In the urban core of Canadian cities,
most of the good
locations for solar thermal collectors are on rooftops.
Retro-fitting
solar thermal and space heating means that collectors must often be on
the roofs of tall
houses or small apartment buildings, and that the large water tanks
required for heat storage must be in the basements.
Drainback syatems are the simplest four season solar water heater
systems. Although they use plain water in their collector loops they
provide reliable freeze protection if the water in the collector drains
away into a drainback tank quickly enough when the circulating pump
stops.
The conceptual drainback scheme presented here is unconventional.
It is intended for tall houses having solar
collectors on their roofs and a heat store in the basement. The
heat storage meduim is water. The design makes it possible to
avoid boiling in the collectors, even in very tall syatems. Its
requirements for pump power and pump head are modest, making it
feasible to power it with an inexpensive PV system. It is
intended to work well and quietly in systems that are taller than usual
for drainback systems..
WARNING. I have not built
a system like the one described here, nor have I tested its principles
experimentally. It is unconventional in the placement of its drainback
tank in the riser rather than in the descender. It has an
unconventional air passage between the descender and the drainback
tank. The passage must pass air in both directions in order to
drain and fill the collector. If the air passage does not move
air into the collector quickly enough to prevent freezing when the pump
stops, the system will be unworkable.
System Diagram
The working fluid circuit is a closed loop
(the collector loop) comprising, proceeding anti clockwise, the collector, the descender,
the heat exchanger, the riser, the header / drainback tank, and the
pump. The
water and air within the collector loop are at atmospheric pressure
approximately near the middle of the system, but will pressurize and
depressurize slightly as the system heats and cools.
Once the pump has filled the collector and the top of the
descender, the work required from it should be no more than that
required to overcome frictional losses around the loop, because there
is no further net lifting. ?????????????????????????????/
Fix this. May always have to lift from top of DBT. MAy not
be able to ever guarantee that the upper part of the descender
will fill completely with water. This would mean that the pump will
always have to lift from the top of the DBT to the top of the collector ------------------------------ Even a pump of modest power should be able
to deliver adequate flow.
The pump head required at startup is no
more than needed to lift water from the drainback tank to the top of
the collector. The position of the air insertion / removal
point in the descender pipe should prevent the pump having to drive a
slug of air around the circuit at startup, which would expose it to the
necessity of providing sufficient initial head to lift water all the
way from the storage tank below.
Details of Operation
State 1. The pump has been turned off for some time. The
collector is cold and filled with air. The drainback tank is almost
full of water. The level of the water in the descender is at the
height of the surface of the water in the header / drainback
tank. The surface of the water level in the descender is
several inches below the lowest part of the air slug diverter.
State 2. The collector has become hot, causing the control system
to turn on the pump. The pump is pushing water up the upper part
of the riser into the collector. The water level has not yet
reached the top of the collector. The level of the water in the
drainback tank is dropping. The level of the water in the descender is
also dropping. The path through the piping anti clockwise from
upper interior of the collector that is not yet full of water,
over the top of the collector, down the upper part of the descender,
through the air slug diverter, into the top of the header / drainback
tank, is free of water. Air is forced anti clockwise around this path
from the collector into the header / drainback tank as the water level
rises in the collector.
State 3. The collector is full to the very top and water has
started to fall over the top and down into the upper part of the
descender. The falling water, pushed over the top and
down by water moving upward in the collector under the impulsion of the
pump, pushes a slug of air down the descender. Some
water may slide down around this air slug, and temporarily allow
the level of the water in the descender to block the air slug
diverter, but whenever the level of water in the lower part of the
descender is high enough to block the air slug diverter, the column of
water in the lower part of the descender must be moving downward, since
it outweighs the column of water in the riser up to the
surface of the water in the header / drainback tank, that surface
being lower than the lowest point of the air slug diverter, and since
the pressure of air in the header / drainback tank cannot build up
because of the emptying action of the pump. No sizable slug of
air can be propelled below the air slug diverter into the lower
part of the descender, because it will clear the air slug
diverter of water and allow rapid bleeding of the air of the air slug
across to the header / drainback tank. Eventually, the descender
will be clear of sizable air bubbles.
State 4. The pump has been running for some time. The collector
is hot and is heating the water passing through it. All of the air in
the system is resident in the upper part of the header / drainback
tank. The pump no longer has to expend energy to lift water, but
merely to overcome forces of friction to keep water moving around the
system. A very small amount of water will be dribbling into the header
/ drainback tank from the constricted air channel across to the
descender. The rate of entry of water from the descender to the
air channel is not sufficient to fill the air channel as it empty into
the drainback tank. The bulk of the water moves anti clockwise in
a closed cycle around the system, being heated in the collector and
being cooled in the heat exchanger while heating the water in the heat
store.
