Electric Fields

Thermal convection within fluids is ubiquitous in nature and engineering. It plays a major role in heat transfer and is a main driver for geophysical and atmospheric structures. This thermally driven convection is conjoined with Archimedean buoyancy force due to the variation of the density with the temperature T in the gravitational field https://www.w3.org/1998/Math/MathML"> g → https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003338277/96e4c35b-543f-4f9f-ac76-b28d51ed1948/content/eq23.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> . In most of the fluids, the density decreases with the temperature and its behavior can be modeled by a linear relation for a small temperature variation: ρ(T) = ρ 0[1 – α(T – Tref )], where ρ 0 = ρ (Tref ), Tref is the reference temperature, and a is the volume thermal expansion coefficient. The Archimedean buoyancy force reads (9.1) https://www.w3.org/1998/Math/MathML"> F → = − ρ 0 α ( T − T r e f ) g → https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003338277/96e4c35b-543f-4f9f-ac76-b28d51ed1948/content/eq24.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>