560 THE COLLIERY GUARDIAN, March ’24, 1916. CURRENT SCIENCE Problems of Domestic Heating. Mr. A. H. Barker, in a recent issue of Nature, dis- cusses the efficiency of different methods of heating—a problem very difficult to solve on a purely scientific basis. It is, indeed, difficult to attach a precise mean- ing to the expression “ efficiency ” in connection with heating apparatus. The word as commonly understood in connection with devices for the utilisation of energy in any form, means the ratio of the total amount of energy utilised to that consumed. In a heating apparatus it is difficult to say what fraction of the energy is to be regarded as “utilised.” As a rough practical basis of comparison between different systems of heating, we may take the relative amounts of energy necessary to be employed, in a room in order to produce the same feeling of warmth as measured by a suitably calibrated instrument (not a thermometer), while maintaining approximately the same interchange of air. The subjoined table is based on direct experiment in this sense, and refers to the cost of continuous uniform heating in certain natural or normal conditions, the full description of which would occupy much space. An alteration of the conditions would undoubtedly alter the percentages given.. These values cannot, however, in any event be taken as the practical relative costs, because of the manner in which the respective methods of heating are commonly employed in practice. A hot water heater or anthracite stove is generally burning all the day and frequently at night. A gas fire or electrical stove is usually turned oh when the occupant leaves the room. There is a wide difference between this and the maintenance of a continuous temperature through- out the room, and a set comparison between the “ cost efficiency ” is therefore misleading. It is probable, for instance, that in certain circumstances a good gas stove is a cheaper .method of heating an occasionally used room than is an anthracite stove, although the cost efficiency of the latter is far below (i.e., more economical than) the former. In order to enable, the running cost to. be calculated at different prices of the fuel (including in that term electrical power), it will bo desirable to quote the rela- tive equivalents of different agents, as compared with 1,000 Board of Trade units of electrical energy. Table of Efficiencies for Continuous Heating. The rates given are those current in London previous to the war and at present :— Approximate equivalents. Rates per unit. Gross cost. £ 1,000 Electric Radiator. Board of Traded emits of elec- cenk trical energy utilised in best < radiant stove }> 100 of 69 °/_ radiant I efficiency dis- I posed in the | best manner J l^d.. 3d. . 5d. . 6d. . . 6'25 ... 100 .12-5 ...200 .20*8 ...335 .25 ...400 Open Fire. 1*38 tons of f "| best house | Burnt in bad | coal, 14,000 <( grate unsuit- B.T.U. per | ably disposed | lb. L J 0-520 ton best fBurnt in best l house coal, 14,000 1 Ope'1 B.T.U. per| lb. i wal1 8 I 26/-. 35/-. 1-8 ... 29 2’42 ... 39 modern sunk in J 21 26/- ' 35/- 0-675...10’8 0-91 ...146 Closed Anthracite Stove. 0*235 ton best f Burnt in best) anthracite, | modern slow | rm/ 14,500 combustion, f 45 } ■-J,' B.T.U. per | closed anthra- | •' lb. cite stove J 0-47 .7’54 0-59 ...9-42 Gas Stove. 18,300 cu. ft. f Burnt in medium" gas, at 520 J old - fashioned B.T.U. per*] gas fire (not cu. ft. L worst type) 10,700 cu. ft. f Burnt in best^ gas, 520] modern ven- I B.T.U. per ] tilating gas [ cu. ft. stove J 36 62 C 2'6 ... 2*29 ...36*6 I 3/- ... 2'75 ...44 I 2/6 ... 1*34 ...21-3 I 3/- ... 1*60 ...25*6 0*198 ton of coke, 12,500 B.T.U. per lb. 0'306 ton of coke, 12,500 B.T.U. per | lb. I Water Radiators. " Burnt in best pro-" vided modern water boiler with well- > clothed circu- lation to radia- L tors or pipes "In usual small"] house hotl water instal- ( ] 1 a t i on | generally L stalled as [ in- | 62 40 Oil Stove. ( 20/-... 0-198...3*17 I 30/-... 0-297...475 ( 20/- . 0-306...4-9 t 30/- .. 0'459...7*36 19’5 gals, f petroleum | 0*87 gravity, J 20,240 B.T.U. per j lb. L ("Completely") | burnt in any | J kind of stove I ) discharging ; products into / air of room J I 8d. ... 0-650...10-4 llOd. ... 