An Approximate Analytical Solution of Sloshing Frequencies for a Liquid in Various Shape Aqueducts

Table 2

The first three normalized antisymmetric and symmetric sloshing frequencies by [18] and present study Ω_𝑗=𝑎^′𝑏^′𝜔²_𝑗/𝑔,  (𝑗=1,2,3).

Unbaffled tank (𝑎^′=𝑎=1.0m,𝑏^′=0.2m)				Baffled tank (𝑎^′=1.0m,𝑏^′=0.2m,𝐿=0.05m)
Antisymmetric		Symmetric		Antisymmetric		Symmetric
Present study	[18]	Present study	[18]	Present study	[18]	Present study	[18]
Ω1 0.19866	0.19542	0.67487	0.66059	1.46170	1.43313	3.22321	3.21824
Ω2 1.34934	1.29511	2.12996	2.05458	4.83482	4.91081	6.44640	6.56741
Ω3 2.94933	2.84342	3.76968	3.58803	8.05800	8.21077	9.66961	9.84664