Flow Behavior Of non-Newtonian Fluids Research Articles

Magnetized effects of double diffusion model on mixed convective Casson nanofluid subject to generalized perspective of Fourier and Fick’s laws

Understanding the flow behavior of non-Newtonian fluids from an industrial standpoint is crucial. Many industrial and technical activities, such as the extrusion of polymer sheets, the manufacturing of paper, and the development of photographic films, require non-Newtonian fluids. Heat and mass transport have various manufacturing uses. However, classical heat and mass transfer theories (Fourier and Fick laws) cannot anticipate thermal and solute relaxation time occurrences. The purpose of this investigation is to apply the modified Ohm law to the heat and mass transportation systems, which are established by generalized Fourier and Fick’s equations, respectively. A three-dimensional Darcy–Forchheimer flow through a porous medium integrating Hall and ion slip effects is studied for a non-Newtonian fluid known as a “Casson nanofluid” with mixed convection across a stretched surface. To investigate heat transfer augmentation, the modified Buongiorno model for nanofluids is used. It covers practical nanofluid properties as well as the mechanics of random motion and thermo-migration in nanoparticles. These groups of Partial Differential Equations (PDEs) that represent the mathematical model are combined with the proper similarity transformations to create an ordinary differential equations system, which is then resolved using the power of the Lobatto IIIA method. Examples of numerical and graphical data are given to show how various physical constraints affect the variation for velocities, temperatures, mass transfer, dimensionless shear stress, as well as Nusselt and Sherwood numbers. It turns out that lowering the Casson fluid parameters’ values reduces the velocity in the spatial coordinates (x, y). A rise in the Hall parameter's values ultimately leads to an improvement in the fluid. This paper sheds light on useful applications including power generation, conservation of energy, friction elimination, and nanofluidics. Nonetheless, the work highlights an important point: by carefully adjusting the Casson parameter, thermophoresis parameter, and Brownian motion parameter, the flow of a Casson fluid, including nanoparticles, may be controlled.

Analysis of blood flow of unsteady Carreau-Yasuda nanofluid with viscous dissipation and chemical reaction under variable magnetic field

Blood flow analysis through arterial walls depicts unsteady non-Newtonian fluid flow behavior. Arterial walls are impacted by various chemical reactions and magnetohydrodynamic effects during treatment of malign and tumors, cancers, drug targeting and endoscopy. In this regard, current manuscript focuses on modeling and analysis of unsteady non-Newtonian Carreau-Yasuda fluid with chemical reaction, Brownian motion and thermophoresis under variable magnetic field. The main objective is to simulate the effect of different fluid parameters, especially variable magnetic field, chemical reaction and viscous dissipation on the blood flow to help medical practitioners in predicting the changes in blood to make diagnosis and treatment more efficient. Suitable similarity transformations are used for the conversion of partial differential equations into a coupled system of ordinary differential equations. Homotopy analysis method is used to solve the system and convergent results are drawn. Effect of different dimensionless parameters on the velocity, temperature and concentration profiles of blood flow are analyzed in shear thinning and thickening cases graphically. Analysis reveals that chemical reaction increases blood concentration which enhance the drug transportation. It is also observed that magnetic field elevates the blood flow in shear thinning and thickening scenarios. Furthermore, Brownian motion and thermophoresis increases temperature profile.

Solution Procedure for Fractional Casson Fluid Model Considered with Heat Generation and Chemical Reaction

In this work, the objective is to get the exact analytical solution of a generalized Casson fluid model with heat generation and chemical reaction described by the Caputo fractional operator, using the approach that the Laplace transform method includes the Laplace transform of the Caputo derivative. After the exact solution, it will be studied the impact of the order of the fractional derivative and the most essential parameters included in the modeling like the Prandtl number, the thermal Grashof number, the mass Grashof number, the Schmidt number, the heat generation parameter, and the chemical reaction parameter. The physical points of view of the influence will be discussed and analyzed. The findings of the paper will be illustrated by several graphics. The development in industry and engineering science, it makes important to study the flow behavior of non-Newtonian fluids. The domains of applications of the flow behavior of non-Newtonian fluids are diverse such as geophysics, biorheology, and chemical and petroleum industries.

Study of unsteady non-Newtonian fluid flow behavior in a two-sided lid-driven cavity at different aspect ratios

Study of unsteady non-Newtonian fluid flow behavior in a two-sided lid-driven cavity at different aspect ratios

Magnetohydrodynamics (MHD) Induced Slip Flow of a Non-Newtonian Fluid through Circular Microchannels

The present numerical analysis reveals the nature of non-Newtonian fluid flow through circular microchannels under slip boundary conditions. The power law has been used for the simulation of the fluid flow, which considers a steady, laminar, incompressible non-Newtonian fluid acted upon by a constant, externally applied magnetic field. The flow is axisymmetric and slip boundary conditions are applied in the near wall. A constant magnetic flux has been applied on the wall boundary to analyze the effect of magnetic field on Xanthan solution in formic acid, a type of non-Newtonian fluid having electrical conductivity. Using control volume method of finite difference scheme, a set of dimensionless governing differential equations defining the behavior of the fluid flow in the microchannel under an externally applied magnetic field, has been solved using slip boundary conditions to understand the effect of magnetic field on slip induced flow of non-Newtonian fluids. The results have depicted that the magnetic field affects both the centerline velocity and slip velocity but it is more prominent for the centerline velocities. The main objective of this research is to study the flow of non-Newtonian fluid, Xanthan through a circular microchannel and its corresponding behavior when flow boundary conditions are applied to interpret the characteristics under an externally applied magnetic field. The results obtained from this present study will find its application in the area of the flow of ferrofluids and biofluids.
 HIGHLIGHTS
 
 Most of the bio fluids and ferrofluids are non-Newtonian in nature and it is required to control these fluids when they pass through microchannels of modern devices
 Analysis conducted to find out the flow behaviour of non-Newtonian fluids through circular microchannels when they are exposed to externally applied magnetic fields
 Slip flow occurs in the fluid flow and an externally applied magnetic field controls the flow patterns by affecting slip velocity and centerline velocity which introduces extra flow in the microchannel. The results are helpful for better understanding of the flow of ferrofluids and bio fluids through circular microchannels
 
 GRAPHICAL ABSTRACT

Mixed convection and non-linear thermal radiative analysis for Carreau-Yasuda nanofluid in an endoscope

The understanding of flow behaviour of non-Newtonian fluids in the presence of nanoparticles is of great interest from an industrial point of view. Bulk addition of nano-sized particles in fluid enhance thermo-physical properties of fluid which is of crucial importance to industries such as medicine, agriculture, electronics etc. Current study discusses thermophoretic diffusion and Brownian motion in peristaltic flow of Carreau-Yasuda nanofluid in tube-like (endoscopic) structure. Unlike many existing studies, the nonlinear radiation effect in the presence of heat and mass transfer i.e., mixed convection is considered. Dissipation, Joule heating and heat source, sink effects are modelled. The governing mathematical problems are numerically solved. Non-dimensionalization is achieved via use of lubrication approach and streamline functions. Quantities like velocity, temperature, concentration, heat transfer rate and trapping are addressed. Observing effects of Weissenberg number (We = 0.1 − 0.3) on fluid flow conclude that velocity as well as the size of trapped bolus increases as We is increased. Heat transfer rate enhances as temperature ratio parameter (θ1 = 0.3 − 0.7) is increased.