0-810...13-0 AND TECHNOLOGY. Calculation of Mine Timbers. Some useful rules for calculating the dimensions of mine timbers are given by A. G. Morlock in Coal Age. When the diameter and length of an existing collar are known, the safe load per foot of length that it will support may be calculated by the formula—■ w = 0-065 f & (1) in which w = Safe load per foot of length of span (lb.); d = Least diameter of collar (in.); Z = Length of clear span (ft.); /=Safc unit fibre stress (1,2001b. per sq. in. of section, for long leaf yellow pine and white oak, and 9001b. per sq. in. for short leaf yellow pine). In calculating legs for compressive stresses only, the formula—■ f __ L/700 4- 15c + c2) Je a (700 + 15c) should be used, in which L = Total load on leg (lb.): a = Area of cross section of leg (sq. in.); c = Length of leg in inches, divided by its least diameter in inches. The diameter of the leg must be assumed for trial, the most economical section being that in which the safe unit fibre stress is not exceeded. When calculating beams of special cross section, as steel I-beams, it is customary to .employ an expression called the “ section modulus ” of the beam. The section modulus (S) of a beam is a value that, multiplied by the. unit fibre stress (/) of tire material, gives the bending moment (Al) which such beam is capable of supporting, as expressed by the formula— M =/S (3) But, for a beam uniformly loaded and supported at each end, the bending moment (Al), in inch-pounds, is— M = LyL2 = 1-5 wV (4) ' o Combining equations 3 and 4 gives for the section modulus— s = i-snp (5) Atmospheric Pollution. Bather late in the day the first report of the Committee on the Investigation of Atmospheric Pollution has just appeared. The report covers the year ended March 1915, and may be regarded as the firstfruit of the conference of delegates of municipal authorities and others, held in connection with the Smoke Abatement Exhibition of 1912, in London. A committee was then appointed, of which Sir Napier Shaw, F.R.S., Director of the Meteoro- logical .Office, is chairman, and Dr. J. S. Owens honorary secretary. Stations for conducting systematic observa- tions are spread over the country, and these stations—■ 39 at present—have for some time been publishing monthly reports. The present investigation aims at, in the first instance, ascertaining the amount and the composition of the matter which is suspended in the air. Various methods are resorted to for this purpose. The simplest and most largely used by the Committee is to collect, measure, and analyse all the matter caught in a gauge vessel of 4 sq. ft. catchment area. A convenient method for a rapid determination of the solid matter in suspension in tbe air is that of J. S. Owens, in which the air is drawn through filter paper, and the amount of discoloration produced is determined. The quantitative results, tabulated and grouped by the Committee, with the help of the “ correspondents and analysts ” at the various stations, rely on the standard gauge measurements, analysed and referred to unit areas on a uniform plan. The analysis determines (1) tarry or' other carbon .compounds soluble in carbon bisulphide, mainly due to imperfect combustion of coal and wood, and recently also to the practice of tarring roads; (2) carbonaceous matter not soluble in CS2, i.e., coal dust and unburnt coal, animal and vegetable matter and refuse; (3) insoluble ash, including dust from roads; (4) loss on ignition, i.e., the volatile and combustible parts (largely organic) of the compounds dissolved in the rain water; and (5) the residual ash after ignition, contain- ing, like (4), acids and salts dissolved in the rain water, and partly included in the combustion products of coal. These five items make up (6) the total solids collected in the gauge. Separate estimates are made (7) of the sulphates as S04, (8) of the chlorides as Cl (partly salt- water spray); and (9) of the ammonia (from the destruc- tive distillation of coal and decay of animal refuse). The totals (6) are calculated in metric tons per sq. kilom., one ton (of 2,205 lb.) per sq. kilom. beipg equivalent to- ff lb. per acre. In making these estimates, some cor- rection had to be effected, since the gauges of normally 4 ft. square are not exactly of that area; high accuracy is, of course, not required. The actual rainfall is inde- pendently recorded. For the better classification of the results, a further subdivision of the figures into classes A, B, C, D has been adopted, based upon arbitrary units of deposits. The unit, for total solids is five tons per month. When a station belongs to class A, the total amount of solids found per month per sq. kilom. is less than five tons; when it belongs to class B, less than 15 tons (three units); when to class C, less than 25 tons (five units); and when to class D, the total amount of solids exceeds 25 tons per month. The other units are : Tar, 0-05 ton; other carbonaceous matter, 1-ton; ash, 2 tons; loss on ignition, 0-75 ton; residual ash, 1-5 tons; sulphuric acid, 1 ton; chlorine, 0-5 ton; and ammonia,. 