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It is well known that continuum fluid flow is described at its most fundamental level by the Navier-Stokes equations, a system of nonlinear, second-order, partial differential equations. In spite of this solid foundation, the equations themselves are sufficiently difficult to understand and solve that they are often introduced only superficially in fluid-mechanics courses. Because it is difficult to connect mathematical theory to engineering practice, a differentialequation perspective is often perceived as “too mathematical,” or “too disconnected” to be of any value. It is our view that the differential-equation view does have value in facilitating the fundamental understanding of fluid flow, but it needs to be made accessible to the students with a reasonable level of effort. The intent of this paper is to describe how we have incorporated computational fluid dynamics (CFD) into fluid-mechanics courses, especially at the advanced levels.

Learning Differential Equation Aspects Of Fluid Mechanics With Spreadsheet Facilitated Computational Fluid Dynamics