The theoretical basis underlying the physics of the Bohr-Mottelson collective model is considered at the algebraic level. It is shown how the irrotational-flow dynamics of Bohr-Mottelson type can be given a microscopic interpretation in the two-component proton-neutron shell-model theory of atomic nuclei within the framework of the proton-neutron symplectic model. Some simple examples that illustrate the theory are presented for the two nuclei Cd-110 and Ru-110, supposed to exhibit such an irrotational-flow dynamics. The ground state quadrupole irrotational-flow collectivity in these two nuclei is well described without the use of an effective charge.