If you interest about the heat transfer from / to the rotating cylinder, please notice:

https://www.researchgate.net/publication/311278595_Investigation_of_Heat_Transfer_and_Fluid_Mechanics_across_a_Heated_Rotating_Circular_Cylinder_in_Crossflow

https://www.researchgate.net/publication/309335286_Investigation_of_Heat_Transfer_and_Fluid_Mechanics_across_a_Heated_Rotating_Circular_Cylinder_in_Crossflow?_iepl%5BviewId%5D=OzDEywmAYRaJQ3TrFqqHjoZ9&_iepl%5BprofilePublicationItemVariant%5D=default&_iepl%5Bcontexts%5D%5B0%5D=prfpi&_iepl%5BtargetEntityId%5D=PB%3A309335286&_iepl%5BinteractionType%5D=publicationTitle

https://www.researchgate.net/publication/311063828_Experimental_and_Numerical_Investigation_of_Heat_Transfer_and_Fluid_Mechanics_across_a_Rotating_Circular_Cylinder_Dissipating_Uniform_Heat_Flux_by_Crossflow?_iepl%5BviewId%5D=OzDEywmAYRaJQ3TrFqqHjoZ9&_iepl%5BprofilePublicationItemVariant%5D=default&_iepl%5Bcontexts%5D%5B0%5D=prfpi&_iepl%5BtargetEntityId%5D=PB%3A311063828&_iepl%5BinteractionType%5D=publicationTitle

https://www.researchgate.net/publication/281639011_Experimental_and_Numerical_Investigation_of_Heat_Transfer_and_Fluid_Mechanics_across_a_Rotating_Circular_Cylinder_Dissipating_Uniform_Heat_Flux_by_Crossflow

If you interest about the cylinder with/ without heat transfer and focus on the hydrostatic characters please notice:

Conference Paper Investigation of Heat Transfer and Fluid Mechanics across a ...

Conference Paper Investigation of Heat Transfer and Fluid Mechanics across a ...

Article Experimental and Numerical Investigation of Heat Transfer an...

Conference Paper Experimental and Numerical Investigation of Heat Transfer an...

Thank you Vitalii

The proposed article studied the free vibration of a submerged cylinder vertically in the water.

My question was about a cylinder that is submerged horizontally and both bearings are out of the water.