Correction to: Application of boundary-fitted convolutional neural network to simulate non-Newtonian fluid flow behavior in eccentric annulus

Correction to: Application of boundary-fitted convolutional neural network to simulate non-Newtonian fluid flow behavior in eccentric annulus

Variable heat source in stagnation-point unsteady flow of magnetized Oldroyd-B fluid with cubic autocatalysis chemical reaction

Understanding the flow behavior of non-Newtonian fluids required more research in terms of various aspects. Because the role of heat transfer in non-Newtonian flows is dominant due to its importance in technology. For these benefits, a theoretical investigation is carried out to analyze the time-dependent flow of non-Newtonian fluid with a focus on thermal and solutal transport. In the present study, we formulate a mathematical model for Oldroyd-B fluid by taking into account the effect of magnetic field. The governing flow field equations are constructed with the help of the rheological expression of Oldroyd-B fluid model. For physical relevance, the effects of non-uniform heat source/sink, Joule heating and thermal radiation with homogeneous-heterogeneous chemical reactions have been incorporated in stagnation point flow towards a stretching cylinder to modify the energy and concentration distributions. The highly non-linear ordinary differential equations are tackled analytically through the optimal homotopy analysis method (OHAM). Study reveals that, the strength of homogeneous and heterogeneous reactions leads to enhanced the concentration of the catalyst at the surface. Furthermore, the non-uniform heat source/sink parameter acts like a major controlling parameter for the heat transportation rate, and heat transport is also influenced by the surface-dependent heat source/sink.

Application of boundary-fitted convolutional neural network to simulate non-Newtonian fluid flow behavior in eccentric annulus

Application of boundary-fitted convolutional neural network to simulate non-Newtonian fluid flow behavior in eccentric annulus

Study of Unsteady Non-Newtonian Fluid Flow Behavior in a Two Sided Lid Driven Cavity at Different Aspect Ratios

Study of Unsteady Non-Newtonian Fluid Flow Behavior in a Two Sided Lid Driven Cavity at Different Aspect Ratios

Use of SiO2 Nanoparticles in Water-Based Drilling Fluids for Improved Energy Consumption and Rheology: A Laboratory Study

Summary In wellbore drilling, it is appreciable to devise methods to study the rheology of high-speed annulus fluid flows. In this paper, a high-speed Taylor-Couette system (TCS) was devised to explore non-Newtonian fluid flow behavior appraised by SiO2 nanoparticles toward friction reduction, power saving, and rheology modeling of nanofluids. Water-based mud (WBM) as an environmentally friendly drilling fluid is investigated by adding SiO2 nanoparticles at four low-volume concentrations of 0.05, 0.1, 0.5, and 1% at speeds from 0 to 1,600 rev/min with 200 rev/min intervals in the TCS. Five rheology models based on the Herschel-Bulkley-Extended (HBE) model and a generalized Reynolds number were optimized to fit with the experimental data. All models except the Newtonian model have fitted all nanofluids with high accuracy, especially Bingham and HBE models. Negative deviation from Darcy friction was avoided for power-law (PL) and Herschel-Bulkley (HB) models using the modification to the generalized Reynolds number. Higher energy saving and enhanced rheology is reported particularly at lower volume concentrations of SiO2 WBM nanofluids. The Darcy friction factor deviated from laminar flow at the generalized Reynolds number beyond 2,000 into turbulent, which is a good indicator for the flow condition of complex non-Newtonian nanofluids in real-life application.

Analysis and modeling of fractional electro-osmotic ramped flow of chemically reactive and heat absorptive/generative Walters'B fluid with ramped heat and mass transfer rates

In this contemporary era, fractional derivatives are widely used for the development of mathematical models to precisely describe the dynamics of real-world physical processes. In the field of fluid mechanics, analysis of thermal performance and flow behavior of non-Newtonian fluids is a topic of interest for a variety of researchers due to their significant applications in several industries, engineering operations, devices, and thermal equipment. The primary focus of this article is to investigate the effectiveness of jointly imposed time-controlled (ramped) boundary conditions in the electro-osmotic flow of a chemically reactive and radiative Walters' B fluid along with concentration and energy distributions. In Particular, the concept of using piece-wise time-dependent mass, motion, and energy conditions simultaneously for any non-Newtonian fluid is extensively explored in this work. The flow is developed due to the motion of the bounding vertical wall, which is suspended in a porous material subject to heat injection/absorption and uniform magnetic influences. Atangana-Baleanu derivative of order $ \psi $ is incorporated to establish the fractional form of ordinary modeled equations. Laplace transform method is adapted in light of some unit-less quantities to procure the exact solutions of the under observation model. Several graphical delineations are produced to comprehensively analyze the key characteristics of many physical and thermal parameters. To highlight the significance of operating surface conditions, solutions are compared for time-dependent and constant boundary conditions in every graph. Furthermore, the role of the fractional parameter, time-dependent conditions, and different other involved parameters in heat transfer, mass transfer, and flow rates is characterized by determining the expressions for Nusselt and Sherwood number and coefficient of skin friction. The numerical outcomes are organized in several tables to deeply scrutinize the noteworthy variations in the behavior of the aforementioned physical quantities. The graphical study reveals that the parameter $ E_s $ accounting for electro-osmotic effects decelerates the flow of fluid. At the atomic level, such electro-osmotic flows are useful in the separation processes of the liquids. The fractional parameter $ \psi $ attenuates thicknesses of boundary layers for the evolution of time $ t $ but, it exhibits an opposite role for smaller values of $ t $. It is also noted that the direct correspondence between velocity and time at the boundary for time duration $ t

Numerical investigation on the effects of obstruction and side ratio on non-Newtonian fluid flow behavior around a rectangular barrier

Numerical investigation on the effects of obstruction and side ratio on non-Newtonian fluid flow behavior around a rectangular barrier

Semi-analytical transient pressure solution for power-law polymer injection in a vertical well

Enhanced Oil Recovery (EOR) is a process that extends reservoir life through field operations that aim to increase reservoir displacement efficiency. Injection of polymeric solutions, which is a chemical EOR process, improves sweep efficiency by decreasing the mobility of the injected fluids. One challenge in polymer flooding is to model the non-Newtonian rheological behavior of the injected solutions due to the complex interdependence between fluid flow velocity, fluid viscosity and shear rate. Proper reservoir management requires a thorough understanding of non-Newtonian fluid flow behavior through porous media, thus the need for new and improved mathematical models that describe the transient pressure behavior in wells. In this work we consider the flow of non-Newtonian pseudoplastic fluids in homogeneous isotropic porous media. To describe the rheological polymer behavior, we used the well-known power-law model, which leads to a nonlinear problem. In this paper, a novel semi-analytical solution is obtained by combining spatial domain discretization with pseudotime, so the flow problem is rewritten as a system of linear equations in Laplace domain. We also presented a variation of the proposed solution by assuming a pseudostationary behavior of the non-Newtonian velocity. Both approaches are compared to previously published approximated analytical solutions. One interesting aspect of our work is that it can be extended to more realistic polymer rheological models.

