Nonlinear Stretching Sheet Research Articles

Thermal Diffusion and Diffusion Thermo Effects on Axi-Symmetric Boundary Layer Flow of Nanofluid Due to Non-Linear Stretching Sheet along the Radial Direction in presence of Magnetic field

Thermal Diffusion and Diffusion Thermo Effects on Axi-Symmetric Boundary Layer Flow of Nanofluid Due to Non-Linear Stretching Sheet along the Radial Direction in presence of Magnetic field

Dufour Effect on Chemically Reacting Casson Fluid Flow Over a Nonlinearly Stretching Sheet with Radiation Absorption

Dufour Effect on Chemically Reacting Casson Fluid Flow Over a Nonlinearly Stretching Sheet with Radiation Absorption

Semi-closed Solutions of Two-Dimensional Nanofluid Flow and Heat Transfer Over a Nonlinear Stretching Sheet Embedded with New Set of Similarity Transformations

Semi-closed Solutions of Two-Dimensional Nanofluid Flow and Heat Transfer Over a Nonlinear Stretching Sheet Embedded with New Set of Similarity Transformations

Porous Medium Influenced Dissipative Hybrid Casson Nanofluid Flow over a Nonlinearly Stretching Sheet under Inclined Ohmic Lorentz Force Field

Porous Medium Influenced Dissipative Hybrid Casson Nanofluid Flow over a Nonlinearly Stretching Sheet under Inclined Ohmic Lorentz Force Field

Biomagnetic Fluid Flow on a Nonlinearly Stretching Sheet with Variable Thickness in a Magnetic Environment

The main contribution of the current work is a numerical and mathematical investigation of the effects of magnetic dipole and electrical conductivity on the heat and flow transfer of biomagnetic fluid over a non-linear stretched sheet with variable thickness. Static magnetic fields are produced by magnetic dipoles, which are used in medical a pplications such as MRI, drug administration, and cancer therapy. Additionally, the impact of non-linear heat source/sink features was examined in the study, leading to an interesting phenomenon. The PDEs are attenuated to nonlinear ODEs with dealing appropriate similarity variables. These resultant ODEs are computed by developing an effective method emerged on the application of the finite differences technique. In the end, this section offers a summary of the implications resulting from different physical limitations on blood flow, including variable thickness and power index effects. It was discovered that the rise in Kelvin and Lorentz forces in the boundary layer significantly affected blood flow. The current findings for the biomagnetic fluid model are novel and inventive since they effectively expand upon the issues previously addressed by previously published scientific documentation.

IMPACT OF THERMAL RADIATION, HEAT SOURCE AND CHEMICAL REACTION ON THREE-DIMENSION FLOW PAST A NON-LINEAR STRETCHING SHEET WITH NANOPARTICLES

The main focus of the present work is to study heat and mass transfer on 3-D flow of nanofluid over a stretching sheet which is extended non-linearly in two sidewise directions. The governing equations of the problem are made dimensionless by using non-dimensional transformations and the problem is solved numerically using Matlab solver bvp4c. The temperature and concentration distributions of the fluid is determined for both linear stretching as well as non-linear stretching of the sheet for important parameters affecting the problem in graphical form and it is found that the rise in fluid temperature is always low for non-linear stretched sheet as compared to the linear one. Values of Nusselt number as well as Sherwood number are also computed to study the thermal as well as mass transfer phenomena. The numerical accuracy has also been presented by comparing the present result with existing published work.

NUMERICAL STUDY OF BIOMAGNETIC MAXWELL FLUID PAST A NONLINEARLY STRETCHING SHEET WITH CONSIDERING MAGNETIZATION AND ELECTRICAL CONDUCTIVITY

This study goal is to examine the flow of two-dimensional biomagnetic Maxwell fluid past a nonlinearly stretched sheet while it is subject to an applied magnetic field that is produced by the presence of a magnetic dipole. Assumedly, the fluids magnetization M varies linearly with temperature T and magnetic field strength H. Consideration is given to the effects of magnetohydrodynamics (MHDs) and ferrohydrodynamics (FHDs) on the flow. The controlling nonlinear partial differential equation is presented with similarity transformations to change it into coupled ordinary differential equations. These equations are then numerically solved with the help of common finite differences method. The influence of the addressed problem parameters, namely, magnetic parameter [Formula: see text], ferromagnetic parameter [Formula: see text], Deborah number [Formula: see text] and nonlinear stretching parameter [Formula: see text] on the flow profile is discussed with the help of graphical demonstration. The obtained results show that the fluid velocity increases near the wall but its reverse after a fixed point from the wall with increases nonlinearity stretching parameter. The study also demonstrates that as the magnetic field intensity increases, the temperature distributions increase while the fluid velocity decreases. It was also discovered that, in contrast to the situation of pure hydrodynamics, the effect of MHD or FHD interaction is to slow down the fluid velocity. By making numerous comparisons with previously published work, the numerical method accuracy is examined, and the comparisons show that the results are generally in good accord. Along with the flow parameters, physical parameters like the dimensionless Nusselt number and the skin friction coefficient are shown. The study will be crucial for applications in medicine.

