Secondary Velocity Profiles Research Articles

Hall effect on mixed convection MHD flow of nanofluid with clean, copper and Ag water through a vertical rotating channel

AbstractThis article aims to investigate the hall current consequences on the transfer of clean water containing silver in addition to copper nanoparticles suspended nanofluids through vertical rotating channel. Boussinesq approximation is taken into consideration. Exact analytical solutions of governing equations subject to physical boundary conditions are obtained using the techniques of non‐dimensionalization. The impacts of Grashof number, radiation parameter, Prandlt number, frequency parameter, magnetic parameter, Hall parameter, parameter of rotation and its effects on primary as well as secondary velocity and temperature profiles are presented graphically. We analyze the Hall effects and mixed convection in magnetohydrodynamic (MHD) flow of nanofluids through a vertical rotating channel, based on extensive research and applications. An analytical approach is used to derive the exact solution to this problem. A comparative study for silver and copper nanoparticles is made. A tabular solution for impacts of said parameters on convection rate and skin friction coefficient is also presented. This study is applicable for geophysical dynamics and engineering applications.

Combined fluid and ferrofluid buoyancy force, heat absorption and non linear ferro-viscosity effects on ferro- hydrodynamics fluid flow in orthogonal porous surface

Mixed convection incompressible ferro-hydrodynamic (FHD) boundary layer fluid flow on vertical porous curvilinear orthogonal surfaces is examined in our present study in presence of combined fluid and ferro-fluid buoyancy force, nonlinear ferro-viscosity parameter, and heat absorption/generation effects. Design/Methodology/Approach: Types of Prandtl momentum and thermal boundary layer partial differential equations in a curvilinear system are converted into non-dimensional ordinary nonlinear differential equations (ODE) by introducing dimensionless velocities, temperature functions and similarity variable. Missing initial conditions are found by shooting method and solving the system of nonlinear ODEs by Runge-Kutta integration scheme of order six. With the help of MATLAB, the numerical solutions are graphically displayed in the forms of primary velocity profile, secondary velocity profile, and temperature profile. Three types of magnetic nano-ferrofluid are considered such as water-based ferrofluid (Taiho W-40), Hydrocarbon based ferrofluid (EMG-901) and kerosene-based ferrofluid (C1-20B) whose Prandtl numbers are 44.3, 79.3 and 128 respectively shown in Table 1. For kerosene based ferro-fluid, Table 3 presents the coefficient of skin friction and heat flux. Finding: The effects of combined fluid and ferrofluid buoyancy forces, nonlinear ferro-viscosity parameter, suction/injection, and heat absorption/generation parameters on the velocity and temperature profiles are investigated. Our physical interest is to calculate the local shearing stresses and the local heat flux at the surface. Finally, we have made comparisons of the results which are highlighted the validity of our numerical calculations adopted for the presence study.

Investigation of micropolar dusty fluid flow in a rotational frame with magnetic field: A meshless radial basis function pseudospectral approach

AbstractRotational flow has numerous applications across a wide range of fields, including industrial processes for mixing, pumping, and processing materials, geophysical fluid dynamics for studying the Earth's atmosphere and oceans, aerospace engineering for designing and testing aircraft and spacecraft, medical imaging for creating detailed images of the human body, and environmental engineering for studying the transport of pollutants in water and air. In rotational flow, pumping power is an important parameter that measures the amount of energy required to maintain the flow of the fluid in a rotating frame. It is significant because the presence of the Coriolis force and other rotational effects can substantially alter the fluid dynamics, making it difficult to maintain a steady flow. The present study deals with the flow of micropolar dusty fluid in a rotating frame under the influence of the magnetic field, applied transversely to the flow in a horizontal channel. The fluid is induced to flow between two parallel plates by the movement of the upper plate and a constant pressure gradient. A meshless radial basis function pseudospectral approach is employed to derive a set of partial differential equations that determine the primary and secondary velocity profiles of the fluid, as well as the particle and microrotation velocities and temperature distribution. The pumping power required to sustain the flow in the absence of a pressure gradient is also calculated based on these velocity profiles. The findings provide valuable insights into the behavior of micropolar dusty fluids in a rotational channel and can potentially inform the design of industrial processes involving such fluids.

