In a 2 D unsteady flow, the velocity field is given by V (BtAx)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 re...

i ANSWER This represents a possible incompressible flow The associated stream function is psiBt ...

In a 2-D unsteady flow, the velocity field is given by V=(BtAx)i^+Ayj^, and the temperature field is

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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