emmkell

0 Reputation

2 Badges

14 years, 40 days

MaplePrimes Activity


These are answers submitted by emmkell

Hi, here is the imported data:

 

ra = 0.002 m

rb = 0.0064 m

rho = 200 kg/m³

Cp = 2700 J/kgK

k = 0.07 W/mK

alpha (diffusivity) = 1.2414x10^-7 m²/s

Ta = 190°C

Tamb = 20°C

t = 10

h = ?

 

Thanks!

I am actually trying to model a short hollow cylinder with the following boundary conditions:

 

(Theta = T - Tambient)

 

Theta(r,0)=Theta_i             r_a < r < r_b, t = 0              %(initial condition)

Theta(r_a,t)=Theta_a  @ r = r_a, t >0                            %(fixed temperature on inner surface) 

dTheta (r,t)/dr=-(h/k)*(Theta(r_b, t)) @ r = r_b, t > 0     %(convective boundary conditions on outer curved surface)

dTheta (z,t)/dz = -(h/k)*(Theta(z, t))  @ z = 0, t > 0  

dTheta (z,t)/dz = -(h/k)*(Theta(z, t))  @ z = L, t > 0      % (convective boundary conditions on both end surfaces)

 

I had been previously successfully using the PDE solver to model heat transfer in an annulus in 1D space and time [T(r,t)]

Thank you for your help! I now see that Maple's PDE solver only allows 2 independent variables for a numerical solution. I wonder is there a way around this or does it require me to write my own PDE solver?

Page 1 of 1