\ Neumeyer Jr. Charles $3-<B d MbP?"*+_%1 Geneva1 Geneva1 Geneva1 Geneva1 Geneva&FPage &P&?'?(?)?Mz,,  } ce(,,(d'z` d@V General00.00#,##0 #,##0.00#,##0_);\(#,##0\)#,##0_);[Red]\(#,##0\)#,##0.00_);\(#,##0.00\)#,##0.00_);[Red]\(#,##0.00\)"$"#,##0_);\("$"#,##0\)"$"#,##0_);[Red]\("$"#,##0\) "$"#,##0.00_);\("$"#,##0.00\)%""$"#,##0.00_);[Red]\("$"#,##0.00\)0%0.00% 0.00E+00 #\ ?/? #\ ??/?? m/d/yy  d\-mmm\-yy d\-mmm mmm\-yy h:mm\ AM/PMh:mm:ss\ AM/PMh:mm h:mm:ss m/d/yy\ h:mm0.00.000        AL9F5B6EB8-& AL9F5C6EB8-& AL9F5D6EB8-& AL9F5E871C,) AL9F5F871C-*2 AL9F60871C-*2 AL9F61871C,) AL9F62871C-*2 AL9F63CC83-! AL9F64CC83+!cC C  C  C  C  C C C C C C C C C C C  C  C  C  C  C  C  C  C  C  C  C  C  $C  $C  $C  $œU } $ }  }  } I} I}  }   3X ,K0T-nlFQsXV \ { ]  U),co3ZDJ ,0,K0TN{jjw  i8J @XHeatingCooling UnitsFormulae Flow~ @@D GPM  .@ <D.@ <Din^3/sec =231/60*B2$\y@? D $\y@? D ft^3/sec=B3/12^3 Temperature~ u@~ b@ deg C  "@ D "r@ D  deg F =9/5*B5+32Density~ J@~ ?@lb/ft^3 (ref. 1)  Pipe OD~ ??D in   Pipe WallJ +?J +?D in   Pipe ID |?5^? DD |?5^? DD in =B8-2*B9 x&?D   x&?D   ft =B10/12 Pipe CSA" Qs&\??AD " Qs&\??AD  in^2  =PI()*B10^2/4  Viscosity~ 0@~ M@  cP (ref. 1)   Reynolds Number/ \ALI@DDD D /  u@LI@DDD D  Ref. 2, p.3-2, eq.3-3 =50.6*B2*B7/B10/B13Friction FactorV-?~ @Ref. 2, p.A-25   Path Length~ I@I@D ft  Velocity%)K8$@ DD  %)K8$@ DD  ft/sec =B3/B12/12 g~ @@~ @@ft/sec^2   Pressure Drop;{6@)DDDDD D;?=@)DDDDD D%psi (ref. 2, p. 1-6, eq. 1-4)'=B7*B15*B16*B17^2/144/B11/2/B18Power~ @~ j@ Watt   #Circuits~ (@(@D   Power/CircuitUUUUUɶ@ DDF@ DD Watt=B20/B21 Specific Heat^I +?oʡ?Btu/lb-degF (ref. 1)  (\@D> ףp~@D Joule/lb-degF =1055*B23 Mass Flow룡i? DDN ? DDlb/sec=B4*B7delta T }s:0K6@DDD *6s@@DDD deg F =B22/B25/B24yn(@ D 71@ D  deg C=B26*5/9Heating P (psi)Cooling P (psi) Flow (GPM){6@D?=@D~ @{@6&@?@~ @fJ)@|0@ h !D0"D #D$DF%D&D'D();*J+X ,D-D.D)/D3O0DD1D2D ~ @ {6@ ?=@~ !@!AA@!,6G@~ "@"fJI@"|P@~ #@#̋06Q@#wV@~ $ @${V@$?]@~ %"@%yՃs\@%3b@~ &$@&Aa@&,6g@''(Heating T (degC)(Cooling T (deg C)) Flow (GPM))yn(@D)71@D~ *@*yn8@*6*2@8*7A@*~ +@+oIc0@*+,7@*~ ,@,yn(@*,71@*~ -@-T #@*-i$E,@*~ .@.oIc @*.,'@*~ /@/-{@*/7 l$@*~ 0 @0yn@*07!@*~ 1"@1h3b`@*1<@*~ 2$@2T @*2i$E@*]:>];*>  6TB&FPage &P&?'?(?)? @301 Geneva1 Geneva1 GenevaJ 3 3 AL9F5B6EB8& AL9F5C6EB8&4 3 AL9F5D6EB8& AL9F5C6EB8&4J 3"  3*4 3*4% 3&  Flow (GPM)'4% @3&  delta P (psi)'4$%13'44%b#F 3& Pressure vs. Flow'44  ]:>]Osm+bZ  6B&FPage &P&?'?(?)? @301 Geneva1 Geneva1 Geneva,3 3 AL9F5E871C)) 12.3 AL9F5F871C*2 AL9F60871C*24 3 AL9F61871C)) 17.9 AL9F62871C*2 AL9F60871C*24,3"  03*403*4% 3&  Flow (GPM)'4% 3& delta T (deg C)'4$%13'44%4R3& !Temperature Drop/Rise vs. Flow'44  =  =$$$"