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The laminar boundary layer MHD three-dimensional mixed convective flow of Maxwell nanofluid towards a bidirectional stretching sheet with non-linear radiation is analyzed. A constant magnetic field is implemented normal to the fluid flow direction. A numerical technique of Runge-Kutta-Fehlberg (RFK45) is utilized to obtain the numerical solution of...
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Citations
... Both the relaxation and retardation time characteristics were investigated using an Oldroyd-B fluid model [1]. Prasannakumara et al. [2] investigated the flow of MHD 3D Maxwell nanofluid mixed convection across a bidirectional stretched sheet with nonlinear thermal radiation. They solved coupled ODEs using the RKF45 approach, and the findings showed that nonlinear thermal radiation had a major impact on thermal radiation. ...
This paper investigates the impact of Soret and Dufour's MHD flow of an Oldroyd-B fluid over a stretching sheet in the presence of thermal radiation. By a similarity transformation, the controlling partial differential equations are transformed into a system of nonlinear ordinary differential equations. Using the successive linearization method (SLM), the linear system is solved. A determination and discussion of the impacts of specific fluid parameters on the temperature, concentration distribution, and velocity are presented. As the magnetic field increases, we observe that the temperature and concentration profiles rise, while the velocity profile falls. In addition, increases in the Dufour and Soret levels will also result in an improvement in the temperature and concentration distribution. The validity of the acquired results is tested by comparing them to previously published works, with particular attention paid to the accuracy and convergence of the solution.
... The thermal boundary layer also enlarges with . Several studies declared similar behavior (see Prasannakumara et al. [17], Faisal et al. [24], and Ahmad et al. [40]). Adding thermal radiation provides extra heat energy to the system, raising the hybrid nanofluid's temperature profile [84]. ...
... Irfan et al. [21] used the variable thermal impact for double diffusion flow. The Soret effects for Maxwell material in a bidirectional regime was investigated by Prasannakumara et al. [22]. ...
The bioconvective flow of non-Newtonian fluid induced by a stretched surface under the aspects of combined magnetic and porous medium effects is the main focus of the current investigation. Unlike traditional aspects, here the viscoelastic behavior has been examined by a combination of both micropolar and second grade fluid. Further thermophoresis, Brownian motion and thermodiffusion aspects, along with variable thermal conductivity, have also been utilized for the boundary process. The solution of the nonlinear fundamental flow problem is figured out via con-vergent approach via Mathematica software. It is noted that this flow model is based on theoretical flow assumptions instead of any experimental data. The efficiency of the simulated solution has been determined by comparing with previously reported results. The engineering parameters' effects are computationally evaluated for some definite range.
... Okuvade et al. (2018) formulated the effect of Dufour, Soret, and thermal radiation on unsteady MHD convective incompressible fluid past a vertical plate. MHD mixed convective three-dimensional boundary-layer flow on a bidirectional stretching sheet with radiation, Soret, and Dufour effects was analyzed by Prasannakumara et al. (2018). Rasool et al. (2020) investigated the impact of thermal radiation, Soret-Dufour effects, and chemical reaction on the steady incompressible flow of nanofluids. ...
The current article aims to investigate Soret and Dufour's effects on MHD flow of heat and mass transfer nanofluid over a vertical stretching sheet with activation energy and radiation. Using Similarity transformations, the non-linear momentum, energy, solute, and nanoparticle concentration boundary layer equations are simplified. The resulting boundary layer equations are solved numerically with bvp4c and along with the shooting technique. The impact of various parameters on velocity, temperature, concentration, and nanoparticle volume fraction, Skin friction, local Sherwood and local Nusselt numbers are presented through graphs. It is found that the temperature, fluid velocity, and nanoparticle volume fraction enhanced with both Dufour and Soret effects.
... Several researchers have accomplished various types of study involving the magnetohydrodynamics (MHD) flow of non-Newtonian fluids because of its significant applicability in manufacturing and scientific domains such as plasma confinement and liquid metal fabrication. Many studies on the magnetohydrodynamic laminar flow of non-Newtonian liquids across various surfaces have been published [12][13][14][15][16][17][18][19][20][21][22]. The spontaneous exudation of energy from any materials having a higher temperature than absolute zero is called thermal radiation. ...
