Magnetohydrodynamics natural convection boundary layer flow of dusty fluid past a vertical stretching sheet

Research on magnetohydrodynamics in natural convection boundary layer flow of dusty fluid has become a great interest in the fluid mechanic dynamics due to its importance in many engineering applications. However, the present of solid particles in the form of dust, ash or soot in dusty fluid either naturally or deliberately, suspended in the electrically conducting fluid may influence the fluid flow characteristics. Therefore, in this study the effect of suspended particles on magnetohydrodynamics flow in a viscous fluid past a vertical stretching sheet is investigated. Specific cases with different effects are considered such as slip effect, thermal radiation, convective boundary condition and Hall effect. The governing non-lin ear partial differential equations of the problems are transformed into a set of non-linear ordinary differential equations by using a suitable similarity transformation . The obtained equations are solved numericall y by Keller-box method . The numerical results of velocity profile, temperature profile, skin friction and Nusselt number affected by fluid-particle interaction , magnetic, slip velocity, slip thermal , radiation and Hall parameters as well as Biot number, Grashof number and Prandtl number for particle and fluid phases are presented graphically and analyzed in detail. This study shows that, the presence of suspended particles in a fluid caused the momentum and thermal boundary layer thickness to become thinner. The magnetic parameter plays the role in decreasing the velocity profile and momentum boundary layer thickness. Also, magnetic parameter affects the increment of the temperature profile and thermal boundary layer thickness. In addition , increasing slip velocity parameter reduces the velocity profile and skin friction. However, increasing slip thermal parameter decreases temperature profile and Nusselt number. Furthermore, radiation parameter is observed to increase the velocity profile , temperature profile and thermal boundary layer thickness. Lastly, the Hall parameter increases the velocity profile but decreases the temperature profile. In all cases studied, the velocity and temperature profiles for fluid phase are always higher than the dust phase

Stagnation point flow of MHD dusty fluid toward stretching sheet with convective surface

This paper presents the study of stagnation point of hydromagnetic flow of dusty fluid over a stretching sheet with the bottom surface of sheet heated by convection from hot fluid. The governing partial differential equations are transformed into a system of nonlinear ordinary differential equations using similarity transformation. These resulting nonlinear ordinary differential equations are solved numerically by using Runge-Kutta Fehlberg fourth-fifth order method (RKF45 Method). The characteristics of velocity and temperature profiles of hydromagnetic fluid flow of dusty fluid are analyzed and discussed for different parameters of interest such as convective Biot number, fluid-particle interaction parameter, magnetic parameter, ratio of free stream velocity parameter and Prandtl number on the flow. The numerical results are compared with previous published results for validation

Analysis of convective transport of temperature-dependent viscosity for non-newtonian erying powell fluid: A numerical approach

Non-Newtonian is a type of fluid that does not comply with the viscosity under the Law of Newton and is being widely used in industrial applications. These include those related to chemical industries, cosmetics manufacturing, pharmaceutical field, food processing, as well as oil and gas activities. The inability of the conventional equations of Navier–Stokes to accurately depict rheological behavior for certain fluids led to an emergence study for non-Newtonian fluids’ models. In line with this, a mathematical model of forced convective flow on non-Newtonian Eyring Powell fluid under temperature-dependent viscosity (TDV) circumstance is formulated. The fluid model is embedded with the Newtonian heating (NH) boundary condition as a heating circumstance and is assumed to move over a stretching sheet acting vertically. Using appropriate similarity variables, the respective model was converted into ordinary differential equations (ODE), which was later solved utilizing the Keller box approach. The present model is validated by comparing the existing output in literature at certain special limiting cases, where the validation results display a firm agreement. The current outputs for the proposed model are shown in tabular and graphical form for variation of skin friction plus Nusselt number, velocity and temperature distribution, respectively

Two-phase flow of non-newtonian eyring fluid over a vertical stretched surface with temperature dependent viscosity

The investigation of the fluid flow problem via mathematical approach for non-Newtonian fluid is challenging due to the rise in complexity in its model. However, the study still attracted researchers since the model is able to capture properties of the existing fluid involved in industrial applications. There are several models representing the non-Newtonian fluid. In this paper, the model of Eyring-Powell fluid with dust particle under influence of temperature dependent viscosity is discussed. The model is formulated using the law of conservation of mass, the first law of thermodynamics and Navier-Stokes equation. The complexity of the model is reduced to a set of ordinary differential equations and the computation is done by using the finite difference method. The validation of the present results is attained by direct comparison with those existing in literature which is found to be in excellent agreement. The investigation revealed the viscosity of the fluid affecting the flow characteristics in both the phases

Unsteady hydromagnetic flow of dusty fluid and heat transfer over a vertical stretching sheet with thermal radiation

