def CntCur(Q_d,Q_f,C_d,C_f,J_w,J_s,N,dP,Ccc,p_D,p_F):
for n in range(0,N-1):
J_w[n] = pse.wfe(J_w[n],k,D,C_d[n],C_f[n],S,B,A,dP[0],C_Vant,T,p_D,p_F)
J_s[n] = pse.sfe(J_w[n],k,D,C_d[n],C_f[n],S,B,A)
dP[n+1] = dP[n] - 0.5*0.01*f[n]*p_D*(u_d[n]**2)*(ds/d_h) #bar
Re[n+1] = (p_D*1000*u_d[n]*d_h)/mu
f[n+1] = a + b/(Re[n+1]**gma)
Q_d[n+1] = J_w[n]*ds + Q_d[n]
Q_f[n+1] = J_w[n]*ds + Q_f[n]
u_d[n+1] = (Q_d[n+1]/h_c)*(1/3.6E6)
C_d[n+1] = (-J_s[n]*ds + Q_d[n]*C_d[n])/Q_d[n+1]
C_f[n+1] = (-J_s[n]*ds + Q_f[n]*C_f[n])/Q_f[n+1]
p_D = pse.swden(C_d[n+1],T)/1000 #kg/L
p_F = pse.swden(C_f[n+1],T)/1000 #kg/L
if C_f[n+1] < -0.05:
Ccc = 1
return Q_d,Q_f,C_d,C_f,J_w,J_s,Ccc #means that countercurrent won't work (given current numerics)
#W[n+1] = (dP*(Q_d[n]-Q_d[0])/s_vec[n])/36
#Se[n+1] = ((dP*(Q_d[n]-Q_d[0]))/(Q_d[0]+Q_f[0]))/36 #kWh/m^3
#Mw[n+1] = (Q_d[n] * Se[n])/1e3 #in kW
J_w[N-1] = pse.wfe(J_w[N-1],k,D,C_d[N-1],C_f[N-1],S,B,A,dP[N-1],C_Vant,T,p_D,p_F)
J_s[N-1] = pse.sfe(J_w[N-1],k,D,C_d[N-1],C_f[N-1],S,B,A)
return Q_d,Q_f,C_d,C_f,J_w,J_s,Ccc
def CoCur(Q_d,Q_f,C_d,C_f,J_w,J_s,N,dP,p_D,p_F):
for n in range(0,N-1):
J_w[n] = pse.wfe(J_w[n],k,D,C_d[n],C_f[n],S,B,A,dP[n],C_Vant,T,p_D,p_F)
J_s[n] = pse.sfe(J_w[n],k,D,C_d[n],C_f[n],S,B,A)
dP[n+1] = dP[n] - 0.5*0.01*f[n]*p_D*(u_d[n]**2)*(ds/d_h) #bar
Re[n+1] = (p_D*1000*u_d[n]*d_h)/mu
f[n+1] = a + b/(Re[n+1]**gma)
Q_d[n+1] = J_w[n]*ds + Q_d[n]
Q_f[n+1] = -J_w[n]*ds + Q_f[n]
u_d[n+1] = (Q_d[n+1]/h_c)*(1/3.6E6)
C_d[n+1] = (-J_s[n]*ds + Q_d[n]*C_d[n])/Q_d[n+1]
C_f[n+1] = (J_s[n]*ds + Q_f[n]*C_f[n])/Q_f[n+1]
p_D = pse.swden(C_d[n+1],T)/1000 #kg/L
p_F = pse.swden(C_f[n+1],T)/1000 #kg/L
#W[n+1] = (dP*(Q_d[n]-Q_d[0])/s_vec[n])/36
#Se[n+1] = ((dP*(Q_d[n]-Q_d[0]))/(Q_d[0]+Q_f[0]))/36 #kWh/m^3
#Mw[n+1] = (Q_d[n] * Se[n])/1e3 #in kW
#if J_s[0,n] >= J_w[0,n]:
#break
J_w[N-1] = pse.wfe(J_w[N-1],k,D,C_d[N-1],C_f[N-1],S,B,A,dP[N-1],C_Vant,T,p_D,p_F)
J_s[N-1] = pse.sfe(J_w[N-1],k,D,C_d[N-1],C_f[N-1],S,B,A)
def CoCurMod(C_Vant,k,D,S,B,A,M_geometry,C_D,C_F,T,mu):
#M_geometry imports
a = M_geometry[0] #alpha
b = M_geometry[1] #beta
gma = M_geometry[2] #gamma
d_h = M_geometry[3]
h_c = M_geometry[4]
l_f = M_geometry[5]
