Things In General

Guest Post by Willis Eschenbach

My business card gives my job title as “Generalist”. Let me give you an example of why this is an advantage in climate science. I worked for a while in the field of low-tech renewable energy. One of the things I did was to work with inexpensive solar water heating. Using solar energy to heat water can be extremely cost-effective. One of the reasons it can work cheaply is that it doesn’t require pumps. The water can be circulated while it is being heated using the principle of the thermosyphon. Here’s a diagram of how a thermosyphon works:

 

thermosyphonFigure 1. Principle of the thermosyphon. Image Source

The reason the thermosyphon works is because a cold fluid is denser than a warm fluid. As a result, you get a pressure difference in the two legs of the system. This pressure difference works to constantly circulate the water. The water sinks on the cold denser side, and rises on the warm less dense side. Thermosyphon water systems are great in the developing world because they can be built very cheaply, using plastic pipe and 55-gallon drums.

If you’ve worked much with thermosyphon systems, you may have noticed that the system shown in Figure 1 is missing a critical component for successful operation. To work efficiently, the system needs a one-way valve to keep the circulation from running in reverse.

The reason it needs a one-way valve is that at night, the solar collector reverses function, and it becomes a thermal radiator. It radiates away the heat towards outer space. This makes the “Return” leg of the circuit (shown in red) colder and therefore denser than the “Advance” leg of the circuit (shown in blue). And absent a one-way valve, this of course reverses the circulation entirely.

As a result, during the night-time, the circuit as shown takes warm water from the top of the tank and circulates it to the thermal radiator. There it is cooled by radiation to space and returned to the bottom of the tank. It is a reverse thermosyphon system, which will run as long as the water in the tank is warmer than the thermal radiator.

Now, what does a reverse thermosyphon system have to do with the climate?

To elucidate that connection, consider the following situation shown in Figure 2.

 

pacific thermosyphon 1Figure 2. Incoming solar radiation and outgoing thermal radiation, Pacific Ocean. The north and south poles are at the right and left ends of the diagram, and the equator is in the middle.

In Figure 2, the sun is warming the surface layer of the ocean at the Equator. At the poles, on the other hand, very little solar energy is absorbed by the surface. Instead, the poles are areas of net radiation to outer space.

Now, considering what we know about reverse thermosyphon systems, in Figure 2 what would we expect in the way of natural thermal circulation?

Since the water is cooled at the poles it will be denser, while the sun-warmed tropical surface waters will be less dense. As a result, the water will sink at the poles and rise at the equator, as shown schematically in Figure 3.

 

pacific thermosyphon 2Figure 3. Simplified overall circulation pattern, Pacific Ocean. The north and south poles are at the right and left ends of the diagram, and the equator is in the middle.

Of course, nature is never that simple. In addition to the temperature difference, the circulation is also driven by the salinity difference. Salty water is denser than fresh water, and the polar waters are salty. Since the circulation is driven by both temperature and salinity differences, it is called “thermohaline circulation”. (The circulation is also driven in part by the wind, although that is not included in the name.)

This salinity difference only increases the strength of the circulation shown above. People sometimes ask why the oceans stay so cold when they are always being warmed by the sun. It is because there is a constant stream of very, very cold water being added to the bottom of the ocean by the thermohaline circulation.

To further complicate matters, there is a very small addition of geothermal heat moving upwards through the sea floor. Estimates put this warming on the order of a tenth of a watt per square metre (W/m2).

My back of the envelope number for ocean heating is as follows: one watt per square metre (W/m2) applied for one year will raise a cubic metre of sea water by about eight degrees C. Rough, but useful.

Again using approximate numbers, the overturning of the ocean occurs over something on the order of five hundred years. A tenth of a watt over a hundred years will raise the temperature of the bottom hundred metres of water by eight-tenths of a degree. In five hundred years, it would raise the temperature of the bottom hundred metres by no less than four degrees. In this manner, the icy polar water is very gradually warmed as it moves equatorward.

Now, with all of that as prologue, here’s the question of interest. It has been said that the reason that the warming is currently stopped is because the “missing heat” is hiding in the depths of the ocean … but that the surface layers have not warmed significantly. Many skeptics have said that this is simply not physically possible. They argue that because the ocean is heated from above, the heating would perforce be greater nearer to the surface. They claim there is no possible mechanism by which the deeper layers could warm independently of the surface.