... The first part of Equation (7) physically signifies that the stretched sheet's relationship is non-linear, which has an impact on fluid flow and heat transmission mechanisms. The Rosseland radiative energy flux [13,24], which is utilized in Equation (5), is manifested by ...
Using magnetohydrodynamics (MHD), the thermal energy and mass transport boundary
layer flow parameters of Reiner–Philippoff fluid (non-Newtonian) are numerically investigated.
In terms of energy and mass transfer, non-linear radiation, Cattaneo–Christov double diffusions,
convective conditions at the surface, and the species reaction pertaining to activation energy are
all addressed. The stated governing system of partial differential equations (PDEs) is drained into
a non-linear differential system using appropriate similarity variables. Numerical solutions are
found for the flow equations that have been determined. Two-dimensional charts are employed to
demonstrate the flow field, temperature and species distributions, and rate of heat and mass transfers
for the concerned parameters for both Newtonian and Reiner–Philippoff fluid examples. The stream
line phenomenon is also mentioned in this paper. A table has also been utilized to illustrate the
comparison with published results, which shows that the current numerical data are in good accord.
The findings point to a new role for heat and mass transfer. According to the findings, increasing
values of solutal and thermal relaxation time parameters diminish the associated mass and thermal
energy layers. The current study has significant ramifications for chemical engineering systems.
... radiation, viscous dissipation, suction/injection coefficient and chemical reaction results in the increase of velocity, temperature, and heat-mass transfer rates. A few new research in this area has been conducted, including the varied impacts reported in References [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. ...
An analysis has been carried out to examine the heat and mass transfer properties of a two‐dimensional incompressible electrically conducting Maxwell fluid over a stretching sheet in the existence of Soret, Dufour, and nanoparticles. In many practical scenarios, such as the polymer extrusion process, the problem presented here is crucial. The flow is examined in terms of the impacts of magnetohydrodynamics and elasticity. Brownian motion and thermophoresis are incorporated into the transport equations. Using adequate similarity variables, the governing partial differential equations and related boundary conditions are non‐dimensionalized. The fourth–fifth‐order Runge–Kutta–Fehlberg procedure is utilized to solve the consequent transformed ordinary differential equations. The effects of various embedded thermo‐physical parameters on the fluid velocity, temperature, concentration, Nusselt number, and Sherwood number have been determined and discussed quantitatively. A comparison of a special case of our results with the one previously reported in the literature shows a very good agreement. An increase in the values of Du and Sr leads to an increase in the temperature and concentration distribution. Nusselt number estimates decrease as Nb estimations increase. Furthermore, this study leads to the study of different flows of electrically conducting fluid over a stretching sheet problem that includes the two‐dimensional nonlinear boundary equations.
... In the work of Grosan and Pop [31], a combined convection flow over a vertical cylinder has been analyzed, revealing the reduction in the velocity border layer whilst the temperature border layer enhances with the nanoparticle volume fraction. Recently, Prasannakumara et al. [32] reported a double-diffusive boundary layer flow around the stretching sheet showing a decline in velocity for growing magnitudes of Maxwell characteristics. Abdal et al. [33] have worked on the thermo-diffusion effect on MHD unsteady mixed convection of micropolar fluid over a stretching/shrinking sheet. ...
A yawed cylinder is a cylinder inclined in the plane of a flowing liquid. The liquid flow past the yawed cylinder is important for practice, namely, for bubble suppression and control of the boundary layer transition in undersea applications. It should be noted that an inclined cylinder characterizes an asymmetrical behavior of fluid flow and heat transfer. Energy and mass transference characteristics of a steady nonlinear convective flow over the yawed cylinder by accounting for chemically reactive species and viscous dissipation are analyzed in this investigation. The differential equations defining the boundary layer parameters are then transformed into a dimensionless view, taking into account the non-similar transformation. It should be noted that the governing equations have been written using the conservation laws of mass, momentum, energy, and concentration. These considered equations allow the simulation of the analyzed phenomenon using numerical techniques. Further, quasilinearization and implicit finite difference approximation are used to work out the non-dimensional governing equations. A parametric investigation of all the pertinent characteristics accompanies this. A descriptive system of computation outcomes for the velocity, temperature, and concentration patterns, the drag coefficients, Nu and Sh, is demonstrated by graphs. Enhancing the magnitudes of the Eckert number raises the temperature pattern while energy transport strength is reduced. As the species concentration profile diminishes, the mass transfer characteristics are enhanced for raising magnitudes of the nonlinear chemical reaction parameter. Further, a velocity profile along the chordwise direction rises with enhancing magnitudes of nonlinear convection characteristics and yaw angle. Furthermore, the velocity pattern along the spanwise direction enhances with the growing magnitudes of yaw angle. For assisting buoyancy flow, the friction parameter at the border in the spanwise direction enhances with rising values of yaw angle.