A_m = M_geometry[6]
L_m = M_geometry[7]
Mpv = M_geometry[8]
p_D = pse.swden(C_D,T)/1000 #kg/L
p_F = pse.swden(C_F,T)/1000 #kg/L
Ld = A_m / L_m #m^2/m, represents linear density of membrane surface -> multiply Q values by this amount to get total flow capacity
#Number of elements
A_mt = A_m * Mpv #multiply area by number of elements per pressure vessel
L_mt = L_m * Mpv #multiply length by number of elements per pressure vessel
N = math.ceil((L_mt / l_f)/7)
s_vec = np.linspace(0,L_mt,N) #start at 0, increment to A_m and the length of the vector is N
ds = s_vec[2]-s_vec[1] #m^2
#Discretize
C_d = np.zeros((N,1)) #a 1 by N array
C_f = np.zeros((N,1))
Q_d = np.zeros((N,1))
Q_f = np.zeros((N,1))
J_w = np.zeros((N,1))
J_s = np.zeros((N,1))
f = np.zeros((N,1))
dP = np.zeros((N,1))
u_d = np.zeros((N,1))
Re = np.zeros((N,1))
#W = np.zeros((N,1))
#Se = np.zeros((N,1))
#Mw = np.zeros((N,1))
#Initialize
C_d[0] = C_D #g/kg Starting condition
C_f[0] = C_F #value at end - use to check - for now, do [0,0], next, move on to [0,N-1]
Q_d[0] = 12000/Ld #L/hr
Q_f[0] = 12000/Ld #L/hr
u_d[0] = (Q_d[0]/h_c)*(1/3.6E6) #m/s
#sys_in = pse.owfed(k,D,C_d[0],C_f[0],S,B,A,C_Vant,T,p_D,p_F)
dP[0] = (C_Vant*(T+273.15)*(p_D*C_D-p_F*C_F))/2 #bar - calculates maximum value for dP
Re[0] = (p_D*1000*u_d[0]*d_h)/mu
f[0] = a + b/(Re[0]**gma)
def CoCur(Q_d,Q_f,C_d,C_f,J_w,J_s,N,dP,p_D,p_F):
for n in range(0,N-1):
J_w[n] = pse.wfe(J_w[n],k,D,C_d[n],C_f[n],S,B,A,dP[n],C_Vant,T,p_D,p_F)
J_s[n] = pse.sfe(J_w[n],k,D,C_d[n],C_f[n],S,B,A)
dP[n+1] = dP[n] - 0.5*0.01*f[n]*p_D*(u_d[n]**2)*(ds/d_h) #bar
Re[n+1] = (p_D*1000*u_d[n]*d_h)/mu
f[n+1] = a + b/(Re[n+1]**gma)
Q_d[n+1] = J_w[n]*ds + Q_d[n]
Q_f[n+1] = -J_w[n]*ds + Q_f[n]
u_d[n+1] = (Q_d[n+1]/h_c)*(1/3.6E6)
C_d[n+1] = (-J_s[n]*ds + Q_d[n]*C_d[n])/Q_d[n+1]
C_f[n+1] = (J_s[n]*ds + Q_f[n]*C_f[n])/Q_f[n+1]
p_D = pse.swden(C_d[n+1],T)/1000 #kg/L
p_F = pse.swden(C_f[n+1],T)/1000 #kg/L
#W[n+1] = (dP*(Q_d[n]-Q_d[0])/s_vec[n])/36
#Se[n+1] = ((dP*(Q_d[n]-Q_d[0]))/(Q_d[0]+Q_f[0]))/36 #kWh/m^3
#Mw[n+1] = (Q_d[n] * Se[n])/1e3 #in kW
#if J_s[0,n] >= J_w[0,n]:
#break
J_w[N-1] = pse.wfe(J_w[N-1],k,D,C_d[N-1],C_f[N-1],S,B,A,dP[N-1],C_Vant,T,p_D,p_F)
