Hi everyone!
I've been wanting to do this post for a while now, and I finally got around to getting it written up. I would love and appreciate ANY changes or feedback or additions to better-improve this post for future viewers, especially by those with hands-on experience in thermodynamics or even building and testing intakes / exhaust and other components!
This is going to be a LONG discussion about the physics of heat transfer, & my experience designing 2 versions of a custom intake for my 2007 SLK55.
When I was looking at the intake of my R171 SLK55 AMG with the lovely M113 engine, it seemed that the stock design was pretty good right out of the factory, however I am always one to tinker for a better solution. I wanted to experiment with ways to improve our intake’s flow characteristics and reduce intake air temperatures, as we will see cramming a large V8 in such a small space makes this experiment much more important.
In this experiment, my aim was to reduce intake air temperatures mainly, but due to the better-flowing design of my 2 intake designs, the overall air flow was greatly improved as well.
NOTE: All of these observations during stock, design #1, and design #2, are after installing my TrackSpec Hood Louvers (picture in next post, didn't have room here), which allow the hot high pressure air under the hood to naturally escape over the top, thereby allowing the radiator to channel more colder ambient air through its coils.
Heat is thermal energy that is always transferred from matter that is hotter to matter that is cooler in temperature. This heat transfer can be categorized by three different methods, of which all three methods are occurring underneath our hoods:
(credit: Mrs. Yunker, Quizizz, Quizizz — The world’s most engaging learning platform)
In the simplest of terms, conduction is the transfer of heat between a solid to another solid by direct contact, such as two objects directly touching each other and having the hotter object transfer part of its heat to the colder object.
Convection is when there is a “fluid” transferring heat to and between another fluid or a solid object, such as our coolant or oil absorbing the heat from the metal pipes and engine components it circulates through, or when you “feel” the hot air from a hair dryer blowing against your face or hands (air is considered a “fluid” in terms of its flow characteristics).
Radiation deals with the properties of “thermal radiation”, which is the “invisible” light waves that comprise heat energy (such as the heat we feel from popping our hoods after a long drive, the warmth of the sun, or standing close to a hot object and feeling its heat without actually touching the object.)
(credit: The Efficient Engineer,
)
It is important to note, that Radiation is also divided into 3 separate subcategories of interaction, whereby the thermal radiation “interacts” with other objects. This interaction is called “irradiation,” or the radiation “received” by an object.
In a nutshell, there are actually 3 main process and 3 sub-processes of heat transfer going on under our hoods at the same time!
(credit: Cradle CFD Software, Cradle CFD | Smart Multiphysics Focused CFD simulation | Hexagon)
(credit: Free Pik, Free Vector | Diagram showing the convection process">Image by brgfx</a> on Freepik)
The most important characteristic of conduction (Cd) and convection (Cv) we want to analyze & understand is called Thermal Conductivity (k), in the unit of W/(m*K) (which is Watts over meters times Kelvin).
Thermal conductivity is a constant that represents a unique value for different types of materials, and it represents how much heat energy an object can “interact with” through conduction & convection, before its temperature begins to rise, and thereby itself “conducts” heat to either the length of itself (such as a metal rod or pipe) or to other objects.
Ok so what does this physics mumbo jumbo mean?
Radiation
(credit: The Efficient Engineer)
The total amount of Radiation that reaches a surface, known as “Irradiation” (Ir) can be divided into 3 properties:
1. Reflection
(credit: The Efficient Engineer)
2. Transmission
(credit: The Efficient Engineer)
3. Absorption
(credit: The Efficient Engineer)
When thermal radiation reaches the surface of a certain object, these waves are either reflected by the object, transmitted through the object, or absorbed into the object.
The total amount of irradiation that reaches the surface of an object (Ir) is EQUAL to the SUM of the amount of radiation that is reflected (p), transmitted (t), and absorbed (α).
(credit: The Efficient Engineer)
(credit: The Efficient Engineer)
So for instance (in simplest terms), let’s assume a black-colored high-temp silicone tube, commonly used in intakes, receives 100% of ALL thermal radiation aimed at it, giving it an Ir of 1. We know that since the silicone tube is opaque (or not translucent), that most of the thermal radiation will become absorbed right into it.
