Abstract
The laws governing fluid motion are based on conservation of mass, momentum, and energy. For the Eulerian description of fluid motion, these three conservation laws are coupled nonlinear partial differential equations. However, to produce a potentially solvable set of equations, a constitutive relationship must be specified. For many commonly encountered fluids, the simplest possible Newtonian viscosity law – a linear relationship between the stress and strain-rate tensors involving only two material constants – is appropriate. When supplemented by two thermodynamic relationships, such as caloric and thermal equations of state, the number of equations matches the number of unknown dependent field quantities. Thus, with the specification of appropriate boundary conditions, the overall system of equations can in principle be solved even in noninertial coordinate systems. When the equations of fluid motion are cast in dimensionless form, the dimensionless parameters (or numbers) commonly used to specify fluid flow conditions appear as coefficients of dimensionless terms in the equations. Although analytical solutions to the full set of equations are uncommon, the equations of fluid motion can be simplified, and are easier to solve, under certain circumstances.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
