- #1
Larrytsai
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Determine which of the following equations are dimensionally homogeneous. Show
your work
ΔP/Q = 17L(μ)/(w^4)
where ΔP is the pressure drop in a channel of triangular cross-section, Q is the
volumetric flowrate, L is the channel length, μ is the fluid viscosity, and 2w is the
length of one side of the trianglei have
ΔP = F/A = ML(T^-2)
Q = volume/seconds = (L^3)/T
so...
ΔP/Q = M(T^-1)(L^-4)
For the other side of the equation I do not know how to deal with fluid viscosity and do I ignore the 17?
your work
ΔP/Q = 17L(μ)/(w^4)
where ΔP is the pressure drop in a channel of triangular cross-section, Q is the
volumetric flowrate, L is the channel length, μ is the fluid viscosity, and 2w is the
length of one side of the trianglei have
ΔP = F/A = ML(T^-2)
Q = volume/seconds = (L^3)/T
so...
ΔP/Q = M(T^-1)(L^-4)
For the other side of the equation I do not know how to deal with fluid viscosity and do I ignore the 17?
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