J_s[N-1] = pse.sfe(J_w[N-1],k,D,C_d[N-1],C_f[N-1],S,B,A)
CoCur(Q_d,Q_f,C_d,C_f,J_w,J_s,N,dP,p_D,p_F)
#Adjust starting flows so that none of the Q_f is wasted
it = 1
#print('it = %s'%it)
while Q_f[N-1] >= 0:
Q_f[0] = Q_f[0] - (Q_f[N-1]/10)
Q_d[0] = Q_f[0]
u_d[0] = (Q_d[0]/h_c)*(1/3.6E6) #m/s
CoCur(Q_d,Q_f,C_d,C_f,J_w,J_s,N,dP,p_D,p_F)
it = it + 1
#print('it = %s'%it)
if J_s[0] >= J_w[0]:
break
if math.isclose(J_w[N-1],(0.05*J_w[0]),rel_tol = 0.25) == True or J_s[N-1] > 5*J_w[N-1]:
break
Q_f = np.multiply(Q_f,Ld) #scale Q by linear density
Q_d = np.multiply(Q_d,Ld)
W_avg = float((np.mean(dP)*(Q_d[N-1]-Q_d[0])/A_mt)/36) #W/m^2 - for system
J_w_avg = np.mean(J_w)
J_s_avg = np.mean(J_s)
#W3 = sys_in[1] - same as W2, just different form
Se_avg = float(((np.mean(dP)*(Q_d[N-1]-Q_d[0]))/(Q_d[0]+Q_f[0]))/36) #kWh/m^3
kw_gross = float((Q_d[N-1] * Se_avg)/1e3)
"""
W2 = float(J_w[0] * dP * (1/36)) #W/m^2 - max based on coupon scale system
print("CoCur system actual values: SE_avg = %f kWh/m^3,"%Se_avg,"kW_gross = %f kW,"%kw_gross,"W_avg = %f W/m^2"%W_avg )
#SE_gross = (W2*A_mt)/(Q_d[0]+Q_f[0]) #Q_m based - not really valid since A_mt won't have same W
Se_gross_max = float(((dP*Q_f[0])/(Q_d[0]+Q_f[0]))/36) #max for 100% transfer
#SE_gross3 = (W_avg*A_mt)/(Q_d[0]+Q_f[0]) #same as Se_avg
kw_gross_max = float((Q_d[N-1] * Se_gross_max)/1e3)
print("Cocur system max theoretical values: SE_max %f kWh/m^3,"%Se_gross_max,"kW_gross_max = %f kW,"%kw_gross_max,"W_coupon = %f W/m^2 (for coupon scale membrane)"%W2 )
print("Cocur % of max: SE =",((Se_avg/Se_gross_max)*100),"%, kW_gross = ",((kw_gross/kw_gross_max)*100),"%, W_avg = ",((W_avg/W2)*100),"%")
"""
return int(np.round(Q_f[0])),int(np.round(Q_d[0])),int(np.round(Q_f[N-1])),int(np.round(Q_d[N-1])),float(J_s[0]),float(J_w[0]),W_avg,Se_avg,kw_gross,float(C_f[N-1]),float(C_d[N-1]),float(J_w_avg),float(dP[0]),float(J_s_avg),float(dP[N-1])
def CntCurMod(C_Vant,k,D,S,B,A,M_geometry,C_D,C_F,T,mu):
CoCur = CoCurMod(C_Vant,k,D,S,B,A,M_geometry,C_D,C_F,T,mu)
#M_geometry imports
a = M_geometry[0] #alpha
b = M_geometry[1] #beta
gma = M_geometry[2] #gamma
d_h = M_geometry[3]
h_c = M_geometry[4]
