Flow Of Oldroyd-B Nanofluid Research Articles

RETRACTED: Passive control of nanoparticles in stagnation point flow of Oldroyd-B nanofluid with aspect of magnetic dipole

The present research focuses on nanoparticle suspensions and flow properties in the context of their applications. The application of these materials in biological rheological models has piqued the attention of many researchers. Magneto nanoparticles have an important function in controlling the viscoelastic physiognomies of ferrofluid flows. Having such substantial interest in the flow of ferroliquids our vision is to discuss the stagnation point flow of ferromagnetic Oldroyd-B nanofluid through a stretching sheet. The Buongiorno nanofluid model with Brownian motion and thermophoretic properties is examined. A chemical reaction effect and porous medium is also taken into account. Moreover, the modelled equations are changed to ordinary differential equations (ODEs) using suitable similarity transformations. Which are then solved using classical Runge-Kutta (RK) process with shooting technique. The solutions for the flow, thermal, concentration, skin friction, rate of heat and mass transfer features are attained numerically and presented graphically. The significant results of the current study are that, the growing values of ferromagnetic interaction parameter and porosity parameter declines the velocity profile. The rising values of chemical reaction rate parameter and Brownian motion parameter declines the mass transfer but inverse behaviour is seen for augmented values of thermophoresis parameter.

Convective transport of thermal and solutal energy in unsteady MHD Oldroyd-B nanofluid flow

In this work, an analysis is presented for the unsteady axisymmetric flow of Oldroyd-B nanofluid generated by an impermeable stretching cylinder with heat and mass transport under the influence of heat generation/absorption, thermal radiation and first-order chemical reaction. Additionally, thermal and solutal performances of nanofluid are studied using an interpretation of the well-known Buongiorno’s model, which helps us to determine the attractive characteristics of Brownian motion and thermophoretic diffusion. Firstly, the governing unsteady boundary layer equation’s (PDEs) are established and then converted into highly non-linear ordinary differential equations (ODEs) by using the suitable similarity transformations. For the governing non-linear ordinary differential equations, numerical integration in domain [0, ∞) is carried out using the BVP Midrich scheme in Maple software. For the velocity, temperature and concentration distributions, reliable results are prepared for different physical flow constraints. According to the results, for increasing values of Deborah numbers, the temperature and concentration distribution are higher in terms of relaxation time while these are decline in terms of retardation time. Moreover, thermal radiation and heat generation/absorption are increased the temperature distribution and corresponding boundary layer thickness. With previously stated numerical values, the acquired solutions have an excellent accuracy.

Irreversibility minimization analysis of ferromagnetic Oldroyd-B nanofluid flow under the influence of a magnetic dipole

Studies highlighting nanoparticles suspensions and flow attributes in the context of their application are the subject of current research. In particular, the utilization of these materials in biomedical rheological models has gained great attention. Magneto nanoparticles have a decisive role in the ferrofluid flows to regulate their viscoelastic physiognomies. Having such substantial interest in the flow of ferrofluids our objective is to elaborate the melting heat transfer impact in a stretched Oldroyd-B flow owing to a magnetic dipole in the presence of entropy generation optimization. Buongiorno nanofluid model expounding thermophoretic and Brownian features are considered. Moreover, activation energy with chemical reaction is also considered. The Cattaneo–Christov heat flux model is affianced instead of conventional Fourier law. The renowned bvp4c function of MATLAB is utilized to handle the nonlinearity of the system. Impacts of miscellaneous parameters are portrayed through graphical fallouts and numeric statistics. Results divulge that the velocity and temperature profiles show the opposite trend for growing estimates of the ferromagnetic parameter. It is also noticed that the temperature ratio parameter diminishes the entropy profile. Moreover, it is seen that the concentration profile displays a dwindling trend for the Brownian motion parameter and the opposite trend is witnessed for the thermophoretic parameter.

Bioconvection analysis for flow of Oldroyd-B nanofluid configured by a convectively heated surface with partial slip effects

The improved thermal mechanism of nano-scale particles has attended a special focus of scientists in current time. Owing to the multiple dynamic applications of such nanoparticles in various era of engineering and thermal sciences like cooling/heating materials, heat production, energy resources and bio-medical sciences like cancer treatment, destroying of damage cells, brain tumors etc. Further, bio-convective phenomenon of nanoparticles is also referred to many applications in bio-sciences like enzymes, bio-sensors, bio-fuels etc. Keeping such motivating applications in mind, present communication addresses the bioconvection assessment in Oldroyd-B nanofluid conducted over a convectively heated configuration. Further, the partial slip mechanism is followed for to examine the flow pattern. The novel zero mass flux aspects have been taken into account at the solid surface of plate such that the nano-materials fraction is attended itself on higher retardation. After altering the equations in dimensionless form, shooting numerical algorithm is employed for the solution procedure. It is observed that variation in relaxation time constant increase the velocity profile which is more progressive in presence of slip effects. The presence of slip factor improves the heat and mass transportation more effectively. Moreover, the concentration profile decline with retardation time constant and Schmidt number.

