Variable Thicked Surface Research Articles

Endothermic and exothermic chemical reaction on MHD ternary (Fe2O4–TiO2–Ag/H2O) nanofluid flow over a variable thickness surface

Endothermic and exothermic chemical reaction on MHD ternary (Fe2O4–TiO2–Ag/H2O) nanofluid flow over a variable thickness surface

Free vibration analysis of functionally graded shallow shells with variable thickness and physical neutral surface effects

The study and manufacture of functionally graded (FG) shallow shells with the variable thickness are essential for the actual application of these types of structures. Previously, many researchers have developed different approaches to analyzing the mechanical behaviors of the FG structures, in which the thickness parameter has been assumed to be constant. Moreover, studies on these types of structures with the variable thickness are still quite limited. For this reason, this paper provides an effective and simple approach via mathematical formulations for analyzing the free vibrational responses of FG shallow shells with the variable thickness. Also, the presence of porosities that can occur during the fabrication of FG materials is considered. One of the highlights here is to consider the influence of the physical neutral surface. Before conducting the analysis of these FG structures, firstly, it is important to establish governing equations based on the classical shell theory. These essential equations are used for the FG shallow shells. Then, by setting the Navier solution with the help of simply supported boundary conditions, the natural frequencies are obtained. Finally, the numerical examples will be given to illustrate the effects of porosity coefficient, material and geometry parameters as well as the physical neutral surface on the natural frequencies. In addition, two numerical examples for verification will also be performed and thereby show the accuracy of the current method and model. It is hoped that the main results of this study can be useful not only to designers and researchers but also to be extended to more complex problems.

Hall effects and Cattaneo–Christov heat flux on MHD flow of hybrid nanofluid over a varying thickness stretching surface

The study of nanofluids and hybrid nanofluids is gaining conceivable importance due to their characteristics of being so useful in various daily life applications. This study deals with the motion of an electro conductive, incompressible magneto-hydrodynamic (MHD) hybrid nanofluid across a stretched surface of variable thickness. The objective of this study is motivated by a number of manufacturing and machine-building applications. However, no attempt has been made to establish MHD flow of hybrid nanofluid along a stretching sheet (a sheet with variable thickness) while keeping an eye on the impact of Hall current. In real-life situations, variable-thickness sheets are crucial in the creation of flexible containers and, additionally, in the layout and production of aerospace wings and auto body components. This study extends our fundamental knowledge of fluid dynamics and heat transmission in intricate systems. Recognizing how magnetic effects, nanofluid traits and heat conduction interplay can help researchers make valuable developments and breakthroughs in the areas of fluid mechanics and heat transfer. Hall effects are vital for applications including conductive fluids or plasma as they provide a more precise understanding of the movement of charged nanoparticles in the presence of a magnetic field. For hybrid nanofluid, we mixed the nanoparticles of titanium dioxide and copper (TiO2–Cu) into the water. Due to the low noxiousness and chemical strength of titanium dioxide-based nanoparticles, they have great uses in research. We also consider the effects of Cattaneo–Christov heat flux to analyze the heat transfer of nanoparticles and Hall current effects, which make the flow three-dimensional. For both fundamental research and real-world applications, it is of the utmost importance to take into account the Hall effects and Cattaneo–Christov heat flux in the MHD flow analysis of hybrid nanofluid over stretched surface. It makes it possible to describe the phenomenon more precisely and can enhance the effectiveness and efficiency of numerous technical procedures. By using appropriate transformations, the equations that govern the flow are transformed into a system of non-dimensional ordinary differential equations. The non-dimensional system of equations has been solved numerically by using the ND Solve command in Mathematica Software, which is based on a multistep predictor-corrector method. For velocity and temperature profiles, the interplay of numerous developing parameters on flow is depicted graphically. The Hall parameter enhances the axial velocity but reduces the transverse velocity, while the magnetic field has the opposite effects. The temperature increases with the volume fraction of nanoparticles but decreases with the thermal relaxation parameter.