Modeling Slurry Electrodes for Redox Flow Batteries Using Kinetic Monte Carlo

A new technological avenue, that allows utilization of conventional rechargeable battery material at grid scale, has opened up with the development of slurry redox flow batteries (SRFBs) [1]. These can offer volumetric capacity of up to 5-20 times greater than conventional redox flow batteries based on aqueous solutions [1]. However optimization and commercialization of SRFBs requires better understanding of suspension stability, non-Newtonian fluid flow behavior, electrochemical cycling phenomena, and consequent particle dynamics of the solid material in suspension. In this work we present a multiphysics mesoscopic modeling tool resolved using an kinetic Monte Carlo algorithm [2,3] in three dimensions. This model simulates the phenomena which take place during the discharge of a SRFB in static mode with a silicon-carbon based slurry in organic electrolyte [4]. It captures the dynamics of electronic percolation networks of carbon particles created during Brownian motion. These percolation networks form electron conduction pathways for silicon particles to discharge and eventually undergo volume expansion [Fig.1]. Results are discussed in contrast to in-house experimental data [4]. Our model offers a first look into the complex interplay of intrinsic parameters that need to be understood to achieve optimization based on factors like carbon volume fractions and C-rates [5]. Fig. 1. Snapshot of the channel during galvanostatic discharge slurry containing carbon (in red) and silicon particles (in blue). When silicon is in contact with carbon percolation networks (in yellow), it can discharge. The channel thickness is 1.5 μm and the area of the current collector is 6.25 μm2. References : [1] M. Duduta, B. Ho, V. C. Wood, P. Limthongkul, V. E. Brunini, W. C. Carter, and Y. Chiang, Adv. Energy Mater., 1(2011) 511 [2] M. A. Quiroga, and A. A. Franco, J. Electrochem Soc. 161(7) (2015) E73. [3] G. Blanquer, Y. Yin, M. A. Quiroga, and A. A. Franco, J. Electrochem Soc., 163(3) (2016) A329 [4] S. Hamelet, D. Larcher, L. Duport, and J. M. Tarascon, J. Electrochem Soc., 160(3) (2013) A516. [5] G.Shukla, D. del Olmo Diaz, V. Thangavel, and A. A. Franco, in preparation (2016) Figure 1

Incompressible Viscoelastic Flow of a Generalised Oldroyed-B Fluid through Porous Medium between Two Infinite Parallel Plates in a Rotating System

ABSTRACT Incompressible viscous fluid flow through a porous medium between two infinite parallel plates with moving upper plate in a rotating system has been studied here. The exact solution of the governing equation for the velocity field has been obtained by using Laplace and finite Fourier sine transformations in series form in terms of Mittage-Leffler function. It can be found that the fluid velocity decreases with the increasing values of fractional calculus parameter α and the permeability of the porous medium K. It can be also observed that the fluid velocity increases with the higher values of the viscosity of the porous medium. The dependence of the velocity field on fractional calculus parameters as well as material parameters has been illustrated graphically. Keywords Caputo operator; Generalised Oldroyed-B fluid; Laplace transformation: Finite Fourier sine transformation; porous medium . 1. INTRODUCTION In fluid dynamics the study of non-Newtonian fluid flow through porous medium has applications in different fields such as purification of crude oil, petroleum industry, polymer technology, electrostatic precipitation, irrigation, sanitary engineering, food industry etc. The flow behavior of non-Newtonian fluids cannot be described by Newtonian fluid model. For this reason various types of constitutive equations have been proposed and Oldroyed-B fluid model is one of them that has some success in describing non-Newtonian fluids. In recent years fractional calculus approach is found to be quite flexible in describing the viscoelastic fluids. In the approach the time derivative of integer order in the constitutive equation is replaced by Caputo fractional calculus operator. Charyulu and Ram [1] have investigated laminar flow of an incompressible micro polar fluid between two parallel plates with porous lining. Fetecau

Flow of power-law fluids in a cavity driven by the motion of two facing lids – A simulation by lattice Boltzmann method

The study of a non-Newtonian fluid flow behavior in mixing cavities is of great importance in process industries. In the present work, a Bhatnagar–Gross–Krook (BGK) approximation based lattice Boltzmann method (LBM) is presented to simulate non-Newtonian power law fluid flows in a double sided lid driven cavity. First, the code is validated against numerical results taken from the published sources for power law fluid flow in cavity driven by the uniform motion of lid. Next, the code is applied for two different cases-parallel wall motion and anti-parallel wall motion of two sided lid driven cavity. The influence of power law index (n) and Reynolds number (RePL) on the variation of velocity and center of vortex location of fluid has been analyzed with the help of velocity profiles and streamline plots. Additionally, we also study the effect of speed ratio on development of vortex in a cavity. Further, the effect of n on variation of drag coefficient has been presented. Finally, we present the location of vortex center and computational time required for a system to reach the steady state.

