A new model for the reformulation of compressible fluid equations

Demir S., Uymaz A., Tanisli M.

CHINESE JOURNAL OF PHYSICS, vol.55, no.1, pp.115-126, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 1
  • Publication Date: 2017
  • Doi Number: 10.1016/j.cjph.2016.10.011
  • Journal Name: CHINESE JOURNAL OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.115-126
  • Keywords: Biquaternion, Fluid equations, Maxwell equations, Matrices, HYPERBOLIC OCTONION FORMULATION, GENERALIZED ELECTROMAGNETIC-FIELDS, QUATERNIONIC REFORMULATION, GRAVI-ELECTROMAGNETISM, GRAVITATIONAL-FIELD, MAXWELLS EQUATIONS, CHIRAL MEDIUM, DYONS, ELECTRODYNAMICS, BIQUATERNIONS
  • Anadolu University Affiliated: Yes

Abstract

Stimulating the biquaternionic generalization of electric and magnetic fields in electromagnetism, a new model has been proposed to present the Maxwell type equations of compressible fluids. The fluid wave equation has been expressed in a compact and elegant manner. Similarly, the generalized Poynting theorem for fluids has been derived analogous to electromagnetism and linear gravity. Moreover, a brief survey on biquaternionic matrices and the corresponding matrix representations of fluid equations have been given. (C) 2016 The Physical Society of the Republic of China (Taiwan). Published by Elsevier B.V. All rights reserved.