- #1
Dilman
- 7
- 0
Hi,I'd really appreciate any help on this as I've spent many many hours trying to get my head around it. I am simulating the vaporization of a droplet in hot air and I have two equations to use:
[itex]m_lc_l\frac{dT_l}{dt} = \widetilde{h}A_0(T_\infty - T_l) + \dot{m}_l(h_v-h_l)[/itex]
[itex]\dot{m_l} = -\frac{\pi d D_{AB}p}{R_vT_m}ln \left ( \frac{p-p_{v_{\infty}}} {p-p_{v_{0}}} \right ) \left(2 + 0.6Re_d^{1/2}Sc^{1/3} \right )[/itex]
They are coupled nonlinear - I want to get the droplet diameter, mass, temperature etc. as a function of time so I can graph them. I've tried using MATLAB (ode45 function) but I think I'm missing a fundamental piece of knowledge regarding the maths.
If anyone could summarize the steps needed to obtain the variables as a function of time I would really appreciate it! I'm not asking anyone to do the work for me!
[itex]m_lc_l\frac{dT_l}{dt} = \widetilde{h}A_0(T_\infty - T_l) + \dot{m}_l(h_v-h_l)[/itex]
[itex]\dot{m_l} = -\frac{\pi d D_{AB}p}{R_vT_m}ln \left ( \frac{p-p_{v_{\infty}}} {p-p_{v_{0}}} \right ) \left(2 + 0.6Re_d^{1/2}Sc^{1/3} \right )[/itex]
They are coupled nonlinear - I want to get the droplet diameter, mass, temperature etc. as a function of time so I can graph them. I've tried using MATLAB (ode45 function) but I think I'm missing a fundamental piece of knowledge regarding the maths.
If anyone could summarize the steps needed to obtain the variables as a function of time I would really appreciate it! I'm not asking anyone to do the work for me!