Thus, this piece of silicone tubing would have a Reflection ratio of 0.01, Transmission ratio of 0.01, and Absorption ratio of 0.98. This would mean the equation would be:
Now we get into the meat and potatoes!
Let’s analyze a few different types of materials that are, or can be, commonly used in intake designs, or interact with intake designs, and let’s see how each material’s properties differ in terms of Thermal Conductivity (k), and how “sensitive” that material is in interacting with engine bay heat through Conduction (Cd), Convection (Cd), and Radiation (Ra).
1. Carbon Fiber (ultra-high modulus of 110msi) (k) = 200
2. Carbon Fiber (coal-pitch) (k) = 1000
3. Carbon Fiber (polymer matrix) (k) = 1-10
3. Epoxy Resin (k) = 0.2
4. Air (k) = 0.024
5. Aluminum (k) = 205
6. Steel (k) = 50.2
7. Silicone Rubber (k) = 0.2
8. Nylon (k) = 0.2
9. Polypropylene (k) = 0.2
10.Polyethylene (k) = 0.5
11. ABS Plastic (k) = 0.14-0.21
12. Rubber (k) = 0.5
13. Fiberglass (k) = 0.048
I've been wanting to do this post for a while now, and I finally got around to getting it written up. I would love and appreciate ANY changes or feedback or additions to better-improve this post for future viewers, especially by those with hands-on experience in thermodynamics or even building and testing intakes / exhaust and other components!
This is going to be a LONG discussion about the physics of heat transfer, & my experience designing 2 versions of a custom intake for my 2007 SLK55.
When I was looking at the intake of my R171 SLK55 AMG with the lovely M113 engine, it seemed that the stock design was pretty good right out of the factory, however I am always one to tinker for a better solution. I wanted to experiment with ways to improve our intake’s flow characteristics and reduce intake air temperatures, as we will see cramming a large V8 in such a small space makes this experiment much more important.
In this experiment, my aim was to reduce intake air temperatures mainly, but due to the better-flowing design of my 2 intake designs, the overall air flow was greatly improved as well.
NOTE: All of these observations during stock, design #1, and design #2, are after installing my TrackSpec Hood Louvers (picture in next post, didn't have room here), which allow the hot high pressure air under the hood to naturally escape over the top, thereby allowing the radiator to channel more colder ambient air through its coils.
Thermodynamics & Heat Transfer
Before I show you the 1st and 2nd prototypes I made, I think it’s very important to have an overall discussion of what “heat” is in terms of thermodynamics, and how a better understanding of this concept will truly help us design a much more efficient intake. (Note, if you want to skip the entire thermodynamics discussion, feel free, but you might learn a thing or two!)Class is now in session!
Heat is thermal energy that is always transferred from matter that is hotter to matter that is cooler in temperature. This heat transfer can be categorized by three different methods, of which all three methods are occurring underneath our hoods:
- Conduction (Cd)
- Convection (Cv)
- Radiation (Ra)
(credit: Mrs. Yunker, Quizizz, Quizizz — The world’s most engaging learning platform)
In the simplest of terms, conduction is the transfer of heat between a solid to another solid by direct contact, such as two objects directly touching each other and having the hotter object transfer part of its heat to the colder object.
Convection is when there is a “fluid” transferring heat to and between another fluid or a solid object, such as our coolant or oil absorbing the heat from the metal pipes and engine components it circulates through, or when you “feel” the hot air from a hair dryer blowing against your face or hands (air is considered a “fluid” in terms of its flow characteristics).
Radiation deals with the properties of “thermal radiation”, which is the “invisible” light waves that comprise heat energy (such as the heat we feel from popping our hoods after a long drive, the warmth of the sun, or standing close to a hot object and feeling its heat without actually touching the object.)
(credit: The Efficient Engineer,
It is important to note, that Radiation is also divided into 3 separate subcategories of interaction, whereby the thermal radiation “interacts” with other objects. This interaction is called “irradiation,” or the radiation “received” by an object.
In a nutshell, there are actually 3 main process and 3 sub-processes of heat transfer going on under our hoods at the same time!
