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1. B1 B2 B12 B13 COND1 is the thermal conductivity of the filling material bentonite quartz sand water etc W mK ITYPE 1 the card 28 is not read and must be omitted ITYPE 2 B1 distance from the borehole centre to pipe 1 centre m B2 distance from the borehole centre to pipe 2 centre m B12 distance from pipe 1 centre to pipe 2 centre m B13 not read ITYPE 3 B1 distance from the borehole centre to pipe 1 centre m B2 distance from the borehole centre to pipe 2 centre m B12 distance from pipe 1 centre to pipe 2 centre m B13 distance from pipe 1 centre to pipe 3 centre m Pipe 1 and 3 are assumed to be symmetrically placed relative to pipe 2 Hence the distance B3 from the borehole centre to pipe 3 centre is equal to B1 ITYPE 4 the card 28 is not read and must be omitted ITYPE 5 the card 28 is not read and must be omitted Data for the hydraulic coupling between the boreholes 29 30 NHYD NHYD1 I1 NHYD 0 the hydraulic coupling is generated automatically There is one hydraulic group with all the boreholes coupled in parallel The next cards are not used end of the input parameter file NHYD gt 1 NHYD is the number of hydraulic system i e the number of systems that will be independently operated The maximum number of hydraulic systems is limited to 5 Number of groups within the hydraulic system 11 for 11 1 to NHYD One number for each hydraulic system A group is f2. If NHCUT is zero then go to 18 XH1 1 YH1 1 XH2 1 YH2 1 NHX I NHY 1 The start X1 Y1 and end coordinates X2 Y2 for a horizontal vec tor which is part of the limit for the horizontal cut Number of parts that the horizontal cut shall be divided into TRNSBM user manual for TRNSYS 16 or 17 Scuola universitaria professionale della Svizzera italiana 18 19 20 21 22 YLENGTH l ZHORIZ I 5 LQSU1 STRTTM ENDTM PRETIM I PRNTDT I TIMIN I TIMAX 1 The length of a line perpendicular to the vector specified above The two vectors specify a rectangle The depth for the horizontal cut The card 17 is repeated for each cut i e for 1 to NHCUT Each card contains all height parameters LQSU1 1 output information for each borehole LQSU1 0 no output information for the boreholes Start time and end time of the simulation See below for other time units than seconds With the TRNSYS version of SBM ENDTM is in creased if necessary to match the stop time of the TRNSYS simula tion First print time and printing interval for the printouts a and b See be low for other time units than seconds Two cards 20 are required one for the a printouts and one for the b Energy Energies inlet and outlet fluid temperatures heat flows and temperatures at the borehole wall Cuts Temperature fields written in horizontal and or vertical cuts Number of time interval window
3. at the ground surface is the angle between the vertical plane containing the X axis and the vertical plane containing the borehole b is measured anti clockwise from the positive X axis direction and the projection of the borehole in the horizontal plane at Z 0 0 lt lt 360 for a borehole in the plane formed by the X and Z axis 0 if the borehole points towards positive X values and 180 if it points to wards negative ones 0 for a vertical borehole IS symmetry group IP borehole index One card for each borehole in the sym metry group i e NN IS times The cards 12a and 12b are repeated for each symmetry group i e for IS 1 to NSYM Automatic mesh generation in the vertical direction Z axis NZMESH can take values from 1 to 6 Commonly used values are 5 or 6 Number of vertical cuts for the printing of vertical temperature fields in the ground If NCUT is zero then go to 16 XV1 1 YV1 1 XV2 1 YV2 1 NVH 1 ZV1 1 ZV2 1 NVZ 1 NHCUT The start X1 Y1 and end coordinates X2 Y2 for the vertical tem perature field NVH I is the number of divisions in the horizontal di rection Start Z1 and end coordinates Z2 in the vertical direction NVZ I is the number of divisions in the vertical direction The cards 15a and 15b are repeated for each cut i e for 1 1 to NCUT Number of horizontal cuts for the printing of horizontal temperature fields in the ground
