# Cold power

Last week I wrote about heat transfer into fridges in the context of operation in vacation mode.  It is tempting to think that if energy is moving into the fridge as a result of heat transfer from the warm room to the cold food compartment in the fridge, then why can’t we use the energy to power the fridge.  A fridge that operated on this basis would be categorised as a perpetual motion machine of the second type because it would contravene the second law of thermodynamics and so it can’t exist.  One of the great pioneers of thermodynamics, Rudolf Clausius expressed the second law as ‘heat does not pass from a body at a low temperature to one at high temperature without an accompanying change elsewhere’.  In other words, something has to be done, generally in the form of work, to move energy from a cold to hot place, e.g. from the food compartment of the fridge to the warmer room.

In a domestic fridge, the work is supplied in the form of electricity to drive a compressor – that’s the thing making most of the noise coming from your fridge.  It is compressing a refrigerant gas (typically from atmospheric pressure to about 8 times atmospheric pressure) and in the process raising its temperature (perhaps by 80°C) as it pushes the gas into a condenser.  In the condenser, the hot refrigerant transfers heat to the colder room and in the process condenses from a gas to liquid dropping its temperature, perhaps by 30°C.  Then, the liquid refrigerant flows into an expansion valve where its rapid expansion to a gas lowers both its temperature (perhaps to -20°C) and pressure (typically from 8 times atmospheric pressure back to atmospheric) before it is sucked into the heat exchanger inside the food compartment where its very low temperature causes heat transfer from the compartment to the refrigerant, i.e. it removes the unwanted energy.  The compressor sucks the gas out of the heat exchanger and the whole cycle starts again with the unwanted energy being dumped into the room by the condenser, which is the warm panel on the back of your fridge.

If you understood all of that then well done, if not then try again following the steps on the schematic diagram.

The temperatures and pressures are expressed rather vaguely because they depend on the design of the fridge and the settings you select on the control panel.

# Vacation mode

Many people are in vacation mode at the moment.  In some organisations it is impossible to hold meetings because of non-overlapping holidays, unless of course you work in countries where everyone goes on holiday at the same time – try getting in or out of Paris on certain weekends in August!  We have been away already and when we got back home one question that was asked is ‘What was the fridge/freezer doing while it was set on vacation mode?’  Fridge and freezers are one of the largest consumers of power in most households so saving energy while we are away on vacation makes sense and there are a number of strategies adopted by different manufacturers.  The most common one is to raise the temperature of the fridge compartment to around 39°F or 4°C which is just cold enough to prevent bacterial growth. Energy movement due to heat transfer is proportional to the temperature difference. Hence, if the temperature difference between the fridge and its surroundings is reduced then there will be less heat transfer into the fridge and less energy will be expended to remove it and keep the contents cold.  Of course the door being shut thoroughout the vacation helps.

In normal use, when we open the door there is heat transfer into the fridge from the warmer room which raises the energy level inside the fridge.  This energy is stored as internal energy in the air and fridge contents and temperature is a measure of this internal energy level, i.e. the temperature goes up.  The fridge has to perform work to remove the internal energy and reduce the temperature.  The situation is exacerbated by the light inside the fridge which comes on when the door is opened because the light bulb generates heat, this is the basis of Everyday Engineering Example about the extra cost of running of a fridge when the light stays on permanently because the switch is broken.

Back to vacation mode for a moment, most fridge/freezers also de-activate the automatic defrost function in vacation mode as well, to save energy.

Sources:

Alison for asking the question – thank you.

Information on safe food storage – Food Safety and Inspection Service

# Benford’s law

We need to learn to think big.  Humans have had a tendency to underestimate the scale of everything that exists.  We have progressed at an increasing rate from believing the earth was the focus of  existence, to understanding that our planet orbits the sun together with a group of other planets, to appreciating that our sun is a tiny speck in a galaxy that we call the Milky Way that is part of a universe and possibly a multiverse.  We have been able to spot mathematical patterns in nature and to describe them using the equations of physics that in turn allow us to predict the existence of phenomena before we have observed them, such as the Higgs-Boson, and also allow us to harness nature to provide goods and services to society.  The former is the role of physicists and the latter of engineers.  So there is a close link between physicists and engineers and it is not unusual to find engineers working in physics labs and physicists working in engineering organisations.  Frank Benford was a physicist working at General Electric in 1938 when he proposed a law that bears his name, though it has also been credited to Simon Newcomb, an astronomer working 50 years earlier.

Benford’s law predicts the frequency with which the numbers from 1 to 9 will appear as the first digit in a collection of numbers from a real-life source.  The frequency declines logarithmically from 30.1% for 1,  17.6% for 2, 12.5% for 3 etc down to 4.6% for 9.  It is probability distribution so you should not expect see the distribution for every collection of numbers but when it does not appear then you should be suspicious about the provenance of the data, particularly when it does not appear repeatedly.  It is used routinely by accountants and is being used increasingly to identify potential scientific fraud.  Of course some people think big and know about Benford’s law, for instance the fraudster Bernard Madoff filed Benford-compatible monthly returns, which perhaps is one reason why it took so long to catch him.

BTW – Benford’s law does not work for reciprocals or square roots, but is does for powers of 2, factorials and the Fibonacci sequence.

Sources:

Big Bang to Little Swoosh by Max Tegmark, New York Times, April 11th, 2014.

Look out for No.1. by Tim Harford in the Financial Times, September 9th, 2011.

# Goodhart’s law

We used to talk about R&D, i.e. research and development. In broad terms, most research happened in universities and national labs while most development was undertaken by companies. Nowadays we are being pressed to research and innovative. Nearly, every application for research funding from government agencies must include a section on the likely impact of the proposed research. This emphasis on impact is a global trend that was identified by Dr Helen Neville, Vice-President at Procter & Gamble for Global Open Innovation, in a recent talk I heard her give on trends in international research collaboration. The focus of university research used to be blue-sky, i.e. research with no pre-conceived application. We are exploiting the blue-sky research of twenty or thirty years ago now. And by only funding research with identifiable impacts our successors are likely to be short on breakthroughs to exploit in the middle of the century. It is analogous to a forester harvesting trees planted by his parents and not planting any for his children.

Attempting to evaluate the potential impact of a piece of research whose outcome, by definition, is not yet known is problematic and a matter of judgement rather than measurement.  Even for a piece of university research performed twenty years ago it is not possible to make a precise measurement of its impact. There are no international standards against which to make the measurement, as there is for the metre or the kilogram.  Consequently, the impact of research is probably one of those cultural measures that are subject to Goodhart’s law.  In 1975, Charles Goodhart postulated that once a measure is chosen for making policy decisions it begins to lose its value as a measure.  This is because people adjust their behaviour to optimise the value of the measure, e.g. university researchers tend towards research with short-term impact rather than focussing on discovery followed by dissemination and, or development.

Source: Measuring culture.  Robert P Crease in Physics World, April 2013.