Effects of Hall, ion slip, viscous dissipation and nonlinear thermal radiation on MHD Williamson nanofluid flow past a stretching sheet

This work aims to explore the effects of ion slip and Hall current on the flow of MHD Williamson nanofluid over a stretching plate in the presence of chemical reaction, viscous dissipation, ohmic (Joule) heating, nonlinear thermal radiation, and heat generation/absorption. After using appropriate similarity transformations, the highly nonlinear governing partial differential equations are transformed to a system of ordinary differential equations. The subsequent non-linear problems are treated to numerical results by reducing the converted nonlinear ODE in to first order. The fifth-order Runge–Kutta method along with the shooting approach is implemented using the python programming tool to analyze the problem. Graphical representations have been used to investigate the impacts of the derived physical parameters on the temperature, velocity, and concentration distributions of nanoparticles with the goal of giving each parameter a physical interpretation. The study of the effects of various physical parameters on the skin friction coefficient, the local Nusselt number and the Sherwood number was finally explained with the help of graphs and tables. It is discovered that when the Williamson parameter increases, both the principal and secondary velocity profiles decline but the temperature and concentration profiles rise. Both the Hall parameter and ion slip effect produce similar results with increasing principal velocity profile and decreasing secondary velocity, temperature and concentration profiles. Furthermore, it is seen that the temperature and concentration profiles increase in response to an increase in the nonlinear thermal radiation parameter. The increment in Eckert number (viscous dissipation term) also showed enhancements in temperature and concentration profiles. Additionally, the primary skin friction coefficient and rate of mass transfer are accelerated by raising the magnetic field parameter, Williamson parameter, or Darcy number, but the heat transfer rates are slowed down in the boundary layer. Lastly, the obtained results were cross-referenced with earlier findings, considering specific assumptions, to establish the credibility of the results. The comparison revealed that the new results provided valuable and profound insights into the studied phenomenon.

Hydromagnetic flow of Casson nano-fluid across a stretched sheet in the presence of thermoelectric and radiation

This work revealed the investigation of the Casson nanofluid flow's MHD (magneto-hydrodynamic) unstable boundary layer characteristics in the simultaneous transmission of thermoelectric and radiation on a stretched sheet. On MHD Newtonian and non-Newtonian (Casson) nanofluid flows, the cumulative impact of radiation and thermoelectricity has been addressed. Thermal radiation, Casson nanofluids, and MHD are pivotal in engineering and industry, transforming applications like heat exchangers, nuclear power plants, thermal energy storage, and advanced drug delivery systems. The problem-related partial differential equations have been formulated with boundary layer approximation. The boundary layer equations have been changed into dimensionless form with the help of appropriate dimensionless variables and parameters. Finite difference techniques have been employed to get the numerical solution via the FORTRAN 6.6a programming algorithm, and the numerical solutions have been illustrated graphically with the support of Tecplot-360 software. The consequences of the numerous parameters have been investigated using a variety of figures, with the amounts of the various parameters being revised. The simultaneous effects of thermoelectric and radiation on primary velocity, secondary velocity, and temperature profiles have been presented and discussed with critical physical properties such as skin friction in addition to Nusselt number. The combined effects of thermoelectric and radiation on streamlines and isotherms have been illustrated with line and contour flood views. The most significant finding is that the collective influence of thermoelectric and thermal radiation impacts promotes the physical phenomena of non-Newtonian (Casson) fluid flow comparatively more than Newtonian fluid flow. For the purpose of creating effective procedures, forecasting flow patterns, and guaranteeing product performance in a variety of industries, it is crucial to explain the Casson fluids. This model can also aid in blood flow simulation and risk assessment for thrombosis and other cardiovascular diseases.

