A flow field is represented by the potential function Determine the following: (x, y) = x6...

 

Transcribed Image Text:

A flow field is represented by the potential function Determine the following: (x, y) = x6 - 15x4y + 15xy4 y i. The velocity components u(x, y) and v(x, y); ii. Whether the flow satisfy the mass conservation equation; iii. Whether the flow is rotational or irrotational; iv. The velocity magnitude, V(x, y); v. The streamfunction, (x, y); vi. Pressure different between the origin (x, y) = (0, 0) m and point (x, y) = (0, 1.5) m. Take the density as constant. A flow field is represented by the potential function Determine the following: (x, y) = x6 - 15x4y + 15xy4 y i. The velocity components u(x, y) and v(x, y); ii. Whether the flow satisfy the mass conservation equation; iii. Whether the flow is rotational or irrotational; iv. The velocity magnitude, V(x, y); v. The streamfunction, (x, y); vi. Pressure different between the origin (x, y) = (0, 0) m and point (x, y) = (0, 1.5) m. Take the density as constant.