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International Journal of Trend in Scientific Research and Development (IJTSRD)
Volume 5 Issue 5, July-August 2021 Available Online: www.ijtsrd.com e-ISSN: 2456 – 6470
@ IJTSRD | Unique Paper ID – IJTSRD45117 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 1407
Heat Sink for Underground Pipe Line
Natvarbhai Prabhudas Gajjar
Retired Teacher, Ahmedabad, Gujarat, India
ABSTRACT
There is a need for temperature drop in a buried pipeline based on the
media and process. Need of some methodology and design
requirement for a set of conditions by reducing pipeline surface
temperature and the temperature drops to atmospheric temperature at
a particular distance of pipeline. Based on the conduction principle,
desire reduction up to atmospheric temperature can be possible. Let
us understand by below methods and design of Heat sink for buried
pipe line.
How to cite this paper: Natvarbhai
Prabhudas Gajjar "Heat Sink for
Underground Pipe
Line" Published in
International Journal
of Trend in Scientific
Research and
Development (ijtsrd),
ISSN: 2456-6470,
Volume-5 | Issue-5,
August 2021, pp.1407-1410, URL:
www.ijtsrd.com/papers/ijtsrd45117.pdf
Copyright © 2021 by author (s) and
International Journal of Trend in
Scientific Research and Development
Journal. This is an
Open Access article
distributed under the
terms of the Creative Commons
Attribution License (CC BY 4.0)
(http://creativecommons.org/licenses/by/4.0)
Basic principles of heat transfer:
Conduction:
Q=k*A*(T1 - T2) / L
where k is the thermal conductivity of the material, A
is the cross sectional area, T1 is the initial (pre-diffuse
or inner surface) temperature, and T2 is the
temperature at the final cross-sectional area (or outer
surface). You can look of the k value for your
material very easily.
Convection:
Q=h*A*(T.s - T.f)
where h is the convective heat transfer coefficient, A
is the surface area, T.s is the surface temperature of
the object cooling, and T.f is the temperature of the
fluid or air which is cooling (or heating the object).
If you want just a basic value for h… use 20 in
moderate air with low speed winds, and use 50 in
moderate water (moving with low speed currents).
Thermal radiation:
Q=s*e*A*(T.s^4 - T.surr^4)
where s is the Stefan-Boltzmann constant
(s=5.67*10^-8 J/kg*k), e is the emissivity of the
material (most materials, besides metals, on the
surface of the earth which make solid objects will
have an emissivity of about 0.9), A is the surface area
of the radiating object, and T.s is the surface
temperature in Kelvin (very important) raised to the
fourth power, and T.surr is the surface temperature
(or temperature of empty space) surrounding the
object, again raised to the fourth power.
If you want to calculate the total heat dissipation
of the object, then you can add all three of these
together.
Traditional Uenvironment (For Buried pipes)
Where:
Uenvironment = heat transfer coefficient to the
environment, W/m2
-K
IJTSRD45117
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD45117 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 1408
λ= thermal conductivity of material, W/m-K
z = burial depth of the pipe up to the pipe axis,m
PROPOSED THERMALLY CONDUCTIVE
MATERIALS ENVIORNMENT OTHER
THEN SOIL FOR BURIED PIPELINE
1. DIAMOND – 2000 – 2200 W/m•K
Diamond is the leading thermally conductive material
and has conductivity values measured 5x’s higher
than copper, the most manufactured metal in the
United States. Diamond atoms are composed of a
simple carbon backbone that is an ideal molecular
structure for effective heat transfer. Often, materials
with the simplest chemical compositions and
molecular structures have the highest thermal
conductivity values.
Diamond is an important component of many modern
hand held electronic devices. Their role in electronics
is to facilitate heat dispersion and protect sensitive
computer parts. The high thermal conductivity of
diamonds also proves useful when determining the
authenticity of stones in jewelry. Incorporating small
amounts of diamond into tools and technologies can
have a drastic impact on the thermal conductivity
properties.
2. SILVER – 429 W/M•K
Silver is a relatively inexpensive and abundant
thermal conductor. Silver is a component of
numerous appliances and is one of the most versatile
metals due to its malleability. 35% of silver
manufactured in the U.S is used for electrical tools
and electronics (US Geological survey mineral
community 2013). A bi product of silver, silver paste,
is increasing in demand due to its use for
environmentally friendly energy alternatives. Silver
paste is used in the production of photovoltaic cells
that are a major component of solar energy panels.
3. COPPER – 398 W/M•K
Copper is the most commonly used metal for
manufacturing conductive appliances in the United
States. Copper has a high melting point and a
moderate corrosion rate. It is also a very effective
metal for minimalizing energy loss during heat
transfer. Metal pans, hot water pipes and car radiators
are all appliances that utilize the conductive
properties of copper.