Virtual source total focusing method for crack detection in complex curved structure

Accurate non-destructive testing and evaluation of cracks is important for the quality assurance and life-cycle management of key components in aerospace and energy industries. This paper presents a novel imaging method for cracks detection in complex curved structure , combining virtual source technique, multi-mode total focusing method and phase coherence imaging method. The virtual source on the sample surface is employed as the emitter and receiver for the ultrasonic array imaging. In this way, the calculation complexity of imaging algorithm due to beam path search can be reduced, and the detection sensitivity in the region of interest can be improved. In addition, the phase coherence factor is used to suppress the background noise and imaging artifacts, which significantly improves the quality of ultrasonic array imaging. A complex curved sample with variable thickness and non-developable surface was used to examine the effectiveness of the virtual source total focusing method. The signal-to-noise ratio of the crack defect is increased by more than 25 dB using the novel method compared with that of the conventional total focusing method, and the quantitative evaluation error of defect is less than 2.67%.

Second-grade nanofluid flow above a vertical slandering Riga surface with double diffusion model

The research of non-Newtonian fluids has gained the attention of scientists because of its assorted uses in biological sciences, drug reduction, damping device production and industry. Second-grade nanofluid is one of the non-Newtonian fluids. This study includes the study of second-grade nanofluid flow passing through a stretchable vertical Riga surface of variable thickness. Thermal conductivity and viscosity are taken as variables, as the function of temperature. For heat transfer, this study includes the influences of thermophoresis and Brownian motion. The Cattaneo–Christov double diffusive (CCDD) model is considered and buoyancy forces’ effects are examined. The governing equations are converted to the nonlinear ordinary differential equations (ODEs) to solve these equations easily. The solution is obtained using the MATLAB package with its bvp4c technique. Consequences of different parameters like second-grade fluid parameter modified Hartmann number, thermal time relaxation parameter, concentration time parameter, variable thermal conductivity parameter, buoyancy forces, Brownian motion parameter, Schmidt number and thermophoresis parameter are interpreted through graphs and tables. This research exposes that Buoyancy forces’ parameters have antagonistic behavior on velocity curves. Depreciation in temperature and concentration is also noted with the rise in thermal time relaxation and concentration time relaxation.

Exponential space and thermal-dependent heat source effects on electro-magneto-hydrodynamic Jeffrey fluid flow over a vertical stretching surface

This paper deals with the study of an incompressible electro-magneto-hydrodynamic (EMHD) Jeffrey fluid flow over a vertical nonlinear stretching surface of variable thickness. Heat and mass transfer effects are analyzed by considering different source terms like viscous dissipation, Ohmic heating, thermophoresis, Brownian motion, thermal heat source, exponential heat source and activation energy. Governing equations for the flow system are converted into dimensionless forms using appropriate similarity transformations. The solution for the resulting governing equations is obtained by using the shooting technique with RK-4 method. The effects of various physical parameters such as magnetic field parameter [Formula: see text], Grashof number (Gr), solutal Grashof number [Formula: see text], Brownian diffusion parameter [Formula: see text], thermophoresis diffusion parameter [Formula: see text], thermal heat source parameter [Formula: see text], exponential heat source parameter [Formula: see text], Prandtl number (Pr) and Lewis number (Le) are presented with the help of graphs. It is observed that the heat transfer effects increase by increasing thermal and exponential heat sources, and mass transfer effects enhance by increasing the activation energy. Entropy generation for this flow system is also analyzed. Entropy decreases with an increase in the electric field parameter. In contrast, the Bejan number initially increases with an increase in the electric field parameter. After some particular value of electric field parameter, it changes its behavior in the boundary layer and decreases with an increase in the electric field parameter. Entropy and Bejan number increase with an increment in the concentration difference parameter. The accuracy of the results is validated by those of published literature and found in reasonable justification. The present results may be helpful in many engineering and industrial applications like manufacturing lubrication, natural gas networks, cooling nuclear reactors and spray processes.

Intelligent computing for entropy generation in Jeffrey nanofluid through radiated flow

