Unsteady PTV Velocity Field Solved with DNS

Author(s):  
Takao Suzuki ◽  
Hui Ji ◽  
Fujio Yamamoto
Keyword(s):  
Author(s):  
Philip Isett

This chapter deals with the coarse scale velocity. It begins the proof of Lemma (10.1) by choosing a double mollification for the velocity field. Here ∈ᵥ is taken to be as large as possible so that higher derivatives of velement are less costly, and each vsubscript Element has frequency smaller than λ‎ so elementv⁻¹ must be smaller than λ‎ in order of magnitude. Each derivative of vsubscript Element up to order L costs a factor of Ξ‎. The chapter proceeds by describing the basic building blocks of the construction, the choice of elementv and the parametrix expansion for the divergence equation.


2015 ◽  
Vol 11 (1) ◽  
pp. 2960-2971
Author(s):  
M.Abdel Wahab

The Numerical study of the flow of a fluid in the annular region between two eccentric sphere susing PHP Code isinvestigated. This flow is created by considering the inner sphere to rotate with angular velocity 1  and the outer sphererotate with angular velocity 2  about the axis passing through their centers, the z-axis, using the three dimensionalBispherical coordinates (, ,) .The velocity field of fluid is determined by solving equation of motion using PHP Codeat different cases of angular velocities of inner and outer sphere. Also Finite difference code is used to calculate surfacetractions at outer sphere.


1999 ◽  
Author(s):  
Eric Falk ◽  
Eric Jumper ◽  
Michael Fabian ◽  
Brenda Haven
Keyword(s):  

Author(s):  
Juliana Loureiro ◽  
Atila Pantaleão Silva Freire ◽  
Gustavo Eduardo Oviedo Celis

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