International Research Journal of Applied and Basic Sciences © 2015 Available online at www.irjabs.com ISSN 2251-838X / Vol, 8 (1): 30-40 Science Explorer Publications Domed Roofs for Better Energy Efficient Architecture; Experimental Validation of Wind Pressures on a Hemispherical Dome Mohammadjavad Mahdavinejad, Seyedehmasoumeh Shafiee, Vahidreza Abossedgh Faculty of Art and Architecture, Tarbiat Modares University, Tehran, Iran Corresponding Author email: [email protected] ABSTRACT: This paper is to measure wind velocity on dome in case of old houses of Isfahan and Kashan in Iran. To analyze wind velocity, the pressure coefficient for zero and ninety degrees angles were calculated separately for those domes in order to compare the results with one or more valid reference; after studying the effects of wind on domes the references were selected for comparing, and the experimental results achieved by Mr. Taylor and the experimental results by Mr. Bahadori were compared to the results achieved by the devices installed on the domes of Isfahan and Kashan and these comparison lead to noticeable results related to computer calculations in the wind tunnel model. The results shows whether these calculations could be used in Iran or not, and could these calculations be used instead of the actual measuring. In this paper, all the measurements have been done in real environment system. Key words: dome-shaped roofs; natural ventilation; wind pressure coefficient, energy efficiency. INTRODUCTION This paper is to analyze domed roofs for better energy efficient architecture through experimental validation of wind pressures on a hemispherical dome. Therefore the paper concentrated on Taylor (1991) research to show how accurate it was and how it may help future investigations. Research Background Literature review of the research shows that architectural design process has a determining role in final form of the project and materialize energy efficiency characteristics of an architectural project (Mahdavinejad et al., 2012a,b,c,d,e). It is important to mention some pioneer researches such as comparative analysis of wind flow in Yazi and Kermani wind towers (Mahdavinejad and Javanrodi K. 2012), efficient roof shapes through wind flow and indoor temperature, case studies: flat roofs and domed roofs (Mahdavinejad and Javanrodi K. 2014), lighting characteristics and building mass (Mahdavinejad and Matoor, 2012) and other architectural design elements (Mahdavinejad et al., 2013a,b,c,d) especially building materials and configuration (Nazari et al.,2014). Hemispherical domes are often used in Iran in order to cover buildings such as mosques, shrines, churches, schools etc. But their desirable thermal function has made these domes useful in other buildings such as markets and bazaars in Iran. (Bahadori and Faghih, 2010) Traditionally hemispherical domes were used in Iran in order to cover the buildings with large areas. These domes have played major roles in Iranian architecture and have had strong effect on cooling duties of the Buildings. (Bahadori and Faghih, 2010) According to Ghasempourabadi et al. (2011) domed roof has a lot to do with air flow characteristics especially in two-shelled domes in Iranian traditional architecture. It is very important to explain that natural energy efficient technologies concentrate of air flow more than other ones (Golamirostam et al., 2014). In Iran, lots of samples are seen where the vastness of the dome is shown compared to other archer of the building such as Isfahan Mosque which has 450 arches and only 2 domes, and in a historical period it is seen that 16 openings were taken and the Nezam ol Molk dome was built instead and the height of the dome building itself has its visual effects and gives the feeling of vastness to the audience and this building can be seen from 18 kilometers distance from the building. Therefore the dome of the house is an Intl. Res. J. Appl. Basic. Sci. Vol., 9 (1), 30-40, 2015 important part of the house. Sometimes a building is entirely a dome which is more commonly seen in shrines and tombs. On the other