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Engineering
Materials and Chemical Engineering
Modelling of two phase flow in packed bed using conservation equations
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[QUOTE="casualguitar, post: 6562478, member: 695787"] Ahh I see my apologies, yes what I did above is right except I forgot to replace ##T## with the derivative ##\frac{dT}{dt}## on the right. Should it not be (adding in m below the line. I guess you're leaving it out for me to fill it in): $$C^*=\frac{[C_{PL}(T_{sat}-T_1)+\Delta h_{vap}+C_{PV}(T_2-T_{sat})]}{m(T_2-T_1)}$$ So m is constant outside the phase change zone. Inside the 'phase change' zone as you said its: $$m=\frac{V}{v_lX+\frac{RT_{sat}}{PM}(1-X)}$$ I think we want the bottom line (average specific volume) to linearly increase from ##v_l## to ##v_g## over the interval ##T1 \leq T \leq{T2}##, so we could just replace ##1-X## with ##\frac{T-T1}{T2-T1}##, to give: $$m=\frac{V}{v_l(1-\frac{T-T1}{T2-T1})+\frac{RT}{PM}(\frac{T-T1}{T2-T1})}$$ At ##T=T1## we are left with ##v_l## and at ##T=T2## we have ##v_g## How does this look? [/QUOTE]
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Materials and Chemical Engineering
Modelling of two phase flow in packed bed using conservation equations
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