Impact of active and passive control of nanoparticles in ternary nanofluids across a rotating sphere

The anticipation around future technologies has sparked a keen interest in the study of fluid flows, which include the intricate interplay of several aspects. The design of rotating machinery, cooling of rotating machinery parts, and fiber coating, among other applications, have all given practical importance to the issue of fluid flow from rotating surfaces. This study examines the behavior of a ternary nanofluid over a rotating sphere. Combining Tiwari and Das’s model with Buongiorno’s model is considered for the flow model. When combined with the condition of non-zero normal flux, the zero normal flux of nanoparticles at the surface aims to push the particles away from the surface. Boundary layer equations are used to formulate the physical flow problem, and after that, by using the appropriate variables, these equations are transformed into dimensionless forms. Additionally, mathematical computation software helps in obtaining a numerical solution. Utilizing graphs, it has been determined how different physical flow parameters affect the profiles of velocity, temperature, and concentration. Further, the wall’s heat and mass transfer rates and the skin friction coefficient are graphically assessed and discussed. The outcomes show that increasing acceleration and rotational parameters increases primary velocity and surface drag force while decreasing secondary velocity, temperature, and concentration profiles. The concentration is reduced by Brownian and Schmidt's numbers while increasing for thermophoresis constraint. In both active and passive management of nanoparticles, the mass distribution rate improves for thermophoresis and Brownian parameters. Solid volume fraction improves the thermal distribution while declines the concentration.

Natural convection flow of third-grade fluid along an oblique permeable micro-channel with Hall effects: an irreversibility analysis

The third-grade fluid model is one of the unique models in all the non-Newtonian fluids, which is evolved for its particular implementation in petrochemical engineering, confectionaries, earth science and lubricating systems. Hence, the current work scrutinises the entropy generation and thermal analysis of non-Newtonian fluid in a permeable oblique microchannel. The effects of heat generation, thermal radiation and Hall effects on fluids in a microchannel have been explored. The rheological expressions of third-grade fluid are considered. By considering the desirable similarity variables the equation of motion was reduced to nonlinear ordinary differential equations. The Runge–Kutta-Fehlberg’s fourth-fifth-order technique along with the shooting method was adopted to solve these dimensionless expressions. The repercussion of this investigation upholds that the enhancement of distance parameters augments the thermal field. The amplification of the porosity parameter occurs with a decrement in the thermal profile. The secondary velocity profile declines with an enhanced value of the Hall parameter and seen improvement in the primary velocity profile.

VISCOSITY AND HALL EFFECTS ON UNSTEADY MHD CASSON FLUID FLOW THROUGH A PARALLEL POROUS PLATE

This study investigates the temperature viscosity and Hall effects of a Casson fluid flow through a porous medium of a viscous incompressible fluid bounded by two parallel porous plates under the influence of thermal radiation and chemical reaction. A uniform suction and injection are applied perpendicular to the plates while the fluid motion is subjected to variable pressure gradient. The transformed conservation equations are solved analytically subject to physically appropriate boundary conditions by using perturbation and Eigenfunction expansion techniques. The influence of a number of emerging non-dimensional parameters namely, variable pressure gradient parameter, suction parameter, radiation parameter and Hartman number are examined. It is observed that the primary velocity profile is increased with increasing temperature dependent viscosity while increase in Hall parameter leads to increase in secondary velocity profile of the flow.

Nonlinear convection unsteady flow of electro-magnetohydrodynamic Sutterby hybrid nanofluid in the stagnation zone of a spinning sphere

The heat transfer characteristics of Sutterby hybridized nanofluid flow around a spinning sphere in electro-magnetohydrodynamic nonlinear convective unsteady stagnation point flow are investigated under the influence of convective heating circumstances and quadratic thermal radiation flux. Initially, the AA7072/methanol nanofluid is created by dispersing AA7072 nanoparticles into the methanol. The suitable AA7072+AA7075/ methanol hybrid nanofluid is then created by mixing AA7075 with AA7072/methanol. The governing equations are initially built as partial differential equations, which are subsequently converted to ordinary differential equations by using a similarity transmutation technique. In the study, the numerical technique of the bvp4c solver in Matlab is used. Physical factors’ effects on temperature, concentration, and primary and secondary velocity profiles have been studied. As a result of greater unsteadiness, the magnetic field, and Sutterby fluid parameters, the flow of AA7072/methanol nanofluid and (AA7072+AA7075)/ methanol hybrid nanofluid in the flow region moves quickly in the primary direction and slowly in the rotating direction. The result also demonstrates that a rise in the thermal radiation constraint, temperature ratio parameter, magnetic field constraint, electric field constraint, ϕAA7072, and ϕAA7075 causes a rise in the temperature distribution of the (AA7072+AA7075)/methanol hybrid nanofluid and the AA7072/methanol nanofluid. Furthermore, the strongest enhancement in heat transmission rate happens at a volumetric fraction of 4% of (AA7072+AA7075) nanoparticles and AA7072 nanoparticles (i.e., increased by 5.135827% and 4.370679% when compared with ordinary fluid, respectively). The findings of the study have implications for nano-coating spin processing in the chemical engineering industry, spray applications of agricultural chemicals, drag reducers in pipe flows, and the production of domestic cleaning products.