- Conduction
- Convection
- Radiation (waves radiating from a surface) to Irradiation (waves meeting a surface)
- Reflection
- Transmission
- Absorption
Conduction & Convection
(credit: Cradle CFD Software, Cradle CFD | Smart Multiphysics Focused CFD simulation | Hexagon)
(credit: Free Pik, Free Vector | Diagram showing the convection process">Image by brgfx</a> on Freepik)
The most important characteristic of conduction (Cd) and convection (Cv) we want to analyze & understand is called Thermal Conductivity (k), in the unit of W/(m*K) (which is Watts over meters times Kelvin).
Thermal conductivity is a constant that represents a unique value for different types of materials, and it represents how much heat energy an object can “interact with” through conduction & convection, before its temperature begins to rise, and thereby itself “conducts” heat to either the length of itself (such as a metal rod or pipe) or to other objects.
Ok so what does this physics mumbo jumbo mean?
- An object with low thermal conductivity will be able to “interact with” a LOT more heat before it transmits any of that heat to the rest of its structure, or to its “touching” or “neighboring” components. Keep this in mind for the next few discussions.
- Example: if we heat up one end of a steel pipe with a torch, how hot will the other side get over time, and how long will that take?
- Note: the actual value of (k) is not important in this discussion, but rather how it COMPARES across different materials we will be using to construct our intake.
- Also, the LOWER the value of (k), the BETTER it is to be used as intake components because it is LESS thermally conductive!
Radiation
(credit: The Efficient Engineer)
The total amount of Radiation that reaches a surface, known as “Irradiation” (Ir) can be divided into 3 properties:
1. Reflection
(credit: The Efficient Engineer)
2. Transmission
(credit: The Efficient Engineer)
3. Absorption
(credit: The Efficient Engineer)
When thermal radiation reaches the surface of a certain object, these waves are either reflected by the object, transmitted through the object, or absorbed into the object.
The total amount of irradiation that reaches the surface of an object (Ir) is EQUAL to the SUM of the amount of radiation that is reflected (p), transmitted (t), and absorbed (α).
Ir = p + t + α
(credit: The Efficient Engineer)
(credit: The Efficient Engineer)
So for instance (in simplest terms), let’s assume a black-colored high-temp silicone tube, commonly used in intakes, receives 100% of ALL thermal radiation aimed at it, giving it an Ir of 1. We know that since the silicone tube is opaque (or not translucent), that most of the thermal radiation will become absorbed right into it.
Thus, this piece of silicone tubing would have a Reflection ratio of 0.01, Transmission ratio of 0.01, and Absorption ratio of 0.98. This would mean the equation would be:
1(Ir) = 0.01(p or reflection) + 0.01(t or transmission) + 0.98(α or absorption)
- Note that in the real world, all three of these 3 properties do occur at some degree in every material, however for simplicity’s sake, we will assume that any material that is translucent (completely clear like glass) shall have a transmissivity of 1, and any material that is opaque (not clear or translucent) shall have a transmissivity of LOW or ZERO.
- What matters is ONE of the 3 Irradiation properties (absorptivity, reflectivity, transmissivity) is usually dominant, and our focus shall be on ONLY the dominant one that occurs in the materials below.
- (VERY IMPORTANT) As Reflectivity increases, Absorptivity decreases, and the SHINIER and object, the higher reflectivity and the lower absorptivity it will have (this will be critical in our intake design)
Intake Materials & Properties
Now we get into the meat and potatoes!
Let’s analyze a few different types of materials that are, or can be, commonly used in intake designs, or interact with intake designs, and let’s see how each material’s properties differ in terms of Thermal Conductivity (k), and how “sensitive” that material is in interacting with engine bay heat through Conduction (Cd), Convection (Cd), and Radiation (Ra).
- Note the values of Conduction, Convection, and Radiation are RELATIVE values in terms of the materials compared.
