Recent content by Dilman

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    How to Model Droplet Vaporization Using Coupled Non-linear Equations?

    I've gone through the steps of derivation and I feel like I understand the whole thing much more now! Can anybody tell me if Nu, B_T, L and Pr should be evaluated at a reference temperature (e.g. Hubbard 1/3 rule: T_r = T_l + (1/3)(T_g - T_l)) or if they have to be dynamic functions of...
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    How to Model Droplet Vaporization Using Coupled Non-linear Equations?

    Excellent help thank you all so much!
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    How to Model Droplet Vaporization Using Coupled Non-linear Equations?

    Thanks for the responses. I'm not really sure which formula I need to integrate to get m(t)? I replaced dm/dt in the temperature equation so I have everything in terms of T and m: \frac{dT_l}{dt} = \frac{{}\widetilde{h}A_0(T_\infty - T_l) -\left (2\pi \rho _gD_g\left ( \frac{3m_l}{4\pi...
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    How to Model Droplet Vaporization Using Coupled Non-linear Equations?

    So if I take the equations and combine density and other parameters into a single constant A, I have... \frac{dr_S}{dt} = -\frac{\dot{m}}{Ar_s^{2}} ...which is the first equation. So I then use my m_dot equation to get an actual value for m_dot? I'm worried that m_dot is dynamic and changes...
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    How to Model Droplet Vaporization Using Coupled Non-linear Equations?

    Thank you for your response! I really appreciate it. I am getting really into this work (it's for an important project) but as it is the holidays I cannot ask for assistance from my supervisor. I have attached an image of the process I think is correct. I would really appreciate it if you...
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    How to Model Droplet Vaporization Using Coupled Non-linear Equations?

    Hey, the second equation is formed via simplification of the equation below (I think): \frac{dm_l}{dt} = \left ( \frac{\rho _l \pi d^3}{2} \right )\frac{d(d)}{dt} + \left ( \frac{\pi d^3}{6} \right )\frac{d\rho_{l}}{dT_l}\frac{dT_l}{dt} I believe this equation and... m_lc_l\frac{dT_l}{dt} =...
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    How to Model Droplet Vaporization Using Coupled Non-linear Equations?

    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: m_lc_l\frac{dT_l}{dt} = \widetilde{h}A_0(T_\infty - T_l) + \dot{m}_l(h_v-h_l) \dot{m_l} = -\frac{\pi...
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