- #1
raultrigo
- 2
- 0
Modelling a solid bed cooled by an uprising gas flow gave the following system of 1st order NONLINEAR PDEs
dv/dt + f(t) * dv/dx = h*(u-v)
du/dt = -h*(u-v)
BC
v(x=0,t) = 0
dv/dx(x=1,t)=0
IC
u(x,t=0) = 1
where:
u, v are temperatures function of (x,t) range [0,1]
f is a variable gas velocity function of (t)
h is a constant heat transfer coeff
x is a length meassure [0,1]
t is time [0,infinite]
I would appreciate any help on this matter, thank you,
dv/dt + f(t) * dv/dx = h*(u-v)
du/dt = -h*(u-v)
BC
v(x=0,t) = 0
dv/dx(x=1,t)=0
IC
u(x,t=0) = 1
where:
u, v are temperatures function of (x,t) range [0,1]
f is a variable gas velocity function of (t)
h is a constant heat transfer coeff
x is a length meassure [0,1]
t is time [0,infinite]
I would appreciate any help on this matter, thank you,
Last edited:
