A new model for the reformulation of compressible fluid equations

Demir S., Uymaz A., Tanisli M.

CHINESE JOURNAL OF PHYSICS, cilt.55, sa.1, ss.115-126, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1016/j.cjph.2016.10.011
  • Dergi Adı: CHINESE JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.115-126
  • Anahtar Kelimeler: 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 Üniversitesi Adresli: Evet

Özet

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.