l_f = M_geometry[5]
A_m = M_geometry[6]
L_m = M_geometry[7]
Mpv = M_geometry[8]
Ld = A_m / L_m #m^2/m, represents linear density of membrane surface -> multiply Q values by this amount to get total flow capacity - equivalent to hm - membrane height
if CoCur[4] > CoCur[5]:
SysCon = 0
#Tuple contains Q_f[end],Q_d[end],Q_f[start],Q_d[start],W_avg,Se_avg,kw_gross,C_f[end],C_d[end],J_w_avg,dP[0],J_s_avg,SysCon,dP[end]
return CoCur[2],CoCur[3],CoCur[0],CoCur[1],CoCur[6],CoCur[7],CoCur[8],CoCur[9],CoCur[10],CoCur[11],CoCur[12],CoCur[13],SysCon,CoCur[14]
A_mt = A_m * Mpv #multiply area by number of elements per pressure vessel
L_mt = L_m * Mpv #multiply length by number of elements per pressure vessel
N = math.ceil((L_mt / l_f)/7)
s_vec = np.linspace(0,L_mt,N) #start at 0, increment to A_m and the length of the vector is N
ds = s_vec[2]-s_vec[1] #m^2
Ccc = 0 #CoCurrent Check - if 1, then return Cocurrent numbers
#Discretize
p_D = pse.swden(C_D,T)/1000 #kg/L
p_F = pse.swden(C_F,T)/1000 #kg/L
C_d = np.zeros((N,1)) #a 1 by N array
C_f = np.zeros((N,1))
Q_d = np.zeros((N,1))
Q_f = np.zeros((N,1))
J_w = np.zeros((N,1))
J_s = np.zeros((N,1))
f = np.zeros((N,1))
dP = np.zeros((N,1))
u_d = np.zeros((N,1))
Re = np.zeros((N,1))
#W = np.zeros((N,1))
#Se = np.zeros((N,1))
#Mw = np.zeros((N,1))
#Initialize
C_fchk = C_F #final C_f value should be this
Q_fchk = (2*CoCur[0])/Ld #final Q_f value should be this - set to beginning Qf value from cocurrent
"""
C_fchk = C_F #final C_f value should be this
Q_fchk = 12000 #final Q_f value should be this
C_d[0] = C_D #g/kg Starting condition
C_f[0] = 2.8
Q_d[0] = 12000 #L/hr
Q_f[0] = 294 #L/hr
"""
C_d[0] = C_D #g/kg Starting condition
C_f[0] = CoCur[9] #set to final CF value from cocurrent
Q_d[0] = 2*CoCur[1]/Ld #L/hr set to initial QD value from cocurrent
u_d[0] = (Q_d[0]/h_c)*(1/3.6E6) #m/s
Q_f[0] = CoCur[2]/Ld #L/hr set to final QF value from cocurrent
#sys_in = pse.owfed(k,D,C_d[0],C_fchk,S,B,A,C_Vant,T,p_D,p_F)
#dP = sys_in[2] #bar
#dP = CoCur[12] #bar
p_F = pse.swden(C_f[0],T)/1000 #kg/L #for starting feed density
dP[0] = (C_Vant*(T+273.15)*(p_D*C_D-p_F*C_F))/2
Re[0] = (p_D*1000*u_d[0]*d_h)/mu