Heat Transfer and Transport Aspects of a ZnO/Ethylene Glycol-Water Nanofluid Through a Nonlinearly Stretching Sheet

This section proposes investigating the heat transfer and transport phenomena of nanofluid passing through a non-linear stretching sheet. The 50%:50% water-ethylene glycol mixture is accepted as a base fluid to prepare a nanofluid. The influences of viscous dissipation, Joule heating, and thermal radiation in modelling are further exerted into attention. For converting partial differential systems to ordinary systems, a transformation technique is adopted. For the validation part, the numerical solution is computed by embracing a fourth-order exactness program (Bvp4c) and compared to the previously published literature. When modest quantities of zinc oxide nanoparticles are introduced to a mixture of water and ethylene glycol (EG), the effect on heat transfer relative to the base fluid is also noticeable. Furthermore, the influence of flow rate change in nanoparticle concentration on heat transfer performance is investigated. Graphical decisions reveal the values of miscellaneous-arising parameters on the velocity, temperature profile. The heat transfer rate is higher for the non-linear stretching surface than the flat surface. In comparison to nanofluid, a mixture of ethylene glycol-water with ZnO nanoparticles has superior cooling capability than the ZnO/water nanofluid.

Joint Effects of Thermophoresis and Brownian Motion on Williamson-Nano Fluid Flow Near a Non-Linearly Stretching Sheet Filled by Porous Medium

With the help of influences of Thermophoresis and Brownian motion, as well as magneto hydrodynamic boundary layers, we study an electrically conducting, incompressible, viscous Williamson-Nanofluid flow towards a stretched sheet surrounded by the porous material. Because of its form, the stretched sheet is regarded as nonlinear. The basic flow-regulating non-rectilinear fractional differential conditions are declined to non-rectilinear coupled differential equations in their most simplest form for this flow thru applying the necessary resemblance conversions arranged as fractional derivatives. Toward solve these non-rectilinear coupled conventional fractional derivatives, the Runge-Kutta technique of fourth order with shooting technique is used, depending on the boundary conditions. It is given in this research report, as well as a graph and a comprehensive analysis of the consequences of physical limitations towards flow variables including velocity besides hotness, over and above nanoparticle concentration, among other things. Numerous factors were used to compute and analyse values in numbers of the Cf, as well as Nux and Shx in addition other related variables. These plots are used to make conclusions, and the conclusions that are drawn are verified to ensure that they are accurate. From this problem, the velocity profiles are decreasing with boosting the importance of Maxwell fluid stricture in addition Element of such magnetization. With increasing effects of Thermophoresis and Brownian motion, the patterns of temperatures too increases. By means of the importance of Dufour number increases, temperature sketches are also increases. An expansion of the Thermophoresis parameter leads to increased nanoparticle volume concentration distribution and the in the instance of, the opposite effect is observed. Brownian motion effect. concentration profiles are increasing with rising values of Soret number parameter.

Numerical Analysis of Hybrid Nanofluid Flow Over a Nonlinear Stretching Sheet with Viscous Dissipation, Joule Heating Effects

The main objective of this article is to explore magnetohydrodynamic hybrid nanofluid flow past a stretching sheet. Mathematical model is developed by revisiting the work done by previous study and extended the same model for hybrid nanofluid flow scenario with viscous dissipation, joule heating and thermal radiation effects. Choosing appropriate similarity variables governing equations are transformed into system of ordinary differential equation and thereby solved by using shooting mechanism. Impact of various physical parameters on momentum, temperature and concentration profiles are shown through graphs. Important engineering quantities like skin friction coefficient, Nusselt number etc. are computed and discussed. In order to verify the code, the computed results are compared with existing literature and acceptable convergence notified in obtained results. Comparative analysis for mono particle nanofluid and hybrid nanofluid is explained for all flow parameters.

