Abstract
AbstractThe basic equations of fluid mechanics are derived in their differential form so that they are applicable to different areas where fluid flows need to be treated. Equations for mass, momentum and energy are explained. Compressibility considerations are presented for ideal gases and fluid mechanically ideal liquids. The momentum equation in its general form, containing the momentum transport term τij, are derived. From these, introducing the Newtonian viscosity relation, the Navier–Stokes equations are deduced. The mechanical energy equation is considered and the connection to the thermal energy equation is outlined. Detailed considerations of the Bernoulli equation are given for “incompressible” and for “compressible” fluids. The basic equations of fluid mechanics are given for different coordinate systems and also special forms of the equations are derived.
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