4. the definition of CIRCUL VISC DENS CF CONDF Fluid properties dynamic viscosity kg m s density kg m volumet ric heat capacity J m K and thermal conductivity W mK If ITYPE lt 4 then card 26 is REYLI1 REYLI2 Turbulent flow limits on the Reynold numbers for channel 1 core and channel 2 annulus These number determinate the Reynold number for which the flow changes from the laminar to the turbulent regime REYLI1 and REYLI2 are normally in the interval 2 300 to 10 000 If ITYPE 4 or 5 then card 26 is IGHE IGHE defines whether the borehole installation is a coaxial one or a U pipe one IGHE 0 coaxial installation IGHE 1 U pipe installation n U pipes are symmetrically in stalled in the vicinity of the outer boundary of the borehole If ITYPE lt 4 then card 27 is RPI RPY RLAMPL Inner and outer radius of the plastic tubes m thermal conductivity of the plastic tube W mk If ITYPE 4 then card 27 is RbGHE RaGHE Values for respectively the borehole thermal resistance Rb and the in ternal thermal resistance of the borehole Ra K W m according to Hellstr m 1991 If ITYPE 5 then card 27 is LUGHE Logical unit through which the data will be read Rb Ra etc An as sign statement has to be added in the TRNSYS deck to link the data file to this logical unit TRNSBM user manual for TRNSYS 16 or 17 Scuola universitaria professionale della Svizzera italiana 28 COND1
5. the ground would require a very fine mesh with many cells A calculation using a standard numeri cal method is therefore extremely cumbersome Instead the inherent symmetries of the process are used This is done by the superposition technique TRNSBM user manual for TRNSYS 16 or 17 Scuola universitaria professionale della Svizzera italiana In each borehole the upward and downward fluid temperatures vary along the channels and with time The convective heat flow in the fluid channels is balanced against the conductive heat flows between the fluid channels and the borehole wall The conductive heat transfer along the fluid channels is very small and therefore neglected The heat balance equations in the boreholes are solved for the steady state case The input variations of the fluid temperature and pumping rate should therefore be on a time scale larger than the following two limits 5rp a time scale over which the steady state description with a thermal resistance circuit is valid anrp 2H V time scale for the fluid to circulate through the borehole With rp radius of the borehole m a thermal diffusivity m s nny cross section for the flow rate m n number of pipes connected in parallel in a borehole fp radius of one pipe m H borehole vertical extension m Vi flow rate through the borehole m s For a typical borehole installation the first limit is greater than the second one and amounts to about 2 3 hou
6. 2097 2097 2058 2027 2001 1976 1952 1926 2117 2117 2117 2083 2022 o o o 5 lO o o o o o o o 5 T o o o o o o o 5 eee o o o o o o o 5 5 10 0 1018 1018 1018 1018 1007 1007 1007 1007 1007 o o o o o o o o 5 O o o o o o o o o o 5 o o o o o o o o o 5 o o o o O 3835 73835 3835 3835 3835 3835 3835 3835 3835 3835 3835 3835 3835 3835 3835 3835 3835 3835 3835 3835 3835 3835 3835 3835 3835 3835 3835 3835 3835 3835 23793 3793 3793 3793 3793 5 0 52 472 519 803 1324 1723 2300 3220 5060 11500 69 630 693 1072 1768 2300 3070 4298 6754 15351 90 820 901 1394 2300 2992 3994 5592 8787 19971 149 1353 1487 2300 3794 5 0 15 0 TRNSBM user manual for TRNSYS 16 or 17 Scuola universitaria professionale de 0513 0507 0502 0497 0491 o o o 5 O 0548 0548 0545 0528 0514 0508 0503 0499 0495 0490 o o o o o o o 5 E o o o o O o o o o o o o o o 5 1999 1978 1959 1940 1919 2122 2122 2112 2049 1999 1980 1963 1948 1932 1915 o o o oO 5 o o o o o o o 5 5 1007 1007 1007 1007 1007 1007 1007 1007 1007 1007 1007 1007 1007 1007 1007 BOR version 970217 D by Daniel Pahud based on the Earth Energy Designer Input file D BOR 2U_ PIPE3 DAT This ou
