heating-friction-area+variation
DESCRIPTION
kj guuugg gareere jookkTRANSCRIPT
K LHS RHS L-R A2/A1 T2/T1 D P02 P01 P02/P01 T19/19/2013 WFOB 3.457035 1 0.028927 12.919186343 446.6208 0.028927 500
5135 3.465091 1 0.028859 12.889151897 446.6208 0.028859 5003.473146 1 0.028792 12.859256775 446.6208 0.028792 500
3.481202 1 0.028726 12.829500009 446.6208 0.028726 5003.489 1 0.028662 12.800825059 446.6208 0.028662 500
STATION 1 1 STATION 2 2 g K 3.497337 1 0.028593 12.770311927 446.6208 0.028593 500RED=ASSUME P1= 400 P2= 400 1.4 0 A=M1/M2 1 3.505415 1 0.028527 12.740882153 446.6208 0.028527 500
T1= 500 T2= 500 B=T2/T1 1 3.513493 1 0.028462 12.711587713 446.6208 0.028462 500P01= 446.6208 P02= 447 C=A2/A1 1.000 3.521572 1 0.028396 12.682427673 446.6208 0.028396 500T01= 516 T02= 516 D=P2/P1 1.000 3.52965 1 0.028331 12.653401112 446.6208 0.028331 500M1= 0.4 M2= 0.4000 E=P02/P01 1.000 3.537729 1 0.028267 12.624507115 446.6208 0.028267 500A1= 0.1 A2= 0.100 F=T02/T01 1 3.545807 1 0.028202 12.595744776 446.6208 0.028202 500
3.553885 1 0.028138 12.567113198 446.6208 0.028138 500CONTINUITY FIRST LAW Q=cp(T02-T01) 3.561964 1 0.028074 12.53861149 446.6208 0.028074 500P1A1U1=P2A2U2 T2/T1=T02/T01*(1+(gamma-1)/2M1^2)/(1+(gamma-1)/2*M2^2) 3.570042 1 0.028011 12.510238771 446.6208 0.028011 500P2/P1=M1/M2*(T2/T1^0.5)*A1/A2 T2/T1= 1.0000 3.57812 1 0.027948 12.481994167 446.6208 0.027948 500P2/P1= 1.000 3.586199 1 0.027885 12.453876812 446.6208 0.027885 500
3.594277 1 0.027822 12.425885849 446.6208 0.027822 500MOMENTUM 3.602356 1 0.02776 12.398020427 446.6208 0.02776 500
LHS RHS3.610434 1 0.027698 12.370279704 446.6208 0.027698 500
LHS= 1-D*C+(.5*(D+1))*(C-1) T1= T01/((1+(gamma-1)/2*M1^2) 3.618512 1 0.027636 12.342662844 446.6208 0.027636 500RHS= (C*D*gamma*M2^2)-(gamma*M1^2)+(.5*K*gamma*M1^2) T1= 500.0 3.626591 1 0.027574 12.315169019 446.6208 0.027574 500LHS= 0 3.634669 1 0.027513 12.28779741 446.6208 0.027513 500RHS= 0 3.642748 1 0.027452 12.260547203 446.6208 0.027452 500
LHS-RHS= 0 ANSWER KEY!! Use goal seek to force to zero. 3.650826 1 0.027391 12.233417591 446.6208 0.027391 5003.658904 1 0.027331 12.206407778 446.6208 0.027331 5003.666983 1 0.02727 12.179516969 446.6208 0.02727 5003.675061 1 0.02721 12.152744382 446.6208 0.02721 5003.68314 1 0.027151 12.126089238 446.6208 0.027151 500
3.691218 1 0.027091 12.099550765 446.6208 0.027091 5003.699296 1 0.027032 12.073128201 446.6208 0.027032 5003.707375 1 0.026973 12.046820785 446.6208 0.026973 5003.715453 1 0.026915 12.020627769 446.6208 0.026915 5003.725306 1 0.026843 11.988833446 446.6208 0.026843 5003.733517 1 0.026784 11.962469251 446.6208 0.026784 5003.741731 1 0.026726 11.936206609 446.6208 0.026726 5003.74995 1 0.026667 11.910045023 446.6208 0.026667 500
3.758174 1 0.026609 11.883984 446.6208 0.026609 5003.766402 1 0.026551 11.858023051 446.6208 0.026551 5003.774634 1 0.026493 11.832161687 446.6208 0.026493 5003.78287 1 0.026435 11.806399423 446.6208 0.026435 500
