non-Newtonian Micropolar Fluid Research Articles

Electro osmotically interactive biological study of thermally stratified micropolar nanofluid flow for Copper and Silver nanoparticles in a microchannel

A novel mathematical analysis is established that summits the key features of peristaltic propulsion for a non-Newtonian micropolar fluid with the electroosmosis and heat transfer enhancement using nanoparticles. In such physiological models, the channel have a symmetric configuration in accordance with the biological problem. Being mindful of this fact, we have disclosed an integrated analysis on symmetric channel that incorporates major physiological applications. The creeping flow inference is reviewed to model this realistic problem. Flow equations are model using cartesian coordinates and simplified using long wave length and low Reynolds number approximation. Nonlinear linear couple equations are solving numerically. We have studied the variation in the properties of nanofluid developed by two different types of nanoparticles (i.e. Cu and Ag nanoparticles). Graphical illustrations are unveiled to highlight the physical aspects of nanoparticles and flow parameters. The exploration demonstrates that the micro-rotation of the nano-liquid elements enhances the thermal conductivity of the fluid movement. The effect of micropolar fluid parameters on mean flow and pressure variables is also presented.

Well-posedness for heat conducting non-Newtonian micropolar fluid equations

<abstract><p>In this paper, we consider the first boundary value problem for a class of steady non-Newtonian micropolar fluid equations with heat convection in the three-dimensional smooth and bounded domain $ \Omega $. By using the fixed-point theorem and introducing a family of penalized problems, under the condition that the external force term and the vortex viscosity coefficient are appropriately small, the existence and uniqueness of strong solutions of the problem are obtained.</p></abstract>

Hiemenz stagnation point flow of a second-order micropolar slip flow with heat transfer

Purpose This paper aims to study a non-Newtonian micropolar fluid flow over a bidirectional flexible surface for multiple exact solutions of momentum boundary layer and thermal transport phenomenon subject to wall mass flux, second-order slip and thermal jump conditions. Design/methodology/approach The coupled equations are transformed into ordinary differential equations using similarity variables. Analytical and numerical techniques are used to solve the coupled equations for single, dual or multiple solutions. Findings The results show that the stretching flow, shrinking flow, the wall drag, thermal profile and temperature gradient manifest large changes when treated for special effects of the standard parameters. The role of critical numbers is definitive in locating the domains for the existence of exact solutions. The nondimensional parameters, such as mass transfer parameter, bidirectional moving parameter, plate deformation strength parameter, velocity slips, material parameter, thermal jump and Prandtl number, are considered, and their physical effects are presented graphically. The presence of governing parameters exhibits special effects on the flow, microrotation and temperature distributions, and various exact solutions are obtained for the special parametric cases. Originality/value The originality and value of this work lie in its exploration of non-Newtonian micropolar fluid flow over a bidirectional flexible surface, highlighting the multiple exact solutions for momentum boundary layers and thermal transport under various physical conditions. The study provides insights into the effects of key parameters on flow and thermal behavior, contributing to the understanding of complex fluid dynamics.

A new explicit numerical scheme for enhancement of heat transfer in Sakiadis flow of micro polar fluid using electric field

This article suggests a fourth-order numerical approach for solving ordinary differential equations (ODEs) that are both linear and nonlinear. The suggested scheme is an explicit predictor-corrector scheme. For linear ODE, the proposed numerical scheme's stability area is discovered. The proposed strategy yields the same stability region as the traditional fourth-order Runge-Kutta method. In addition, partial differential equations (PDEs) are used to develop the mathematical model for the flow of non-Newtonian micro-polar fluid over the sheet and heat and mass transit using electric field effects. These PDEs are further transformed into dimensionless boundary value problems. Boundary value problems are resolved using the proposed shooting-based scheme. The findings show that increasing values of ion kinetic work and Joule heating parameters cause the temperature profile to climb. The results produced by the suggested strategy are compared to those discovered through earlier studies. The results of this study could serve as a starting point for future fluid-flow investigations in a secure industrial environment.