4. GOLD – 315 W/M•K
Gold is a rare and expensive metal that is used for
specific conductive applications. Unlike silver and
copper, gold rarely tarnishes and can withstand
conditions that experience large amounts of
corrosion.
5. SILICON CARBIDE – 270 W/M•K
Silicon carbide is a semiconductor that is composed
of a balanced mixture of silicon and carbon atoms.
When manufactured and fused together, silicon and
carbon bind to form an extremely hard and durable
material. This mixture is often used as a component
for car brakes, turbine machines and in steel mixtures.
6. BERYLLIUM OXIDE– 255 W/M•K
Beryllium oxide is used in many high-
performance parts for applications such as
electronics, as it has a high thermal conductivity and
is a good electrical insulator.
7. ALUMINUM – 247 W/M•K
Aluminum is generally used as a cost-effective
replacement for copper. Although not as conductive
as copper, aluminum is abundant and easy to
manipulate due to its low melting point. Aluminum is
a crucial component of L.E.D lights (light emitting
diodes). Copper aluminum mixes are gaining
popularity as they can harness the properties of both
copper and aluminum and can be manufactured at a
lower cost.
8. TUNGSTEN – 173 W/M•K
Tungsten has a high melting point and a low vapor
pressure making it an ideal material for appliances
that are exposed to high levels of electricity.
Tungsten’s chemical inertness enables it to be used in
electrodes that are a part of electron microscopes
without altering the electrical currents. It is also often
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD45117 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 1409
used in lightbulbs and as a component of cathode ray
tubes.
9. GRAPHITE 168 W/M•K
Graphite is an abundant, low cost and lightweight
alternative compared to other carbon allotropes. It is
frequently used as an addition to polymer mixtures to
enhance their thermal conductivity properties.
Batteries are a familiar example of an appliance that
harnesses graphite’s high thermal conductivity.
10. ZINC 116 W/M•K
Zinc is one of few metals that can easily be combined
with other metals to create metal alloys (a mixture of
two or more metals). 20% of zinc appliances in the
U.S are composed of zinc alloys. Galvanizing uses
40% of manufactured pure zinc. Galvanizing is the
process of a applying a zinc coating to steel or iron
that is designed to protect to metal against weathering
and rust.
Design example of heat sink of buried pipe line:
Figure (1)
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD45117 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 1410
Figure (2)
Conclusion: By applying design(figure 1 and 2),
calculation(as described above) and materials for
buried environment (as per mentioned material list
other than soil ingredients) and by using convection
methodology of heat transfer, designed heat sink of
buried pipeline, can reduced temperature up to
atmospheric temperature for particular buried pipe
line.

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Heat Sink for Underground Pipe Line

  • 1. International Journal of Trend in Scientific Research and Development (IJTSRD) Volume 5 Issue 5, July-August 2021 Available Online: www.ijtsrd.com e-ISSN: 2456 – 6470 @ IJTSRD | Unique Paper ID – IJTSRD45117 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 1407 Heat Sink for Underground Pipe Line Natvarbhai Prabhudas Gajjar Retired Teacher, Ahmedabad, Gujarat, India ABSTRACT There is a need for temperature drop in a buried pipeline based on the media and process. Need of some methodology and design requirement for a set of conditions by reducing pipeline surface temperature and the temperature drops to atmospheric temperature at a particular distance of pipeline. Based on the conduction principle, desire reduction up to atmospheric temperature can be possible. Let us understand by below methods and design of Heat sink for buried pipe line. How to cite this paper: Natvarbhai Prabhudas Gajjar "Heat Sink for Underground Pipe Line" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-5, August 2021, pp.1407-1410, URL: www.ijtsrd.com/papers/ijtsrd45117.pdf Copyright © 2021 by author (s) and International Journal of Trend in Scientific Research and Development Journal. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0) (http://creativecommons.org/licenses/by/4.0) Basic principles of heat transfer: Conduction: Q=k*A*(T1 - T2) / L where k is the thermal conductivity of the material, A is the cross sectional area, T1 is the initial (pre-diffuse or inner surface) temperature, and T2 is the temperature at the final cross-sectional area (or outer surface). You can look of the k value for your material very easily. Convection: Q=h*A*(T.s - T.f) where h is the convective heat transfer coefficient, A is the surface area, T.s is the surface temperature of the object cooling, and T.f is the temperature of the fluid or air which is cooling (or heating the object). If you want just a basic value for h… use 20 in moderate air with low speed winds, and use 50 in moderate water (moving with low speed currents). Thermal radiation: Q=s*e*A*(T.s^4 - T.surr^4) where s is the Stefan-Boltzmann constant (s=5.67*10^-8 J/kg*k), e is the emissivity of the material (most materials, besides metals, on the surface of the earth which make solid objects will have an emissivity of about 0.9), A is the surface area of the radiating object, and T.s is the surface temperature in Kelvin (very important) raised to the fourth power, and T.surr is the surface temperature (or temperature of empty space) surrounding the object, again raised to the fourth power. If you want to calculate the total heat dissipation of the object, then you can add all three of these together. Traditional Uenvironment (For Buried pipes) Where: Uenvironment = heat transfer coefficient to the environment, W/m2 -K IJTSRD45117
