Question

EXTRA CREDIT OoCA Compliance is actually defined as the rate at which vessel volume changes with respect to change in transmural pressure (pressure difference between interior and exterior of vessel), i.e. dV where V is the vessel volume and Ptm is the pressure difference between the vessel interior (at pressure P) and the vessel exterior (at pressure Pe). While compliance will generally decrease (become stiffer) as transmural pressure increases, it frequently changes slowly and, thus, can be considered constant over a (restricted) range of pressures. 1) Use this observation to show that where subscript 0 refers to the start of a constant C range. 2) Use a conservation balance to show that dt dt V,in v.inV,out i for a constant density fluid in a vessel with i inlets and j outlets.

Answer 1