EMHD flow and convective heat transfer over a prescribed surface temperature (PST) and prescribed heat flux (PHF) heating condition

Mixed convection describes the combined effects of free and forced convection. It’s used extensively in technical projects including solar collectors, electronics, and nuclear power plants. When buoyancy force dominates the forced convective process or when forced flow dominates the free convective process, such a process is taking place. The authors of this study pondered the situation in which a non-Newtonian micropolar fluid flows steadily and incompressible past an expanding sheet. We have used elements of EMHD, velocity slip, and mixed convection to achieve this. The set of equations administered flow of fluid is converted into ordinary differential equation by suitable variables. MATLAB software’s bvp4c code is used to find the solutions of reduced equations. The influence of different parameters on velocity profile and temperature profile are illustrated. From the outcomes, it is stipulated that the increasing parameter the and temperature distributions exhibit an increasing trend. Additionally, when we increase the value of we see a decreasing trend in the temperature distribution for both the and instances.

How do the Intravenously Injection of Nanoparticle and Oxytatic Bacteria Affect Through Circular Cylinder Cell for Non-Newtonian Micropolar Fluid: Mathematical Approach

In this paper, we have researched the conduct of non-Newtonian micropolar nanofluid flow through horizontal circular under the impacts of nanoparticles, oxytatic bacterial and Hall current effects. The utilizations of the current investigation are exceptionally powerful in biomedical therapies, for example, obliteration of malignant growth over biological cells by utilizing drug conveyance of nanoparticles and oxytatic microscopic organisms. If there should arise an occurrence of biological nanofluid it’s accepted to concern variable physical parameters which rely on the nanofluid temperature. Implicit Chebyshev pseudospectral (ICPS) technique by helping MATHEMATICA software has been applied to governing nonlinear system of dimensionless partial differential equations (PDEs). The nanofluid velocity, microrotation angular velocity, temperature, motile bacterial density distributions, oxygen concentration, local skin friction coefficient, Nusselt number, and wall motile density gradient distributions are delineated graphically for various variable physical parameters, likewise comparison between certain results in literature and our current output is introduced and great arrangement is found.

Magnetohydrodynamic Micropolar Fluid Squeeze Film Lubrication between Stepped Porous Parallel Plates

Objectives: The primary goal of this paper is to study the influence of MHD and micropolar fluid on the squeeze film lubrication between stepped porous parallel plates. Method: The non-Newtonian micropolar fluid MHD Reynolds type equation is derived by considering the flow of micropolar fluid in the porous matrix as described by Darcy’s law, as well as microstructure additives and magnetic effects associated with the magnetization of the fluid. The numerical solutions are presented graphically for the MHD squeeze film characteristics for various values of coupling number parameter, characteristic material length, and magnetic Hartmann number. Findings: According to the results, the micropolar fluid and the magnetic effects significantly influence the squeeze film characteristics. Comparing the MHD micropolar fluid impact on the squeeze film lubrication with the corresponding Newtonian and non-magnetic cases, we observe that there is a significant increase in the approaching time and the load-carrying capability. The increase in the step height decreases the squeezing film time. Novelty: The original research was conducted on the magneto-hydrodynamic micropolar fluid squeeze film lubrication between stepped porous parallel plates which has not been studied so far. The effect of applied magnetic field is to enhance the load carrying capacity and delayed time of approach which are the most desirable characteristics for improving the bearing performance. Keywords: Squeeze Film; Stepped plates; Magnetohydrodynamic; Porous; Micropolar

A novel nonlinear diffusion model of magneto-micropolar fluid comprising Joule heating and velocity slip effects

The impact of heat-conduction and substantial rheological model of non-Newtonian micropolar fluid, which usually features linear reflection, could not properly grab the true performance. A novel nonlinear substantial model of micropolar fluid with magnetohydrodynamic, viscous dissipation, and Joule heating is applied for the heat transfer and boundary layer flow. Like shear thinning or thickening fluids, a nonlinear power-law model describes the angular velocity, which effectively explains the non-Newtonian attributes of micropolar fluids, and it is generalized successfully by the n-diffusion theory. Further, we have used the velocity slip conditions. The non-similar equations are derived and solved numerically by bvp4c MATLAB built-in function. The results are verified in the limiting case. Graphical results for the heat and fluid flow and also for the Nusselt number help to see the impact of emerging parameters. It is observed through this study that the skin friction and Nusselt number both decline for the increasing power-law index and the micro-rotational and transient velocity both get slow for the higher slip parameter. Further, the thermal boundary layer thickness dramatically reduces for the very large Prandtl number.

