Alan, absent a white  or green roof  you might benefit as well from a wet 
black one-- Since your solar panels are designed to  soak up as much of the 
solar spectrum as posible, their temperature  may rise 25-50 C when the sun 
is high. 

As the temperature dependence of their internal  resistivity  naturally 
reduces their efficiency, and  their conductive transparent coatings retard 
radiative cooling at night , it might be worthwhile to run the numbers on a 
water misted cooler roof 

On Sunday, November 12, 2017 at 2:45:12 PM UTC-5, Alan Robock wrote:
>
> Certainly white roofs and green roofs are not free, and the green ones 
> require maintenance. 
>
> I have 100% of my roof covered with solar panels, and they require no 
> maintenance. 
>
> My point was, for the same roof area, are white roofs, green roofs, or a 
> roof with solar panels the best economic or environmental solution, 
> making assumptions about the cost of electricity, the source of energy 
> to heat or cool the home, SRECS, time of year, and climate of the 
> installation? 
>
> Alan 
>
> Alan Robock, Distinguished Professor 
>    Editor, Reviews of Geophysics 
> Department of Environmental Sciences             Phone: +1-848-932-5751 
> Rutgers University                                 Fax: +1-732-932-8644 
> 14 College Farm Road                  E-mail: [email protected] 
> <javascript:> 
> New Brunswick, NJ 08901-8551  USA     http://envsci.rutgers.edu/~robock 
> ☮ http://twitter.com/AlanRobock         2017 Nobel Peace Prize to ICAN! 
> Watch my 18 min TEDx talk at http://www.youtube.com/watch?v=qsrEk1oZ-54 
>
> On 11/12/2017 12:24 PM, [email protected] <javascript:> wrote: 
> > 
> > Solar panels produce electricity at a cost. 
> > 
> > Most cool roofs save you energy and money at no cost. 
> > 
> > It is an economic comparison. 
> > 
> > Not all the roofs will be covered 100% with solar panels. 
> > 
> > Hashem 
> > 
> > Quoting Alan Robock <[email protected] <javascript:>>: 
> > 
> >> Wouldn't solar panels on your roof be preferable?  Obviously they would 
> >> create energy for you. But they would also shade the roof in the 
> >> summer, preventing almost all sunlight from reaching it.  One would 
> >> then have to figure out the additional downward longwave from them to 
> >> the roof, estimating the temperature of the bottom of them and their 
> >> emissivity.  Does anyone know of such a calculation?  In the winter, 
> >> the longwave would be good, as it would make up for the missing Sun. 
> >> 
> >> Ignoring the initial cost of the solar panels, would this be 
> >> cost-effective in terms of cooling and heating a house?  And if the 
> >> cost were distributed over time, and accounting for the electricity you 
> >> would generate, how long would they take to pay for themselves? In NJ 
> >> we get SRECS of about $0.20 per kWh in addition to the electricity, but 
> >> that changes with the market.  And currently the Federal tax credit 
> >> pays for 1/3 of the initial cost. 
> >> 
> >> Alan 
> >> 
> >> Alan Robock, Distinguished Professor 
> >>   Editor, Reviews of Geophysics 
> >> Department of Environmental Sciences             Phone: +1-848-932-5751 
> >> Rutgers University                                 Fax: +1-732-932-8644 
> >> 14 College Farm Road                  E-mail: [email protected] 
> <javascript:> 
> >> New Brunswick, NJ 08901-8551  USA http://envsci.rutgers.edu/~robock 
> >> ? http://twitter.com/AlanRobock         2017 Nobel Peace Prize to 
> ICAN! 
> >> Watch my 18 min TEDx talk at http://www.youtube.com/watch?v=qsrEk1oZ-54 
> >> 
> >> On 11/11/2017 6:27 PM, John Harte wrote: 
> >>> I assigned that problem as a homework assignment in a course I teach. 
> >>> 
> >>> 
> >>> 2.  Consider a house in a relatively hot, sunny location such as 
> >>> Southern California. 
> >>> 
> >>> a. To keep the house cool without air conditioning, and thereby  
> >>> reduce energy demand, its inhabitants decide to do one of two things: 
> >>> 
> >>>   i.  They can paint the roof white, increasing its albedo from 0.1 
> >>> to 0.8, or 
> >>> 
> >>>   ii.  They can grow a green roof, using a productive species of 
> >>> grass that will increase the albedo of the roof from 0.1 to 0.2 and 
> >>> that, if watered and fertilized adequately, will cool the house by 
> >>> transpiration.  The rate of transpiration can be estimated from the 
> >>> following: for every kg of grass produced, 300 kg of water are 
> >>> transpired, and the grass grows with an overall photosynthetic 
> >>> efficiency of 1%. 
