reynolds stress sentence in Hindi
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- Thus, by analogy, the Reynolds stress is sometimes thought of as consisting of an isotropic pressure part, termed the turbulent pressure, and an off-diagonal part which may be thought of as an effective turbulent viscosity.
- In fact, while much effort has been expended in developing good models for the Reynolds stress in a fluid, as a practical matter, when solving the fluid equations using computational fluid dynamics, often the simplest turbulence models prove the most effective.
- To obtain equations containing only the mean velocity and pressure, we need to close the RANS equations by modelling the Reynolds stress term R _ { ij } as a function of the mean flow, removing any reference to the fluctuating part of the velocity.
- One finds that the transport equation for the Reynolds stress includes terms with higher-order correlations ( specifically, the triple correlation \ overline { v'_ i v'_ j v'_ k } ) as well as correlations with pressure fluctuations ( i . e . momentum carried by sound waves ).
- One class of models, closely related to the concept of turbulent viscosity, are the k-epsilon turbulence models, based upon coupled transport equations for the turbulent energy density k ( similar to the turbulent pressure, i . e . the trace of the Reynolds stress ) and the turbulent dissipation rate \ epsilon.
- It should also be noted that the theory of the Reynolds stress is quite analogous to the kinetic theory of gases, and indeed the stress tensor in a fluid at a point may be seen to be the ensemble average of the stress due to the thermal velocities of molecules at a given point in a fluid.
- This change is balanced by the mean body force, the isotropic stress owing to the mean pressure field, the viscous stresses, and apparent stress \ left (-\ rho \ overline { u _ i ^ \ prime u _ j ^ \ prime } \ right ) owing to the fluctuating velocity field, generally referred to as the Reynolds stress.
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