hand initial researches shows that the solar energy which is received by hemispherical domes is almost the same amount as the solar energy of flat roof with the same area. This received energy causes the roof to be hotter than the room temperature. Because of the wind and natural ventilation, energy efficiency finds a desirable trend. The geometric design of these dome-shaped roofs cause the wind velocity to increase on their surface, which will result in increasing the heat transfer coefficient. Also, since the area of this dome is larger than the flat area, the heat transfer of the dome-shaped roofs are more important. These information could be used to evaluate the heat transfer functions of dome-shaped roofs. (Bahadori and Faghih, 2010) Because of the reasons mentioned above, lots of building across the world have dome-shaped roofs. According to the mentioned points we are trying to compare the wind pressure coefficient on domes in Iran in Kashan and Isfahan with other values of pressure coefficient which were calculated by Taylor (1991), and Bahadori and Faghih (2010). This comparison could be a step to find some useful guidelines for dome-shaped roofs in Iran. METHODOLOGY The aim of the present research is to compare the quantitative results of the tests which were done on the domes of Isfahan and Kashan in order to validate the studies done by Taylor (1991) and Bahadori (2010), and to do so four tests were done in Isfahan and Kashan cities (two test in each city) and the results of the tests were compared and analyzed separately once with Taylor test results and once with Bahadori test results in order to determine their level of validity and usage in Iran. Taylor`s theory The study of aerodynamic pressure on hemispherical dome is done by few researchers and those researches have focused their attention on mean, mean time and the pressure itself. Among these, none has paid attention to the peak pressure, or the effects of turbulence on the density of the natural wind. So Taylor has done some research in order to present some information about local pressure on the peak of the dome and average local pressure in a turbulent wind current, so that these information could be used in wind engineering. He specially has studied the effects of Reynolds number (to the ultra-critical type with the Reynolds number of 0.3×105) on the density and turbulence (10% and 20%) on the boundary layer with the natural wind. He has done extensive studies on the aerodynamic pressure distribution on hemispherical domes in the boundary layer currents which includes the determination of average, standard deviation, minimum, maximum, and also the average of surface pressure coefficient. He calculated the pressure (which is also known as the static pressure in free current) with the increase of 7½ for domes with the height and diameter ratio of 1, ½ and ⅓ and the Reynolds number between 1.1×105 and 3.1×105, in two different turbulence pressure. For that modeling he used the wind tunnel with the boundary layer wind of 30 kW in Monash University with the working range of 1.23×0.92m and a hemispherical dome with the diameter of 300mm and K/D hardness of 10-7 for his experimental studies. He then according to the achieved results and also based on higher Reynolds number calculations on cylinders, studied the effects of Reynolds number and the level of turbulence on the average, standard deviation, peak and average pressure of the surface, and then he determined the critical parts and their pressures for future designs (Taylor, 1991). DISCUSSION 31 Intl. Res. J. Appl. Basic. Sci. Vol., 9 (1), 30-40, 2015 Figure 1. Experimental results for Cp while β=0 (experimental results for wind pressure coefficient at 0° angle) in Isfahan in comparison with Taylor test results Figure 2. Experimental results for Cp while β=0 (experimental results for wind pressure coefficient at 0° angle) in Kashan in comparison with Taylor test results Figures 1 and 2 shows the experimental values of Cp achieved from different parts of domes in Isfahan and Kashan on 0° angle in comparison with experimental