This study explores the Entropy generation in the Flow of Jeffery Nanomaterial Model (EFJNM) past a variable thicked surface by considering joule heating effect, convectively heated surface, nonlinear radiative heat flux, and convective boundary conditions via Artificial Back Propagated Levenberg Marquardt Neural Networks (ABP-LMNNs). The ODEs system is obtained by implementing suitable transformation on PDEs for EFJNM. Applying homotopy analysis method (HAM) to create dataset for ABP-LMNNs by the variation of physical parameters of EFJNM. The reference datasets are then segmented in validation/training/testing process to scrutinize the approximated solution for EFJNM and further to compare it with standard solution. The better performance is further investigated by MSE based curves, regression fitting, absolute error, error histogram analysis. Results reveals that performance in form of MSE is in ranges of 10−9, 10−11, 10−9, 10−9, 10−10, 10−9, 10−10, 10−9, and 10−10 with 494, 285, 496, 219, 71, 167, 194, 121, 179, and 738, respectively, for all scenarios. The impact of variants of EFJNM on velocity, entropy production rate, temperature, and concentration are also analyzed. As the entropy generation increase with the increment in Deborah number and Brinkman number. The velocity increases with the escalation in Deborah number and wall thickness variable whereas decreases with the increase in relaxation to retardation ratio. The absolute errors of effective parameters for velocity are 10−7-10−4, 10−7-10−3, 10−7-10−4, and 10−6-10−3, the absolute errors for temperature are 10−7-10−3, 10−7-10−3, and 10−7-10−4 whereas the absolute errors for concentration are 10−8-10−4, 10−8-10−3, and 10−8-10−4, which show the accuracy of proposed ABP-LMNNs. Abbreviations: ABP-LMNNs, Artificial back propagated Levenberg Marquardt Neural Networks; EFJNM, Entropy generation in the Flow of Jeffery Nanomaterial Model; HAM, Homotopy analysis method

On numerical analysis of hydromagnetic radiative Jeffery nanofluid flow by variable thickness surface with activation energy and unsteadiness aspects

The mass and thermal flow of an unsteady Jeffery fluid over a surface having variable thickness with the presence of magneto-hydrodynamics is considered here. For this physical problem, we develop a mathematical formulation using Buongiorno’s model for the Jeffery fluid. Characteristics of pedesis motion and thermo-migration of nanoparticles with the thermal link of heat source/sink are also examined. An arrangement of similarity variables is introduced to transform the transport equations into solvable forms in Cartesian configuration. A numerical solution of the differential system is obtained by using the algorithm of Runge–Kutta-Fehlberg fourth-fifth (RKF-45) method. Physical interpretations of obtained outcomes are established with the help of various plots, isotherms, and streamlines. Flow velocity reduces wall-thickness and unsteadiness parameters. Temperature enhances with the advances of radiation parameters, whereas regresses for the progression of Deborah number. Concentration improves with the progression of the activation energy parameter. Nusselt number condenses for velocity index and Eckert number. A comparison benchmark is also presented for solution validation.

Impact of nanoparticles and radiation phenomenon on viscoelastic fluid

In recent years, nanotechnologies have been widely used in several fields regarding their rapid developments which create a lot of prospects for researchers and engineers. More specifically, replacement of conventional liquids with nanoliquids is considered as an innovative solution to heat transfer problems. This research work reports mixed convective phenomenon of viscoelastic fluids with variable stretched surface. This study prospects the applications in biotechnology and irrigation systems. Characteristics of thermophoresis, nonlinear thermal radiation and Brownian moment are examined. Significant influence of no mass flux relation and variable thicked surface on second grade is studied in this work. Moreover, heat-mass transportation phenomenon is explored through thermophoresis, nonlinear thermal radiation and Brownian diffusion. Transformation procedure is adopted in order to achieve required ODEs. HAM procedure is adopted to obtain the series solution. Outcomes of physical parameters for velocity, temperature and concentration fields are discussed. Here velocity profile of second-grade fluid is detected to be a declining function K (local second-grade parameter). Higher [Formula: see text] (Brownian moment parameter) intensifies the temperature profile while concentration of viscoelastic liquid dwindles against [Formula: see text].

Thermal radiation and diffusion effects in MHD Williamson and Casson fluid flows past a slendering stretching surface

AbstractThe article is presented to analyze the magnetohydrodynamic Casson and Williamson fluids flow over a stretched surface of variable thickness by including the conditions of thermal radiation, velocity slip, temperature, and concentration slip. The equations governing the flow characteristics are transformed to ordinary differential equations by applying similarity transformations. The solution of the simplified equations is obtained by the numerical bvp5c Matlab package. The behavior for Williamson and Casson fluid cases is explored and discussed with the impact of sundry parameters on the flowing fluid, thermal, and diffusion fields. The profiles under the impact of parameters are depicted through graphs. Also, we evaluated the performance of local Nusselt and Sherwood numbers along with the friction of the wall and are displayed through tables. We found that the temperature and mass transfer distribution is low in Williamson fluid when compared to Casson fluid flow. The computed results indicate that the flow, thermal and concentration boundary layer characteristics of Williamson and Casson fluids are not unique.