Slip Condition Effects on Unsteady MHD Fluid Flow with Radiative Heatflux over a Porous Medium

The objective of this paper is to study unsteady magneto hydrodynamic (MHD) free flow of viscoelastic fluid (Walter’s B) past an infinite vertical plate through porous medium. The temperature is assumed to be oscillating with time. The solution obtained shows different profiles of effects of slip conditions on primary and secondary velocity. Also, the effects of various parameters on temperature, concentration, primary and secondary velocity profiles were presented graphically. The result indicated the secondary velocity is enhanced with increase in slip parameter. Primary velocity demonstrated opposite trend.

Three-dimensional rotating flow of Cu–Al2O3/kerosene oil hybrid nanofluid in presence of activation energy and thermal radiation

The present exploration talks to a steady and incompressible chemically reacting hybrid-nanofluid rotating flow toward a stretchable sheet in presence of activation energy and magnetic field. We have chosen kerosene oil as base fluid and two nanoparticles specifically Al2O3 and Cu for hybrid-nanofluid and Al2O3 for regular nanofluid. Relative studies of imprint factors between hybrid nanofluid and customary nanofluid have been implemented for our present article. The leading system of PDEs subject to their compatible boundary conditions are renovated into a system of ODEs and then resolved by the Runge–Kutta–Fehlberg quadrature method with shooting practice. The stimulus of ignite flow parameters on the flow precise is carried off accurately through figures, bar diagrams and tables. Our analysis conveys that the primary velocity profiles for both hybrid and regular nanofluid diminish with intensifying values of Hartmann number and rotational parameter, however secondary velocity profile enhances with augmentation of the rotational parameter. Temperature profiles of both category fluids lead to increase with growing values of radiation parameter and Hartmann number, whereas opposite phenomena observe for concentration profiles with improving values of chemical reaction parameter. Again, rate of heat transfer diminishes sharply for leading Hartmann number.

Impact of convection on three dimensional Casson rotatory fluid over an extending sheet: A numerical approach

Natural convection occurs in fluid environments. Usually, it is facilitated by the buoyancy effect. It is significantly less efficient than forced convection, due to the lack of fluid motion. As a result, it is completely dependent on the buoyancy effect's strength and the fluid's viscosity. The current work investigates the convective flow of a three-dimensional Casson fluid across a rotating linear expanding sheet. The nonlinear governing equations of the steady flow were presented and reconstructed using appropriate similarity transformations. To solve the resultant equations, the three-stage collocation approach namely Lobatto IIIA was applied using MATLAB. Graphs were used to illustrate the physical properties of the required data. It was observed that while the primary velocity profile decreases as the Casson, convective, and rotational parameters increase, the secondary velocity profile exhibits the opposite behaviour. The effect of rotation, Casson parameter, and others on drag coefficient, heat transfer coefficient, and mass transfer coefficient was evaluated, interpreted, and found to be reasonably consistent with earlier research.

Scrutinization of Slip Due to Lateral Velocity on the Dynamics of Engine Oil Conveying Cupric and Alumina Nanoparticles Subject to Coriolis Force

This study is an attempt to investigate the three-dimensional flow of engine oil-based nanofluid under the impact of rotation and partial slip phenomenon over a stretchable surface. Partial slip condition is incorporated into the system at boundaries and the arising quotient of angular speed to stretching constant is regarded as rotation impression on freely moving three-dimensional flow of copper oxide-engine oil and aluminum oxide-engine oil nanofluid. The designed problem has been tackled numerically with the boundary value problem technique, this numerical mechanism requires one to transform the flow governing highly nonlinear PDEs into first-order differential equations along with associated boundary conditions. This procedure is carried out by employing a suitable similarity transformation. The investigation determines the impact of slip and rotation on primary and secondary velocity profiles, shear stress rates, and heat transfer coefficient. Minimum skin friction and Maximum Nusselt number has been observed for CuO − Engine Oil nanofluid under partial slip parameter as compared to Al 2 O 3 − Engine Oil nanofluid. Reduced skin coefficients were achieved for both nanofluids. Moreover, the outcomes of the study have been related with already available literature and were found in good agreement.