results achieved by Taylor. The criteria ϕ (angle) shows the positions of pressure labels, which is zero degrees for positions facing the wind and 180 degrees for positions opposing the wind. ϕ=90 at the peak of the dome. As it can be seen in the figures, the maximum amount for Cp are for points facing the wind (ϕ=0). According to the tests done, this value was about 0.9 in Kashan and around 0.7 in Isfahan, in a way that in the present analysis in comparison to Taylor results this value is a little less in Isfahan and a little more in Kashan. The minimum amount for Cp is at the peak of the dome where the angle is 90 degrees; and the results achieved from this point are less than Taylor`s results. This point has less pressure coefficient in Kashan that in Isfahan. The amount was -1.4 in Isfahan and -1.5 in Kashan which have a 0.1 and 0.2 variance with Taylor results. Obviously, since the maximum amount of velocity is achieved at the peak of the dome, therefore the minimum pressure is also achieved there. 32 Intl. Res. J. Appl. Basic. Sci. Vol., 9 (1), 30-40, 2015 The two sets of results are not completely accurate; therefore some difference between these results could be expected. However because of the separation of the wind and the surface which happens at the back of the dome (ϕ>90), more difference sould be expected in the set of data there. For Re=3.2×105 Taylor has reported the 0.75 value for Cp where ϕ=0 and -1.35 value for Cp where ϕ=90. Because of the high Reynolds number the separation happens behind the roof. Therefore the difference between the two sets of results in this are seems acceptable. As it can be seen in the above pictures, the amount of Cp (Pressure Coefficient) which was achieved from experimental simulation is more than the data presented by Taylor before the peak in the dome, and after the 90 degrees angle this amount is less that Taylor`s results. The minimum difference between the two sets of data occurs between the 50 degrees and 70 degrees angles. Figure 3. Experimental results for Cp while β=90 (experimental results for wind pressure coefficient at 90° angle) in Isfahan in comparison with Taylor test results\ Figure 4. Experimental results for Cp while β=90 (experimental results for wind pressure coefficient at 90° angle) in Kashan in comparison with Taylor test results Figures 3 and 4 shows the experimental results on different points of the domes in Isfahan and Kashan at the angle of 90 degrees in comparison with the experimental results from Taylor. The ϕ Criterion (angle) in this figure show the positions of pressure labels, which are from 0 to 180 degrees. However since the two sides of the diagram are identical and have same values, the degrees on the diagrams were only shown up to 90 degrees. Also because of the symmetry of the dome, only half of it was tested. Therefore the boundary criteria for all surfaces is asymmetry. 33 Intl. Res. J. Appl. Basic. Sci. Vol., 9 (1), 30-40, 2015 Like previous diagrams, at the peak of the dome ϕ is equal to 90 degrees. As it is shown in the figures, the maximum amount for Cp is achieved at (ϕ=0). According to the tests done in this research the amount of Cp for this point was -1.2 for Kashan and -0.8 for Isfahan, and this amount was -1.2 in Taylors experimental studies. The results for Isfahan is about 0.4 more than Taylor`s. The minimum amount for Cp is at the peak of the dome where the angel is 90 degrees. The results achieved in this angle were both in Isfahan and Kashan Lower that the results from Taylors studies. The results achieved from Kashan were generally closer to Taylor`s results that the results achieved from Isfahan and the minimum difference between the two sets occurred around the 90 degrees angle in both diagrams. In figures 3 and 4 it can be seen that the results achieved from Isfahan increases in comparison toTaylor`s results after the angle of 75 degrees and these results from Kashan increases in comparison to Taylor`s results after the angle of 45 degrees, but before these angles the results are lower that Taylor`s results. Figure 5. Experimental results for Cp