3.791111 1 0.026377 11.780735775 446.6208 0.026377 5003.799356 1 0.02632 11.755170261 446.6208 0.02632 5003.807605 1 0.026263 11.729702404 446.6208 0.026263 5003.815859 1 0.026206 11.704331726 446.6208 0.026206 5003.824117 1 0.02615 11.679057754 446.6208 0.02615 5003.832378 1 0.026093 11.653880015 446.6208 0.026093 5003.840644 1 0.026037 11.62879804 446.6208 0.026037 5003.848915 1 0.025981 11.603811363 446.6208 0.025981 5003.857189 1 0.025926 11.578919517 446.6208 0.025926 5003.865467 1 0.02587 11.55412204 446.6208 0.02587 5003.873749 1 0.025815 11.529418473 446.6208 0.025815 5003.881986 1 0.02576 11.504956408 446.6208 0.02576 5003.890178 1 0.025706 11.480729165 446.6208 0.025706 5003.89837 1 0.025652 11.456603743 446.6208 0.025652 500
3.906562 1 0.025598 11.432579503 446.6208 0.025598 5003.914754 1 0.025544 11.408655808 446.6208 0.025544 5003.922946 1 0.025491 11.384832029 446.6208 0.025491 5003.931138 1 0.025438 11.361107542 446.6208 0.025438 5003.93933 1 0.025385 11.337481726 446.6208 0.025385 500
3.947522 1 0.025332 11.313953967 446.6208 0.025332 5003.955714 1 0.02528 11.290523657 446.6208 0.02528 5003.963906 1 0.025228 11.267190191 446.6208 0.025228 5003.972098 1 0.025176 11.24395297 446.6208 0.025176 5003.98029 1 0.025124 11.2208114 446.6208 0.025124 500
3.988482 1 0.025072 11.197764891 446.6208 0.025072 5003.998575 1 0.025009 11.169497655 446.6208 0.025009 5004.006925 1 0.024957 11.146224039 446.6208 0.024957 5004.015277 1 0.024905 11.123036756 446.6208 0.024905 5004.023634 1 0.024853 11.09993539 446.6208 0.024853 5004.031995 1 0.024802 11.076919526 446.6208 0.024802 5004.040359 1 0.02475 11.053988754 446.6208 0.02475 5004.048726 1 0.024699 11.031142663 446.6208 0.024699 5004.057098 1 0.024648 11.008380845 446.6208 0.024648 5004.065473 1 0.024597 10.985702896 446.6208 0.024597 5004.073852 1 0.024547 10.96310841 446.6208 0.024547 5004.082234 1 0.024496 10.940596988 446.6208 0.024496 5004.09062 1 0.024446 10.91816823 446.6208 0.024446 5004.09901 1 0.024396 10.895821737 446.6208 0.024396 500
4.107403 1 0.024346 10.873557115 446.6208 0.024346 5004.115799 1 0.024297 10.85137397 446.6208 0.024297 500
4.1242 1 0.024247 10.829271912 446.6208 0.024247 5004.132603 1 0.024198 10.80725055 446.6208 0.024198 5004.14101 1 0.024149 10.785309498 446.6208 0.024149 500
4.149421 1 0.0241 10.76344837 446.6208 0.0241 5004.157835 1 0.024051 10.741666783 446.6208 0.024051 5004.166253 1 0.024002 10.719964355 446.6208 0.024002 5004.174673 1 0.023954 10.698340708 446.6208 0.023954 5004.183098 1 0.023906 10.676795464 446.6208 0.023906 5004.191525 1 0.023858 10.655328248 446.6208 0.023858 5004.199956 1 0.02381 10.633938686 446.6208 0.02381 5004.208391 1 0.023762 10.612626407 446.6208 0.023762 5004.216828 1 0.023715 10.591391041 446.6208 0.023715 5004.225269 1 0.023667 10.570232221 446.6208 0.023667 5004.233714 1 0.02362 10.549149581 446.6208 0.02362 5004.242161 1 0.023573 10.528142758 446.6208 0.023573 5004.250612 1 0.023526 10.507211389 446.6208 0.023526 5004.259066 1 0.023479 10.486355115 446.6208 0.023479 5004.267523 1 0.023433 10.465573578 446.6208 0.023433 5004.275984 1 0.023386 10.444866421 446.6208 0.023386 5004.284447 1 0.02334 10.424233291 446.6208 0.02334 500
VARIABLE-AREA, VARIABLE-FRICTION MOMENTUM EQUATION with CONTINUITY AND 1ST LAW DRAG Force=K(A1)(1/2r1U1^2)
P1A1-P2A2=(mdot2)U2-(mdot1)U1+KA(1/2rU1^2)do algebra and insert U=M(gRT)^.5
K A2/A1 P02/P01