Heat flow, heat content and the isoparametric property

Heat - Flow Heat - Flow Heat - Flow

Choosing between multiple ontological perspectives is crucial for reasoning about the physical world. Choosing the wrong perspective can make a reasoning task impossible. This paper introduces a Lagrangian plug flow ontology (PF) for reasoning about thermodynamic fluid flow. We show that this ontology captures continuously changing behaviors of flowing fluids not represented in currently implem...

Heat Content, Heat Trace, and Isospectrality

We study the heat content function, the heat trace function, and questions of isospectrality for the Laplacian with Dirichlet boundary conditions on a compact manifold with smooth boundary in the context of finite coverings and warped products.

Heat Flow

Fluid Flow and Heat Transfer of Nanofluids over a Flat Plate with Conjugate Heat Transfer

The falling and settling of solid particles in gases and liquids is a natural phenomenon happens in many industrial processes. This phenomenon has altered pure forced convection to a combination of heat conduction and heat convection in a flow over a plate. In this paper, the coupling of conduction (inside the plate) and forced convection of a non-homogeneous nanofluid flow (over a flat plate) ...

Heat Flow of the Earth

1.1 Background Earth’s evolution reflects the history of heat transfer from the interior [53, 1101 via the fundamental processes of plate tectonics, conduction through continental lithosphere, and hotspot volcanism [103]. As a result, considerable attention has been directed toward understanding Earth’s thermal history, the variation in the temperature field in space and tune. The primary direc...