Modelling and numerical computation for flow of micropolar fluid towards an exponential curved surface: a Keller box method

The numerical analysis of MHD boundary layer non-Newtonian micropolar fluid due to an exponentially curved stretching sheet is developed in this study. In the energy equation effects of viscous dissipation are included. For the mathematical description of the governing equations curvilinear coordinates are used. By utilizing exponential similarity variables, the modelled partial differential equations (PDEs) are reduced into ordinary ones. The resultant non-linear ODEs are numerically solved with two methods shooting and Keller box method. The study reveals that the governing parameters, namely, radius of curvature, material parameter, magnetic parameter, Prandtl number and Eckert number have major effects on the fluid velocity, micro-rotation velocity, surface friction, couple stress and heat transfer rate. The results indicate that the magnetic field diminishes the fluid velocity inside the hydrodynamics boundary layer whereas it enhances the temperature inside the thermal boundary layer. Microrotation profile decreases near the surface, as the magnetic parameter and radius of curvature increases but far away behavior is opposite. The material parameter enhances the velocity and microrotation profile whereas, opposite behaviors is noticed for the temperature distribution. Obtained outcomes are also compared with the existing literature and the comparison shows a good agreement with existing studies.

Numerical Investigation of MHD Pulsatile Flow of Micropolar Fluid in a Channel with Symmetrically Constricted Walls

This article presented an analysis of the pulsatile flow of non-Newtonian micropolar (MP) fluid under Lorentz force’s effect in a channel with symmetrical constrictions on the walls. The governing equations were first converted into the vorticity–stream function form, and a finite difference-based solver was used to solve it numerically on a Cartesian grid. The impacts of different flow controlling parameters, including the Hartman number, Strouhal number, Reynolds number, and MP parameter on the flow profiles, were studied. The wall shear stress (WSS), axial, and micro-rotation velocity profiles were depicted visually. The streamlines and vorticity patterns of the flow were also sketched. It is evident from the numerical results that the flow separation region near constriction as well as flattening of the axial velocity component is effectively controlled by the Hartmann number. At the maximum flow rate, the WSS attained its peak. The WSS increased in both the Hartmann number and Reynolds number, whereas it declined with the higher values of the MP parameter. The micro-rotation velocity increased in the Reynolds number, and it declined with increment in the MP parameter.

An inclined magnetic field effect on entropy production of non-miscible Newtonian and micropolar fluid in a rectangular conduit

The present work concerns with an entropy production of two-phase non-miscible Newtonian and micropolar fluid in a rectangular conduit. In this model, the flow regime is divided in two distinct parts in such a way that Newtonian fluid takes place in the lower portion of the channel whereas non-Newtonian micropolar fluid flows in upper half of the channel. The walls of rectangular channel are kept at constant temperature and a constant pressure gradient is applied at the entrance zone of the rectangular conduit. The no slip boundary conditions are imposed on static walls of the channel and linear velocity, shear stress, microrotational velocity and thermal flux are considered continuous at the interface part of the channel. An analytical solution of the concerned governing partial differential equation which has been reduced in an ordinary differential equation for the considered problem, is obtained. Moreover, the momentum and energy equations are utilized to obtain the entropy production number and Bejan number. However, the impact of numerous hydrodynamic and thermal parameters such as inclination angle parameter, Reynolds number, micropolarity parameter, Hartmann number, viscous dissipation parameter on the fluid flow, thermal exchange, entropy production number and Bejan number are figure out graphically. The findings is verified with the previously estabished results. The present analysis is utilized in petroleum industries.