f[0] = a + b/(Re[0]**gma)
def CntCur(Q_d,Q_f,C_d,C_f,J_w,J_s,N,dP,Ccc,p_D,p_F):
for n in range(0,N-1):
J_w[n] = pse.wfe(J_w[n],k,D,C_d[n],C_f[n],S,B,A,dP[0],C_Vant,T,p_D,p_F)
J_s[n] = pse.sfe(J_w[n],k,D,C_d[n],C_f[n],S,B,A)
dP[n+1] = dP[n] - 0.5*0.01*f[n]*p_D*(u_d[n]**2)*(ds/d_h) #bar
Re[n+1] = (p_D*1000*u_d[n]*d_h)/mu
f[n+1] = a + b/(Re[n+1]**gma)
Q_d[n+1] = J_w[n]*ds + Q_d[n]
Q_f[n+1] = J_w[n]*ds + Q_f[n]
u_d[n+1] = (Q_d[n+1]/h_c)*(1/3.6E6)
C_d[n+1] = (-J_s[n]*ds + Q_d[n]*C_d[n])/Q_d[n+1]
C_f[n+1] = (-J_s[n]*ds + Q_f[n]*C_f[n])/Q_f[n+1]
p_D = pse.swden(C_d[n+1],T)/1000 #kg/L
p_F = pse.swden(C_f[n+1],T)/1000 #kg/L
if C_f[n+1] < -0.05:
Ccc = 1
return Q_d,Q_f,C_d,C_f,J_w,J_s,Ccc #means that countercurrent won't work (given current numerics)
#W[n+1] = (dP*(Q_d[n]-Q_d[0])/s_vec[n])/36
#Se[n+1] = ((dP*(Q_d[n]-Q_d[0]))/(Q_d[0]+Q_f[0]))/36 #kWh/m^3
#Mw[n+1] = (Q_d[n] * Se[n])/1e3 #in kW
J_w[N-1] = pse.wfe(J_w[N-1],k,D,C_d[N-1],C_f[N-1],S,B,A,dP[N-1],C_Vant,T,p_D,p_F)
J_s[N-1] = pse.sfe(J_w[N-1],k,D,C_d[N-1],C_f[N-1],S,B,A)
return Q_d,Q_f,C_d,C_f,J_w,J_s,Ccc
CntCur(Q_d,Q_f,C_d,C_f,J_w,J_s,N,dP,Ccc,p_D,p_F)
if Ccc == 1:
SysCon = 0
#Tuple contains Q_f[end],Q_d[end],Q_f[start],Q_d[start],W_avg,Se_avg,kw_gross,C_f[end],C_d[end],J_w_avg,dP[0],J_s_avg, SysCon,dP[end]
return CoCur[2],CoCur[3],CoCur[0],CoCur[1],CoCur[6],CoCur[7],CoCur[8],CoCur[9],CoCur[10],CoCur[11],CoCur[12],CoCur[13],SysCon,CoCur[14]
it = 1
#it2 = 1
#print('it2 = %s'%it2)
#print("almost done")
while math.isclose(C_f[N-1],C_fchk,rel_tol = 0.1) == False\
and math.isclose(Q_f[N-1],Q_fchk,rel_tol = 0.5) == False:
C_f[0] = C_f[0] + ((C_fchk - C_f[N-1])/2)
p_F = pse.swden(C_f[0],T)/1000 #kg/L #for starting feed density
Q_f[0] = Q_f[0] + ((Q_fchk - Q_f[N-1])/10)
u_d[0] = (Q_d[0]/h_c)*(1/3.6E6) #m/s
CntCur(Q_d,Q_f,C_d,C_f,J_w,J_s,N,dP,Ccc,p_D,p_F)
it = it + 1
#print('it = %s'%it)
if math.isclose(C_f[N-1],C_fchk,rel_tol = 0.1) == True\
and math.isclose(Q_f[N-1],Q_fchk,rel_tol = 0.5) == True:
it = 0
break
"""
while Q_f[0] >= 0:
Q_fchk = Q_f[N-1] - Q_f[0]
Q_d[0] = Q_fchk
print('it2 = %s'%it2)
it2 = it2 + 1
while C_f[N-1] != C_fchk and Q_f[N-1] != Q_fchk:
C_f[0] = C_f[0] + ((C_fchk - C_f[N-1])/2)
