## Rob’s Hypermiling How To Guide 02 – Fuel

2009-11-08 by Rob - Categories: Experiments, HypermilingThis is Chapter 2 in a series of posts on Hypermiling. In Chapter 1 I introduced the concept of energy flow analysis as a systematic way of investigating driving techniques and vehicle modifications for improved mileage. I amÂ considering a vehicle as a closed system with energy input in the form of fuel and several energy outputs as shown in the following energy flow diagram:

In this post I will look at the only energy input: fuel.

## Work, Energy, and Power

Before looking at fuel, it’s worth defining a few terms that I will be using throughout this series of posts. “Work”, “energy”, and “power” are terms used frequently and sometimes interchangeably by the general populace, but in an engineering context, they have specific meanings that must be understood. For a greater understanding than I provide here, follow the links to Wikipedia articles.

Work is a force applied over some distance. The amount of work is equal to the force multiplied by the distance. If force is measured in Newtons (N) and distance is measured in metres, then multiplying force by distance will give work in Joules (J). The Joule is a measure of energy. Work is a specific kind of energy. It can be thought of as energy used to move something.

Energy is a measure of the capacity to do work. It is also measured in Joules. Energy can take many forms (e.g., chemical, light, heat, work). Energy can be converted from one form to another through various means. In an engine, for example, the chemical energy of a fuel is converted to heat through the process of combustion and the heat is used to expand a gas against a piston, converting some of the heat to work.

Power is a “rate” of energy flow. Power is measured in Watts (W). It can be expressed as energy per unit time. 1 Watt is equivalent to 1 Joule per second. Since work is a form of energy equal to force times distance, and power is equal to energy divided by time, it follows that power is equal to force times distance divided by time. In other words, power is equal to force times velocity.

Just as power can be expressed as energy per unit time (e.g., 1W = 1J/s), energy may be expressed as power multiplied by time (e.g., 1Ws = 1J, 1Wh = 3600J or 3.6kJ, 1kWh = 3.6MJ) . You may be more familiar with energy expressed in kWh as this is a common unit of measurement used on utility bills.

I cannot emphasize enough how important it is to understand these terms and the formulas relating them. Without such an understanding, hypermiling is all just trial and error.

## Energy Density of Fuels

A certain volume of fuel contains a certain amount of chemical energy that can be released by combustion. Energy density is a measure of the chemical energy per unit volume or per unit mass of fuel. Energy is specified in kWh (recall 1kWh = 3.6MJ), volume is specified in litres, and mass is specified in kg. Thus energy density of fuels is commonly specified in kWh/litre or kWh/kg.

The table below shows energy densities for some fuels you may be familiar with:

Fuel | Density [kg/litre] |
Energy Density [kWh/litre] |
Energy Density [kWh/kg] |
---|---|---|---|

Diesel | 0.850 | 10.9 | 12.8 |

Gasoline | 0.702 | 9 | 12.8 |

Propane | 0.510 | 6.6 | 12.9 |

Ethanol | 0.789 | 6.1 | 7.7 |

I drive a gasoline vehicle, so for every litre of fuel consumed, 9kWh of energy is input to the vehicle and the law of conservation of energy requires that all energy losses in the vehicle energy flow chart above must total 9kWh. Hopefully it’s clear that the way those 9kWh of energy are divided between the various energy losses will have a significant effect on vehicle mileage. Of specific interest is the fraction of energy “spent” on overcoming rolling resistance and drag since those are the only “necessary losses” to move the vehicle.

*Aside: Whenever I encounter energy specifications like this, I like to do a quick cost comparison. For example, I know from my utility bills that I pay about $0.07 per kWh for electricity. I pay about $1.00 per litre for gasoline. Since gasoline contains 9kWh per litre, I effectively pay $1.00/9 = $0.11 per kWh for gasoline. This is one among many of the reasons why I don’t burn gasoline to heat my home and why I’m considering building an electric vehicle.*

Although it’s conceivable that the energy density of a fuel may be manipulated by additives, this is generally not attempted by hypermilers and would be a poor place to start for the beginner. Also note that energy density is not related to octane level.

Unfortunately it appears that our first stop on the energy flow diagram hasn’t yielded any techniques or modifications a driver can use to improve their mileage. However, the important thing to take away from this post is that the energy density of a fuel is fixed and that for gasoline specifically, it is 9kWh/litre or 12.8kWh/kg. I’ll be coming back to those numbers again in later posts to convert calculated energy losses back to litres of fuel consumed, which is what hypermilers are really interested in.

Stay tuned for Chapter 3 – Engine Losses which I promise will be more exciting since there ARE a lot of driving techniques and vehicle modifications you can use to improve engine efficiency.

I think this article speaks well to what you are discussing here:

http://gas2.org/2007/12/12/how-to-get-76-mpg/

But I wonder how well they do when velocity is small.

Hi Eric,

Yes, drag reduction strategies are much less effective at low speed since fuel consumption per km resulting from drag losses is proportional to the square of velocity.

According to that article… “[To] create smoother air flow, Ernie installed a homemade spoiler, improving fuel economy by 5-8%. Add low-resistance tires, low-friction engine oil, and a lubricious fuel additive (biodiesel), and youâ€™ve got major increases in gas mileage.” Each one of these 4 techniques can be allocated a single bubble in my diagram above (Air Resistance, Rolling Resistance, Engine, and Fuel respectively). There’s a lot more that can be done than this article mentions. When I find time to post more in this series of I hope to tackle each bubble in turn and provide a comprehensive list of techniques that can be employed to reduce fuel consumption, with experimental results (and basic physics) to show how much improvement can be expected from each technique.

Hi Rob,

Your web site is great, really enjoyed all the novel ideas. Played with improving mpg over the years, tried many ideas, I did one simple modification that seems to have worked, but I have tried it with one car. My 1991 Civic with 200k miles, I wrapped an 3/8″ heating hose around my fuel filter, caused the gasoline to warm up, increased my fuel mileage from 34-36 mpg to 40 – 42 mpg. 10% increase for $12 of hose. If you have someone that is willing to try this technique, I would like to know if they have similar results. Also, I live in Wisconsin, this time of year (december – March) all vehicles mileage tend to drop a few mpg, for example, the above civic mpg before modifications dropped about 2 or 3 mpg, its now mid winter and the mph has remained constant at 40+ versus previous year mpg’s of 32-33. The EPA on this sedan is 35mpg when new!