Analysis of heat transfer on MHD Jeffrey nanofluid flow over nonlinear elongating surface of variable thickness

AbstractDue to its vast application in the engineering discipline, nanofluids have become a popular subject of investigation in the mathematical and physical research. The enhancement of thermal conductivity is a peculiar feature of nanofluids. The fluid model being investigated in the current study is the Jeffrey nanofluid commonly found in many industrial processes such as lubrication, natural gas networks, spray processes, cooling of nuclear reactors and many others. We study the heat transfer affects on the flow of a Jeffery non‐Newtonian fluid with submersed nanoparticles, in the presence of applied magnetic field, along a nonlinear stretchable surface, discussing features such as Brownian and thermophoresis diffusion. The effects of viscous dissipation, ohmic heating and thermal radiation on the flow characteristic have also been analyzed. Solution for the nondimensional boundary value problem have been obtained numerically by considering the effects of non‐Newtonian fluid parameter. The graphical illustration of the obtained results highlights the effects of numerous physical parameters on the flow dynamics in terms of fluid velocities, thermal profiles and nanoparticles concentration.

Impacts of activation energy and binary chemical reaction on MHD flow of Williamson nanofluid in Darcy–Forchheimer porous medium: a case of expanding sheet of variable thickness

An expanding sheet problem is more relevant when the thickness of the sheet is variable and it bears frequent applications in polymer press, paper production, metallic plate cooling, etc. On the other hand, activation energy is an important phenomenon of chemical reaction in flow dynamics of Newtonian and non-Newtonian fluids. The activation energy and chemical reaction have vital applications in food preparing, the mechanism of water and oil emulsions, chemical engineering, and more. So in this project, the impacts of activation energy and binary chemical reaction on MHD two-dimensional boundary layer flow of Williamson nanofluid on an expanding surface of variable thickness embedded in Darcy–Forchheimer porous medium are investigated. Using suitable transformations, the governing equations are transformed into a set of non-linear ordinary differential equations (ODEs). Later, numerical solutions have been achieved by well-known MATLAB inbuilt function ‘bvp4c’. Several vital results are explored for variations of involved physical parameters and those are presented in graphical and tabular modes. The achieved results suggest that when wall thickness parameter increases, there is a contrast in behaviors of velocity, temperature and nanoparticle concentration if there is a condition that the shape parameter is greater than or less than unity. For the former case, the above flow properties reduce with wall thickness parameter, whereas, for the latter case, those are showing significant growth. The Brownian motion of nanoparticles causes an increase in temperature and a reduction in nanoparticle concentration, whereas due to thermophoretic force, both temperature and nanoparticle concentration rise. Due to the presence of activation energy in chemical reaction, the nanoparticle concentration enhances, while, temperature decreases(increases) near(away from) the sheet. With increasing reaction rate parameters, nanoparticle concentration diminishes, but temperature increases near the sheet. The surface drag force decreases with Williamson fluid parameter, while it increases with the magnetic parameter, inverse Darcy number, and Forchheimer parameter. On the other hand, the surface heat flux and surface mass flux are decreasing functions of Williamson fluid parameter, magnetic parameter, inverse Darcy number, and Forchheimer parameter. It also reveals that surface heat flux reduces with increasing reaction rate parameters, whereas surface mass flux increases. Finally, for the growth of activation energy parameter, initially surface heat flux rises and surface mass flux declines, but for its larger values, the quantities turn out to be constants. Also, the surface heat and mass fluxes are decreasing functions of thermophoresis parameter.

Intelligent computing for the dynamics of entropy optimized nanofluidic system under impacts of MHD along thick surface

This article examines entropy production (EP) of magneto-hydrodynamics viscous fluid flow model (MHD-VFFM) subject to a variable thickness surface with heat sink/source effect by utilizing the intelligent computing paradigm via artificial Levenberg–Marquardt back propagated neural networks (ALM-BPNNs). The governing partial differential equations (PDEs) of MHD-VFFM are transformed into ODEs by applying suitable similarity transformations. The reference dataset is obtained from Adam numerical solver by the variation of Hartmann number (Ha), thickness parameter [Formula: see text], power index ([Formula: see text], thermophoresis parameter (Nt), Brinkman number (Br), Lewis number (Le) and Brownian diffusion parameter (Nb) for all scenarios of proposed ALM-BPNN. The reference data samples arbitrary selected for training/testing/validation are used to find and analyze the approximated solutions of proposed ALM-BPNNs as well as comparison with reference results. The excellent performance of ALM-BPNN is consistently endorsed by Mean Squared Error (MSE) convergence curves, regression index and error histogram analysis. Intelligent computing based investigation suggests that the rise in values of Ha declines the velocity of the fluid motion but converse trend is seen for growing values of [Formula: see text]. The rising values of Ha, Nt and Br improve the heat transfer but converse trend is seen for growing values of [Formula: see text]. The inclining values of Nt incline the mass transfer but it shows reverse behavior for escalating values of Le. The inclining values of Br incline the EP.