7. as input Nevertheless the air temperature on ground surface is also an input and may vary with time The outputs returned to TRNSYS are the mean outlet fluid temperature the mass flow rate and mean heat extraction rate per hydraulic system during the TRNSYS simulation time step The TRNSBM user manual for TRNSYS 16 or 17 Scuola universitaria professionale della Svizzera italiana outputs from the stand alone programme are also written to an output file The short time effects due to the rapid variation of the loading conditions not simulated by SBM can successfully be taken into account with a pipe component in TRNSYS 3 1 The Input Parameter File TRNSBM requires 3 parameters in the TRNSYS deck see section 3 2 All other input parame ters are read in an input file This file is the same as the one read by the stand alone SBM pro gramme except that the data for the loading conditions are not used Refer to Eskilson 1986 for a detailed description of the input parameter file A short description is given here two values on the same card are separated with a coma or space characters PARAMETER FILE DESCRIPTION 1 10 11 AHEAD LPRT DTOKAY RU RLAM CIN FREST TZO ATO AT1 FSAVE NSYM NN IS Name of the run AHEAD can be any text string maximum 72 char acters read in FORMAT A72 LPRT 2 summary of input data printed LPRT 1 input data printed includes LPRT 2 LPRT 0 no inpu
8. indicate how many times a mesh is repeated and the second value specifies the radial extension of that cell For example the following 3 cards define the mesh structure given below Card 1 ro the borehole radius m 0 05 Card 2 number of pairs on card 3 11 Card 3 for each pair number of mesh radial extension of the mesh m 30 1 10 2 104 108 116 132 164 1128 1256 1512 2100 The defined mesh is m r 0 05 0 15 0 25 0 35 0 55 0 95 1 75 3 35 6 55 12 95 25 75 51 35 102 55 202 55 302 55 Special format for time values An easy way can be used to specify the time A sequence of pairs formed by a number and one of the following letters is given Y Year 365 days 31 536 000 seconds Q Year 12 39 417 days 2 628 000 seconds D Day 86 400 seconds H Hour 3 600 seconds M Minutes 60 seconds S Seconds Examples 1Y12D 1 year and 12 days 25D4H2M 25 days 4 hours and 2 minutes 3Q500S 3 12 year and 500 seconds 3 2 The Parameter Values PARAMETER VALUES DESCRIPTION 1 NHYD Number of hydraulic circuit This parameter ranges from 1 to 5 and has to be equal to the number of hydraulic circuits defined in the input parameter file for TRNSBM 2 LUINSBM Logical unit for the input parameter file for TRNSBM An assign statement has to be written in the TRNSYS deck to link the input pa rameter file name to this logical unit TRNSBM user manual for TRNSYS 16 or 17 Scuola universitaria professionale d
9. Scuola universitaria professionale della Svizzera italiana Dipartimento ambiente costruzioni e design SUPSI Istituto sostenibilit applicata all ambiente costruito Campus Trevano CH 6952 Canobbio T 41 0 58 666 63 51 F 41 0 58 666 63 49 isaac supsi ch www isaac supsi ch 7 _ X EA N IVA 425112 SES K J The Superposition Borehole Model for TITLE TRNSYS 16 or 17 TRNSBM EERE User manual for the April 2012 version Internal Report AUTHOR Dr Daniel Pahud PLACE AND DATE Lugano April 2012 Scuola universitaria professionale della Svizzera italiana Table of Contents TaIntroduetioni n enn ena elia ilaria fe dei p 3 2 The stand Alone Model e lo leale p 3 3 The TRNSYS Version of SBM hh f O Oa a p 4 3 1 The Input Parameter File k kOkk a p 5 Data for the local problem in the borehole ss L p 7 Data for the hydraulic coupling between the boreholes p 9 Data file for the borehole thermal resistances i im gt oGcGSn p 10 Cell structure in the radial direction p 13 Special format for time values ss i L p 14 3 2 The Parameter Values m F h kOC a j p 14 3 3 The Input Variables ss L p 15 34 The Outpt VariableS ties intra tibia p 15 3 5 Information Flow Diagram__ p 16 References os O a lata rurale aE rar e id p 16 TRNSBM user manual for TRNSYS 16 or 17 Scuola universitaria professionale della Svizzera italiana 1 Introduction One method of extracting heat fro