> >>> 
> >>> a. Ignoring the issue of water supply, which of these strategies (i. 
> >>> or ii.) will result in a cooler house?  (20 pts.) 
> >>> 
> >>> Solution: 2. a.  First, let?s examine the effect of painting the 
> >>> roof white. We?ll assume an average solar flux on the roof of 250 
> >>> watts/m^2 (if you assumed anything between 170 and 300 we will 
> >>> accept it.).  By changing the albedo from 0.1 to 0.8, the home is 
> >>> avoiding the absorption of 0.7 (250) = *175 watts/m^2 *, *which is 
> >>> the benefit of plan i.*  For plan ii., we need to estimate NPP on 
> >>> the roof first. At 1% of available energy, the plants are converting 
> >>> 2.5 watts/m^2 to biomass. Over a year, this is (2.5 joules/sec-m^2 ) 
> >>> x (3.1 x 107 sec) = 77.5 x megajoules/m^2 incorporated into 
> >>> biomass.  Using the conversion: of 16 megajoules(dry biomass) per 
> >>> kg, we find that biomass is produced at an annual rate of  77.5/16 = 
> >>> 4.8 kg (dry biomass0/m^2 . Now using the 300:1 ratio of transpired 
> >>> water to photosynthesized biomass, we get 4.8 x 300 = 1450 
> >>> kg(transpired water)/year.  Transpiring a kilogram of water requires 
> >>> about 2.4 x 10^6 joules (see COW Appendix) and so each year about 
> >>> 2.4 x 10 
> >>> ^6 x 1450 = 3.5 x 10^9 joules/m^2 annually are causing transpiration 
> >>> rather than heating the house.  Expressed in power units, this is 
> >>> 3.5 x 10^9 (joules/m^2 )/3.1 x 10^7 sec= *113 watts/m^2 , which is 
> >>> the transpiration benefit of plan ii. *But there is also a small 
> >>> albedo benefit of grass versus dark shingle, so we get an additional 
> >>> benefit which is 1/7 of the plan i. benefit (due to an albedo 
> >>> increase of 0.1 rather than 0.7), so now we have 113 + (1/7) 175 = 
> >>> *138 watts/m^2 , which is the albedo benefit of plan ii.* *So plan 
> >>> i. wins by a little. * 
> >>> 
> >>> 
> >>> The problem went on to evaluate the added benefit if you burn the  
> >>> grass on the roof for fuel. 
> >>> 
> >>> I actually replaced my dark shingle roof this autumn with 
> >>> light-colored composition shingle.  It makes a huge difference! 
> >>> 
> >>> 
> >>> 
> >>> John Harte 
> >>> Professor of Ecosystem Sciences 
> >>> ERG/ESPM 
> >>> 310 Barrows Hall 
> >>> University of California 
> >>> Berkeley, CA 94720  USA 
> >>> [email protected] <javascript:> <mailto:[email protected] 
> <javascript:>> 
> >>> 
> >>> 
> >>> 
> >>>> On Nov 11, 2017, at 2:22 PM, Russell Seitz <[email protected] 
> <javascript:> 
> >>>>  <mailto:[email protected] <javascript:>>> wrote: 
> >>>> 
> >>>> How do green roofs, which cool by evapotransportation  ( rooftop 
> >>>> lawns require water much as those on the ground do) compare in 
> >>>> cooling efficiency  with higher albedo white roofs combined with 
> >>>>  an equal volume of water spraying when the sun is high? 
> >>>> 
> >>>> On Saturday, November 11, 2017 at 12:16:10 AM UTC-5, E Durbrow wrote: 
> >>>> 
> >>>> 
> >>>>    Perhaps, tangental. Seville planners think they can cool their 
> >>>>    city despite significant temperature increase with 204-700 
> >>>>    hectares of green roofs. 
> >>>> 
> >>>>    Summary: 
> >>>> 
> >>>> https://www.sciencedaily.com/releases/2017/11/171110113938.htm 
> >>>> <https://www.sciencedaily.com/releases/2017/11/171110113938.htm> 
> >>>> 
> >>>> 
> >>>>    Comment: My layperson?s understanding is that it is very 
> >>>>    difficult to predict and simulate city-wide changes in 
> >>>>    temperature when a modification (e.g. reflective roofs, green 
> >>>>    space, etc) occurs. I though I remember that reading that 
> >>>>    reflective roofs might have no effect on local temperature 
> >>>>    (city?s micro-climate). Modelers, is this the case? 
> >>>> 
> >>>> 
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