- #1
member 428835
Hi PF!
There is a paper I'm reading about fluid that is sloshed in a rectangular channel, where the width is ##x##, the length of of the channel is ##z##, and the channel height ##y##. The paper reads: "All further discussion will be carried out in dimensionless variables, choosing the half-width ##l## of the channel as the characteristic dimension. Then in Cartesian coordinates the region ##\Omega## occupied by the fluid in the equilibrium state is determined by the inequalities $$-1<x<1,\,\,\,\,h\leq y \leq \Gamma(x)$$ where ##h## is the depth of the fluid and ##y =\Gamma(x)## is the equation for the surface."
My question is, is ##h## dimensionless? Later in the paper ##h## is a parameter, but when comparing to an experiment, is ##h## dimensional?
There is a paper I'm reading about fluid that is sloshed in a rectangular channel, where the width is ##x##, the length of of the channel is ##z##, and the channel height ##y##. The paper reads: "All further discussion will be carried out in dimensionless variables, choosing the half-width ##l## of the channel as the characteristic dimension. Then in Cartesian coordinates the region ##\Omega## occupied by the fluid in the equilibrium state is determined by the inequalities $$-1<x<1,\,\,\,\,h\leq y \leq \Gamma(x)$$ where ##h## is the depth of the fluid and ##y =\Gamma(x)## is the equation for the surface."
My question is, is ##h## dimensionless? Later in the paper ##h## is a parameter, but when comparing to an experiment, is ##h## dimensional?
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