Numerical simulation of periodic MHD casson nanofluid flow through porous stretching sheet

The perspective of this paper is to characterize a Casson type of Non-Newtonian fluid flow through heat as well as mass conduction towards a stretching surface with thermophoresis and radiation absorption impacts in association with periodic hydromagnetic effect. Here heat absorption is also integrated with the heat absorbing parameter. A time dependent fundamental set of equations, i.e. momentum, energy and concentration have been established to discuss the fluid flow system. Explicit finite difference technique is occupied here by executing a procedure in Compaq Visual Fortran 6.6a to elucidate the mathematical model of liquid flow. The stability and convergence inspection has been accomplished. It has observed that the present work converged at, Pr ≥ 0.447 indicates the value of Prandtl number and Le ≥ 0.163 indicates the value of Lewis number. Impact of useful physical parameters has been illustrated graphically on various flow fields. It has inspected that the periodic magnetic field has helped to increase the interaction of the nanoparticles in the velocity field significantly. The field has been depicted in a vibrating form which is also done newly in this work. Subsequently, the Lorentz force has also represented a great impact in the updated visualization (streamlines and isotherms) of the flow field. The respective fields appeared with more wave for the larger values of magnetic parameter. These results help to visualize a theoretical idea of the effect of modern electromagnetic induction use in industry instead of traditional energy sources. Moreover, it has a great application in lung and prostate cancer therapy

Comparative simulation of nonlinear radiative nano casson and maxwell fluids with periodic magnetic force and sensitivity analysis

This study investigated cyclic magneto-hydrodynamic radiative effects in Casson and Maxwell fluids, including nonlinear radiation and Arrhenius activation energy. It promotes non-Newtonian fluid use in diverse fields like industry, manufacturing, sciences, medicine, and engineering. Using boundary layer approximations, non-dimensional equations are formulated. For numerical solutions, widely recognized explicit finite difference method (EFDM) has been utilized. To ensure the robustness of EFDM results, stability and convergence tests are performed. Exploration involve a detailed sensitivity analysis by using RSM, offering a thorough understanding of influential parameters. These analyses explore complex interactions among physical parameters, affecting Nusselt number, skin friction, and Sherwood number. Maxwell fluid's velocity is more affected by periodic magnetic force than Casson fluid, during the presence of nonlinear radiation. Additionally, nonlinear thermal radiation has a greater impact on temperature and concentration profiles compared to linear radiation for both fluids. Moreover, Casson fluid has a stronger influence on the average heat transfer rate compared to Maxwell fluid with nonlinear thermal radiation which is 8.6 % greater than the Maxwell fluid. On the other hand, at constant thermal radiation (Ra), due to decrease of Brownian motion (Nb), the rate of heat transfer is reduced by 1.2 % and 0.3 % respectively for Maxwell and Casson fluid. Also, for thermophoresis parameter (Nt), this rate is reduced by 2 % and 1.6 % respectively. The investigation also revealed that the Ra exhibits a positive sensitivity towards average Nusselt number, while Nb and Nt are displayed a negative sensitivity

Non-linear radiative second-grade nano fluid with sinusoidal magnetic force and arrhenius activation energy: A computational exploration

The goal of this work is to further improve our knowledge of the nonlinear radiative second-grade nano fluid flow boundary layer phenomena which is associated with an Arrhenius activation energy, a sinusoidal magnetic field, and a stretched peripheral with a heat source. The unsteady governing equations are transformed into a proper dimensionless arrangement, and then the explicit finite difference (EFD) method is applied to numerically calculate the equations. However, precise stability and convergence criteria have been developed to make the solution convergent. Along with the typical profile of other flow fields, the oscillatory forms of the velocity are shown. Tabular research has even demonstrated a relationship between the Nusselt number and other parameters, and graphical depiction has been used for regression and data prediction. The novel conclusions drawn from this research indicate that, in comparison to linear patterns, nonlinear radiative heat flux significantly raises (30.35 %) flow profiles with second-grade characteristics. Moreover, the heat transfer rates of second-grade Nano fluids are seen to be significantly influenced (35.14 %) by the sinusoidal magnetic component. When considering nonlinear thermal radiation, activation energy principles cause a major change (34.19 % more) in mass transmission, as high-temperature processes become an essential part of chemical reactions

