Lie-symmetry group and modeling in non-isothermal fluid mechanics
نویسندگان
چکیده
منابع مشابه
Non-newtonian Fluid Mechanics
(i) A study of the fluids in simple flow situations, such as those found in Rheometry. (ii) The construction of suitable constitutive equations for the non-Newtonian fluids under test. (iii) The use of these constitutive equations in the prediction of behavior in complex flows of practical importance. (iv) An experimental study of the behavior of non-Newtonian fluids in the complexflow situatio...
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In this work, the non-isothermal Navier–Stokes equations are studied from the group theory point of view. The symmetry group of the equations is presented and discussed. Some standard turbulence models are analyzed with the symmetries of the equations. A class of turbulence models which preserve the physical properties contained in the symmetry group is built. The proposed turbulence models are...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2012
ISSN: 0378-4371
DOI: 10.1016/j.physa.2012.05.063