10. al resistances The borehole thermal resistance Rb and the internal one Ra have to be calculated for 5 fluid temperatures and 10 flow rates The temperature and flow rate values are chosen so that the whole range of possible values is covered Last but not least the resistance values have to reflect the flow regime transition at Reynold number 2 300 Five values of flow rate are thus fully deter mined as the Reynold number has to be calculated to 2 300 for each of the five temperature val ues These five flow rates are inserted in the middle of the flow rate range For each temperature and flow rate value the Reynold number is calculated together with the thermal resistances determined both for laminar and turbulent flow regime A non commercial pro gramme called BOR Pahud 1997 was created to automatically generate the Rb Ra and Rey nold values calculated with the EED programme Hellstrom and all 2000 The data file has to follow the specific structure given below Several values in a line of the file have to be separated with space characters First line five values of the heat carrier fluid temperature C given in increasing order Second line first five values of the fluid flow rate per borehole m s given in increasing order Third line last five values of the fluid flow rate per borehole m s given in increasing order Fourth line empty Lines 5 to 14 first block of data calculated for the first fl
11. cosity 0 019000 kg m s Fluid properties at temperature 10 0 C Thermal Conductivity 0 440 W m K Heat Capacity 3800 J kg K Density 1043 kg m3 Viscosity 0 014220 kg m s Fluid properties at temperature 5 0 C Thermal Conductivity 0 440 W m K Heat Capacity 3810 J kg K Density 1042 kg m3 Viscosity 0 010920 kg m s Fluid properties at temperature 5 0 C Thermal Conductivity 0 450 W m K Heat Capacity 3830 J kg K Density 1039 kg m3 Viscosity 0 006600 kg m s Fluid properties at temperature 15 0 C Thermal Conductivity 0 450 W m K Heat Capacity 3850 J kg K Density 1035 kg m3 Viscosity 0 004250 kg m s KKKKKKKEK END OF FILE KKKKAKAKAKAAKAA Cell structure in the radial direction The cell structure covers the radial region comprised between an inner boundary defined by the radius of the borehole and an outer boundary set sufficiently far away so that the radial thermal flux at this outer boundary is always negligible during the simulation period Three cards are used to define the mesh The first card contain the radius value of the boreholes ro m The integer value on the second card indicates the number of pairs that the third card contains The mesh TRNSBM user manual for TRNSYS 16 or 17 Scuola universitaria professionale della Svizzera italiana structure is defined with the radial extensions of each cell i e the difference between its outer and inner radius given in order from the inner boundary The first value of a pair
12. ella Svizzera italiana 3 LUOUTSBM Logical unit for the output file created by TRNSBM An assign state ment has to be written in the TRNSYS deck to link the output file name to this logical unit 3 3 The Input Variables INPUT VARIABLES DESCRIPTION Tair Air temperature on ground surface C For i 1 to NHYD hydraulic systems NHYD MAX 1 NHYD and NHYD lt 5 3 i 1 Tin i Inlet fluid temperature in hydraulic system i C 3 min i Total mass flow rate in hydraulic systemi kg h 3i 1 Circul i Switch to set the circulation of the fluid through the hydraulic system i If Circul i gt 0 the fluid circulates from symmetry group to symmetry group and from group to group according to the manner they where ordered in the hydraulic system i In a borehole the fluid circulates as indi cated in card 24 of the input parameter file If Circul i lt 0 the fluid circulation is reversed in hydraulic system i 3 4 The Output Variables OUTPUT VARIABLES DESCRIPTION For i 1 to NHYD hydraulic systems NHYD MAX 1 NHYD and NHYD lt 5 3 1 2 3 1 3 Tout i Average outlet fluid temperature in hydraulic system i If there is no flow the outlet temperature is set to the average temperature on the borehole wall C mout i Total mass flow rate in hydraulic system i kg h Q i Average exchanged heat rate in hydraulic system i kJ h TRNSBM user manual for TRNSYS 16 or 17 Scuo
