Question

5. Use dimensional analysis, and the FLT system to derive the Weber Number, $W$ $W = frac{F_I}{F_T} = frac{ ho v^2 L^2}{sigma L} = frac{ ho v^2 L}{sigma}$ egin{tabular}{|l|l|} hline Physical quantity/ property & FLT system: primary dimensions for BG units \ hline Velocity, $v$ & $LT^{-1}$ \ hline Length, $L$ & $L$ \ hline Density, $ ho$ & $FL^{-4}T^2$ \ hline Surface tension, $sigma$ & $FL^{-1}$ \ hline end{tabular} Hint: the three primary variables in a pi term relate to mass ($ ho$), kinematics ($v$), and geometry ($L$) of the flow situation.

          5. Use dimensional analysis, and the FLT system to derive the Weber Number, $W$
$W = frac{F_I}{F_T} = frac{
ho v^2 L^2}{sigma L} = frac{
ho v^2 L}{sigma}$

egin{tabular}{|l|l|}
hline
Physical quantity/
property & FLT system: primary
dimensions for BG units \
hline
Velocity, $v$ & $LT^{-1}$ \
hline
Length, $L$ & $L$ \
hline
Density, $
ho$ & $FL^{-4}T^2$ \
hline
Surface tension, $sigma$ & $FL^{-1}$ \
hline
end{tabular}

Hint: the three primary variables in a pi term relate to mass ($
ho$), kinematics ($v$), and
geometry ($L$) of the flow situation.

$5. Use dimensional analysis, and the FLT system to derive the Weber Number, W W = fracFIFT = frac ho v^2 L^2sigma L = frac ho v^2 Lsigma egintabular|l|l| hline Physical quantity/ property FLT system: primary dimensions for BG units hline Velocity, v LT^-1 hline Length, L L hline Density, ho FL^-4T^2 hline Surface tension, sigma FL^-1 hline endtabular Hint: the three primary variables in a pi term relate to mass (ho), kinematics (v), and geometry (L) of the flow situation.$

Added by Jennifer S.

Question

Please give Ace some feedback