while β=0 (experimental results for wind pressure coefficient at 0° angle) in Isfahan in comparison with Bahadori test results Figure 6. Experimental results for Cp while β=0 (experimental results for wind pressure coefficient at 0° angle) in Kashan in comparison with Bahadori test results 34 Intl. Res. J. Appl. Basic. Sci. Vol., 9 (1), 30-40, 2015 Figures 5 and 6 shows the experimental results for Cp which were achieved in different points of the domes in Isfahan and Kashan at the angle of zero degrees in comparison with the numeral results achieved by Bahadori. As it was mentioned before, the maximum amount for Cp is for points which are facing the wind (φ=0). In numerical studies done by Bahadori this value is between 0.2 and 0.4 and it is lower that the experimental results both in Isfahan and Kashan. The minimum amount of Cp according to experimental results is at the peak of the dome (at the angle of 90 degrees) and since Kashan has a lower pressure coefficient than Isfahan, this amount was equal to the numerical results achieved by Bahadori in Isfahan and this amount was about 0.15 lower than the numerical results achieved by Bahadori. The difference between the two sets of experimental results from this research weather on Isfahan or in Kashan were higher in comparison with Bahadori`s results than in comparison with Taylor`s results. As it can be seen in the above figures, the values for Cp (Pressure Coefficient) achieved from experimental simulation in both diagrams are higher that Bahadori`s numerical data before the angle of 45 degrees and they are lower after 45 degrees. Figure 7. Experimental results for Cp while β=90 (experimental results for wind pressure coefficient at 0° angle) in Isfahan in comparison with Bahadori test results Figure 8. Experimental results for Cp while β=90 (experimental results for wind pressure coefficient at 0° angle) in Kashan in comparison with Bahadori test results Figures 7 and 8 shows the experimental results of Cp achieved from different points of the domes in Isfahan and Kashan at the angle of zero degrees in comparison with the numerical results presented by Bahadori. As it was mentioned before, since both sides of the diagram is completely symmetric and have same values, the degrees is the diagram were considered only up to 90 degrees. The maximum value for Cp is for the point of φ=0 and the experimental values achieved for Isfahan is -0.8 and for Kashan is -1.2, but this value in Bhadori`s numerical results is about -1. Therefore the achieved experimental results in Isfahan`s diagram is about 0.2 more and in Kashan`s Diagram is about 0.2 less than the numerical 35 Intl. Res. J. Appl. Basic. Sci. Vol., 9 (1), 30-40, 2015 results for the point φ=0. The experimental results for Cp for the angle of 90 degrees were less than Bahadori`s numerical results both in Isfahan and Kashan. In Bahadori`s numerical results the minimum value for the pressure coefficient is at the angle near 90 degrees and after that the numerical values keep increasing. However in experimental values the minimum value is for exactly the angle of 90 degrees. Also the difference between the two sets of numerical and experimental results were more Kashan than the difference in Isfahan. These differences between the angle of 25 and 50 for Isfahan`s diagram and between the angle of 80 and 90 degrees for Kashan`s diagram is at its minimum value. You can see the error percentage between the experimental results of the pressure coefficient in β=0 and β=90 in Kashan and Isfahan and the experimental and numerical results from Taylor and Bahadori in the following table: Table 1.The error percentage for dome-shaped roofs in Isfahan city in β=0 Column 1 2 3 4 5 6 7 8 9 10 11 12 Isfahan 0 0.7324 0.6901 0.5223 0.3662 0.1339 -0.3664 -0.7091 -0.8583 -1.2013 -1.356 -1.4284 -1.3512 Taylor 0 0.74 0.7 0.5 0.37 0.11 -0.4 -0.77 -0.9 -1.1 -1.2013 -1.356 -1.3512 avrage Ttest Error 1 -1.027027 -1.414286 4.46 -1.027027 21.727273 -8.4 -7.909091 -4.633333 9.2090909 12.877716 5.339233 0 8.8355781 0.9679419 Bahadori 0 0.6 0.48 0.25 0.29 0.37 -0.25 -0.4 -0.65 -0.8 -0.92 -1.3 -0.82 avrage Ttest Error 2 22.066667 43.770833 108.92 26.275862 -63.81081 46.56 77.275 32.046154 50.1625 47.391304 9.8769231 64.780488 41.787295 0.6551717 The comparison between the experimental values achieved for the pressure coefficient of the wind in Isfahan`s domes with the angle of zero degrees and the values achieved by Taylor and Bahadori can be seen as the error percentage in the above table. In this comparison; the comparison reference for Error 1 is the numbers from the Taylor diagram and for Error 2 is the numbers from the Bahadori diagram. After number by number comparison, an average of the errors was calculated. The average error in comparison with Taylor`s results was 8.835781 and the average error in comparison with Bahadori`s results was 41.787295. After that on all the numbers achieved from Isfahan two Ttests were separately done, one with all Taylors numbers and one with Bahadori`s number, and in comparison with Taylor`s numbers Ttest=0.9679419 and in comparison with Bahadori`s numbers Ttest=0.6551717 were achieved. Df=1; which means the more this number is close to 1 the difference is less and the results more desirable and the more this number is close to zero the difference is more. As it can be seen in the table the Ttest values in comparison with Taylor`s results is closer to 1 than Bahadori`s results and this shows that this research`s results were closer to Taylor`s results. Table 2.The error percentage for dome-shaped roofs in Kashan city in β=0 Column 1 2 3 4 5 6 7 8 9 10 11 12 Kashan 0 Taylor 0 Error 1 Bahadori 0 Error 2 0.8602 0.7552 0.6005 0.4312 0.1992 -0.3928 -0.7651 -0.9234 -1.3345 -1.4201 -1.5074 -1.4568 0.74 0.7 0.5 0.37 0.11 -0.4 -0.77 -0.9 -1.1 -1.2013 -1.356 -1.3512 average Ttest 16.243243 7.8857143 20.1 16.540541 81.090909 -1.8 -0.636364 2.6 21.318182 18.213602 11.165192 7.8152753 21.764178 0.946178 0.6 0.48 0.25 0.29 0.37 -0.25 -0.4 -0.65 -0.8 -0.92 -1.3 -0.82 average Ttest 43.366667 57.333333 140.2 48.689655 -46.16216 57.12 91.275 42.061538 66.8125 54.358696 15.953846 77.658537 44.033512 0.0130647 The comparison between the experimental values achieved for the pressure coefficient of the wind in Kashan`s domes with the angle of zero degrees and the values achieved by Taylor and Bahadori can be seen as 36 Intl. Res. J. Appl. Basic. Sci. Vol., 9 (1), 30-40, 2015 the error percentage in the above table. In this comparison; the comparison reference for Error 1 is the numbers from the Taylor diagram and for Error 2 is the numbers from the Bahadori diagram. After number by number comparison, an average of the errors was calculated. The average error in comparison with Taylor`s results was 21.764178 and the average error in comparison with Bahadori`s results was 44.033512. After that on all the numbers achieved from Isfahan two Ttests were separately done, one with all Taylors numbers and one with Bahadori`s number, and in comparison with Taylor`s numbers Ttest=0.946178 and in comparison with Bahadori`s numbers Ttest=0.0130647 were achieved. Df=1; As it can be seen in the table the Ttest values in comparison with Taylor`s results is closer to 1 than Bahadori`s results and this shows that this research`s results were closer to Taylor`s results. Table 3.The error percentage for dome-shaped roofs in Isfahan city in β=90 Column 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Isfahan 90 -0.8076 -0.8628 -0.8914 -0.9022 -0.9255 -0.9332 -0.93955 -0.9406 -0.9722 -1 -1.087 -1.12 -1.1903 -1.2273 -1.2852 -1.308 -1.3431 -1.3984 -1.4122 -1.4203 Taylor 90 -1.15 -1.138 -1.134 -1.13 -1.125 -1.12 -1.123 -1.25 -1.23 -1.22 -1.24 -1.25 -1.26 -1.27 -1.275 -1.28 -1.284 -1.29 -1.298 -1.3 average Ttest Error 1 -29.77391 -24.18278 -21.3933 -20.15929 -17.73333 -16.67857 -16.33571 -24.752 -20.95935 -18.03279 -12.33871 -10.4 -5.531746 -3.362205 0.8 2.1875 4.6028037 8.4031008 8.798151 9.2538462 12.523513 0.0183418 Bahadori 90 -0.98 -0.97 -0.973 -0.981 -0.9 -0.91 -0.92 -0.93 -0.97 -1.05 -1.08 -1.1 -1.2 -1.21 -1.22 -1.23 -1.235 -1.37 -1.5 -1.42 average Ttest Error 2 -17.59184 -11.05155 -8.386434 -8.03262 2.8333333 2.5494505 2.125 1.1397849 