Thermal Flow for Radiative Ternary Hybrid Nanofluid over Nonlinear Stretching Sheet Subject to Darcy–Forchheimer Phenomenon

This study examines the bidimensional nonlinear convective flow of ternary hybrid nanofluid upon a nonlinear stretching sheet. Three types of nanoparticles, namely Cu , TiO 2 , Al 2 O 3 , are suspended in the base fluid taken as water with a new composition Cu + TiO 2 + Al 2 O 3 / H 2 O which is termed as ternary hybrid nanofluid. To stabilize the flow and thermal properties of the new composition, the Brownian as well as thermophoresis properties are incorporated into energy and mass equations. The nonlinear thermal radiations and heat absorption/generation terms are included in the energy equation. The effects of the Darcy–Forchheimer phenomenon are also induced in the momentum equation. The set of model equations has shifted to dimension-free form by employing suitable variables. It has concluded in this study that flow characteristics have been declined with augmenting values of volumetric fractions of solid nanoparticles, porosity, and inertia factors and have upsurge with higher values of thermal and nonlinear thermal Grashof numbers. Thermal characteristics have been observed to be augmented with growth in radiation, Brownian motion, thermophoresis, heat generation/absorption, temperature ratio factors, and volumetric fraction of solid nanoparticles. These effects are more significant for ternary hybrid nanoparticles. Concentration profiles have been declined with higher values of Brownian motion factor, Lewis number, and upsurge with growth in thermophoresis factor. It has also been deduced in this investigation that the thermal flow rate is higher for trihybrid nanofluid than hybrid or traditional nanofluids, and a percentage growth in Nusselt number has been shown through statistical chart in support of this work. Current results have been compared with established results and found a fine agreement amongst all results.

Quasi-Linearization Analysis for Entropy Generation in MHD Mixed-Convection Flow of Casson Nanofluid over Nonlinear Stretching Sheet with Arrhenius Activation Energy

Thermal performance of magnetically driven Casson nanofluid over a nonlinear stretching sheet under the influence of entropy, activation energy and convective boundary conditions was analyzed numerically, employing the quasi-linearization method (QLM). The collective behavior of thermophoretic diffusion and Brownian motion along with special effects of viscous dissipation, thermal radiation, heat generation and joule heating are considered in the energy equation for the flow problem. The addition of nanoparticles helps to stabilize the flowing of a nanofluid and maintain the symmetry of the flowing structure. The governing highly nonlinear coupled differential equations of velocity, temperature, concentration and entropy are simulated through an iterative scheme encoded with MATLAB programming language. The geometric model is, therefore, described using a symmetry technique. A comparative analysis of linear and nonlinear stretching in sheets is presented via graphs and tables regarding pertinent dimensionless parameters. It is worth noting that the Nusselt number and Sherwood number decrease at relatively higher rates with growing values of activation energy in the case of nonlinear stretching. Moreover, the entropy generation rate near the stretching surface decreases due to the strong effects of Brownian motion and thermophoretic diffusion while it goes on improving far off the stretching surface.

Two-Dimensional Thin Layer Convective Flow and Heat Transfer of a Dusty Fluid on a Nonlinear Stretching Sheet

Two-Dimensional Thin Layer Convective Flow and Heat Transfer of a Dusty Fluid on a Nonlinear Stretching Sheet

Effect of Thermal Radiation on the Flow of a Boussinesq Couple Stress Nanofluid Over a Porous Nonlinear Stretching Sheet

Effect of Thermal Radiation on the Flow of a Boussinesq Couple Stress Nanofluid Over a Porous Nonlinear Stretching Sheet

MHD Williamson Nanofluid Fluid Flow and Heat Transfer Past a Non-Linear Stretching Sheet Implanted in a Porous Medium: Effects of Heat Generation and Viscous Dissipation

The present study is carried out to examine the behavior of magnetohydrodynamic Williamson nanofluid flow and heat transfer over a non-linear stretching sheet embedded in a porous medium. In the current work, the influence of heat generation and viscous dissipation has been taken into account. The considered phenomenon in the form of partial differential equations is transformed into ordinary differential equations by utilizing an appropriate similarity transformation. The reduced form is solved by using rigorous MATLAB built-in solver bvp4c. The numerical solutions for the velocity field, temperature field, and mass concentration along with the skin friction coefficient, Nusselt number, and Sherwood number are computed. The obtained solutions are shown in graphs and are discussed with physical reasoning. It is noted that by increasing Williamson fluid parameter W, the velocity decreases and concentration profile increases. It is deduced that increasing Eckert number Ec leads to a rise in temperature and mass concentration. It has been viewed that with the increment in heat generation parameter Q, the temperature field increases and concentration decreases. The results show that an increasing magnetic field parameter M leaves a decreasing trend in the velocity field and an increasing trend in the temperature field and concentration profile. The present results are compared with the existing solution which shows good agreement and endorses the validation of current solutions.

