srikanthan

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These are replies submitted by srikanthan

@Preben Alsholm Thanks for the help. I forgot to mention those things. thetaw must be greater than 1 and R must be greater than equal to 0. Can you try now?

@Preben Alsholm 
P := 0.7952865489: Q := 1.239340734: S4 := 1.007143462:S0 := 0.8330195568:S1 := 0.8330195568: S2 := 1.087762421: Pr := 0.0157*2415/0.252: n=3: lambda:=20: Qc:=2: c:=0.5: 

sys:= P*diff(f(eta), eta, eta, eta)/Q + lambda*theta(eta)*(S0 + S1*Qc*theta(eta)) + (n + 1)/2*(f(eta) + g(eta))*diff(f(eta), eta, eta) - n*diff(f(eta), eta)*(diff(f(eta), eta) + diff(g(eta), eta)) = 0, P*diff(g(eta), eta, eta, eta)/Q + (n + 1)/2*(f(eta) + g(eta))*diff(g(eta), eta, eta) - n*diff(g(eta), eta)*(diff(f(eta), eta) + diff(g(eta), eta)) = 0, (S2 - 2*R)*diff(theta(eta), eta, eta)/(S4*Pr) + (3*R)/(2*S4*Pr*(thetaw - 1))*diff((1 + (thetaw - 1)*theta(eta))^2, eta, eta) + (n + 1)/2*(f(eta) + g(eta))*diff(theta(eta), eta) = 0:

bcs:= f(0) = 0, g(0) = 0, theta(0) = 1, D(f)(0) = 1, D(g)(0) = c, D(f)(3) = 0, D(g)(3) = 0, theta(3) = 0 

 

@Preben Alsholm 
The equation is just a random one. Actual my equation is different one. Its a lengthy one and has too much parameters. I have system of 3 ordinary differential equations with boundary condition and 2 parameters are involved in that. I need to see how those two parameter are related at some point. 
My equations are 
 

P*diff(f(eta), eta, eta, eta)/Q + lambda*theta(eta)*(S0 + S1*Qc*theta(eta)) + (n + 1)/2*(f(eta) + g(eta))*diff(f(eta), eta, eta) - n*diff(f(eta), eta)*(diff(f(eta), eta) + diff(g(eta), eta)) = 0, P*diff(g(eta), eta, eta, eta)/Q + (n + 1)/2*(f(eta) + g(eta))*diff(g(eta), eta, eta) - n*diff(g(eta), eta)*(diff(f(eta), eta) + diff(g(eta), eta)) = 0, (S2 - 2*R)*diff(theta(eta), eta, eta)/(S4*Pr) + (3*R)/(2*S4*Pr*(thetaw - 1))*diff((1 + (thetaw - 1)*theta(eta))^2, eta, eta) + (n + 1)/2*(f(eta) + g(eta))*diff(theta(eta), eta) = 0, f(0) = 0, g(0) = 0, theta(0) = 1, D(f)(0) = 1, D(g)(0) = c, D(f)(3) = 0, D(g)(3) = 0, theta(3) = 0

I need to plot the contour plot for R vs thetaw at D(theta)(0). For other terms I have different values and calculations.

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