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- W3022304422 abstract "Publisher SummaryThis chapter focuses on the conservation laws that govern the general fluid movement. The basis of the conservation of mass principle for fluid mechanics is that mass can neither be created nor destroyed within the volume or system of interest. If the inflow mass flow rate is not balanced by the outflow mass flow rate, then there will be a change in volume or density within the volume of interest. If the inflow mass flow rate exceeds the outflow mass flow rate, mass will accumulate within the system. If the reverse scenario is true, mass will be removed from the system. The Bernoulli equation is a useful formula that relates the hydrostatic pressure, the fluid height, and the speed of a fluid element. However, there are a few important assumptions that are made to derive this formula, which reduces the application of this powerful equation in many biofluid mechanics applications. The Bernoulli equation can approximate the real flow situation reasonably well. To derive this equation, the conservation of mass and conservation of momentum equations are simplified by making the assumptions that the flow is steady, incompressible, and invisicid. Thus this system is only valid for steady, incompressible, and invisicid flows." @default.
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- W3022304422 date "2012-01-01" @default.
- W3022304422 modified "2023-09-28" @default.
- W3022304422 title "Conservation Laws" @default.
- W3022304422 doi "https://doi.org/10.1016/b978-0-12-381383-1.00003-5" @default.
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