Electrokinetically-driven non-Newtonian fluid flow in rough microchannel with complex-wavy surface

A numerical investigation is performed into the flow characteristics of electrokinetically-driven non-Newtonian fluids in rough microchannels with a complex-wavy surface. In performing the simulations, the flow behavior of the non-Newtonian fluids is characterized using a power-law model and the complex-wavy surface is modeled via the superimposition of two sinusoidal functions. The simulations examine the respective effects of the flow behavior index, the non-dimensional Debye–Huckel parameter, and the complex wavy-surface geometry parameters on the flow field characteristics, volumetric flow rate and electric field intensity. The results show that the flow behavior of non-Newtonian fluids is significantly dependent on the value of the flow behavior index in the power-law model. Specifically, the volumetric flow rate increases as the flow behavior index reduces. For a pseudoplastic fluid, the volumetric flow rate increases with an increasing value of the non-dimensional Debye–Huckel parameter due to the corresponding reduction in viscosity. By contrast, for a dilatant fluid, the volumetric flow rate reduces as the Debye–Huckel parameter increases. Finally, it is shown that the velocity profile near the complex wavy surface is more sensitive to changes in the waveform geometry than that in the center of the channel. Overall, the results presented in this study provide a useful insight into the manipulation of non-Newtonian fluids within real-world microchannels characterized by surface roughness.

A novel simulation of air∕liquid bearings based on lattice Boltzmann method

A novel three dimensional (3D) simulation tool based on lattice Boltzmann method (LBM), which is more efficient than the conventional computational fluid dynamics approach, was developed to analyze the head∕disk interface (HDI) dynamics. For handling general geometrical structures, Taylor series expansion and least squares based LBM was employed to simulate the flow conditions under a model slider. Truncated power-law and Bird–Carreau models were incorporated to capture the non-Newtonian fluid flow behavior of lubricant liquid film undergoing extremely high shear rates by modifying the relaxation time as a function of shear rate. After the benchmark study of two dimensional∕3D Poiseuille flows, pressure and shear profiles under the model slider were calculated for different constitutive relationships. The results indicate that our LBM techniques could be an attractive computational tool for next generation HDI design.

Transient pressure behavior of Bingham non-Newtonian fluids for horizontal wells

Heavy oil production in horizontal wells has gained a lot of attention in Kuwait. Oosthuizen et al. [Oosthuizen, R., Al Naqi, A., Al-Anzi, K., Gok, I., Zeybek, M., Cig, K., Al Hashim, H., 2007. Horizontal-well-production logging experience in heavy-oil environment with sand screen: a case study from Kuwait. SPE 105327, 15th SPE Middle East Oil & Gas Show and Conf., Bahrain, Mar. 11-14] presented a field example of heavy oil and water flow in a horizontal well. The field example is from Kuwait in Burgan Formation which is in Managish Field. They utilized advance production logging tool with distributed velocity and hold up distribution using tracer conveyance in sand screen completion. Unfortunately in Kuwait, interpretation of heavy oil horizontal well test data is still not well-understood compared with those for vertical well. Pressure transient modeling and analysis effort in the petroleum industry in Kuwait and elsewhere has mainly concentrated on the behavior of Newtonian fluids in homogeneous and heterogeneous reservoirs. Very little information is presently available on modeling of transient flow behavior of non-Newtonian fluids in reservoirs. This work presents new procedures, similarly to the TDS technique, for analyzing transient pressure tests of Bingham non-Newtonian fluids for horizontal wells. The flow of a slightly compressible Bingham fluid is discussed, and new analytical equations based on pressure and pressure derivative behavior of horizontal wells are developed. A simple log–log plot of pressure and pressure derivative with time provides accurate results of reservoir parameters so that both type-curve matching and multiple specialized plots are avoided. A step-by-step procedure for calculating reservoir and well parameters without type curve matching or regression analysis for six different cases is included in this work.