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This paper reports the flow features and distributions of concentration and temperature of a micropolar type nanofluid (water-based) past a stretchable and shrinkable wedge, influenced by variable magnetic force, nonlinear sort thermal radiation and chemical reaction. Along with the consideration of multiple convection, the model of Buongiorno is stated. The Brownian motion and thermophoresis have been kept in the analysis. Suitable similarity alteration is approached to renovate the foremost equations to dimensionless ordinary differential equations (ODEs). Associated conditions became nondimensional forms according to this conversion. Then the numerical solutions of the reduced governing equations with boundary conditions are obtained by adopting the RK-4 technique with shooting criteria. The language MAPLE 17 assisted in developing this solution. Significant upshots of prime parameters on the fluid transmission, mass and heat transport properties are represented with suitable tables and graphs. In tabular form, we have reckoned the physical quantities of heat, mass transfer rates and drag friction coefficients to fulfill the engineering interest. This study acquaints that the material parameter negatively influenced nanofluid's angular velocity. The fluid's temperature improves with thermal and mass Biot numbers, but this response goes opposite for the parameter of wedge angle. Chemical reaction and wedge angle parameters amplify mass transport. This study can be beneficial in the blowing of chilled air by AC panels, the abstraction of crude oils, the nuclear power hub, the working of warships, making flaps on the wings of aeroplanes for advanced lift, submarines, the extraction of polymers and several other sectors in advanced science and industrial developments. [ABSTRACT FROM AUTHOR]

Ternary hybrid nanofluid flow over a wedge surface facilitates optimization, promotes industrial processes such as heat transfer, temperature regulation, material compatibility, energy efficiency and is very useful in equipment design. Due to this attention the current study focalizes the heat diffusion and mass transportation in ternary hybrid (TiO2-AL2O3-SiO2) nanofluid flow over a stretching/shrinking wedge geometry. Additionally, Ternary hybrid flow is examined under the impact of activation energy together with chemical reactions. The nanofluid flow process is structured using Modified Boungiorno Model together with framed set of partial differential equation (PDEs). The resulting systems is altered into non dimensional form of ordinary differential equation (ODEs) using transform functions and linearization is obtained through shooting technique. MATLAB bvp4c solver scheme is utilized for numerical findings of the problem. Influence of key parameters are analyzed on velocity, temperature, and concentration field. Fluid concentration intensifies via augmentation in activation rate whereas wedge stretching due to larger values of wedge angle, lessens velocity of fluid. Heat transportation escalate with higher values of fluid index, whereas negative trend is seen in case of higher value of Brownian parameter.Highlights: Chemically influenced ternary hybrid nanofluid flow over a wedge geometry. Modified Boungiorno Model along with framed set of partial differential equation (PDEs). Numerical simulation of thermal transport mechanism by using MATLAB bvp4c. [ABSTRACT FROM AUTHOR]

The present work studies the effects of the physical parameter characterizing the laminar flow regime, namely the Strouhal number, on the evolution of the unsteady dynamic boundary-layer developed along a wedge surface. Similarity method is used to transform unsteady momentum equation to dimensionless form. Using superposition method between diffusion and convective flows solutions, an ad hoc velocity profile formula is proposed. The obtained results confirm perfectly the numerical data given by Blasius, Falkner-Skan and Williams-Rhyne for all Strouhal numbers. A new accurate analytical function of the local skin friction is established for all time values and for different wedge surface directions. In order to give further clarification on the flows evolutions from diffusion flow to convective flow, in the whole space domain, new skin friction coefficient curves are plotted for all Strouhal numbers and for different wedge surface directions.

The study on heat and mass transportation play a noteworthy role in the liquid atmosphere wherever nearby is considerable temperature and deposition of diffusion transport in a stirring wedge. Heat and mass transport on fluids discoveries prominence in development of manufacturing and industrial processes such as petroleum reservoirs, nuclear waste disposal, heat exchanger devices, etc. By taking this into, the present study exhibited here to consider the impact of variable fluid properties on nanofluid flow over a wedge. The analysis of the flow has been analyzed consisting with the influences of heat generation/absorption and chemical reaction. It is accepted to have fluid viscosity and thermal conductivity as an opposite capability and conventional capacity of temperature, separately. The succeeding nonlinear ordinary differential circumstances are measured numerically utilizing the fourth order of the Runge-Kutta technique jointly with the shooting method. The consequence of the suitable parameters concerning the flow has been explained through graphs and tables, together with the necessary contentions/conversation. The accompanying investigation exhibits that the fluid temperature is higher within the view of a variable viscosity and heat generation parameters. It is additionally seen that the wall stress diminishes with expanding velocity slip.

