11. Here, the projections are accomplished by the orthogonality of the solenoidal and irrotational function spaces. 12. Because the flow is irrotational , the wave motion can be described using potential flow theory. 13. In a simply connected open region, an irrotational vector field has the path-independence property. 14. For an irrotational flow, the flow velocity can be described as the gradient of a velocity potential. 15. An irrotational flow means the velocity field is conservative, or equivalently the vorticity pseudovector field is zero: 16. Here, we will use a inviscid and incompressible, and the flow is assumed to be irrotational . 17. In fluid dynamics, it is often referred to as a vortex-free or irrotational vector field. 18. Kelvin's circulation theorem states that a fluid that is irrotational in an inviscid flow will remain irrotational. 19. Kelvin's circulation theorem states that a fluid that is irrotational in an inviscid flow will remain irrotational . 20. Use is made of the fluid being incompressible and its flow is irrotational ( often, sensible approximations ).