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What are the key assumptions underlying the Navier-Stokes equations?

The key assumptions underlying the Navier-Stokes equations are that the fluid is continuous, incompressible, and viscous. These equations also assume that the flow is steady and that the forces acting on the fluid are balanced.


What is the relationship between the energy equation and the Navier-Stokes equations in fluid dynamics?

In fluid dynamics, the energy equation and the Navier-Stokes equations are related because the energy equation describes how energy is transferred within a fluid, while the Navier-Stokes equations govern the motion of the fluid. The energy equation accounts for the effects of viscosity and heat transfer on the fluid flow, which are also considered in the Navier-Stokes equations. Both equations are essential for understanding and predicting the behavior of fluids in various situations.


What has the author Barry Koren written?

Barry Koren has written: 'Multigrid and defect correction for the steady Navier-Stokes equations' -- subject(s): Numerical solutions, Aerodynamics, Lagrange equations, Navier-Stokes equations, Mathematical models


What has the author B D Semeraro written?

B. D. Semeraro has written: 'Solution of the Navier-Stokes equations for a driven cavity' -- subject(s): Numerical solutions, Cavities (Airplanes), Navier-Stokes equations


What has the author Vivette Girault written?

Vivette Girault has written: 'Finite element approximation of the Navier-Stokes equations' -- subject(s): Finite element method, Navier-Stokes equations, Numerical solutions, Viscous flow, Instrumentation, Airway (Medicine), Methods, Respiratory Therapy, Cardiopulmonary Resuscitation, Trachea, Airway Obstruction, Intubation, Therapy, Airway Management 'Finite element methods for Navier-Stokes equations' -- subject(s): Finite element method, Navier-Stokes equations, Numerical solutions, Viscous flow


What has the author Naruhisa Takashima written?

Naruhisa Takashima has written: 'Navier-Stokes computations of a viscous optimized waverider' -- subject(s): Fluid dynamics, Navier-Stokes equations


What has the author Moshe Israeli written?

Moshe Israeli has written: 'Marching iterative methods for the parabolized and thin layer Navier-Stokes equations' -- subject(s): Iterative solution, Navier-Stokes equation


What has the author M M Rai written?

M. M. Rai has written: 'Three-dimensional Navier-Stokes simulations of turbine rotor-stator interaction' -- subject(s): Turbomachines, Navier-Stokes equations


What has the author Y-N Kim written?

Y.-N Kim has written: 'Calculation of helicopter rotor blade/vortex interaction by Navier-Stokes procedures' -- subject(s): Rotors (Helicopters), Navier-Stokes equations


What has the author Chistopher A Kennedy written?

Chistopher A. Kennedy has written: 'Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations' -- subject(s): Stability, Errors, Direct numerical simulation, Wave equations, Runge-Kutta method, Navier-Stokes equation


What has the author Andrea Arnone written?

Andrea Arnone has written: 'Navier-Stokes analysis of transonic cascade flow' -- subject(s): Aerodynamics, Transonic, Cascades (Fluid dynamics), Transonic Aerodynamics 'A Navier-Stokes solver for cascade flows' -- subject(s): Numerical solutions, Navier-Stokes equations, Cascades (Fluid dynamics)


What has the author Peter M Hartwich written?

Peter M. Hartwich has written: 'High resolution upwind schemes for the three-dimensional, incompressible Navier-Stokes equations' -- subject(s): Navier-Stokes equation, Upwind schemes