The present work studies the effects of the physical parameter characterizing the laminar flow regime, namely the Strouhal number, on the evolution of the unsteady dynamic boundary-layer developed along a wedge surface. Similarity method is used to transform unsteady momentum equation to dimensionless form. Using superposition method between diffusion and convective flows solutions, an ad hoc velocity profile formula is proposed. The obtained results confirm perfectly the numerical data given by Blasius, Falkner-Skan and Williams-Rhyne for all Strouhal numbers. A new accurate analytical function of the local skin friction is established for all time values and for different wedge surface directions. In order to give further clarification on the flows evolutions from diffusion flow to convective flow, in the whole space domain, new skin friction coefficient curves are plotted for all Strouhal numbers and for different wedge surface directions. [ABSTRACT FROM AUTHOR]

In this research, a theoretical investigation into the heat transport characteristics of an Eyring–Powell nanomaterial boundary layer flow on a wedge surface with passively controlled nanoparticles is carried out. In this model, thermal convective boundary conditions, thermal radiation, heat production, and absorption are also studied. The non-Newtonian Eyring–Powell fluid’s features are predicted using the model under consideration. The Buongiorno model is used to study how a temperature gradient affects thermophoresis and how nanoparticles affect the Brownian motion. The prevailing nonlinear boundary layer equations are derived and then renewed in an ordinary differential boundary value problem (ODBVP) by substituting apt similarity transformations. The acquired nonlinear ODBVP is then resolved using the bvp4c method to explore the fields of nanofluid velocity, nanofluid temperature, and nanoparticle concentration. A mathematical examination of the surface drag force coefficients and Nusselt number is carried out using various physical parameters. The Eyring–Powell fluid parameter (K1) reduces the thickness of the momentum boundary layer thickness. The thermophoresis aspect (Nt) enhances the thermal field and solutal field. The Nusselt number (NuRex−0.5) reduces the need for a stronger internal heat source mechanism.

In this writing, we have uncovered the upshot of melting heat transformation on 2D boundary layer flow of single-walled carbon nanotube-engine oil and multi-walled carbon nanotube-engine oil through a wedge surface. The entire investigation has been prosecuted in the attendance of thermal radiation. We remodel the nonlinear PDEs into ODEs by inaugurating similarity transformation and then they are executed by Natural Decomposition Method. The impact of affined parameters on temperature and velocity distribution has been elucidated utilizing tables and graphs. Our study imparts that the fluid velocity enhances but temperature decreases for the growing values of melting parameter as well as pressure gradient parameter. Also, our study conveys that the rate of heat transfer is improved for the said parameters.

With the fast improvement of the industry and the utilization of inventive strategies, scientists want to think over the steady blending convection of water-based nanofluids past static wedges. The Buongiorno model with convection is applied. Also, incorporated the Brownian motion and thermophoresis. The attention is on the nature of mixed wedge-formed convective heat and mass transfer of the nanofluid flow. Utilizing comparable change, the governing partial differential equations (PDEs) are reduced to ordinary differential equations (ODEs) solved by the R-K Gill method. The physical quantities of velocity, temperature and concentration fields, as well as diffusion and thermal transfer rates with friction factor coefficients, is discussed. The investigation demonstrated that the temperature convergence of the liquid was higher within the sight of the thermophoresis parameter and Biot numbers. It has been seen that divider pressure increments with expanding wedge and mixed convection parameters. [ABSTRACT FROM AUTHOR]

Numerical investigation of the three-dimensional flow and heat transfer of 36 nm Al 2 O 3 –H 2 O nanoliquid over a wedge surface is carried out by utilizing the modified Buongiorno model (MBM). The boundary layer approximation is assumed to be valid. The thermophysical properties of Al 2 O 3 –H 2 O nanoliquid are deliberated in the study by modeling them through the use of correlations based on experimental data. The thermal boundary layer equation comprises the Brownian motion and thermo-migration effects caused by nanoparticles. Zero mass flux boundary condition is also accounted. Optimization of the heat transfer rate of nanoliquid is made using the Response surface methodology (RSM). Two stream functions are used to derive the similarity transformations and they are employed to arrive nonlinear ordinary differential system from the governing partial differential system, and then the subsequent nonlinear problem is treated numerically using the Finite Element Method (FEM). The heat flow features are scrutinized using two-dimensional, surface, and streamline plots. The results of flow due to a moving wedge in the same direction of free stream velocity are compared with those of a moving wedge in the opposite direction of free stream velocity. The thermal layer and nanoparticles volume fraction layers are enlarged due to the chaotic movement of nanoparticles. The thermophoresis mechanism improves the thermal layer at the wedge surface. The high level of pressure gradient factor, high level of shear-to-strain rate and low level of Lewis number, were found to be the optimal operating condition that would maximize the heat transfer rate. [ABSTRACT FROM AUTHOR]

