Work

Thermal convection in one, two, three and four dimensions

Year: 2026

Type: article

Abstract: We study by means of direct numerical simulations the influence of the dimensionality of convection on flow properties. We call attention to a few general principles from considering in totality the results from one dimension, two dimensions, three dimensions and four dimensions. In particular, we explore two practical aspects: (i) the transient time, or the amount of time it takes for the flow to reach the steady state; and (ii) possible implications for the so-called ultimate state.

Source: Journal of Fluid Mechanics

DOI: 10.1017/jfm.2026.11981

Authors: Ambrish Pandey, Harshit Tiwari, Katepalli R. Sreenivasan

Institutions: New York University Abu Dhabi, Indian Institute of Technology Roorkee, Indian Institute of Technology Kanpur, New York University

Language: English

Topic: Fluid Dynamics and Turbulent Flows

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funders: Arthritis National Research Foundation, New York University Abu Dhabi, Tamkeen, Science and Engineering Research Board