Given an incompressible 2d flow with x and z velocity given by u= alpha*x and w= beta* z
a) how are alpha and beta related?
b) if the initial positions (t=0) are given by x and z what are the fluid positions x, z in terms of x, z,t?
c) sketch the x, z fluid element trajectory d) express the velocity field in lagrangian coordinates.

Which best describes the first law of thermodynamics as compared to the second law of thermodynamics? a. the first law describes how thermal energy is conserved but not the direction it moves. b. the first law describes the direction thermal energy moves but not how it is conserved. c. the first law describes how thermal energy can be created but not how it can be destroyed. d. the first law describes how thermal energy can be destroyed but not how it can be created.