This paper is devoted to mathematical analysis of three-dimensional boundary-layer flow and heat transfer over a wedge. The boundary layer is formed due to the flow of a viscous and incompressible fluid and grows downstream along the walls of the wedge. This is appropriately approximated by a power of distances along both lateral directions. This analysis introduces a shear-to-strain-rate parameter γ in the study which plays an essential role in three-dimensional boundary-layer study. A set of boundary-layer equations along with the conservation of energy has been transformed into a coupled nonlinear ordinary differential equations. Two methods are employed. The fluid–wedge interaction problem is solved in the circumstances where the equations are linearized and obtained the solutions in terms of confluent hypergeometric functions, and otherwise, the full-nonlinear problem numerically using the Keller-box method. In the former case, the results of eigenfunction analysis that is based on asymptotic study of the problem qualitatively support the latter numerical results. In either methods, the existence of solutions and range of parameter domain depending on various physical quantities is successfully analyzed. The two different approaches give good agreement with each other in predicting the velocity and temperature profiles in three-dimensional boundary layer. However, both approaches show that a solution to the problem exist only - 1 < γ < ∞ . Since the Reynolds number is asymptotically large, the flow clearly divides into two regions showing the effects of viscosity and thermal conductivity. The velocity and thermal profiles are found to be benign. Flow always attached to the wedge surfaces and, thus, related thicknesses are becoming thinner. Extensive comparisons of the various results are made and a possible explanation on the results is discussed in some detail. [ABSTRACT FROM AUTHOR]

The present article explores the influence of variable fluid properties on nanofluid flow over a wedge. The flow analysis has been considered under the effect of surface slip. It is supposed to have fluid viscosity and thermal conductivity as an inverse function and linear function of temperature, respectively. The resulting nonlinear ordinary differential equations are solved numerically using RK-4 method together with shooting procedure. The consequence of involved pertinent parameters on the flow province has been discussed through graphs and tables coupled with required discussion. Our analysis conveys that the fluid temperature is higher in the presence of variable viscosity parameter and thermal conductivity parameter. It is also observed that the wall stress decreases with increasing velocity slip parameter. [ABSTRACT FROM AUTHOR]

The three-dimensional magneto-dynamics of viscous fluids have a wide range of applications in engineering and industry, including turbine bodies, heat exchangers, drying technology, and flow on arrow wings. Therefore, the three-dimensional flow of water containing 29 nm cupric nanomaterials on a wedge-shaped surface is studied using the magnetic field, Joule heating, and frictional heating effects. The slip conditions for thermal and solutal fields are taken into account. The Li & Peterson model is considered for the thermal conductivity of the CuO-H 2 O nanoliquid, which is a function of the temperature and volume of the nanoparticles, while the experimental model of dynamic viscosity is considered. The Modified Buongiorno Model (MBM) is used, which consists of effective thermophysical properties of nanoliquids, and the mechanisms of chaotic movement and thermo-migration of nanoparticles. Nonlinear governing problem is solved by the finite element method (FEM). The heat transfer and mass transfer rates are optimized by applying the response surface methodology (RSM). The thermal boundary layer attempts to adhere to the surface of the wedge surface for a greater magnitude of the shear-strain rate factor. Furthermore, the reduced Nusselt number is greatest in the absence of a friction heating mechanism through the system compared to its presence. The optimum condition for higher heat and mass transfer takes place at Nb = 0.2131, Nt = 0.1 and δ T = 0.1 having a maximum heat transfer rate of 2.4658 and a maximum mass transfer rate of 2.8233 [ABSTRACT FROM AUTHOR]

In this work, we attempt to establish a general analytical approximation of the convection heat transfer from an isothermal wedge surface to fluids for all Prandtl numbers. The flow has been assumed to be laminar and steady state. The governing equations have been written in dimensionless form using a similarity method. A simple ad hoc technique is used to solve analytically the governing equations by proposing a general formula of the velocity profile. This formula verifies the boundary conditions and the equilibrium of the governing equations in the whole spatial region and permits us to obtain analytically the temperature profiles for all Prandtl numbers and for various configurations of the wedge surface. A comparison with the numerical results is given for all spatial regions and in wide Prandtl number values. A new Nusselt number expression is obtained for various configurations of the wedge surface and compared with the numerical results in wide Prandtl number values. [ABSTRACT FROM AUTHOR]