Theory of compressible irrotational flows including heat conductivity and longitudinal viscosity Article

Dulikravich, GS, Kennon, SR. (1988). Theory of compressible irrotational flows including heat conductivity and longitudinal viscosity . MATHEMATICAL AND COMPUTER MODELLING, 10(8), 583-592. 10.1016/0895-7177(88)90129-X

cited authors

  • Dulikravich, GS; Kennon, SR

authors

abstract

  • A new exact analytical model was derived for the irrotational flows of compressible fluids when the effects of heat conductivity and molecular viscosity are allowed. This new model satisfies conservation of mass, momentum and energy exactly. In addition, it satisfies physical irrotationality conditions. Compared to the classical small perturbation viscous-transonic (V-T) equation, the new physically dissipative potential (PDP) equation contains a number of additional terms that are highly nonlinear. The new model is derived in a general vector operator form and in a scalar canonical form. The PDP equation is able to produce shock waves of different strengths depending on the ratio of secondary and shear viscosity coefficients. The one-dimensional, steady flow version of the PDP equation was integrated using a Runge-Kutta scheme and different values of the ratio of the two viscosities. The computed shock structures are symmetric. Rankine-Hugoniot shock jumps were obtained when Stokes' hypothesis was used in the PDP equation and isentropic shock jumps were obtained when the longitudinal viscosity was negligible. © 1988.

publication date

  • January 1, 1988

published in

Digital Object Identifier (DOI)

start page

  • 583

end page

  • 592

volume

  • 10

issue

  • 8