scholarly journals Numerical Approach Towards Gyrotactic Microorganisms Hybrid Nanoliquid Flow with the Hall current and Magnetic Field Over A Spinning Disk

2020 ◽  
Author(s):  
Muhammad Bilal ◽  
Muhammad Khan ◽  
Muhammad Shuaib
Keyword(s):  
Magnetic Field ◽  
Hall Current ◽  
Transmission Rate ◽  
Continuation Method ◽  
Numerical Approach ◽  
Covalent Modification ◽  
Heat Transmission ◽  
Carrier Fluid ◽  
Spinning Disk ◽  
Parametric Continuation

Abstract The article explores the upshot of Hall current, thermal radiation and magnetic field on hybrid nanoliquid flow over the surface of a spinning disk. The motive of the present effort to upgrade the heat transmission rate for engineering and industrial purposes. The hybrid nanoliquids as comparative to the conventional fluids have higher thermal properties. A special class of nanoparticles known as carbon nanotubes (CNTs) and iron ferrite Fe3O4 are added to the base fluid. The system of modeled equations is depleted into dimensionless differential equations through similarity transformation. The transform equations are further solved through Parametric Continuation method (PCM). For parametric study the embedding flow factors on velocity, energy, mass transmission and motile microorganism’s concentration profiles have been sketched. The obtained results are compared with the existing literature, which shows best settlement. It concluded that the heat transmission rate reduces for Hall current and rises with radiative factor. The results perceived that the addition on CNTs in carrier fluid is more efficacious than any other types of nanoparticles, due to its C-C bond. CNTs nanoliquid can be more functionalized for the desired achievement, which can be utilize for a variety of applications by functionalization of non-covalent and covalent modification.

scholarly journals Numerical approach towards gyrotactic microorganisms hybrid nanoliquid flow with the hall current and magnetic field over a spinning disk

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Yu-Pei Lv ◽  
Ebrahem A. Algehyne ◽  
Maryam G. Alshehri ◽  
Ebraheem Alzahrani ◽  
Muhammad Bilal ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Hall Current ◽  
Transmission Rate ◽  
Continuation Method ◽  
Covalent Modification ◽  
Physical Parameters ◽  
Hybrid Nanofluid ◽  
Heat Transmission ◽  
Carrier Fluid ◽  
Spinning Disk

AbstractThe article explores the effect of Hall current, thermal radiation, and magnetic field on hybrid nanofluid flow over the surface of a spinning disk. The motive of the present effort is to upgrade the heat transmission rate for engineering and industrial purposes. The hybrid nanofluids as compared to the conventional fluids have higher thermal properties. Therefore, in the present article, a special class of nanoparticles known as carbon nanotubes (CNTs) and iron ferrite nanoparticles are used in the base fluid. The system of modeled equations is depleted into dimensionless differential equations through similarity transformation. The transform equations are further solved through the Parametric Continuation method (PCM). For the parametric study, the physical parameters impact on velocity, energy, mass transmission, and motile microorganism’s concentration profiles have been sketched. The obtained results are compared with the existing literature, which shows the best settlement. It concluded that the heat transmission rate reduces for Hall current and rises with radiative parameter. The results perceived that the addition of CNTs in carrier fluid is more efficacious than any other types of nanoparticles, due to its C–C bond. CNTs nanofluid can be more functionalized for the desired achievement, which can be utilized for a variety of applications by functionalization of non-covalent and covalent modification.

scholarly journals Numerical analysis of thermal conductive hybrid nanofluid flow over the surface of a wavy spinning disk

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Ali Ahmadian ◽  
Muhammad Bilal ◽  
Muhammad Altaf Khan ◽  
Muhammad Imran Asjad
Keyword(s):  
Thermal Energy ◽  
Transmission Rate ◽  
Continuation Method ◽  
Three Dimensional ◽  
Hybrid Nanoparticles ◽  
Hybrid Nanofluid ◽  
Energy Transmission ◽  
Carrier Fluid ◽  
Spinning Disk ◽  
Homotopy Analysis