1. Carbon Fiber (ultra-high modulus of 110msi) (k) = 200
- (credit: Dragon Plate, DragonPlate | Engineered Carbon Fiber Composite Sheets, Tubes and Structural Components | Made in USA)
- This means:
- (Cd) = high
- (Cv) = high
- (Ra) or (Ir)
- p = low
- α = high
- t = low
2. Carbon Fiber (coal-pitch) (k) = 1000
- (credit: Aerospace Research Central, AIAA Aerospace Research Central)
- This means:
- (Cd) = high
- (Cv) = high
- (Ra) or (Ir)
- p = low
- α = high
- t = low
3. Carbon Fiber (polymer matrix) (k) = 1-10
- (credit: Aerospace Research Central, AIAA Aerospace Research Central)
- This means:
- (Cd) = low
- (Cv) = low
- (Ra) or (Ir)
- p = low
- α = high
- t = low
3. Epoxy Resin (k) = 0.2
- (credit: Scientific Reports, Improving the thermal conductivity of epoxy composites using a combustion-synthesized aggregated β-Si3N4 filler with randomly oriented grains - Scientific Reports.)
- This means:
- (Cd) = low
- (Cv) = low
- (Ra) or (Ir)
- p = low
- α = low
- t = high
4. Air (k) = 0.024
- (credit: Iowa State University, https://www.nde-ed.org/Physics/Materials/Physical_Chemical/ThermalConductivity.xhtml)
- This means:
- (Cd) = low
- (Cv) = low
- (Ra) or (Ir)
- p = low
- α = low
- t = high
5. Aluminum (k) = 205
- (credit: Iowa State University, https://www.nde-ed.org/Physics/Materials/Physical_Chemical/ThermalConductivity.xhtml)
- This means:
- (Cd) = high
- (Cv) = high
- (Ra) or (Ir)
- p = high (polished), medium (dull)
- α = low (polished), medium (dull)
- t = low
6. Steel (k) = 50.2
- (credit: Iowa State University, https://www.nde-ed.org/Physics/Materials/Physical_Chemical/ThermalConductivity.xhtml)
- This means:
- (Cd) = medium
- (Cv) = medium
- (Ra) or (Ir)
- p = high (polished), medium (dull)
- α = low (polished), medium (dull)
- t = low
7. Silicone Rubber (k) = 0.2
- (credit: Shin Etsu, https://www.shinetsusilicone-global.com/catalog/pdf/rubber_e.pdf)
- This means:
- (Cd) = low
- (Cv) = low
- (Ra) or (Ir)
- p = low
- α = high (especially dark or black colors)
- t = low
8. Nylon (k) = 0.2
- (credit: Material Properties, Polyamide - Nylon | Density, Strength, Melting Point, Thermal Conductivity)
- This means:
- (Cd) = low
- (Cv) = low
- (Ra) or (Ir)
- p = low
- α = high (especially dark or black colors)
- t = low
9. Polypropylene (k) = 0.2
- (credit: Material Properties, Polyamide - Nylon | Density, Strength, Melting Point, Thermal Conductivity)
- This means:
- (Cd) = low
- (Cv) = low
- (Ra) or (Ir)
- p = low
- α = high (especially dark or black colors)
- t = low
10.Polyethylene (k) = 0.5
- (credit: Material Properties, Polyamide - Nylon | Density, Strength, Melting Point, Thermal Conductivity)
- This means:
- (Cd) = low
- (Cv) = low
- (Ra) or (Ir)
- p = low
- α = high (especially dark or black colors)
- t = low
11. ABS Plastic (k) = 0.14-0.21
- (credit: C-Therm, The Thermal Conductivity of Unfilled Plastics – C-Therm Technologies Ltd.)
- This means:
- (Cd) = low
- (Cv) = low
- (Ra) or (Ir)
- p = low
- α = high (especially dark or black colors)
- t = low
12. Rubber (k) = 0.5
- (credit: Material Properties, Polyamide - Nylon | Density, Strength, Melting Point, Thermal Conductivity)
- This means:
- (Cd) = low
- (Cv) = low
- (Ra) or (Ir)
- p = low
- α = high (especially dark or black colors)
- t = low
13. Fiberglass (k) = 0.048
- (credit: Material Properties, Polyamide - Nylon | Density, Strength, Melting Point, Thermal Conductivity)
- This means:
- (Cd) = low
- (Cv) = low
- (Ra) or (Ir)
- p = medium
- α = medium (since fiberglass is usually white or clear)
- t = low