Need for Looking Beyond the Navier–Stokes Equations

  • Amit Agrawal
  • Hari Mohan Kushwaha
  • Ravi Sudam Jadhav
Part of the Mechanical Engineering Series book series (MES)


The need for looking beyond the Navier–Stokes equations is addressed in this chapter through specific examples where these equations fail. We also examine some extensions of the Navier–Stokes equations, which have been recently proposed in the literature. Similarly, attempts to modify the Fourier law to account for non-Fourier effects are reviewed. An example of shock wave where these alternative forms of Navier–Stokes equations have been applied is also included.


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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Amit Agrawal
    • 1
  • Hari Mohan Kushwaha
    • 1
  • Ravi Sudam Jadhav
    • 1
  1. 1.Department of Mechanical EngineeringIndian Institute of Technology, BombayMumbaiIndia

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