Year: 2026
Type: article
Abstract: A model is analysed which generalizes an Oldroyd fluid in line with Oskolkov’s general classification of Oldroyd fluids of order N. We analyse the thermal convection problem where a horizontal layer of fluid is heated from below when that fluid is an Oldroyd fluid of order 2 according to the definition of Oskolkov. The thresholds for linear instability are calculated in detail, and the critical Rayleigh and wave numbers are determined. The key is to employ a very important classification of Anatoly P. Oskolkov to show that the constitutive equation for a generalized Burgers fluid is a natural extension of the constitutive equation for a Oldroyd fluid.
Author: Brian Straughan
Institution: Durham University
Language: English
Subfield: Fluid Flow and Transfer Processes
Field: Chemical Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,890
OpenAlex ID: W7128907773