Q_f[0] = Q_f[0] + ((Q_fchk - Q_f[N-1])/10)
CntCur(Q_d,Q_f,C_d,C_f,J_w,J_s,N,dP,Ccc)
it = it + 1
print('it = %s'%it)
if (math.isclose(C_f[N-1],C_fchk,rel_tol = 0.1) == True\
and math.isclose(Q_f[N-1],Q_fchk,rel_tol = 1) == True) or\
math.isclose(J_w[N-1],0.5,rel_tol = 0.20) == True or J_s[N-1] > 5*J_w[N-1]\
or math.isclose((Q_f[0]/Q_f[N-1]),0.01,rel_tol = 1) == True:
it = 0
break
if math.isclose(J_w[N-1],0.5,rel_tol = 0.20) == True or J_s[N-1] > 5*J_w[N-1]\
or math.isclose((Q_f[0]/Q_f[N-1]),0.01,rel_tol = 1) == True:
break
"""
#print('done')
Q_f = np.multiply(Q_f,Ld) #scale Q by linear density
Q_d = np.multiply(Q_d,Ld)
W_avg = float((np.mean(dP)*(Q_d[N-1]-Q_d[0])/A_mt)/36) #W/m^2 - for system
#W3 = sys_in[1] - same as W2, just different form
J_w_avg = np.mean(J_w)
J_s_avg = np.mean(J_s)
Se_avg = float(((np.mean(dP)*(Q_d[N-1]-Q_d[0]))/(Q_d[0]+Q_f[N-1]))/36) #kWh/m^3
kw_gross = float((Q_d[N-1] * Se_avg)/1e3)
"""
W2 = float(J_w[0] * dP * (1/36)) #W/m^2 - max based on coupon scale system
#W3 = sys_in[1] - same as W2, just different form
kw_gross2 = (W_avg * A_mt)/1000 #should be in Kw - makes more sense - use this one - more representative of gross
print("system actual values: SE_avg = %f kWh/m^3,"%Se_avg,"kW_gross = %f kW,"%kw_gross2,"W_avg = %f W/m^2"%W_avg )
#SE_gross = (W2*A_mt)/(Q_d[0]+Q_f[0]) #Q_m based - not really valid since A_mt won't have same W
Se_gross_max = float(((dP*Q_f[N-1])/(Q_d[0]+Q_f[N-1]))/36) #max for 100% transfer
Se_gross_max2 = float(((dP)/36)) #max for 100% transfer
#SE_gross3 = (W_avg*A_mt)/(Q_d[0]+Q_f[N-1]) #same as Se_avg
kw_gross_max = float((Q_d[N-1] * Se_gross_max)/1e3)
#kw_gross_max2 = (W2*A_mt)/1000
print("system max theoretical values: SE_max %f kWh/m^3,"%Se_gross_max,"kW_gross_max = %f kW,"%kw_gross_max,"W_coupon = %f W/m^2 (for coupon scale membrane)"%W2 )
print("% of max: SE =",(Se_avg/Se_gross_max),"%, kW_gross = ",(kw_gross/kw_gross_max),"%, W_avg = ",(W_avg/W2),"%")
"""
SysCon = 1
return int(np.round(Q_f[0])),int(np.round(Q_d[N-1])),int(np.round(Q_f[N-1])),int(np.round(Q_d[0])),W_avg,Se_avg,kw_gross,float(C_f[0]),float(C_d[N-1]),J_w_avg,float(dP[0]),J_s_avg,SysCon,float(dP[N-1])