Impact of Soret and Dufour on MHD mixed convective flow of non‐Newtonian fluid over a coagulated surface

AbstractIn the present study, we investigated the steady, two‐dimensional mixed convective stagnation point flow of an electrically conducting micropolar fluid due to stretching of a variable thicked surface in the attendance of viscous dissipation. The flow is incompressible and laminar. The combined heat and mass transfer features are investigated. Convective and diffusion conditions are considered. The nonlinear thermal radiation, thermo‐diffusion, and diffusion thermal effects are considered. The governing partial differential equations are converted to ordinary differential equations by using the appropriate similarity transformations. The obtained nonlinear and coupled ordinary differential equations are elucidated numerically using the fourth‐order Runge–Kutta based shooting technique. The influence of various nondimensional parameters on the flow field like velocity, microrotation, temperature, and concentration is examined with the assistance of graphs. Results indicate that the Dufour number has a proclivity to increase the distributions of concentration and temperature correspondingly. Also, fluid temperature and concentration enhance for increasing values of the wall thickness parameter.

Modeling and Analysis of Magnetized Nanomaterial Williamson Towards a Variable Thicked Surface Subject to Joule Heating and Activation Energy

The prime intention of present article is to study the behavior of magnetized Williamson nanofluid. Flow governing model is obtained considering flow over variable thickness surface with convective heat and mass boundary constraints. The effects of Joule heating, Brownian diffusion and thermophoresis are further considered. Moreover, chemical reaction associated with activation energy is accounted. Boundary layer assumptions are used to obtain the dimensional system of differential equations. The system of PDE

Mixed convection and melting rheology in dual stratified Eyring-Powell nanofluid flow over surface of variable thickness: Buongiorno model approach

Eyring Powell fluid flow over linear as well as nonlinear stretching surfaces has been discussed in literature by several researchers. However, lesser attention has been paid for such studies with surfaces comprising variable thickness. Present communication inculcates the novel features regarding melting heat transport in Eyring Powell nanofluid over a surface of variable thickness while keeping in view the aspects of radiative heat transfer. Influence of thermophoresis and Brownian motion phenomena is discussed by making use of Buongiorno model approach. Here, the flow characteristics are analyzed in mixed convective and dual stratified porous medium. Appropriate transformations are imposed in order to convert partial differential equations to ordinary differential equations possessing highly nonlinear form. Homotopy analysis method is utilized to achieve desired convergent series solutions. Impact of several emerging variables on velocity temperature and concentration distributions is analyzed graphically. Expressions for drag force and rate of heat transfer are evaluated and demonstrated graphically. Nano particle concentration increases for higher Brownian motion parameter. Enriched thermal field is attained due to rise in thermophoretic parameter. However, recessive behavior of velocity profile results due to higher fluid parameters. Thermal field rises as a result of larger values of mixed convection parameter while it decays gradually for enhanced melting parameter.

Numerical study for melting heat in dissipative flow of hybrid nanofluid over a variable thicked surface

This investigation is carried out to examine stagnation point flow of hybrid nanofluid (SWCNTs + Ag + Gasoline oil) over a stretched sheet of variable thickness. The hybrid nanomaterials are acknowledged more suitable than ordinary nanoliquids. It is no doubt due to combined features of two or more nanoparticles in the hybrid nanomaterial. The idea is useful for enhancement of the properties of resultant nanomaterials better than the nanoliquids consisting of one nanoparticle. Viscous dissipation and melting effect are taken into consideration for heat transport characteristics. Adequate transformations are employed for reduction of PDEs (expressions) into ODEs. These ODEs are then converted into system of first order in order to solve by bvp4c (shooting method). Velocity, skin friction coefficient, Nusselt number and temperature are examined graphically for influential parameters. Comparison of hybrid nanofluid (SWCNTs + Ag + Gasoline oil) with nanofluid (SWCNTs + Gasoline oil) and basefluid (Gasoline oil) is also presented graphically. Velocity of fluid enhances via rise in nanoparticle volume fraction for single-walled CNTs, nanoparticle volume fraction for Ag, velocity ratio, wall thickness and melting parameters. Reduction in temperature of fluid occurs with higher Eckert number, nanoparticle volume fraction for CNTs, nanoparticle volume fraction for Ag and melting parameter. Higher velocity ratio parameter controls the skin friction coefficient. Nusselt number rises with an increment in nanoparticle volume fraction for CNTs, velocity ratio parameter and nanoparticle volume fraction for Ag. Moreover during comparative study better performance is noticed for hybrid nanofluid (SWCNTs + Ag + Gasoline oil) over nanofluid (SWCNTs + Gasoline oil) and basefluid (Gasoline oil).

