Chapter 8. Differential Equations of Fluid Flow

8.0 Chapter Objectives

On completion of this chapter, a student should be able to:

  • Distinguish between different types of derivatives (partial derivative, total derivative, substantial derivative)

  • Distinguish and explain the differences between scalars, vectors, and tensors

  • Identify different fluid properties and parameters such as scalars, vectors, and tensors

  • Derive the equation of continuity for a volume element of fluid

  • Simplify the equation of continuity for steady-state systems and systems of constant density

  • Identify the equation of continuity in Cartesian, cylindrical, and spherical coordinates

  • Derive the equation of motion (momentum balance) for a volume element of fluid

  • Simplify the ...

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