Theoretical treatment of radiative Oldroyd-B nanofluid with microorganism pass an exponentially stretching sheet

A transient two-dimensional radiative Oldroyd-B nanofluid flow is examined in this exploration. The flow field is subject to an exponentially stretchable permeable surface which is convectively heated. In the fluid regime microorganisms have been added in-order to improve the stability of the nanofluid. Additionally, the heat and mass transportation are influenced by heat generation and chemical reaction effects. The mathematical model is reduced incorporating self-similar transformations. The resulting non-linear equations system are solved by a numerical technique using Maplesoft. The outcomes presented in graphs and tables against various parameters are discussed in detail. A comparison of our results with previous published investigations shows a good agreement. It is depicted that for higher values of relaxation parameter the fluid velocity minimizes whereas, for retardation parameter its behavior increases. Further, higher values of relaxation parameter correspond to maximum heat and mass transfer rate, while it gives lower values against retardation parameter.

Finite element investigation of Dufour and Soret impacts on MHD rotating flow of Oldroyd-B nanofluid over a stretching sheet with double diffusion Cattaneo Christov heat flux model

A description for magnetohydrodynamic effects on the transient rotational flow of Oldroyd-B nanofluids is considered. The temperature and concentration distributions are associated with Cattaneo-Christove double diffusion, Brownian motion, thermophoresis, Soret, and Dufour. The governing equations in the three-dimensional form are transmuted into dimensionless two-dimensional form with the implementation of suitable scaling transformations. The variational finite element procedure is harnessed and coded in Matlab script to obtain the numerical solution of the coupled non-linear partial differential problem. The varying patterns of velocities, skin friction coefficients, Nusselt number, Sherwood number, fluid temperature, and concentration functions are computed to reveal the physical nature of this study. It is observed that higher inputs of the parameters for magnetic force, Deborah number, rotational fluid, and cause to slow the primary as well as secondary velocities but they raise the temperature like thermophoresis and Brownian motion does. However, thermal relaxation parameter reduces the nanofluid temperature. The local heat transfer rate reduces against Nt, rotational, and Nb parameters, and it is higher for Prandtl number. The current FEM (finite element method) solutions have been approved widely with the recent published results, showing an excellent correlation. The examination has significant applications in the food industry and relevance to energy systems, biomedical, and modern technologies of aerospace systems.

Heat and mass transmission of an Oldroyd-B nanofluid flow through a stratified medium with swimming of motile gyrotactic microorganisms and nanoparticles

This paper focuses on the research of motile microorganism rates in the bioconvective Oldroyd-B nanoliquid flow over a vertical stretching sheet with mixed convection and inclined magnetic field. Additionally, interesting characteristics of thermophoresis, Brownian motion, viscous dissipation, Joule heating, and stratification are examined. Similarity transformations are employed to reduce the mathematical model to higher-order ODE. The convergent serious solution is applied to solve the nonlinear differential system. The analysis of temperature, velocity, motile microorganisms’ density, and nanoparticle concentration are represented through graphs. Local Nusselt number, density number of motile microorganisms, and Sherwood number are examined via contour plots.

Influence of thermal-solutal stratifications and thermal aspects of non-linear radiation in stagnation point Oldroyd-B nanofluid flow

Here the performance of double stratification in nonlinear radiative flow of Oldroyd-B nanofluid in stagnation region have been studied. Additionally, the heat sink/source and magnetic influence are enumerated. The Brownian diffusion and thermophoretic impact are also reported. The homotopic algorithm has been worked out for the solution of non-linear ODEs. The Influences of diverse influential parameters on velocity, temperature and concentration are reported graphically. The radiation and thermophoretic parameters are intensifying functions of temperature field. The thermal and mass stratification parameters falloff the temperature and concentration fields, respectively. Additionally, the assessment of numerical upshots with former prose is presented.

