scholarly journals Applications of Viscoelastic Fluids Involving Hydrodynamic Stability and Heat Transfer

2018 ◽  
Author(s):  
Ildebrando Pérez-Reyes ◽  
René Osvaldo Vargas-Aguilar ◽  
Samuel Bernardo Pérez-Vega ◽  
Alejandro Sebastián Ortiz-Pérez
Keyword(s):  
Heat Transfer ◽  
Hydrodynamic Stability ◽  
Viscoelastic Fluids

Interfacial instabilities in plane Poiseuille flow of two stratified viscoelastic fluids with heat transfer. Part 1. Evolution equation and stability analysis

1995 ◽  
Vol 299 ◽  
pp. 241-265 ◽  
Author(s):  
Sang W. Joo
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Stability Analysis ◽  
Evolution Equation ◽  
Vertical Channel ◽  
Viscoelastic Fluids ◽  
Lubrication Approximation ◽  
Plane Poiseuille Flow ◽  
Interfacial Instabilities ◽  
Different Temperatures

An evolution equation is derived that describes the nonlinear development of the interface between two viscoelastic fluids flowing, under the action of imposed pressure gradient and gravity, in a vertical channel. The channel walls are kept at different temperatures, resulting in heat transfer across the layers. The equation, based on the lubrication approximation, models the effects of stratifications in density, viscosity, elasticity, shear thinning, and thermal conductivity. It also describes the capillary and thermocapillary effects, as well as the sensitivity of viscosities to temperature. Linear-stability analysis is performed based on the evolution equation to understand the competing effects of viscous, elastic, and Marangoni instabilities. Particular attention is paid to the active control of the interfacial instabilities through the thermocapillarity.

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