0.2268041 -4.761905 0.6481481 1.8181818 -0.808333 1.4297521 5.3442623 6.3414634 8.7530364 2.0729927 -5.853333 0.0211268 6.3968431 0.8829803 Table 4.The error percentage for dome-shaped roofs in Kashan city in β=90 Column 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Kashan 90 -1.2049 -1.2008 -1.1987 -1.903 -1.1858 -1.1664 -1.1853 -1.234 -1.3207 -1.3388 -1.3492 -1.3574 -1.3608 -1.3722 -1.3819 -1.3988 -1.4055 -1.4117 -1.4206 -1.4388 Taylor 90 -1.15 -1.138 -1.134 -1.13 -1.125 -1.12 -1.123 -1.25 -1.23 -1.22 -1.24 -1.25 -1.26 -1.27 -1.275 -1.28 -1.284 -1.29 -1.298 -1.3 average Ttest Error 1 4.773913 5.5184534 5.7054674 68.40708 5.4044444 4.1428571 5.5476402 -1.28 7.3739837 9.7377049 8.8064516 8.592 8 8.0472441 8.3843137 9.28125 9.4626168 9.4341085 9.4453005 10.676923 13.956528 0.0032567 Bahadori 90 -0.98 -0.97 -0.973 -0.981 -0.9 -0.91 -0.92 -0.93 -0.97 -1.05 -1.08 -1.1 -1.2 -1.21 -1.22 -1.23 -1.235 -1.37 -1.5 -1.42 average Ttest Error 2 22.94898 23.793814 23.1963 93.985729 31.755556 28.175824 28.836957 32.688172 36.154639 27.504762 24.925926 23.4 13.4 13.404959 13.270492 13.723577 13.805668 3.0437956 -5.293333 1.3239437 19.980916 0.0001102 The comparison between the experimental values achieved for the pressure coefficient of the wind in Isfahan`s domes with the angle of 90 degrees and the values achieved by Taylor and Bahadori can be seen as the error percentage in the above table. In this comparison; the comparison reference for Error 1 is the numbers from the Taylor diagram and for Error 2 is the numbers from the Bahadori diagram. After number by number comparison, an average of the errors was calculated. The average error in comparison with Taylor`s results was 37 Intl. Res. J. Appl. Basic. Sci. Vol., 9 (1), 30-40, 2015 12.523513 and the average error in comparison with Bahadori`s results was 6.3968431. After that on all the numbers achieved from Isfahan two Ttests were separately done, one with all Taylors numbers and one with Bahadori`s number, and in comparison with Taylor`s numbers Ttest=0.946178 and in comparison with Bahadori`s numbers Ttest=0.08829803were achieved. Df=1; As it can be seen in the table the Ttest values in comparison with Bahadori`s results is closer to 1 than Taylor`s results and this shows that this research`s results were closer to Bahadori`s results. The comparison between the experimental values achieved for the pressure coefficient of the wind in Kashan`s domes with the angle of 90 degrees and the values achieved by Taylor and Bahadori can be seen as the error percentage in the above table. In this comparison; the comparison reference for Error 1 is the numbers from the Taylor diagram and for Error 2 is the numbers from the Bahadori diagram. After number by number comparison, an average of the errors was calculated. The average error in comparison with Taylor`s results was 13.956528 and the average error in comparison with Bahadori`s results was 19.980916. After that on all the numbers achieved from Isfahan two Ttests were separately done, one with all Taylors numbers and one with Bahadori`s number, and in comparison with Taylor`s numbers Ttest=0.0032567 and in comparison with Bahadori`s numbers Ttest=0.0001102 were achieved. Df=1; As it can be seen in the table the Ttest values in comparison with Bahadori`s results is closer to 0 than Taylor`s results and this shows that this research`s results were have significant variance with Taylor`s and Bahadori`s results. As it was mentioned before the two sets of experimental results are not quite accurate; therefore the difference between these two set of results could be expected. However because of the separation of the wind and the surface that happens at the back of the dome (φ>90) the difference between the two sets of data could be expected in this area. Taylor reported the value of Cp as 0.75 for φ=0 and Re=3.2×105 and he also reported the value of Cp as -1.35 for φ=90 and Re=3.2×105. Because of the high Reynolds number the separation happens at the back of the dome. Therefore the difference between the two sets of results is acceptable in this area. Ttests are commonly