Insight into the Significance of Viscous Dissipation and Heat Generation/Absorption in Magneto-Hydrodynamic Radiative Casson Fluid Flow With First-Order Chemical Reaction

This study is an attempt to explore two-dimensional magneto-hydrodynamic Casson fluid flow with heat generation or absorption, chemical reaction, and viscous dissipation under the effect of thermal radiation. Prescribed surface temperature (PST) and prescribed heat flux (PHF) cases have been taken into account to investigate the problem. The constitutive relations for Casson fluid incorporated with suitable boundary layer approximation theory have been utilized to achieve the flow model equations. The obtained highly non-linear partial differential equations cannot be solved analytically, so we transform them into first-order differential equations, then tackle them with the boundary value problem (BVP-4c) technique in Matlab. Radiation increment decreases primary and secondary velocity profiles abruptly in both cases. Heat generation and absorption augmentation decrease the thermal and momentum boundaries for both studied cases. The skin coefficient for PHF cases has decreased 80% when compared with PST cases. The increment in Casson parameter has enhanced the Nusselt number by 75% for the PST case, whereas the decline in Nusselt number has doubled for the PHF case with the increase in magnetic field. It is concluded that, with the increment in Casson fluid, magnetic, radiation, and permeability parameter the Nusselt number has significantly increased for the PST case. However, for these parameters, an abrupt decline in Nusselt number has been observed for the PHF case. Results reported in this study for shear stress and Sherwood number are in complete agreement with already published previous work.

Effect of Hall current on the flow and heat transfer of non-Newtonian power-law nanofluid in the presence of Cattaneo–Christov heat flux and free stream

The nanofluids are a recent challenging task in a nanotechnology field used in heat transfer enhancement for base fluids. The major purpose of this research is to examine the influences of Hall current on the non-Newtonian power-law nanofluid on an exponentially extending surface. Implementation in the Cattaneo–Christov heat flux and the free stream is performed to analyze the thermal relaxation features. Entropy generation evaluation and Bejan number during the convection flow are investigated. The Runge–Kutta–Fehlberg method is employed to resolve the transformed governing nonlinear equations. The impacts of the key physical factors on the profiles of primary and secondary velocities, temperature and entropy generation are discussed across the graphs. The local skin-friction coefficients, Nusselt and Sherwood numbers are demonstrated in a tabular form under the impacts of key physical parameters. Two different types of power-law indicators including pseudoplastic fluid [Formula: see text] and dilatant fluid [Formula: see text] are conducted. The results indicated that the flow speed decreases at dilatant fluid compared to pseudoplastic fluid due to higher viscosity. Increasing Hall current parameter powers the axial and secondary velocity profiles. Thermophoresis parameter powers the profiles of the temperature, nanoparticle volume fraction and local entropy generation. The dilatant fluid [Formula: see text] gives higher values of [Formula: see text] and [Formula: see text] compared to the pseudoplastic fluid [Formula: see text].

Hall and ion‐slip effects on mixed convection flow of Williamson nanofluid over a nonlinear porous stretching sheet with variable thermal conductivity

AbstractThe intent of this investigation is to analyze the Williamson nanofluid stream past a nonlinearly broadening surface through a leaky medium in the existence of mixed convection, Hall, ion‐slip, thermal radiation, and viscous dissipation impacts. Suitable similitude changes give joined nonlinear differential schemes, which were numerically explained via spectral relaxation method. Effectiveness of various physical parameters on velocity ingredients, temperature, and nanoparticle concentration distributions alongside the physical quantities of interests was uncovered graphically. It is found that both velocity profiles increment with an expansion in the Hall parameter. Also, the opposite behavior is noticed for the primary and auxiliary velocity profiles as the ion‐slip parameter rises. Moreover, it is observed that the primary velocity and concentration profiles expand with an expansion in the velocity power index parameter, however, the secondary velocity profile reduces. Further, it was showed that the fluid velocities decay while temperature distribution advances by the superior values of the Williamson fluid parameter. Finally, the authenticity of the outcomes was confirmed by contrasting them with prior outcomes under some limited presumptions and discovered to be in terrific understanding.

