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13 Nov 2019
Imagine you have a fluid whose density varies with respect to both time and location, Ï(x, y, z,t). Therefore along a single streamline, the velocity of the fluid is so Ï ot a. Show that in this case = + . â½p. b. Combine the above equation with the equation of continuity to show Ïâ½ u ot = 0. dt Note: Physically, is the rate of change of density with time along a streamline, whereasè¢is rate of change of density at a fixed point. For a steady state, =0, but that doesn't mean is zero. For an incompressible fluid, =0. Show that then . 0 c.
Imagine you have a fluid whose density varies with respect to both time and location, Ï(x, y, z,t). Therefore along a single streamline, the velocity of the fluid is so Ï ot a. Show that in this case = + . â½p. b. Combine the above equation with the equation of continuity to show Ïâ½ u ot = 0. dt Note: Physically, is the rate of change of density with time along a streamline, whereasè¢is rate of change of density at a fixed point. For a steady state, =0, but that doesn't mean is zero. For an incompressible fluid, =0. Show that then . 0 c.
Bunny GreenfelderLv2
27 Apr 2019