Given the following steady, two-dimensional velocity field. [Diberi medan halaju yang mantap dan dua dimensi.] V = (u, v) = (6x + 4y – 2)ĩ + (-6y + 4x – 5)j Is this flow field an incompressible flow? Prove your answer. [Adakah medan halaju ini adalah aliran tidak boleh mampat? Buktikan jawapan anda.] (i) Is this flow field irrotational? Prove your answer. [Adakah medan halaju ini adalah aliran tidak berputar? Buktikan jawapan anda.] (ii) (iii) Generate an expression for the velocity potential function if applicable. [Terbitkan satu ungkapan bagi fungsi keupayaan halaju jika boleh dilakukan.]

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Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.