used in order to determine the level of meaningfulness of the difference between two averages. This is an experimental hypothesis, but in formal meaningfulness tests, the experimental hypothesis is not directly tested, but it`s negative form (which is known as H0 or Null hypothesis) is tested. The device for measuring wind pressure coefficient in Kashan and Isfahan In order to determine the wind pressure coefficient in Kashan and Isfahan domes, the amount of the passing wind is calculated in cubic meter per minute or cubic foot per minute (also known as cmm and cfm) using the Tes-1341 Hot-Wire Anemomete device. Figure9. 38 Intl. Res. J. Appl. Basic. Sci. Vol., 9 (1), 30-40, 2015 Some of the specifications of this device is as follows TES 1341 Hot-Wire Anemometer FEATURE: Fast response probe. -Air flow volume. -Instant / Avg / ⅔V max flow measurement -Velocity m/s, f t/ min, knots km / hr , mph, bft. -Temperature & Humidity measurement. -Calculate Dew point temperature, wet bulb temperature, wind chill temperature, Humidex temperature and Heat index temperature. -Data hold & Maximum/Minimum/ Average function. -Manual data memory and read function (5× 99 sets) -Auto data memory and read function (5× 99 sets) -LCD triple display. -Telescoping probe. -USB Interface. Specifications Table5. Function Air Velocity Air Flow Volume Relative Humidity Temperature West Bulb Temperature Dew Point Temperature Measuring Range 0.1 to 30.0 m/s 0 to 999900 3 m /min 10 to 95% RH Resolution -10 to 60 ˚C 5 to 60 ˚C 0.1˚C 0.1˚C -15 to 49 ˚C 0.1˚C Accuracy 0.01 m/s 3 0.001 m /min 0.1%RH ±3% of reading ± 1%FS ±3%RH (at 25˚C, 30 to 95%RH) ±5%RH (at 25˚C, 10 to 30%RH) ±0.5˚C Calculated Table6. Response time Manual Memory Capacity Auto Memory Capacity Operating Conditions Power Source Battery Life Size Weight Accessories 1 second 5×99 sets. (Direct reading from LCD display) 5×99 sets. (Direct reading from LCD display) 0 ˚C ̴ 50˚C (32˚F ̴ 122 ˚F), ≤ 80% R.H. 6 pcs size AAA Battery Approx. 400g (including Probe) 135(L) × 72(W) ×31(H)mm Approx. 400g (including Proble) Instruction manual, Battery, USB Cable, CD Software, Carrying case 39 Intl. Res. J. Appl. Basic. Sci. Vol., 9 (1), 30-40, 2015 CONCLUSION The adaptive comparison between the measured values and the simulation ran by Bahadori shows that the model presented by Bahadori has acceptable validity. Because as it was seen above the average error percentage for pressure coefficient on Isfahan`s domes at the angles of zero and 90 degrees in comparison with Bahadori`s results were 41.787295 and 6.3968431 and also in Kashan domes these values are for the same angles 44.033512 and 19.980916. The measured values shows that the calculation pattern presented by Taylor (Numerical) has acceptable validity for dome surfaces. Because as it was seen above the average error percentage for pressure coefficient on Isfahan`s domes at the angles of zero and 90 degrees in comparison with Taylor`s results were 8.835781 and 12.523513 and also in Kashan domes these values are for the same angles 21.764178 and 13956528. The analyses shows that the test results of this research is closer to Taylor`s results that Bahadori`s numerical results (except for Isfahan`s sample at the angle of zero degrees). Dome shaped roofs have special and specific usages in Islamic countries and especially in Iran. These roofs have had special place in Iranian architecture before and after Islam. There are different kinds and forms of dome-shaped roofs based on their usages in different climates and they will result in special air currents which will result in increasing the desirability, welfare and also decreasing the energy usage for cooling purposes. ACKNOWLEDGEMENTS This paper is result of M. Sc. Dissertation of Seyedehmasoumeh Shafiee and Vahidreza Abossedgh which has been done under supervision of Dr. Mohammadjavad Mahdavinejad in TMU (Tarbiat Modares University). REFERENCES Bahadori M, Faghih A. 2010. Three dimensional numerical investigation of air flow over domed roofs. J. Wind Eng. Ind. Aerodyn. 98: 161-168. 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