13. la universitaria professionale della Svizzera italiana 3 5 Information Flow Diagram INPUTS 4 to 160r 1 3 i number of hydraulic systems 1 to 5 OUTPUTS 3 to 15 or 3 i PARAMETERS 3 the SBM parameters are read in an input parameter file through logical unit given by the second parameter Hydraulic system 1 INPUTS T T 1 m _ 1 Circul 1 alr 2 3 TYPE 281 TRNSBM Superposition Borehole Model for TRNSYS 2 3 4 OUTPUTS T 1 maD Q 1 Hydraulic system 1 References Eskilson P 1986 Superposition Borehole Model Manual for Computer Code Department of Mathematical Physics Lund Institute of Technology Lund Sweden Eskilson P 1987 Thermal Analysis of Heat Extraction Boreholes Department of Mathematical Physics Lund Institute of Technology Lund Sweden Hellstr m G 1991 Ground Heat Storage Thermal Analyses of Duct Storage Systems Theory Thesis Department of Mathematical Physics University of Lund Sweden Hellstr m G Sanner B 2000 Earth Energy Designer Users Manual version 2 0 http www buildingphysics com Pahud D Fromentin A and Hadorn J C 1996 The Superposition Borehole Model for TRNSYS TRNSBM User Manual for the November 1996 Version Internal Report LASEN DGC EPFL Switzerland TRNSBM user manual for TRNSYS 16 or 17
14. m the ground to support a heat pump for domestic heating is to use a deep borehole Multiple borehole systems can be used to support large heat pumps In this case it is often necessary to re inject heat to the ground normally during the summer In sys tems with both air conditioning and heating heat is injected to the ground in the cooling mode and extracted in the heating mode The proper design and dimensioning of these systems require a precise knowledge of the relation between fluid temperature and heat extraction under various conditions The Superposition Borehole Model SBM has been developed by Dr P Eskilson at the Lund Institute of Technology LTH Sweden in order to provide a tool for the analysis and design of such systems Eskilson 1986 1987 It has been adapted for TRNSYS in 1996 by Dr D Pahud Pahud and al 1996 at the Swiss Federal Institute of Technology EPFL in Lausanne TRNSYS is a widely used modular and flexible programme for the simulation of transient thermal proc esses of a thermal energy system With the SBM module for TRNSYS a borehole system can be simulated analysed and optimised as part of a complete thermal energy system In particular the thermal interaction between the heat pump and the borehole system is taken into account The concept of effective borehole thermal resistance as described by Hellstr m 1991 has been implemented in TRNSBM as well The two thermal resistances that determine the boreh
15. ole heat transfer characteristics may either be fixed to constant values or read in a file to reflect a flow and temperature dependence behaviour This former version of TRNSBM has been adapted to TRNSYS 16 or 17 It is not the multi ground layers version which is a further development of the component that has been performed by TRANSSOLAR TRNSBM is a non standard TRNSYS Type and its Type number is set to 281 It is adapted as a genuine TRNSYS Type and complies to the TRNSYS 16 standard All the calculations inside the component are now performed in double precision real variables It can be compiled as a drop in dil which means that the TRNSYS Kernel does not need to be recompiled when TRNSBM is used Neither the authors nor any employees of the above mentioned institutions makes any war ranty expressed or implied or assumes any liability or responsibility for the accuracy complete ness or usefulness of any information apparatus product or process disclosed or represents that its use would not infringe privately owned rights 2 The Stand Alone Model The model calculates the three dimensional temperature field in the ground for a system with an arbitrary number of vertical or graded boreholes The heat flow problem assumed to occur by pure heat conduction in the ground is solved by using the explicit forward differences FDM The steep temperature gradients close to the boreholes and the complicated three dimensional geometry in
