• In a 2-D unsteady flow, the velocity field is given by V=(Bt–Ax)i^+Ayj^, and the temperature field is given by T=Ctx+Dy, where A, B, C, and D are constants (in appropriate units). 

  • (i) Does this represent a possible incompressible flow? If yes, then find the associated stream function psi. If no, give reasons why the flow is not incompressible. (2 marks) 
  • (ii) Does this represent a possible irrotational flow? If yes, then find the associated velocity potential φ. If no, give reasons why the flow is not irrotational. (2 marks) 
  • (iii) Find the acceleration of a fluid particle located at (1,1) at time t=1. (4 marks) (iv) Find the rate of change of temperature of a fluid particle located at (1,1) at t=1