Computational modelling of multiphase fluid flow behaviour over a stretching sheet in the presence of nanoparticles

Present study analysed hydrodynamic flow behaviour of multiphase radiative Casson and Maxwell fluids with the appearance of nano-sized particles. The impression of a nonlinear chemical reaction is also considered. Firstly, the time-dependent governing equations were computationally resolved using finite difference discretisation methods. Secondly, the convergence analysis with stabilisation of the numerical approach is carried out where the current model has converged for Le ≥ 0.025 and Pr ≥ 0.075. Finally, the impressions of various pertinent parameters are depicted diagrammatically along with tabular analysis on diversified flow fields. The main aim is to define and draw a comparison between Maxwell and Casson fluids on different flow fields. In addition, a comparative study between these two fluids is also newly carried out in this work through the analysis of streamlines and isotherms plotting. Furthermore, the thermal and mass properties found significantly improved mostly in the case of Maxwell fluid. However, Eckert number, Ec, has influenced the temperature field significantly for Casson fluid, and some parameters (Du, Nt, Nb, Le, Pr and Sr) have represented the identical impact on respective fields for both fluids. For the numerical validation, some comparisons are also shown with previous studies and satisfactory agreement is observed

Combined impacts of thermoelectric and radiation on hydromagnetic nanofluid flow over a nonlinear stretching sheet

Controlling heat transmission in the polymer manufacturing business has always depended on the thermal radiation component and the development of a variety of novel technical processes, such as solar energy technology and combustion of fossil fuels occur at high temperatures. Therefore, it would appear significant to study heat radiation and because of that this research delivers a numerical evaluation of the cumulative influence of Hall current and radiation of heat on MHD fluid flow across stretchable surface which is non-linear. Nevertheless, it has been considered that the fluid conveys tiny (1-100 nm) particles. The model equations have been made non-dimensional using the boundary layer approach and non-dimensional components. Then, using the finite difference approach, the acquired non-dimensional equations are numerically constructed. The solution of the fluid flow is discussed to investigate the primary plus secondary velocity, temperature but also concentration ordination. Skin friction, coefficient of transmission of mass, and coefficient of transmission of heat are some of the significant boundary layer phenomena that are investigated. Streamlines, as well as isothermal lines, have also been employed to display an upgraded representation of the fluid flow. A closer examination reveals that the cumulative effects of the Hall current and radiation parameter have a larger influence on primary and secondary velocity than the individual impacts of the Hall current and radiation factor. It is also revealed that when both radiation and Hall current influences are included, the heat transfer capabilities of the fluid are considerably higher than when only one of them is examined

Computational modelling of chemically reactive and radiative flow of Casson-Carreau nanofluids over an inclined cylindrical surface with bended Lorentz force presence in porous medium

The main objective of this study is to investigate magnetohydrodynamics (MHD) boundary layer heat and mass transfer analysis for Casson-Carrreau nanofluids flowing over an inclined cylindrical surface with bended Lorentz force, presence in porous medium. The effects of thermal radiation, higher order chemical reaction, heat generation, Soret and Dufour effects are also considered in multiphase fluid flow. The established partial differential governing equations are transformed into dimensionless momentum, energy and concentric equations and are solved numerically by using explicit finite difference method (EFDM) with employing Compact visual FORTRAN 6.6a programming algorithm. In order to test the accuracy of the system, the stability and convergence analysis are carried out by applying the initial and boundary conditions. A tabular comparison is also shown to validate the numerical modelling and an excellent agreement is found. The obtained results are discussed for several values of physical parameters viz. Prandtl number, magnetic parameter, Casson fluid parameter, Weissenberg number, thermal Grashof number, mass Grashof number, Biot number, phase angle parameter, Darcy number, heat source parameter, chemical reaction, order of chemical reaction, radiation, Soret and Dufour number, Eckert number, Lewis number, Brownian motion and thermophoresis number on the velocity, temperature, concentration, skin friction, Nusselt number. Finally, it is concluded that the heat and mass transform accomplishment of Casson fluid is relatively lower than that of Carreau fluid