Rotational flow of Oldroyd-B nanofluid subject to Cattaneo-Christov double diffusion theory

A nanofluid is composed of a base fluid component and nanoparticles, in which the nanoparticles are dispersed in the base fluid. The addition of nanoparticles into a base fluid can remarkably improve the thermal conductivity of the nanofluid, and such an increment of thermal conductivity can play an important role in improving the heat transfer rate of the base fluid. Further, the dynamics of non-Newtonian fluids along with nanoparticles is quite interesting with numerous industrial applications. The present predominately predictive modeling studies the flow of the viscoelastic Oldroyd-B fluid over a rotating disk in the presence of nanoparticles. A progressive amendment in the heat and concentration equations is made by exploiting the Cattaneo-Christov heat and mass flux expressions. The characteristic of the Lorentz force due to the magnetic field applied normal to the disk is studied. The Buongiorno model together with the Cattaneo-Christov theory is implemented in the Oldroyd-B nanofluid flow to investigate the heat and mass transport mechanism. This theory predicts the characteristics of the fluid thermal and solutal relaxation time on the boundary layer flow. The von Karman similarity functions are utilized to convert the partial differential equations (PDEs) into ordinary differential equations (ODEs). A homotopic approach for obtaining the analytical solutions to the governing nonlinear problem is carried out. The graphical results are obtained for the velocity field, temperature, and concentration distributions. Comparisons are made for a limiting case between the numerical and analytical solutions, and the results are found in good agreement. The results reveal that the thermal and solutal relaxation time parameters diminish the temperature and concentration distributions, respectively. The axial flow decreases in the downward direction for higher values of the retardation time parameter. The impact of the thermophoresis parameter boosts the temperature distribution.

Numerical investigation on bioconvection flow of Oldroyd-B nanofluid with nonlinear thermal radiation and motile microorganisms over rotating disk

In this paper, the mechanism of radiative Oldroyd-B nanofluid flow over a rotating disk with activation energy and motile microorganisms is examined. The perspective of fluid flow due to disk rotation encompasses both theoretical and practical relevance of it in engineering and applied sciences. Nonlinear ordinary differential equations are firstly converted from the corresponding partial differential equations and are formerly renovated using appropriate transformation to achieve set of nondimensional equations that were subsequently solved by shooting technique. The solution for regulating flow equations is carried out with the execution of the prominent numerical method bvp4c built-in function of MATLAB software. The observed response is supported by a comparison with existing resources, and a comprehensive graphical representation has been taken into account for parameters such as Deborah number, buoyancy ratio parameter, thermophoresis, Brownian motion, Biot number, and for motile microorganisms. Graphs and tables demonstrate the pertinent flow characteristics of the governing problem.

Flow of magnetized Oldroyd-B nanofluid over a rotating disk

Nanofluids have been getting considerable attention in recent years owing to their great importance in an enhanced thermophysical heat transfer as well as the potential usage in various applications like drug delivery and oil recovery. In this study, the characteristics of an Oldroyd-B nanofluid flow caused by axially symmetric rotating disk are analyzed with the features of vertically applied magnetic field. The speciality of current viscoelastic type fluid model involves relaxation and retardation times characteristics. An innovative Buongiorno model is introduced to characterize the heat and mass transport of Oldroyd-B nanofluid considering the impacts of thermophoresis and Brownian diffusion. Consideration is focused on mathematical formulation of momentum equations based on boundary layer approximation theory. The conversion of governing continuity, momentum, energy and concentration expressions into dimensionless forms is based on von Karman similarity variables. The numerical integration of resultant problem is performed through BVP Midrich scheme in Maple. The attained outcomes are exhibited through flow fields, temperature and concentration of nanoparticles distributions as well as local Nusselt and Sherwood numbers. Results reveal that the occurrence of magnetic field in the flow region leads to loss of fluid movement. Also, the thermal and solutal distributions enhance substantially with rising values of retardation time parameter. Moreover, the temperature of liquid boosts up for up growing values of thermophoresis and Brownian motion parameters, respectively.

Flow and heat transfer of Oldroyd-B nanofluid with relaxation-retardation viscous dissipation and hyperbolic boundary conditions

In the present research article, modeling and computations are presented to introduce the novel concept of relaxation-retardation viscous dissipation and hyperbolic time variation boundary conditions on the magnetohydrodynamic transient flow of Oldroyd-B nanofluid past a vertical stretched plate for the first time. In the present work, firstly we implement Buongiorno’s model to illustrate Brownian motion and thermophoretic diffusion which take vital role in heat and mass transportation process. Nonlinear non-dimensional governing equations are solved by fourth order Runge-Kutta method along with shooting technique. We investigate the behavior of influential variables on the velocity, thermal and solutal fields through graphical illustrations. Our results indicate that relaxation and retardation Deborah numbers exhibit completely reverse trend in the flow field. Especially, augmented relaxation-retardation viscous dissipation invigorates the temperature gradient. The results of the current theoretical study may be instrumental for worthful practical applications.

