This monograph provides an account of thermal convection with a focus on Cattaneo's heat flux equation. Various applications of the equation are analyzed, such as those pertaining to nanoscale mechanics, nuclear engineering, the treatment of various diseases, and more. The influence it has had on problems in the field of thermal convection is highlighted as well. Several other important topics are incorporated, including:

• Guyer-Krumhansl terms
• Kelvin-Voigt fluid theory
• Navier-Stokes theory

• Higher gradient fluid theories
  Thermal Convection with a Cattaneo Flux Law will appeal to researchers interested in exploring this active area.

  Provides an account of thermal convection that focuses on Cattaneo's heat flux equation Analyzes applications of this equation as well as the influence it has had on the field of thermal convection Incorporates several important topics, including Guyer-Krumhansl terms, the Navier-Stokes theory, and more

  Autorentext

  Brian Straughan is a Professor in the Department of Mathematical Sciences at Durham University in Durham, UK. He is a member of the Center for the Coevolution of Biology and Culture, and his research interests include: computational mathematics, partial differential equations, and stability.

  Inhalt

Introduction.- Classical thermal convection.- Thermal convection with a Cattaneo flux law.- Cattaneo convection with Mariano theory.- Guyer-Krumhansl effects.- Kelvin-Voigt fluids.- Cattaneo convection with higher gradient Navier-Stokes theory.- Cattaneo convection with Double Diffusion.- Cattaneo convection with rotation or a magnetic field.- LTNE convection with Cattaneo effect in the solid.