الفهرس 
Basics of ViscousOnly 14 pages are availabe for public view
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Abstract
The first chapter deals with the fundamental concepts in dyadic algebra are introduced along with the field equations governing viscous fluids flowing through porous media. The discussion encompasses the conservation of energy and constitutive relations applicable to viscous fluids exhibiting thermal effects. Additionally, the chapter covers the definitions of anomalies related to thermocapillarity and electrophoresis.In the second chapter, the thermocapillarity motion of a non-deformable spherical droplet embedded in a concentric permeable spherical cavity, filled with a Newtonian viscous fluid, and subjected to a uniformly prescribed temperature gradient, is investigated analytically. The energy and momentum field equations are resolved within the quasi-steady limit, considering small Péclet and Reynolds numbers. Additionally, the study assumes a small capillary number at the droplet interface, ensuring the perpetuation of the droplet’s spherical shape throughout its motion. We have derived normalized thermocapillarity velocity results across a broad spectrum of relative thermal conductivity values, cavity permeabilities, and viscosity ratios. The obtained normalized thermocapillarity velocity is emphasized using graphs and tables, allowing for a comparison with existing literature data. Additionally, specific cases available in the literature have been examined to further validate our findings. This study is inspired by diverse flow situations, including particle deposition in processes like reverse osmosis, dialysis, and fluid passes through the cell cavity walls or membranes of numerous biological organs.