Fully developed second order velocity slip Darcy-Forchheimer flow by a variable thicked surface of disk with entropy generation

This research communication deals with nonlinear mixed convection and entropy generation analysis of second order velocity slip flow of viscous fluid by a variable thicked stretchable surface of disk. The stretchable disk were subjected to convective boundary conditions at the surface for heat and mass transport. A Darcy-Forchheimer relation is considered and Buongiorno nanofluid model is used in the mathematical modeling. Total entropy rate subject to four types of irreversibilities i.e., heat transfer, fluid friction, chemical reaction or concentration and joule heating is calculated via second law of thermodynamics. Binary chemical reaction with Arrhenius activation energy is also considered. The governing expressions relevant to both fully developed laminar flows (hydro-dynamically and thermally) were solved analytically through homotopy analysis method. The computational solutions for the velocity field, temperature distribution, concentration distribution, entropy generation rate, skin friction coefficient, Bejan number, Nusselt number in terms of different parameters like stretching parameter, second order velocity slip, mixed convection parameter, magnetic parameter, thermal biot number, Eckert number, activation energy parameter and solutal biot number were obtained. The obtained outcomes indicate that an increase in second order velocity slip and mixed convection parameters leads to a decrease in velocity components i.e., axial and radial. Temperature distribution is strongly affected by the rising values of Eckert number and thermal biot number and show increasing behavior. The engineering curiosity like skin friction coefficient and Nusselt and Sherwood numbers are calculated numerically and examined through tabular form. The results of present communication are helpful in deep understanding of flow and heat and mass transports by a variable thicked surface of stretchable disk and more thermally well-organized microfluidic devices which use viscous fluids

Influence of Homogeneous and Heterogeneous Chemical Reactions and Variable Thermal Conductivity on the MHD Maxwell Fluid Flow due to a Surface of Variable Thickness

In this report, the effects of homogeneous-heterogeneous autocatalytic chemical reaction together with the variable thermal conductivity in the Maxwell fluid flow due to nonlinear surface of variable thickness are investigated. Thermal radiation and heat generation / absorption effects are also incorporated in the analysis. Appropriate scaling analysis is implemented to reduce the mathematical model describing the physics of the problem in to a set of nonlinear differential equations and are subsequently solved computationally. Graphical illustrations indicating the effect of pertinent parameters on momentum, thermal and solutal boundary layers are presented and discussed. The study reveals that velocity distribution shows a decreasing (increasing) tendency for larger values of wall thickness parameter when the velocity power law index is less (greater) than unity. The concentration of the homogeneous bulk fluid with catalyst at the surface decreases with increasing chemical reaction rate parameters.

MHD mixed convection flow of a nanofluid past a stretching surface of variable thickness and vanishing nanoparticle flux

This article aims to present the flow and heat transfer characteristics of a nanofluid past an elastic sheet having variable thickness in the presence of a magnetic field. Vanishing nanoparticle flux at the boundary has been taken into account for the passive control of nanoparticles. Two-phase model for the nanofluid has been considered. With the help of similarity transformations, the governing nonlinear partial differential equations are converted into nonlinear ordinary differential equations along with the appropriate boundary conditions. The reduced equations are then solved numerically. The effects of buoyancy parameter, magnetic parameter, Brownian motion, thermophoresis parameter etc. on velocity, temperature and nanoparticle volume fraction are presented graphically and analysed in detail. Velocity, temperature and nanoparticle volume fraction are decreasing functions of wall thickness parameter for decelerated flow. Due to increasing values of thermophoresis parameter, the rate of heat transfer at the surface reduces while with the increase in the Brownian motion parameter the mass transfer rate at the surface increases.