State 5. The collector has become cold enough to cause the control
system to stop the centrifugal pump. The pump has just stopped. A
centrifugal pump is quite open to reverse flow when it is not running,
so the pressure in the drainback tank rises immediately as the
weight of the column of water in the upper riser is no longer supported
by the action of the pump. This rising pressure forces air
through the air channel toward the descender. The
channel has a large diameter (except for its constriction), and is
sloped gently upward toward the descender. The constriction is
sufficiently small so that the flow rate of water entering from the
descender is never enough to fill the channel. Water stops entering the
channel immediately because the pressure at the descender end of the
air channel is lower than the pressure at the tank end. The pressure at
the tank end is the pressure at the surface of the water level in the
tank, which is several inches lower than the descender end, and is
therefore at a higher pressure. Air flows
immediately over the top of the remaining
water in the channel as that remaining water continues to drain toward
the header / drainback tank. Air forces it way through the
constriction into the descender, and rises to the top of the collector,
allowing the water in the collector to fall. The design of the air slug
diverter keeps the constriction free of water on both sides to allow a
free flow of air through the constriction. The collector and upper
portions of the riser and descender empty quickly of water and are
refilled with air.
State 6. Same as state 1.
The Air Slug Diverter
Outstanding issues:
(1) The water left standing in the descender pipe when the pump stops
first cools off, then is later injected into the heat exchanger in the
storage tank when the pump starts up again.
It is desirable
to keep the diameter of the lower part of the descender pipe narrow to
minimize the
amount of cool water injected at pump startup, (this was also the
reason for the unconventional location of the drainback tank in
the riser.) There is no thermal penalty for a larger pipe
diameter in parts of the
collector loop other than the lower part of the descender, the part of
the descender below the
drainback tank and above the storage tank. In particular, the portion
of the descender above the air slug diverter can have a 3/4 inch
diameter or larger to facilitate drainback by allowing air and water to
pass freely in opposite directions during drainback.
In opposition to the need to keep the thermal mass of the water
standing in the lower portion of the descender small by keeping the
diameter of the lower part of the descender small, it is desirable to
keep the diameter of all pipes of the collector loop large enough to
keep the loop friction small so that a modest pump head will drive the
collector loop water all around the circuit -- total length
approximately 400 ft, assuming 300 ft of pipe in the
heat exchanger. Half inch (12.7 mm) diameter pipe for the lower
part of the descender should be narrow
enough to keep the volume of the standing cool water in the
descender "small". (A 1/2 inch descender
would inject about 150 Btu of coolth into the storage tank when the
pump starts after having been off long enough for the descender pipe to
cool to the interior temperature of the house, assuming a 130F tank
temperature and a 70F house temperature. It would be worthwhile to
insulate the descender well to reduce the thermal penalty of short off
times.)
Working on the descender pipe size issue issue:
There might be flow rate problems with a 1/2" descender depending on
the size of the collector. Here's a table of the flow rate
required for different collection powers in gallons per minute.. The
flow rate FR is in gallons per minute, dT is the temperature rise
through the solar collector in Fahrenheit, power P in
Btu/hr, 1 gallon = 0.134 ft^3, 1 gallon water = 0.134 ft^3
* 62.4 lbm/ft^3 = 8.36 lbm water, 1 gallon/minute=1 gpm = 8.36
lbm/min
P <Btu/hr> = FR <gal/min> * 8.36 lbm/gal * 60 min/hr * dT < F> * 1 Btu/lbm.F
FR = P / (8.36 * 60 * dT) = P/(501.6 * dT)
The following table has the form dT = > (P1, FR1), (P2, FR2), (P3, FR3) ...
10 F => ( 1000 Btu/hr, 0.199 gpm), (5000 Btu/hr, 0.999 gpm),(10,000
Btu/hr,1.99 gpm),(20,000 Btu/hr,3.99 gpm),(40,000 Btu/hr,7.98 gpm)
20F => (1000 Btu/hr,0.0997 gpm), (5000 Btu/hr,0.498 gpm),(10,000
Btu/hr,0.997 gpm),(20,000 Btu/hr,1.99 gpm),(40,000 Btu/hr,3.98 gpm)
40F => (1000 Btu/ hr,0.0498 gpm),(5000 Btu/hr,0.249 gpm),(10,000
Btu/hr,0.498 gpm),(20,000 Btu/hr,0.996 gpm),(40,000 Btu/hr,1.99 gpm)
60F => (1000 Btu/hr,0.0332 gpm),(5000 Btu/hr,0.166 gpm),(10,000
Btu/hr,0.332 gpm),(20,000 Btu/hr,0.664 gpm),(40,000 Btu/hr,1.328 gpm)
80F => (1000 Btu/hr,0.0249 gpm),(5000 Btu/hr,0.125 gpm),(10,000
Btu/hr,0.250 gpm),(20,000 Btu/hr,0.50 gpm),(40,000 Btu/hr,1.00 gpm)
Note: 1 Btu/hr = 0.293 watt, 1000 Btu/hr = 293 watt, 40,000 Btu/hr = 11,711 watt
2) Will the small available head (~ 1 to 2 ft water, decreasing
progressively to zero) drive air to the left through the air slug
diverter fast enough to fill the collector with air promptly? The
head available to drive the air flow to the left into the collector
when the loop is emptying is provided by the difference in elevation of
the air slug diverter and the surface of the water in the DBT.
This difference of elvation is limited to a foot or two (?) by the need
to ensure that when the loop is full and the pump is running, the
pressure in the descender at the level of the air slug diverter is
greater than the pressure in the drainback tank to ensure there is no
air flow into the descender from the drainback tank.
Friday March 17, 2010, To be continued....