Rearranging Flow Length Equation for Lava Flows! Confusion!

Rearrange for Q:

L_{m = (3 x extension x S) }^{ (D x G x K ) }multiply everything in equation by Q^{1/2}

L_{m}= Flow length

S = Tensile Strength

D = Density

G = Gravity

K = Thermal diffusivity

Q = Flow/effusion rate

I am having a bit of trouble with the way I've rearranged this, as it does not fit my model. Just want to see if anyone gets the same rearrangement as myself.

THANKS!

Re: Rearranging Flow Length Equation for Lava Flows! Confusion!

Can you write the information in a more comprehensible, less lazy way?

1 Attachment(s)

Re: Rearranging Flow Length Equation for Lava Flows! Confusion!

Attachment 27515

I've attached the equation here.

I'm sorry, but I could not figure out how to write it correctly, especially on this. Everytime I uploaded it, it kept changing my spacing, etc.

Re: Rearranging Flow Length Equation for Lava Flows! Confusion!

Quote:

Originally Posted by

**marysmith** Rearrange for Q:

L_{m = (3 x extension x S) }^{ (D x G x K ) }multiply everything in equation by Q^{1/2}

L_{m}= Flow length

S = Tensile Strength

D = Density

G = Gravity

K = Thermal diffusivity

Q = Flow/effusion rate

I am having a bit of trouble with the way I've rearranged this, as it does not fit my model. Just want to see if anyone gets the same rearrangement as myself.

THANKS!

Quote:

Originally Posted by

**marysmith** Attachment 27515
I've attached the equation here.

I'm sorry, but I could not figure out how to write it correctly, especially on this. Everytime I uploaded it, it kept changing my spacing, etc.

Hi marysmith! :)

You can write you equation like this:

[TEX]L_m = \left[ \frac {3 \varepsilon S} {\rho g \kappa} \right]^{1/2} Q^{1/2}[/TEX]

$\displaystyle L_m = \left[ \frac {3 \varepsilon S} {\rho g \kappa} \right]^{1/2} Q^{1/2}$

I'm not sure I understand your question correctly.

It seems you want to isolate Q.

If that is the case, you can do:

$\displaystyle L_m = \left[ \frac {3 \varepsilon S} {\rho g \kappa} \right]^{1/2} Q^{1/2}$

$\displaystyle Q^{1/2} = \left[ \frac {\rho g \kappa} {3 \varepsilon S} \right]^{1/2} L_m$

$\displaystyle Q = \left[ \frac {\rho g \kappa} {3 \varepsilon S} \right] L_m^2$

Re: Rearranging Flow Length Equation for Lava Flows! Confusion!

Thank you so much ILikeSerena! I definitely was rearranging this incorrectly, and now I see where I went wrong.

Also, thanks for explaining how to properly enter the equations, not use to this stuff!

I needed it to enter it into a spreadsheet, and work out some estimate values.

Thank you so much!

Re: Rearranging Flow Length Equation for Lava Flows! Confusion!

All in good time I guess. ;)

I found it pretty useful to know this $\displaystyle \LaTeX$ stuff.

Nowadays, you find it everywhere.