... Improving the rate of heat transfer is one of the top priorities of several manufacturing industries and technological devices. This will Nomenclature Unsteady Parameter Magnetic field strength (N m A −1 ) Concentration in boundary layer Local Skin friction coefficient Specific Heat capacity at constant pressure (J Kg − [28][29][30][31]. ...
This paper presents a mathematical analysis of multiple slip, Soret and Dufour effects in a boundary layer flow of an electrically conducting nanofluid over a vertically stretching sheet. The flow situation has been described mathematically by using partial differential equations. Suitable transformations are utilized to make the model equation convenient for computation. An efficient optimal homotopy analysis method has been implemented successfully to obtain analytic approximations to the unknown functions in the flow problem. The influences of wall slip parameters, porosity of the medium, Buoyancy forces, magnetic field, thermal radiation, Soret and Dufour effects, heat source and chemical reaction parameters are examined in detail. The variations of the dimensionless velocity, temperature and concentration profiles in relation to the emerging parameters are explored intensively. The rates of momentum, heat and mass transfer near the stretching surface are also studied against the pertinent parameters. The study reveals that the increase in velocity slip parameter speeds up the fluid motion and increasing the Soret effect raises concentration of nanoparticles near the stretching sheet. Further, the analytic approximations for the solutions of the present model obtained by implementing the optimal homotopy analysis method are found in a very good agreement with some early works under common assumptions.
... Irfan et al. (Irfan et al., 2018) explored the aspects of heat generation or sink and magnetic field on the Maxwell liquid wrapped up a cylinder. Prasannakumara et al. (Prasannakumara et al., 2018) studied the nanoparticles suspension on Maxwell fluid stream through stretchy geometry with Soret and Dufour effects. Ahmed et al. (Ahmed et al., 2019) used Maxwell nanofluid to scrutinize the impact of radiation effect. ...
The main objective of current communication is to present a mathematical model and numerical simulation for momentum and heat transference characteristics of Maxwell nanofluid flow over a stretching sheet. Further, magnetic dipole, non-uniform heat source/sink, and chemical reaction effects are considered. By using well-known similarity transformation, formulated flow equations are modelled into OD equations. Numerical solutions of the governing flow equations are attained by utilizing the shooting method consolidated with the fourth-order Runge-Kutta with shooting system. Graphical results are deliberated and scrutinized for the consequence of different parameters on fluid characteristics. Results reveal that the temperature profile accelerates for diverse values of space dependent parameter, but it shows opposite behaviour for escalated integrity of temperature dependent parameter.
... Significant researches in this direction are mentioned in Refs. [27][28][29][30][31][32][33][34][35][36][37][38] . ...
In this study, the effects of variable characteristics are analyzed on a three-dimensional (3D) dusty Casson nanofluid flow past a deformable bidirectional surface amalgamated with chemical reaction and Arrhenius activation energy. The surface is deformable in the direction of the x- axis and y- axis. The motion of the flow is induced due to the deformation of the surface. The impression of Soret and Dufour's effects boost the transmission of heat and mass. The flow is analyzed numerically with the combined impacts of thermal radiation, momentum slip, and convective heat condition. A numerical solution for the system of the differential equations is attained by employing the bvp4c function in MATLAB. The dimensionless parameters are graphically illustrated and discussed for the involved profiles. It is perceived that on escalating the Casson fluid and porosity parameters, the velocity field declines for fluid-particle suspension. Also, for augmented activation energy and Soret number, the concentration field enhances. An opposite behavior is noticed in the thermal field for fluctuation in fluid-particle interaction parameters for fluid and dust phase. Drag force coefficient increases on escalating porosity parameter and Hartmann number. On amplifying the radiation parameter heat and mass flux augments. A comparative analysis of the present investigation with an already published work is also added to substantiate the envisioned problem.
