TY - JFULL
AU - Peiangpob Monnuanprang
PY - 2009/12/
TI - The Euler Equations of Steady Flow in Terms of New Dependent and Independent Variables
T2 - International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering
SP - 1019
EP - 1024
EM - peiangpb@math.sut.ac.th
VL - 3
SN - 1307-6892
UR - http://waset.org/publications/7843
PU - World Academy of Science, Engineering and Technology
NX - International Science Index 35, 2009
N2 - In this paper we study the transformation of Euler equations 1 , u u u Pf t (ρ ∂) + ⋅∇ = − ∇ + ∂ G G G G ∇⋅ = u 0, G where (ux, t) G G is the velocity of a fluid, P(x, t) G is the pressure of a fluid andρ (x, t) G is density. First of all, we rewrite the Euler equations in terms of new unknown functions. Then, we introduce new independent variables and transform it to a new curvilinear coordinate system. We obtain the Euler equations in the new dependent and independent variables. The governing equations into two subsystems, one is hyperbolic and another is elliptic.
ER -