Exact solutions in MHD natural convection of a Bingham fluid: fully developed flow in a vertical channel

A. Borrelli, Giulia Giantesio*, M. C. Patria

*Corresponding author

Research output: Contribution to journalArticle

Abstract

In nature, many fluid-like materials exhibit a yield stress below which they behave like a solid. The Bingham model aims to describe such materials. This paper draws some mathematical considerations on the flow of a Bingham fluid in a vertical channel. The situation due to the presence of an external magnetic field and natural convection is analyzed: the external magnetic field, which is orthogonal to the walls of the channel, generates the Lorentz forces that influence the motion through the Hartmann number. The behavior of the velocity, the induced magnetic field and the thickness of the plug regions are discussed and presented graphically. We find that the velocity is a decreasing function of the Bingham and Hartmann numbers. In particular, the presence of the external magnetic field increases the thickness of the plug region. The modulus of the induced magnetic field is not monotone when the Hartmann number changes, but it is a decreasing function of the Bingham number.
Original languageEnglish
Pages (from-to)5825-5838
Number of pages14
JournalJournal of Thermal Analysis and Calorimetry
Volume147
DOIs
Publication statusPublished - 2022

Keywords

  • Magnetic field
  • Natural convection
  • Yield stress

Fingerprint

Dive into the research topics of 'Exact solutions in MHD natural convection of a Bingham fluid: fully developed flow in a vertical channel'. Together they form a unique fingerprint.

Cite this