Governing Equations for Aerodynamics and Acoustics



Fluid dynamical governing equations are given by the conservation principles of mass, momentum, and energy as noted in Chap.  1. Although the Navier–Stokes equation is an application of Newton’s second law for fluid flows, one also assumes the relation between the stress and the rate of strain tensor. There are many versions of Navier–Stokes equation (NSE), depending upon the constitutive relation of the fluid medium. In the following, we will focus mainly on what is known as Newtonian fluid, for which the stress and rate of strain have linear relation.


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© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Department of Aerospace EngineeringIndian Institute of Technology KanpurKanpurIndia
  2. 2.School of Mechanical SciencesIndian Institute of Technology BhubaneswarBhubaneswarIndia

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