Time-dependent three-dimensional Oldroyd-B nanofluid flow due to bidirectional movement of surface with zero mass flux

Unsteady three-dimensional flow of an incompressible Oldroyd-B nanomaterial is reported in this article. The origin of flow is time-dependent surface spreading in lateral directions transversely taking nanoparticles with zero mass flux. The formulated partial differential system is reframed by similarity variables into ordinary differential system. The obtained system is solved by the process of homotopy analysis for dimensional temperature and concentration of nanoparticles. Physical parameter behavior on temperature and concentrations of nanoparticles is examined using graph and tabular data. The surface temperature is also measured and evaluated, and it is found that the temperature is reduced for greater unsteadiness parameter values. We found that the higher [Formula: see text] enhances the curves of nanoparticle concentration and temperature while these curves retard for the incrementing values of [Formula: see text] The increasing nature of Brownian movement [Formula: see text] and Lewis number Le corresponds to lower profiles of nanoparticles concentration.

Heat Transfer Enhancement in Unsteady MHD Natural Convective Flow of CNTs Oldroyd-B Nanofluid under Ramped Wall Velocity and Ramped Wall Temperature

This article analyzes heat transfer enhancement in incompressible time dependent magnetohydrodynamic (MHD) convective flow of Oldroyd-B nanofluid with carbon nanotubes (CNTs). Single wall carbon nanotubes (SWCNTs) and multi-wall carbon nanotubes (MWCNTs) are immersed in a base fluid named Sodium alginate. The flow is restricted to an infinite vertical plate saturated in a porous material incorporating the generalized Darcy’s law and heat suction/injection. The governing equations for momentum, shear stress and energy are modelled in the form of partial differential equations along with ramped wall temperature and ramped wall velocity boundary conditions. Laplace transformation is applied to convert principal partial differential equations to ordinary differential equations first and, later, complex multivalued functions of Laplace parameter are handled with numerical inversion to obtain the solutions in real time domain. Expression for Nusselt number is also obtained to clearly examine the difference in rate of heat transfer. A comparison for isothermal wall condition and ramped wall condition is also made to analyze the difference in both profiles. A graphical study is conducted to analyze how the fluid profiles are significantly affected by several pertinent parameters. Rate of heat transfer increases with increasing volume fraction of nanoparticle while shear stress reduces with elevation in retardation time. Moreover, flow gets accelerated with increase in Grashof number and Porosity parameter. For every parameter, a comparison between solutions of SWCNTs and MWCNTs is also presented.

Oldroyd-B nanofluid-flow between stretching disks with thermal slip and multiple flow features

This novel investigation deals with the thermal slip in magnetized axi-symmetric flow of Oldroyd-B liquid configured by infinite stretchable disks. With appliance of fundamental laws, the flow model equations are constructed. The governing flow equations are altered into no-dimensional form by using similarity quantities. The solution procedure is followed by using famous homotopy analysis technique. The convergence analysis is performed to evaluate the solution accuracy. The signifi?cance of flow parameters in the pattern of velocity, temperature and concentration are graphically illustrated. The novel numerical simulations for wall shear stress, Nusselt number, and Sherwood number are also performed at both surfaces of disks. It is noted the effects of relaxation time and retardation constants on radial and normal velocity components is opposite. The thermal slip parameters enhance the nanoparticles temperature. The concentration profile is decreases with Brown?ian motion parameter.

Oldroyd-B nanofluid-flow between stretching disks with thermal slip and multiple flow features

This novel investigation deals with the thermal slip in magnetized axi-symmetric flow of Oldroyd-B liquid configured by infinite stretchable disks. With appliance of fundamental laws, the flow model equations are constructed. The governing flow equations are altered into no-dimensional form by using similarity quantities. The solution procedure is followed by using famous homotopy analysis technique. The convergence analysis is performed to evaluate the solution accuracy. The signifi?cance of flow parameters in the pattern of velocity, temperature and concentration are graphically illustrated. The novel numerical simulations for wall shear stress, Nusselt number, and Sherwood number are also performed at both surfaces of disks. It is noted the effects of relaxation time and retardation constants on radial and normal velocity components is opposite. The thermal slip parameters enhance the nanoparticles temperature. The concentration profile is decreases with Brown?ian motion parameter.