Analysis of immiscible Newtonian and non-Newtonian micropolar fluid flow through porous cylindrical pipe enclosing a cavity

In the considered problem, we presented a model for the flow of immiscible fluids (non-Newtonian and Newtonian) through the cylindrical pipe. Cylindrical pipe is constituted by two porous cylindrical shell enclosing a cylindrical cavity. Non-Newtonian (micropolar) fluid is flowing through the middle porous cylindrical shell, and other immiscible Newtonian fluids are flowing through the cavity and outer porous cylindrical shell. The flow of fluid through the outer porous cylindrical shell and cavity is governed by well-known Brinkman and Stoke’s equation, respectively. However, the flow of micropolar fluid through the middle porous cylindrical shell is governed by the field equation given by Eringen (Springer, Berlin, 2001). An analytical solution of the problem has been obtained by using the justified boundary conditions. The effects of various non-dimensional parameters such as permeability parameters, micropolar parameter, and viscosity ratio on the linear flow velocity, microrotational flow velocity and flow rate are examined graphically. The results are validated with the help of previously established result.

Behavior of ferromagnetic Fe2SO4 and titanium alloy Ti6Al4v nanoparticles in micropolar fluid flow

The nature of Titanium alloy magnetized nanoparticles in non-Newtonian micropolar fluid flow over moving sheet is executed in this research. The model of heat diffusion initiated by Cattaneo and Christov is employed for energy transfer exploration. The Darcy's formula of porosity is employed for the modeling of porous medium term in momentum expression. Further, the non-linear thermal radiation behavior is accounted. Runge-Kutta approach lead to the solutions of nonlinear dimensionless expressions. Solutions of physical phenomenon are plotted by considering distinct values of involving material constraints. The solutions corresponding to Fe2So4 and Ti6Al4v nanoparticles are compared and discussed. We noted that the velocity f ' (η) against stronger magnetic field M is higher in case of Fe2So4-nanoparticles as comparative to Ti6Al4v-nanoparticles. Temperature θ(η) is higher for Fe2So4-nanoparticles as compared to flow in presence of Ti6Al4v-nanoparticles by enhancing the values of Biot number.

Study of Heat and Mass Transfer in MHD Flow of Micropolar Fluid over a Curved Stretching Sheet

A comprehensive investigation of mass and heat transfer in magnetohydrodynamics (MHD) flow of an electrically conducting non-Newtonian micropolar fluid because of curved stretching sheet is presented. Flow is originated by stretching of curved sheet by means of linear velocity. Concentration and energy equations are incorporated to study repercussion of mass and heat transfer. To define basic equations of the model, curvilinear coordinates are used. The transformed BL (boundary layer) equations for the momentum, concentration, angular momentum and temperature with appropriate boundary conditions are numerically solved by SOR (successive over relaxation) algorithms combined with the quasi-linearization technique. Flow features such as temperature fields, micro rotation, velocity and concentration are appraised for manipulation of pertinent parameters. The radius of curvature enhances the temperature and concentration whereas it declines micro-rotation as well as velocities of the fluid. It is significant to notice that magnetic field interaction is caused counterproductive in increasing concentration distribution and fluid temperature while diminishing micro-rotation and velocities at all domain flow points. As schmidt number increases concentration of fluid reduces.

Effects of Surface Roughness and Non-Newtonian Micropolar Fluid Squeeze Film Between Truncated Conical Bearings

Effects of Surface Roughness and Non-Newtonian Micropolar Fluid Squeeze Film Between Truncated Conical Bearings

Micropolar mixed convective flow with Cattaneo-Christov heat flux: Non-fourier heat conduction analysis

The purpose of this study is to investigate the impact of thermal relaxation time on the mixed convection flow of non-Newtonian micropolar fluid over a continuously stretching sheet of variable thickness in the presence of transverse magnetic field. An innovative and modified form of Fourier?s law, namely, Cattaneo-Christov heat flux is employed in the energy equation to study the characteristics of thermal relaxation time. The governing equations are transformed into ODE, using similarity transformations. Fourth order Runge-Kutta numerical method is used to solve these equations. The effects of relevant parameters such as a micro-rotation parameter, magnetic parameter, thermal relaxation parameter, Prandtl number, surface thickness parameter, and mixed convection parameter, on the physical quantities are graphically presented. Results illustrate that fluid temperature enhances with the rise of thermal relaxation parameter, but it reduces with an increase in micro-rotation parameter. The skin friction decreases with a rise in micro-rotation and micro-element parameters. However, variation in the rate of heat transfer is quite significant for small values of thermal relaxation parameter.

