scholarly journals Flow of power-law liquids in a Hele-Shaw cell driven by non-uniform electro-osmotic slip in the case of strong depletion

2016 ◽  
Vol 807 ◽  
pp. 235-257 ◽  
Author(s):  
Evgeniy Boyko ◽  
Moran Bercovici ◽  
Amir D. Gat
Keyword(s):  
Power Law ◽  
Asymptotic Approximation ◽  
Approximate Solutions ◽  
Two Dimensions ◽  
Analysis And Design ◽  
Power Law Fluids ◽  
Wall Depletion ◽  
Strong Depletion ◽  
Characteristic Pressure ◽  
Hele Shaw Cell

We analyse flow of non-Newtonian fluids in a Hele-Shaw cell, subjected to spatially non-uniform electro-osmotic slip. Motivated by their potential use for increasing the characteristic pressure fields, we specifically focus on power-law fluids with wall depletion properties. We derive a $p$-Poisson equation governing the pressure field, as well as a set of linearized equations representing its asymptotic approximation for weakly non-Newtonian behaviour. To investigate the effect of non-Newtonian properties on the resulting fluidic pressure and velocity, we consider several configurations in one and two dimensions, and calculate both exact and approximate solutions. We show that the asymptotic approximation is in good agreement with exact solutions even for fluids with significant non-Newtonian behaviour, allowing its use in the analysis and design of microfluidic systems involving electrokinetic transport of such fluids.

scholarly journals Numerical Simulation of Drop Formation in Power-Law Fluids

2018 ◽  
Vol 34 (6) ◽  
pp. 3153-3156
Author(s):  
Fahime Hoseinzade ◽  
Hamid Reza Ghorbani
Keyword(s):  
Newtonian Fluid ◽  
Power Law ◽  
Drop Size ◽  
Two Dimensions ◽  
Orifice Diameter ◽  
Fluid Flow Rate ◽  
Power Law Model ◽  
Motion Equations ◽  
Power Law Fluids ◽  
Submerged Orifice

The purpose of this work was the study of the formation process of Newtonian drop in a continuous non-Newtonian fluid. This process was numerically studied by entering liquid into a submerged orifice in a cylindrical vessel. The simulations were carried out using SOLA-VOF method. In this code, the complete motion equations were predicted two dimensions and using finite difference method. In addition, power law model was used to simulate a non-Newtonian fluid. In this research, the effects of orifice diameter and Newtonian fluid flow rate were studied on the formation of the drop, size and its formation time.

Numerical Investigation of Power-Law Fluid Flows and Heat Transfer inside of Curved Duct under Aiding Thermal Buoyancy

2018 ◽  
Vol 16 ◽  
pp. 84-95 ◽  
Author(s):  
Fayçal Bouzit ◽  
Houssem Laidoudi ◽  
Bilal Blissag ◽  
Mohamed Bouzit ◽  
Abdellah Guenaim
Keyword(s):  
Heat Transfer ◽  
Numerical Investigation ◽  
Power Law ◽  
Flow Behavior ◽  
Two Dimensions ◽  
Thermal Buoyancy ◽  
Curved Duct ◽  
Ansys Cfx ◽  
Power Law Fluids ◽  
Power Law Index

This paper deals with a numerical investigation in order to predict correctly the combined effects of aiding thermal buoyancy and rheological flow behavior of power-law fluids on downward flow and heat transfer rate inside of 180° curved duct. The governing equations involving the momentum, continuity and the energy are solved in two-dimensions using the package called ANSYS-CFX. The computational results are depicted and discussed for the range of conditions as:Re= 40 to 1000,Ri= 0 to-1 andn= 0.4 to 1.2 at fixed value of Prandt number ofPr= 1. To interpret the found results, the flow structure and temperature field are shown in form of streamlines and isotherm contours. The average Nusselt number of the inner and outer walls of curved channel is calculated to determine the role of Reynolds number, Richardson number and power-law index. It is found that increase in strength of aiding buoyancy creates a counter rotating region in angle of 90 degrees of the duct.

scholarly journals Analysis of Marangoni convection of non-Newtonian power law fluids with linear temperature distribution

2011 ◽  
Vol 15 (suppl. 1) ◽  
pp. 45-52 ◽  
Author(s):  
Yan Zhang ◽  
Liancun Zheng ◽  
Xiaojing Wang ◽  
Guhua Song
Keyword(s):  
Differential Equations ◽  
Power Law ◽  
Marangoni Convection ◽  
Approximate Solutions ◽  
Convection Flow ◽  
Linear Temperature ◽  
Power Law Fluids ◽  
Variable Surface ◽  
Power Law Index ◽  
Steady Laminar

The problem of steady, laminar, thermal Marangoni convection flow of non-Newtonian power law fluid along a horizontal surface with variable surface temperature is studied. The partial differential equations are transformed into ordinary differential equations by using a suitable similarity transformation and analytical approximate solutions are obtained by an efficient transformation, asymptotic expansion and Pad? approximants technique. The effects of power law index and Marangoni number on velocity and temperature profiles are examined and discussed.

Forced convection heat transfer study of a blunt-headed cylinder in non-Newtonian power-law fluids

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Jaspinder Kaur ◽  
Roderick Melnik ◽  
Anurag Kumar Tiwari
Keyword(s):  
Heat Transfer ◽  
Nusselt Number ◽  
Drag Coefficient ◽  
Power Law ◽  
Average Nusselt Number ◽  
Convection Heat Transfer ◽  
Convection Heat ◽  
Total Drag ◽  
Shear Thinning Fluids ◽  
Power Law Fluids

Abstract In this present work, forced convection heat transfer from a heated blunt-headed cylinder in power-law fluids has been investigated numerically over the range of parameters, namely, Reynolds number (Re): 1–40, Prandtl number (Pr): 10–100 and power-law index (n): 0.3–1.8. The results are expressed in terms of local parameters, like streamline, isotherm, pressure coefficient, and local Nusselt number and global parameters, like wake length, drag coefficient, and average Nusselt number. The length of the recirculation zone on the rear side of the cylinder increases with the increasing value of Re and n. The effect of the total drag coefficient acting on the cylinder is seen to be higher at the low value of Re and its effect significant in shear-thinning fluids (n < 1). On the heat transfer aspect, the rate of heat transfer in fluids is increased by increasing the value of Re and Pr. The effect of heat transfer is enhanced in shear-thinning fluids up to ∼ 40% and it impedes it’s to ∼20% shear-thickening fluids. In the end, the numerical results of the total drag coefficient and average Nusselt number (in terms of J H −factor) have been correlated by simple expression to estimate the intermediate value for the new application.

Sign in / Sign up

Export Citation Format

Share Document