A Study of MHD Fluid with Second Order Slip and Thermal Flow Over a Nonlinear Stretching Sheet

An electrically conducted viscous incompressible nanofluid flow caused by the nonlinear stretching surface with stagnation flow has been investigated numerically. The effect of Brownian motion and thermophoresis on the nanofluid is also incorporated. The governing partial differential equations with nonlinear second order boundary conditions are solved by the fourth order Runge-Kutta technique using MATLAB programming. The effect of the radiation parameter (<i>Rd</i>), stretching parameter (n), Brownian motion parameter (<i>Nb</i>), thermophoresis parameter (<i>Nt</i>) on temperature, velocity and mass transfer are shown graphically. The influence of some of these parameters on the local Nusselt number (− <i>θ</i>′(0)) and local Sherwood number (−<i>ϕ</i>′(0)) are shown by the graphs.

Natural Convection and Thermal Radiation Influence on Nanofluid Flow over a Nonlinearly Stretching Sheet

This paper studies the effects of Natural convection and Thermal radiation on nanofluid over a non-linearly stretching sheet. The governing equation of nonlinear partial differential equations of the flow is transformed to nonlinear ordinary differential equations by using similarity transformation, earlier than being solved numerically through a Rung-Kutta-Fehlberg method with shooting technique. The numerical results have been obtained for The influence of Brownian motion number (Nb), thermophoresis number (Nt), Grashof number (Gr), Lewis number (Le), stretching parameter (n), and thermal radiation parameter (Ra) on the velocity, temperature, and nanoparticles concentration profiles are shown graphically.

Two Dimensional Biomagnetic Fluid Flow and Heat Transfer over a Nonlinear Stretching Sheet with Temperature Dependent Viscosity

This investigated the flow and heat transfer of two dimensional biomagnetic fluid (blood) flow over a non-linear stretching sheet in the presence of magnetic dipole. It is assumed that the magnetic field is sufficiently strong enough to saturate the ferrofluid and variation of magnetization with temperature can be approximated by a linear function of temperature difference. The fluid viscosity is assumed to vary as an inverse linear function of the temperature. The governing boundary layer equations with boundary conditions are simplified to couple higher order equations using usual transformation. Numerical solutions are obtained by using bvp4c function technique in MATLAB software. The acquired results are shown graphically and were examined for several values of the dimensionless parameters. It is observed that for different values of ferromagnetic interaction parameter and variable viscosity parameter, the velocity distribution decreases while temperature distribution increases. The magnitude of skin friction coefficient and the rate of heat transfer decrease with the increasing values of radiation parameter and Prandtl number. The results are also compared for specific values of the parameters with others documented in literature.

Three Dimensional Boundary Layer Flow of MHD Maxwell Nanofluid over a Non-Linearly Stretching Sheet with Nonlinear Thermal Radiation

Three Dimensional Boundary Layer Flow of MHD Maxwell Nanofluid over a Non-Linearly Stretching Sheet with Nonlinear Thermal Radiation

Quadratic Mixed Convection Stagnation-Point Flow in Hydromagnetic Casson Nanofluid over a Nonlinear Stretching Sheet with Variable Thermal Conductivity

An analysis of nonlinear mixed convection transport of hydromagnetic Casson nanofluid over a nonlinear stretching sheet near a stagnation point is deliberated in this study. The flow is confined in a porous device in the presence of thermophoresis, Ohmic heating, non-uniform heat source with temperature-dependent thermal conductivity associated with haphazard motion of tiny particles. The transport equations are translated from nonlinear partial differential equations into ordinary ones via similarity transformation technique and subsequently tackled with shooting method coupled with Runge-Kutta Fehlberg algorithm. The significant contributions of the embedded parameters on the dimensionless quantities are graphically depicted and deliberated while the numerical results strongly agree with related published studies in the limiting conditions. It is found that a rise in the magnitude of Casson fluid parameter decelerates the fluid flow while enhancing the viscous drag and thermal profiles. The inclusion of the nonlinear convection term aids fluid flow whereas heat transfer reduces with growth in the thermophoresis and Brownian motion terms.