0-05 ton. When the results are grouped in this way, we find that different stations of the same and of different towns not rarely differ to a surprising degree. A station may belong to class A in one respect, and to C or D in others. Even tar and other carbonaceous matters do not by any means always go together, nor do the total solids and the rain- fall. The highest tar value of 0-37 (all in tons per sq. kilom. per month) has been observed in Oldham; the lowest in Malvern, which is a clean air town of the A type in all respects; Bowdon (Manchester) is also good as to tar (0*01); Liverpool and Stirling are bad, next to Oldham. Oldham has also the highest carbonaceous matter figure (7-09); whilst Bowdon and Birmingham South-West are fairly low. Again, Oldham leads as to insoluble ash (16-21). MIDLAND INSTITUTE OF MINING, CIVIL AND MECHANICAL ENGINEERS. A meeting oi the Midland Institute of Alining, Civil and Mechanical Engineers was held at the Queen’s Hotel, Leeds, on :Tuesday, March 21, under the chair- manship of Air. Thomas Beach. The chairman announced the following elections:— Afember, Air. Robert Etherington Dobin son, 224, Sheffield-road, Barnsley; associate member, Air. Geoffrey Edwin Foxwell, 10, Violet Bank-road, Nether Edge, Sheffield. The chairman read a letter from the secretary of the Institution of Alining Engineers to Air. G. Blake Walker, saying : “I have much pleasure in advising you that I forwarded the other day a cheque for £713 3s. 4d. to Air. A. Denny Bayley, as -the contribution of this institution towards the transport of the wounded fund for the British Red Cross Society. In acknowledging the receipt of the cheque, All’. Bailey writes me- as under : ‘ I shall be much obliged if you will be good enough to convey to the members of the various societies my best thanks, together with those of the joint war com- mittee of the British Red Cross and Order of St. John for this generous contribution, which is greatly appre- ciated.’ I may, in addition to that, inform you that the amount subscribed by the Alidland Institute was .£319 15s.” The chairman remarked that there was nothing for the Alidland Institute to be ashamed of in that. Dr. Percy Groom, Professor of the Technology of. Woods and Fibres!at the Imperial College, London, read a paper on “ Pit Timber and its Preservation,” which will be found on page 554. Discussion. The Chairman said there was no doubt that a very great deal might be done in preserving timber under- ground, but he did not think that that applied very much to the majority of .the pits in that district, because the timber in them got broken before it had a chance to get decayed. In some of the shallower mines, however, where timber would stand for years, he had no doubt that very great economies could be brought about by some method of dealing with the fungi in the manner indicated by the author of the paper. Prof. AV. G. Fearnsides (Sheffield University) said he thought the paper had originated ' from something which he said to Prof. Groom some time ago. Since the war began, it had been his duty to visit a great many- pits, not particularly those that were winning coal, but those that were winning fireclay and ganister. Alost of them were not very distant from Leeds, or from Shef- field. Almost every time one went into these shallow mines, one found the place littered with fungi, gener- ally in course of fructification. He went as a geologist, and was not particularly concerned with this matter, but it occurred to him that, where he saw these fungi fructifying and spreading their seeds about, it would be worth while if something could be done. He had made some enquiries, and had sent Prof. Groom some props, which one of the managers was good enough to get out for him. It struck him that the difference in the behaviour of the timber in the fresh air and in the returns was very notable. One could see, on that side which was meeting the air, that generally the fungi were beginning their attack, whilst on the other side, remote from the current which brought the seeds, the timber lasted a good deal longer. He saw this, not only in one mine, but in almost all, that it was his duty to go into, which were working under quite wet and shallow conditions. In those places it seemed to him that the weights the timber was expected to carry were not so great as in other places, and yet the timber was standing exceedingly badly. The number of cases that he saw was by no means negligible, and it seemed to him that if anything could be done for even those shallow mines to prevent the onset of this disease, quite a lot of timber would be saved in that coal field. He hoped that the matter would be taken up. It was evidently a difficult question, and there were more conditions than met the eye. The acidity of the water which one sometimes found in the pits seemed to have something to do with it. Lie thought, also, that the temperature and humidity of the mines-should be studied alongside the investigations from the botanical point of view. Air. AV. D. Lloyd (Altofts) said he had no -wish to obstruct any enquiry which would help to decrease the cost of timber in mines, but, at the same time, so far as the deeper pits were concerned, he thought the paper