Hydrodynamical Study of Micropolar Fluid in a Porous-Walled Channel: Application to Flat Plate Dialyzer

This article investigates the two-dimensional creeping flow of a non-Newtonian micropolar fluid in a small width permeable channel. Fluid is absorbed through permeable walls at a variable rate. This situation arises in filtration and mass transfer phenomena in industrial and engineering processes. The exact solution of the equations of motion is obtained. Graphs of the velocity profiles and pressure drop reveal the significant impact of the non-Newtonian nature of the micropolar fluid on the flow. The obtained solutions are used to discuss the hydrodynamical aspects of the physiological phenomenon of blood filtration in an artificial kidney, the flat plate dialyzer (FPD). Expressions for finding the ultrafiltration rate and mean pressure drop in an FPD are derived. Ultrafiltration rate and the mean pressure difference in an FPD are computed using derived expressions. A comparison of these with the existing empirical and experimental results shows a good agreement. For certain values of parameters, the derived form of the flow rate reveals that the axial flow rate in an FPD decays exponentially along the membrane length. This is a well-established and admitted result used by several researchers for studying the hydrodynamics of blood flow in renal tubules of kidneys. It is concluded that the presented model can be used to study the hydrodynamical aspects of blood flow in an FPD.

Aspects of homogeneous-heterogeneous reactions on natural convection flow of micropolar fluid past a permeable cone

Boundary layer solutions are introduced in order to provide a numerical treatment of nonlinear steady natural convection flow of non-Newtonian micropolar fluid due to an isothermal vertical permeable cone with the impact of homogeneous-heterogeneous reactions. The resulting transformed boundary layer flow equations are solved numerically by the aid of implicit finite difference technique. Additionally, the fluctuations of skin friction, couple stress coefficients and Nusselt number for various interesting sundry parameters are depicted graphically and discussed. From the obtained results, the coefficient of couple stress increases for larger values of surface temperature exponent n whereas reverse trend is clarified through vortex viscosity parameter K. Once again, it is found from current contribution that concentration of the micropolar fluid is decreases function by increasing the strength of homogeneous and heterogeneous reactions. The code of numerical technique is validated by comparing our data with previous published contributions and a good agreement is given.

Piezo-Viscous Dependency and Surface Roughness Effects on the Squeeze Film Characteristics of Non-Newtonian Micropolar Fluid in Conical Bearings

Piezo-Viscous Dependency and Surface Roughness Effects on the Squeeze Film Characteristics of Non-Newtonian Micropolar Fluid in Conical Bearings

Numerical study on magnetohydrodynic CNTs-water nanofluids as a micropolar dusty fluid influenced by non-linear thermal radiation and joule heating effect

Numerical study on magnetohydrodynic (MHD) flow and heat transfer of incompressible CNTs-water nanoparticles (single wall carbon and tube (SWCNT) and multiwall cabin nanotube (MWCNT)) as a non-Newtonian micropolar dusty fluid influenced by non-linear thermal radiation and joule heating effect over stretching plate are investigated in this paper. The governing equations have been solved by numerical method. Flow and heat transfer for two cases of prescribed heat flux (PHF) and prescribed surface temperature (PST) are analyzed, As a important result have been mentioned to the reduction of velocity profile due to the Lorentz force by increasing magnetic field parameter, the temperature profile increases by increasing radiation parameter, and MWCNT in comparison to the SWCNT has a greater effect on velocity profile also SWCNT in compared to the MWCNT has a greater effect on temperature profile and heat transfer.