heat transfer rate calculated using Fourier's Law of Heat Conduction? | |
Ans. The heat transfer rate through a material can be calculated using Fourier's Law of Heat Conduction by multiplying the thermal conductivity of the material (k) by the cross-sectional area (A) and the temperature gradient across the material (dT/dx). Mathematically, it can be represented as q = -kA(dT/dx).
| 3. What factors affect the heat transfer rate according to Fourier's Law of Heat Conduction? | |
Ans. According to Fourier's Law of Heat Conduction, the heat transfer rate is influenced by several factors. These include the thermal conductivity of the material (k), which represents its ability to conduct heat, the cross-sectional area (A) through which heat flows, and the temperature gradient (dT/dx) across the material. A higher thermal conductivity, larger cross-sectional area, and steeper temperature gradient will result in a higher heat transfer rate.
| 4. How is the heat transfer direction determined in Fourier's Law of Heat Conduction? | |
Ans. The heat transfer direction in Fourier's Law of Heat Conduction is determined by the negative sign (-) in the equation q = -kA(dT/dx). The negative sign indicates that heat transfer occurs from regions of higher temperature to regions of lower temperature. This means that heat flows in the direction of decreasing temperature gradient.
| 5. What are the applications of Fourier's Law of Heat Conduction? | |
Ans. Fourier's Law of Heat Conduction has numerous applications in various fields. It is used to analyze and design heat exchangers, determine the thermal performance of materials and structures, calculate heat transfer rates in industrial processes, and understand the behavior of temperature distribution in different systems. It is a fundamental principle in the study of heat and mass transfer, and its applications can be found in areas such as mechanical engineering, chemical engineering, and thermal management of electronic devices.
Text Transcript from Video
all right my dear so welcome to the
water land in this start well I'm going
to share with you one of the law of heat
as per law of heat transfer let me show
ya
just a second law of heat transfer in
case of conduction only conduction only
and that name of that law is four years
four years
law of conduction probably you know
about that probably we have heard about
this law that's why you have landed on
this page so let's go for it basically
suppose that we have evolved and there
is transferring of heat from T 1
temperature to T two temperature through
this wall and but let me share with you
thickness is DX and temperature a
difference in temperature is DD right so
here suppose that we are theta j-- in
Joule per second and it is transferring
from here to here that's it is happening
that's because of temperature difference
because t1 is greater than t2 so
according to this law there are two
things this law cover right Q is
directly proportional to minus DT upon
DX as well as Q is tightly proportional
to a area of this wall okay because this
wall must have length as or bus
thickness let us say length is l and
thickness is B okay so L into V is equal
to area right so now what is this DT
upon DX this is known as M pitcher
gradient this DT upon DX is known as
temperature gradient right et upon DX
now another more thing one of the most
important thing I need to discuss here
that is minus sign
why this minus sign okay so this is
important just listen to me carefully
that's because of equilibrium I mean
think about it
what is there is a defense between t1
and t2 if t2 minus t1 in it would be n
minus 1 right would mean minus the
resultant of final minus initial would
be minus because it is following from
higher temperature to lower temperature
because template heat flow temperature
is flowing from higher to lower that's
why we have putted that minus sign then
what will happen after calculation key
would be in positive minus and minus
because he will get minus and here minus
minus plus so that is why we have put a
2 that minus sign there now what is the
formula for these Q is equal to minus ka
DT upon DX here what is key K means you
know that proportionality constant so
here in this video I mean in this law
what we have to remember this formula
these two things and one of the most
important concept that is - why we are
putting that minus sign I hope you
understand the real concept of this law
for years law of conduction thanks for
watching see you soon in my next video
bye bye
water land in this start well I'm going
to share with you one of the law of heat
as per law of heat transfer let me show
ya
just a second law of heat transfer in
case of conduction only conduction only
and that name of that law is four years
four years
law of conduction probably you know
about that probably we have heard about
this law that's why you have landed on
this page so let's go for it basically
suppose that we have evolved and there
is transferring of heat from T 1
temperature to T two temperature through
this wall and but let me share with you
thickness is DX and temperature a
difference in temperature is DD right so
here suppose that we are theta j-- in
Joule per second and it is transferring
from here to here that's it is happening
that's because of temperature difference
because t1 is greater than t2 so
according to this law there are two
things this law cover right Q is
directly proportional to minus DT upon
DX as well as Q is tightly proportional
to a area of this wall okay because this
wall must have length as or bus
thickness let us say length is l and
thickness is B okay so L into V is equal
to area right so now what is this DT
upon DX this is known as M pitcher
gradient this DT upon DX is known as
temperature gradient right et upon DX
now another more thing one of the most
important thing I need to discuss here
that is minus sign
why this minus sign okay so this is
important just listen to me carefully
that's because of equilibrium I mean
think about it
what is there is a defense between t1
and t2 if t2 minus t1 in it would be n
minus 1 right would mean minus the
resultant of final minus initial would
be minus because it is following from
higher temperature to lower temperature
because template heat flow temperature
is flowing from higher to lower that's
why we have putted that minus sign then
what will happen after calculation key
would be in positive minus and minus
because he will get minus and here minus
minus plus so that is why we have put a
2 that minus sign there now what is the
formula for these Q is equal to minus ka
DT upon DX here what is key K means you
know that proportionality constant so
here in this video I mean in this law
what we have to remember this formula
these two things and one of the most
important concept that is - why we are
putting that minus sign I hope you
understand the real concept of this law
for years law of conduction thanks for
watching see you soon in my next video
bye bye
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Dec 25, 2024 Last updated |
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