  • 2. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD45117 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 1408 λ= thermal conductivity of material, W/m-K z = burial depth of the pipe up to the pipe axis,m PROPOSED THERMALLY CONDUCTIVE MATERIALS ENVIORNMENT OTHER THEN SOIL FOR BURIED PIPELINE 1. DIAMOND – 2000 – 2200 W/m•K Diamond is the leading thermally conductive material and has conductivity values measured 5x’s higher than copper, the most manufactured metal in the United States. Diamond atoms are composed of a simple carbon backbone that is an ideal molecular structure for effective heat transfer. Often, materials with the simplest chemical compositions and molecular structures have the highest thermal conductivity values. Diamond is an important component of many modern hand held electronic devices. Their role in electronics is to facilitate heat dispersion and protect sensitive computer parts. The high thermal conductivity of diamonds also proves useful when determining the authenticity of stones in jewelry. Incorporating small amounts of diamond into tools and technologies can have a drastic impact on the thermal conductivity properties. 2. SILVER – 429 W/M•K Silver is a relatively inexpensive and abundant thermal conductor. Silver is a component of numerous appliances and is one of the most versatile metals due to its malleability. 35% of silver manufactured in the U.S is used for electrical tools and electronics (US Geological survey mineral community 2013). A bi product of silver, silver paste, is increasing in demand due to its use for environmentally friendly energy alternatives. Silver paste is used in the production of photovoltaic cells that are a major component of solar energy panels. 3. COPPER – 398 W/M•K Copper is the most commonly used metal for manufacturing conductive appliances in the United States. Copper has a high melting point and a moderate corrosion rate. It is also a very effective metal for minimalizing energy loss during heat transfer. Metal pans, hot water pipes and car radiators are all appliances that utilize the conductive properties of copper. 4. GOLD – 315 W/M•K Gold is a rare and expensive metal that is used for specific conductive applications. Unlike silver and copper, gold rarely tarnishes and can withstand conditions that experience large amounts of corrosion. 5. SILICON CARBIDE – 270 W/M•K Silicon carbide is a semiconductor that is composed of a balanced mixture of silicon and carbon atoms. When manufactured and fused together, silicon and carbon bind to form an extremely hard and durable material. This mixture is often used as a component for car brakes, turbine machines and in steel mixtures. 6. BERYLLIUM OXIDE– 255 W/M•K Beryllium oxide is used in many high- performance parts for applications such as electronics, as it has a high thermal conductivity and is a good electrical insulator. 7. ALUMINUM – 247 W/M•K Aluminum is generally used as a cost-effective replacement for copper. Although not as conductive as copper, aluminum is abundant and easy to manipulate due to its low melting point. Aluminum is a crucial component of L.E.D lights (light emitting diodes). Copper aluminum mixes are gaining popularity as they can harness the properties of both copper and aluminum and can be manufactured at a lower cost. 8. TUNGSTEN – 173 W/M•K Tungsten has a high melting point and a low vapor pressure making it an ideal material for appliances that are exposed to high levels of electricity. Tungsten’s chemical inertness enables it to be used in electrodes that are a part of electron microscopes without altering the electrical currents. It is also often
  • 3. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD45117 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 1409 used in lightbulbs and as a component of cathode ray tubes. 9. GRAPHITE 168 W/M•K Graphite is an abundant, low cost and lightweight alternative compared to other carbon allotropes. It is frequently used as an addition to polymer mixtures to enhance their thermal conductivity properties. Batteries are a familiar example of an appliance that harnesses graphite’s high thermal conductivity. 10. ZINC 116 W/M•K Zinc is one of few metals that can easily be combined with other metals to create metal alloys (a mixture of two or more metals). 20% of zinc appliances in the U.S are composed of zinc alloys. Galvanizing uses 40% of manufactured pure zinc. Galvanizing is the process of a applying a zinc coating to steel or iron that is designed to protect to metal against weathering and rust. Design example of heat sink of buried pipe line: Figure (1)
  • 4. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD45117 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 1410 Figure (2) Conclusion: By applying design(figure 1 and 2), calculation(as described above) and materials for buried environment (as per mentioned material list other than soil ingredients) and by using convection methodology of heat transfer, designed heat sink of buried pipeline, can reduced temperature up to atmospheric temperature for particular buried pipe line.