In this paper, the hydromagnetic flow of dusty fluid over a vertical stretching sheet with thermal radiation is investigated. The governing partial differential equations are reduced to nonlinear ordinary differential equations using similarity transformation. These nonlinear ordinary differential equations are solved numerically using Runge-Kutta Fehlberg fourth-fifth order method (RKF45 Method). The behavior of velocity and temperature profiles of hydromagnetic fluid flow of dusty fluid is analyzed and discussed for different parameters of interest such as unsteady parameter, fluid-particle interaction parameter, the magnetic parameter, radiation parameter and Prandtl number on the flow

Stagnation point flow of a MHD dusty fluid toward stretching sheet with convective surface

This paper presents the study of stagnation point of hydromagnetic flow of dusty fluid over a stretching sheet with the bottom surface of sheet heated by convection from hot fluid. The governing partial differential equations are transformed into a system of nonlinear ordinary differential equations using similarity transformation. These resulting nonlinear ordinary differential equations are solved numerically by using Runge-Kutta Fehlberg fourth-fifth order method (RKF45 Method). The characteristics of velocity and temperature profiles of hydromagnetic fluid flow of dusty fluid are analyzed and discussed for different parameters of interest such as convective Biot number, fluid-particle interaction parameter, magnetic parameter, ratio of free stream velocity parameter and Prandtl number on the flow. The numerical results are compared with previous published results for validation

Impact of chemical reaction, thermal radiation and porosity on free convection Carreau fluid flow towards a stretching cylinder

Understanding fluid flow, heat, and mass transfer over a stretching cylinder is essential in ascertaining the quality of wire coating and coper thinning. This study looks at the influence of the heat source, thermal radiation, chemical reaction, and natural convection of Carreau fluid flows over a vertical stretching cylinder immersed in a porous medium. Suitable similarity variables are applied to convert the partial governing equations arising in fluid flows, heat, and mass transfer into ordinary differential equations. The optimal homotopy analysis method is then utilized to solve the transformed highly nonlinear governing equations. The impacts of the relevant parameters such as the Weissenberg number, porosity, heat source parameter, radiative number, chemical reaction parameter, mixed convection parameter, and curvature parameter on the dimensionless velocity, temperature, and concentration distribution as well as for the skin friction, Nusselt number, and Sherwood number are discussed through graphs and tables. It is observed that the velocity shows an opposite behavior as compared to temperature, and concentration in shear-thinning, n<1, and shear-thickening, n=1, fluid for an increment of the Weissenberg number. Additionally, the thickness of the momentum, thermal, and concentration boundary layer is enhanced by the curvature of the cylinder

Mixed convection of non-newtonian erying powell fluid with temperature-dependent viscosity over a vertically stretched surface

The viscosity of a substance or material is intensely influenced by the temperature, especially in the field of lubricant engineering where the changeable temperature is well executed. In this paper, the problem of temperature-dependent viscosity on mixed convection flow of Eyring Powell fluid was studied together with Newtonian heating thermal boundary condition. The flow was assumed to move over a vertical stretching sheet. The model of the problem, which is in partial differential equations, was first transformed to ordinary differential equations using appropriate transformations. This approach was considered to reduce the complexity of the equations. Then, the transformed equations were solved using the Keller box method under the finite difference scheme approach. The validation process of the results was performed, and it was found to be in an excellent agreement. The results on the present computation are shown in tabular form and also graphical illustration. The major finding was observed where the skin friction and Nusselt number were boosted in the strong viscosity

Electro-magnetic radiative flowing of Williamson-dusty nanofluid along elongating sheet: Nanotechnology application

The flowing of nanomolecules in Williamson nanoliquids via a stretched sheet has a significant influence, and its demand in the manufacturing, therapeutic disciplines, medication, and cooking supplies is enormous and frequently reported. However, 2-dimensional (2-D) combined convective flowing of Williamson-dusty nanofluid (WDNF) via a stretchable sheet in the presence of a magneto force and the porous medium remains unidentified. Hence, this report inspects the combined influence of Brownian and thermophoretic diffusion preserved in magneto WDNF modeling in the occurrence of radiative flowing. The Runge-Kutta Fehlberg approach (RKFA) is used to numerically study the problem of an ordinary differential system employing shooting techniques. The table also addresses the frictional force factor, heat, and mass transmission rate, as well as validates the current findings with earlier available results in the scheduled manner. The acquired outcomes demonstrate that a larger magnetic field decreases the rapidity and thickening of the impetus boundary layer of nanofluids. The momentum dust parameter and the fluid interaction parameter are shown to enhance the heat transmission rate. The rapidity and temperature fields of the liquid and dusty phases improved as the radiation parameter was raised on the contrary of magnetism force which causes dwindling in two phases. Consequently, the examined model's heat transference is reduced in the opposite direction of the Weissenberg number by the magnetic force. Additionally, it is found that higher thermophoresis parameters show an increasing trend in temperature for both phases