16. ormed by several channels coupled in parallel A channel is defined by several symme try groups coupled in series Within a symmetry group all the bore holes are connected in parallel as they see exactly the same sur rounding and behave exactly in the same manner A group has a common inlet fluid temperature The outlet flow from the channels of a group are mixed and used as inlet flow to the next group The mixed outlet temperature from the channels of the last group is the outlet temperature from the hydraulic system TRNSBM user manual for TRNSYS 16 or 17 Scuola universitaria professionale della Svizzera italiana 31 NHYD2 12 Number of channels in the group 12 for 12 1 to 2NHYD1 I1 One number for each group from hydraulic system 1 to hydraulic system NHYD 32 NHYD3 I3 Number of symmetry groups in channel 13 for 13 1 to 2NHYD2 I2 One number for each channel from group 1 of the first hydraulic sys tem to the last group group number XNHYD1 I1 of the hydraulic system NHYD 33 ZFLUID I3 The part of the total fluid flow QWDEM I1 that passes through chan nel 13 11 is the hydraulic system number associated with the channel 13 13 1 2NHYD2 I2 One number for each channel from group 1 of the first hydraulic system to the last group group number 2NHYD1 I1 of the hydraulic system NHYD 34 NHYD4 I4 The specific index for the symmetry group 14 14 1 2NHYD3 I3 Data file for the borehole therm
17. rs The time for the fluid to circulate through the borehole takes usually some min utes Input parameters for the model are the thermal properties of the ground assumed to be homo geneous the borehole s geometry and data for the heat collector in the borehole The hydraulic coupling between the fluid channels of the different boreholes can be arranged in many ways There is a choice between coupling in series in parallel or a hybrid of these two Another possibil ity of the simulation model is that the boreholes can be coupled in separate hydraulic systems up to five each with independent loading conditions i e independent inlet fluid temperatures or av erage heat extraction rates See Eskilson 1986 for the description of the input parameters and loading conditions Output data from the model is the heat extraction rate the injected and extracted energy the extracted energy of each separate borehole the overall average value of the varying temperature along the borehole walls and finally the inlet outlet and bottom temperatures of each borehole Temperature fields may be obtained in horizontal and vertical planes 3 The TRNSYS Version of SBM The same flexibility as the stand alone programme is maintained in the TRNSYS version ex cept for the loading conditions which are reduced to the inlet fluid temperature and mass flow rate of each specified hydraulic system It is not possible to specify average heat extraction rates
18. s for which printing of output is wanted The limits of the time intervals for which printing is wanted See below for other time units than seconds The card 22 is repeated for each time interval window i e for 1 1 to NH Data for the local problem in the borehole 23 ITYPE Type of collector ITYPE 0 not allowed in the TRNSYS version ITYPE 1 collector with a concentric inner tube ITYPE 2 U pipe A U shape loop of plastic tube in the borehole ITYPE 3 U pipe with three plastic tubes The flow direction is the same in two of the channels TRNSBM user manual for TRNSYS 16 or 17 Scuola universitaria professionale della Svizzera italiana 24 25 26 27 ITYPE 4 the borehole thermal resistances Rb and the internal thermal resistance Ra are given by the user and kept constant during the simulation Rb and Ra are given in the card 27 ITYPE 5 the borehole thermal resistances Rb and the internal thermal resistance Ra are read in a file and interpolated Rb and Ra are flow and temperature dependent Look below in section Data file for the borehole thermal resistances for the structure of the file The file logical unit is given in the card 27 An assign statement has to be added in the TRNSYS deck to link the file to the logical unit IDIREC IDIREC 1 downward in channel 1 core IDIREC 1 downward in channel 2 annulus If CIRCUL lt 0 the pump flow is reversed See the input variables for
