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makethings
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Is there a book, series of notes, lectures, PDF, PPT or anything that contains all known complete analytical exact solutions of the Navier-Stokes equations?
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makethings said:Well then, I wonder if I should make it my mission to search deep into every fluids text and journal paper and compile one myself.
makethings said:Well then, I wonder if I should make it my mission to search deep into every fluids text and journal paper and compile one myself.
Navier-Stokes equations are a set of partial differential equations that describe the motion of a fluid in terms of its velocity, pressure, density, and temperature. They are widely used in the field of fluid mechanics to model and predict the behavior of fluids in various situations.
Complete analytical exact solutions of Navier-Stokes equations provide a complete understanding of the behavior of fluids in different scenarios. They allow scientists to accurately predict the behavior of fluids, which is crucial in fields such as aerodynamics, weather forecasting, and oceanography. They also serve as a benchmark for numerical solutions, allowing for the validation of computational fluid dynamics methods.
Navier-Stokes equations have a wide range of applications in various fields, including aerodynamics, hydrodynamics, meteorology, oceanography, and engineering. They are used to study the flow of air around an airplane, the movement of water in a river, the circulation of blood in our bodies, and the behavior of fluids in pipes and pumps, among many other examples.
No, Navier-Stokes equations cannot be solved analytically for all situations. In fact, there are only a few cases where exact analytical solutions are known. In most cases, numerical methods are used to approximate the solutions to these equations. However, efforts are continuously being made to find more complete analytical exact solutions.
The book "Complete Analytical Exact Solutions of Navier-Stokes Eqs: Fluid Mechanics Book" can be used as a reference for scientists and engineers working in the field of fluid mechanics. It provides a comprehensive collection of analytical exact solutions for Navier-Stokes equations and discusses their applications in different scenarios. It can also be used as a textbook for students studying fluid mechanics or computational fluid dynamics.