Influence of Hall current and rotation on the radiative MHD flow past an impulsively started infinite vertical porous plate

The present investigation deals with the effects of hall current, and Soret number on the non linear, radiative, unsteady, hydromagnetic natural convection flow of an optically thick rotating fluid past an impulsively started vertical porous plate. Exact analytical solution of the non-dimensional governing equations is obtained in closed form by using Laplace transform technique. The numerical values of primary and secondary velocity profiles are displayed graphically for different values of pertinent flow parameters.

Double Diffusion Non-Isothermal Thermo-Convective Flow of Couple Stress Micropolar Nanofluid Flow in a Hall MHD Generator System

Nanofluids are potential liquids that enhance the thermophysical characteristics and the ability to transport heat rather than base liquids. This article discusses the non-isothermal heat transfer of the convective steady flow of magnetohydrodynamic micropolar nanofluid over a non-linear extended wall, considering the effects of Brownian motion and thermophoresis, coupled stress, hall current and viscous dissipation effects. Fluid flow is controlled by a high magnetic field. The system of equations is resolved using the Homotopy Analysis Method (HAM) technique and the results are visualized graphically. The effects of different fluid parameters summarizing the problem behavior on primary, secondary and angular velocity, temperature, volume fraction and nanoparticle concentration profiles are measured using graphs. The primary velocity component decreased throughout the entire flow study with magnetic, couple stress and Hall parameters. The large magnetic field parameter and the smaller couple stress parameter lower the secondary velocity, while the increase of the local Grashof number increases the secondary velocity. The strong magnetic parameter, the local Grashof number and the couple stress parameter reduce the angular velocity as observed. The large magnetic parameter, Grashof number, Hall parameter and radiation parameter reduces temperature, while the temperature increases with the increase in Brinkman number and Prandtl number. Brownian motion and thermophoresis encourage the transfer of heat. Tables are used to highlight the impact of dimensionless parameters on the skin friction coefficient, Nusselt and Sherwood numbers.

Influence of Soret and Dufour on Free Convective Second Grade Fluid Flow Between Porous Parallel Plates with Chemical Reaction

The present article examines the thermal-diffusion and diffusion-thermo effects on an unsteady incompressible natural convective flow and heat transfer of chemically reacting second grade fluid between parallel plates through non-Darcy porous medium. Assume that there is a periodic suction/injection along the plates and the concentration and temperature are changing periodically with time. Also the periodic heat flux is considered at the lower plate. The governing equations of momentum, temperature and concentration are converted as non-linear ordinary differential equations by using suitable similarity transformations then solved numerically with the shooting method along with Runge–Kutta method of fourth order. The results are described for primary and secondary velocity profiles, temperature and concentration distributions, heat and mass transfer rates with respect to distinct fluid and geometric parameters and shown through graphs and tables. The temperature distribution of the fluid increases with a Soret number, whereas the concentration distribution of the fluid is downturn with increasing of the chemical reaction parameter.

Computational manipulation of a radiative MHD flow with Hall current and chemical reaction in the presence of rotating fluid

A numerical analysis of transient radiative MHD(MagnetoHydroDynamic) natural convective flow of a viscous, incompressible, electrically conducting and rotating fluid along a semi-infinite isothermal vertical plate is carried out taking into consideration Hall current, rotation and first order chemical reaction.The coupled non-linear partial differential equations are expressed in difference form using implicit finite difference scheme. The difference equations are then reduced to a system of linear algebraic equations with a tri-diagonal structure which is solved by Thomas Algorithm. The primary and secondary velocity profiles, temperature profile, concentration profile, skin friction, Nusselt number and Sherwood Number are depicted graphically for a range of values of rotation parameter, Hall parameter,magnetic parameter, chemical reaction parameter, radiation parameter, Prandtl number and Schmidt number.It is recognized that rate of heat transfer and rate of mass transfer decrease with increase in time but they increase with increasing values of radiation parameter and Schmidt number respectively.