Mixed convection flow of Oldroyd-B nano fluid with Cattaneo-Christov heat and mass flux model with third order slip

This study reports the three-dimensional mixed convection flow of an Oldroyd-B nanofluid past a bidirectional stretching surface. Nonlinear partial differential equations obtained from the flow problem were converted into nonlinear ordinary differential equations using similarity transformation, and then, the numerical solutions of these ODEs with corresponding boundary conditions were obtained by employing a bvp4c solver. The effect of governing parameters on nondimensional velocity along x- and y-directions, temperature, particle concentration, local Nusselt number, and Sherwood number was presented through graphs and tables. It can be seen that the increasing values of the Brownian motion parameter Nb and thermophoresis parameter Nt lead to an increase in the temperature field and thermal boundary layer thickness, while the opposite behavior is observed for concentration field and concentration boundary layer thickness. As the Deborah number β1 increases, the concentration profile as well as concentration boundary layer thickness increase. However, the effects of β2 on the concentration profile are opposite to those of β1. An increase in δt, Pr, and α results in a decrease in temperature. It is reported that the local Nusselt number increases when β and Pr increase, whereas it decreases when λ, Nb, Nt, and Sc increase. An increase in Biot number Bi results in an increase in the Nusselt number, and an increase in Nt results in an increase in the Sherwood number. The results of the present analysis were compared with the available works in particular situations, and more agreement has been noted.

Local similar solutions for flow of an oldroyd-b nanofluid with activation energy

Purpose The purpose of this paper is to examine outcome of activation energy in rotating flow of an Oldroyd-B nano liquid. Design/methodology/approach Flow is generated due to stretched surface. Binary chemical reaction is studied. Brownian and thermophoresis effects are considered. The system of nonlinear ordinary differential equations is derived. Convergent series solutions are obtained by homotopy analysis method. The resulting expressions for velocities, temperature and concentration are computed for different embedded parameters. Findings It is found that velocities f′ and g have decreasing effect when rotation parameter is enhanced. Brownian and thermophoresis are increasing functions of temperature and concentration. The physical quantities are sketched and discussed numerically. Concentration and temperature fields show decreasing behavior via Brownian and thermophoresis parameters. Originality/value Authors investigate the Rotating flow of Oldroyd-B nano fluid with chemical reactions. This work is not done yet in literature.

Chemically reactive and nonlinear radiative heat flux in mixed convection flow of Oldroyd-B nanofluid

This paper investigates the aspects of magnetic field and chemical reaction in Oldroyd-B nanofluid influenced by a stretching cylinder. The properties of mixed convection, nonlinear radiation and heat sink/source are incorporated. By means of noteworthy conversions, the nonlinear PDEs are altered into nonlinear ODEs and elucidated via homotopic approach. The influence of countless variables for velocity, temperature and concentration fields in addition to local Nusselt and Sherwood numbers are portrayed and conferred. These upshots portray that the liquid velocity enhances for intensifying value of mixed convection parameter whereas, it diminish for magnetic parameter. Moreover, the Brownian motion parameter and radiation parameter enhances the liquid temperature of Oldroyd-B nanofluid. For the endorsement of current upshots an assessment values in restrictive circumstances is also presented.

Study of bioconvection flow in Oldroyd-B nanofluid with motile organisms and effective Prandtl approach

On account of fabrication of nano bio-materials applications in various industrial and technological manufacturing systems, bioconvection in nanofluid has become famous in recent years. This investigation is made by adopting bioconvected flow of Oldroyd-B nanofluid over stretched sheet which assumed to be oscillatory. The periodically moving sheet generates the flow. The thermal radiations effects are also encountered in the energy equation. Three independent variables governed by the flow equations are diminished into two independent variables. The series solution for transformed ordinary differential equations is calculated by homotopy analysis method. In present investigation, thermal radiation for linearized Rosseland’s assumption is studied in one parametric approach instead of two parametric approaches. Here, the temperature profile does not depend upon Prandtl number and radiation parameter but combination of these two which is termed as effective Prandtl number. Significance of flow parameters on effective local Nusselt number, local Sherwood number and local motile density number is evaluated in tabular form. It is noted that the temperature of nanoparticles effectively enhanced by increasing buoyancy ratio and Rayleigh number. The concentration profile increases with buoyancy ratio and bioconvected Rayleigh number. The higher values of bio-convected Peclet number lead to be decrement of motile microorganism profile. The results presented here can play effective role for enhancement of efficiency of heat transfer devices and microbial fuel cells.