19. t is printed Not used With the TRNSYS version of SBM DTOKAY is set to the TRNSYS simulation time step Cell structure in radial direction See example below Thermal conductivity RLAM W mK and volumetric heat capacity CIN J m K of the ground If FREST is equal to 0 then continue on card 7 If FREST is equal to a filename then the start temperature field in the ground will be fetched from this file and next card is number 9 The constant ground surface temperature C not used The undisturbed temperature in the ground T z ATO AT1 z If FSAVE is equal to 0 nothing is stored If FSAVE is equal to a file name then the temperature field will be stored on this file at the end of the simulation Number of borehole symmetry groups All boreholes in one symmetry group sees exactly the same surrounding Number of boreholes in each symmetry group for IS 1 to NSYM One number for each group TRNSBM user manual for TRNSYS 16 or 17 Scuola universitaria professionale della Svizzera italiana 12a HWELL IS DISO IS THETW IS Active borehole length H m depth D m of insulated borehole and angle 0 from the vertical direction to the borehole axis 0 lt 0 lt 90 6 0 for a vertical borehole The total borehole length is D H 12b XA IS IP YA IS IP PSIW IS IP 13 14 15a 15b 16 17 NZMESH NCUT The positions of the boreholes X coordinate m and Y coordinate m
20. tput file D BOR 2U_ PIPE3 BOR la Svizzera italiana 3793 3793 3793 3793 3793 o o o 5 5 23193 23793 3793 3793 3793 3793 3 793 3793 3793 3793 o o o o o o o o 5 5 4936 6590 9225 14497 32948 230 2093 2300 3558 5870 7637 10194 14271 22426 50969 ate 1997 2 19 MEMORY NOTES FOR PROJECT 1 Double U pipe installation Time 21 53 PE DN32mm PN10 the PE can t stand high temperatures Filling material quartz sand 2 3 4 Spacers to keep apart the pipes 5 GROUND Ground Thermal Conductivity BOREHOLE Borehole installation Borehole diameter WARNING U pipe U pipe U pipe U pipe Filling Thermal Conduct Filling Thermal Conduct the U pipe s is in the borehole are 2 500 W m K DOUBLE U 0 100 m supposed to be symmetrically placed A deviation to the symmetrical case tends to increase the borehole thermal resistance diameter thickness thermal conductivity shank spacing unfrozen frozen 0 032 m 0 0030 m 0 420 W m K 0 0600 W m K 2 000 W m K 2 000 W m K TRNSBM user manual for TRNSYS 16 or 17 Scuola universitaria professionale della Svizzera italiana Contact Resistance Pipe Filling 0 0100 K W m Number of multipoles 5 HEAT CARRIER FLUID Fluid type USER DEFINED Fluid properties at temperature 15 0 C Thermal Conductivity 0 440 W m K Heat Capacity 3790 J kg K Density 1044 kg m3 Vis
21. uid temperature given in the first line each lines contains 5 values Rb_turbulent K W m Ra_turbulent K W m Rb_laminar K W m Ra_laminar K W m and Reynold number the 10 lines are calculated for each value of the flow rate in the order given in lines 2 and 3 Line 15 empty New block of data repeated 4 times for the last 4 fluid temperatures An empty line separates each block TRNSBM user manual for TRNSYS 16 or 17 Scuola universitaria professionale della Svizzera italiana o o o co o o co o eee o o o o o o co E o o o o o co o 5 5 o o o 5 OG The following example is a data file created with the BOR programme for a double U pipe bore hole heat exchanger It should be noticed that the text file following the numeric values is ignored when the file is read by TRNSBM It is used to record conditions and parameters at which the cal culations were made 15 0 00003857 0 00035100 0 00038572 0 00059669 0 00098441 00128067 0 00170952 0 00239333 0 00376094 0 00854760 0528 0528 0528 0528 0528 0528 0522 0514 0505 0495 0532 0532 0532 0532 0532 0526 0518 0510 0502 0494 0541 0541 0541 0541 0530 0521 0514 0507 0500 0493 0547 0547 0547 0537 0520 o o o o o o o o o 5 o o o o O 2051 2051 2051 2051 2051 2051 2031 2000 1969 1934 2065 2065 2065 2065 2065 2044 2014 1987 1960 1930 2097 2097
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