Computational modelling on MHD radiative sisko nanofluids flow through a nonlinearly stretching sheet

The boundary layer phenomena for Sisko-nano fluid flow is being observed with the effect of MHD and thermal radiation on a non-linear stretched surface. For developing a fundamental flow model, a boundary layer approximation is done, which represents time subservient momentum, concentration and energy equations. By taking the assistance of Compaq Visual Fortran, the fundamental equations are analysed by imposing a finite difference scheme explicitly. A stability and convergence study is also exhibited, and the ongoing investigation is found converged for Lewis number, Le >= 0.161 and Prandtl number, Pr >= 0.668. The impression of Sisko fluid parameter (A1, A2) along with diversified appropriate parameters is depicted in various flow fields. However, the developed visualisation of fluid flow is also depicted through streamlines and isotherms

Explicit finite difference analysis of an unsteady MHD flow of a chemically reacting Casson fluid past a stretching sheet with Brownian motion and thermophoresis effects

This study intends to elaborate the heat and mass transfer analysis of Casson nanofluid flow past a stretching sheet together with magnetohydrodynamics (MHD), thermal radiation and chemical reaction effects. The boundary layer approximations established the governing equations, i.e., time-subservient momentum, energy and diffusion balance equations. An explicit finite difference scheme was implemented as a numerical technique where Compaq Visual Fortran 6.6.a programming code is also developed for simulating the fluid flow system. In order to accurateness of the numerical technique, a stability and convergence analysis was carried out where the system was found converged at Prandtl number, Pr ≥ 0.062 and Lewis number, Le ≥ 0.025 when τ = 0.0005, ΔX = 0.8 and ΔY = 0.2. The non-dimensional outcomes are apprehended here which rely on various physical parameters. The impression of these various physical parameters on momentum and thermal boundary layers along with concentration profiles are discussed and displayed graphically. In addition, the impact of system parameters on Cf, Nu and Sh profiles with streamlines and isothermal lines are also discussed. © 2018 The Author

Energy and magnetic flow analysis of Williamson micropolar nanofluid through stretching sheet

A mathematical framework has been designed to speculate the physical aspects of a binary chemical reaction (BCR) and Arrhenius activation energy (ACE) on magnetohydrodynamics Williamson micropolar nanofluid flow through a vertical stretching sheet. The fluid viscosity, electrical and thermal conductivity are presumed as reliant temperature function. Furthermore, the Lorentz force is deployed with an angle to the normal of the fluid flow. The natural transformations have been chosen to determine the non-dimensional regular expressions of the model. A conditionally stable finite difference analysis (explicit) is implemented to establish the computational analysis of the transfigured non-linear system of PDEs. The precision of the present numerical solution has been enriched by accomplishing analysis of stability as well as system convergence of finite difference analysis. The graphical representation, along with the tabular depiction, has been done for narrating the physical behaviour of important parameters extensively on various flow fields. The fluctuation of the boundary layer thickness is traced out with the assistance of streamlines, isotherms, and iso-concentration for the impression of the buoyancy ratio parameter and Lewis number. To draw perfection, achieved consequences of the current solution have been contrasted with some subsisting literature

A simulation of Casson fluid flow with variable viscosity and thermal conductivity effects

This article is related with the simulation of mass and heat relocation behavior of viscous dissipative chemically reacted Casson fluid which is flowing with impact of suction, thermal conductivity and fickle viscosity. Current conductivity along with temperature dependent viscosity changes as a linear function of temperature. First of all, leading equations are converted into dimensionless form via suitable transformations. Therefore explicit finite differential technique has solved the obtained non-dimensional, non-similar mixed non-linear and partial differential equations with the support of Compaq Visual Fortran 6.6.a, a very well-known programing language. The behavior of various relevant parameters in the boundary profile velocity, temperature and concentration was considered realistically. Therefore, these variables have a diagrammatic influence on skin friction and the heat transference coefficient profiles. Stability and convergence tests are also carried out for the accuracy of implemented numerical scheme. One of the significant attainment is the Casson fluid parameter displayed quite interesting behavior on the velocity fields as it represented provoking behavior close to the boundary but it behaved oppositely away from the boundary surface. However, a comparison is also presented with good agreement for the validation of the current investigation