So my question is, given the situation and circulation shown in Figure 3, what would be the effect on the average ocean temperature of a slight warming at the poles?

Well, if the water that is descending at the poles is slightly warmer than in the past, then there will be less cold water added to the bottom of the ocean. With less cold water added to the bottom, on average the ocean depths would warm slightly compared to the past … and the interesting point is, the ocean would warm from the bottom up.

So that is how the ocean depths could warm separately from the surface. And that is how an understanding of low-tech renewable energy systems can assist our understanding of the climate … and why my business card says “Generalist”.

Regards to you all,

w.

A Final Disclaimer: No, I do not think that the current plateau in the warming is caused by “missing heat” hiding in the ocean. And in any case I don’t think that we have the data to measure the ocean that accurately.

I’m just pointing out that yes, it is possible for the ocean to warm from the bottom up—you just need to turn down the volume or turn up the temperature of the polar leg of the thermohaline circulation.

The Consistent Request: If you disagree with someone, please quote their exact words so we can all understand your objection.

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Tom Johnson
May 17, 2015 6:14 pm

Interesting model of Earth, Willis. And here I thought I was the one who developed it. However, there is a significant complication. The water at the equator is moving with the earth at just over a thousand miles per hour, while the water at the poles is just about stationary. The acceleration and deceleration going to and fro (coriolis anyone?) can significantly complicate the flow pattern. I can’t say any more about it, since I haven’t figured out how to put it in my model, yet.
The data from the BP Gulf of Mexico oil spill also messed me up. I was blindly assuming that the Gulf, with a relatively small percentage of it’s perimeter open only near the equator, would have a quite warm bottom. Yet it was barely a couple of degrees above freezing. Now, with a surface heated by the sun, and a bottom heated, just a bit, by heat flow up from the earth, where did the cold water come from? Obviously, the poles. The only question for a simple model, which now must include coriolis accelerations and a cold bottom in the Gulf of Mexico, is “how does this work?”

Reply to  Tom Johnson
May 18, 2015 2:23 am

Tom, recall that the efforts to cap the Macondo well blowout were severely hampered by the cold temperatures, and the tendency for methane clathrates to form spontaneously. They plague deep water oil and gas operations, clogging pipelines and just making it very hard to work at times.
Many of the efforts to divert the escaping oils and gas into hoods and pipes was prevented from working due to the very cold water causing clathrates to form.

May 18, 2015 8:02 am

Buck Smith
“I am comparing heat capacity of the ocean to heat capacity of the atmosphere.”
Let’s try this approach.
According to IPCC AR5 between 1750 & 2011 (261 years) the 112.5 (278 to 390.5) ppm increase in CO2 added about 2 W/m^2 of radiative forcing, tilting the atmospheric energy balance, warming the atmosphere, oceans, etc.
A watt is a power unit, 3.412 Btu/h, 3.600 kJ/h. Use English hours w/ Btu and metric hours w/ kJ. ToA spherical surface area is 5.13E14 sq km. 8,760 hours per year. An additional annual heat load of 3.06E19 Btu/y.
This annual heat load absorbed by the 5.14E18 kg (1.13E19 lb) atmosphere, sensible heat capacity of 0.24 Btu/lb – °F, would raise the atmospheric temperature by 11.3 °F. Can’t say that such has actually happened.
This annual heat load absorbed by the 1.4E21 kg oceans (3.09E21 lb), sensible heat capacity of 1.0 Btu/lb – °F, would raise the ocean temperature by 0.010 °F. This would be hard to measure.
i.e. a factor of 1,136.
This annual heat load absorbed by the 1.4E21 kg oceans (3.09E21 lb), latent heat capacity of 970 Btu/lb, would require the evaporation of 10.24 ppm of the ocean’s mass. No change in temperature. A 13% increase in atmospheric water vapor.
More clouds, more albedo, less heat, lower temperatures. The ocean/atmospheric water vapor cycle as an organic thermostat w/ a bazillion years of proven success.

May 18, 2015 2:04 pm

As many have stated , no one way valve is needed in the initial solar water heating diagram . Reverse flow does not occur unless the collector is above the storage tank , necessitating a pump and a non-return valve . Moreover the “advance” cold pipe can be teeed into the cold supply close to the tank and the “hot return” pipe can be teeed into the hot water draw-off pipe close to the tank and the system will still work . This enables a conventional tank to be employed that has no special “solar” connections .I have done this and it works fine .

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