Abstract A three dimensional (3D) numerical solution of unsteady, Ag-MgO hybrid nanoliquid flow with heat and mass transmission caused by upward/downward moving of wavy spinning disk has been scrutinized. The magnetic field has been also considered. The hybrid nanoliquid has been synthesized in the presence of Ag-MgO nanoparticles. The purpose of the study is to improve the rate of thermal energy transmission for several industrial purposes. The wavy rotating surface increases the heat transmission rate up to 15%, comparatively to the flat surface. The subsequent arrangement of modeled equations is diminished into dimensionless differential equation. The obtained system of equations is further analytically expounded via Homotopy analysis method HAM and the numerical Parametric continuation method (PCM) method has been used for the comparison of the outcomes. The results are graphically presented and discussed. It has been presumed that the geometry of spinning disk positively affects the velocity and thermal energy transmission. The addition of hybrid nanoparticles (silver and magnesium-oxide) significantly improved thermal property of carrier fluid. It uses is more efficacious to overcome low energy transmission. Such as, it provides improvement in thermal performance of carrier fluid, which play important role in power generation, hyperthermia, micro fabrication, air conditioning and metallurgical field.

scholarly journals Variable thickness flow over a rotating disk under the influence of variable magnetic field: An application to parametric continuation method

2020 ◽  
Vol 12 (6) ◽  
pp. 168781402093638 ◽  
Author(s):  
Muhammad Shuaib ◽  
Rehan Ali Shah ◽  
Muhammad Bilal
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Variable Thickness ◽  
Numerical Scheme ◽  
Continuation Method ◽  
Finite Difference Methods ◽  
Rotating Disk ◽  
Variable Magnetic Field ◽  
Physical Parameters ◽  
Parametric Continuation

The present work explores the behavior of three-dimensional incompressible viscous fluid flow and heat transfer over the surface of a non-flat stretchable rotating disk. A variable thickness fluid is subjected under the influence of an external variable magnetic field and heat transfer. Navier–Stokes equation is coupled with Maxwell equations to examine the hydrothermal properties of fluid. The basic governing equations of motion are diminished to a system of nonlinear ordinary differential equations using appropriate similarity framework, which are further treated with numerical scheme known as parametric continuation method. The parametric continuation method has combined interesting characteristics of both shooting and implicit finite difference methods. For validity of the present numerical scheme, a comparison with the published work is performed and it is found that the results are in excellent agreement with each other. Numerical and graphical results for the velocity, temperature, and magnetic strength profiles as well as skin fractions and Nusselt number are presented and discussed in detail for various physical parameters. The heat transfer process is reduced with positive increment of no-flatness parameter [Formula: see text], while Prandtl number increases the heat transfer rate at the surface of the disk.

scholarly journals Radiation and Magnetic Field Impacts on Time-Dependent Mixed Convection Flow and Heat Transmission of Maxwellian Fluid Past A Stretching Sheet

Coatings ◽  
2020 ◽  
Vol 10 (3) ◽  
pp. 208
Author(s):  
Sajjad Haider ◽  
Imran Syed Muhammad ◽  
Yun-Zhang Li ◽  
Faraz ◽  
Adnan Saeed Butt
Keyword(s):  
Magnetic Field ◽  
Mixed Convection ◽  
Transmission Rate ◽  
Skin Friction Coefficient ◽  
Convection Flow ◽  
Mixed Convection Flow ◽  
Heat Transmission ◽  
Boundary Layer Equations ◽  
Flow Parameters ◽  
Unsteady Mixed Convection

The current study was devoted to explicating the impacts of heat transmission in an unsteady mixed convection flow of an upper convected Maxwell (UCM) fluid passing over a continuously stretching surface under the influence of radiation and magnetic field. Appurtenant similarity transmutations were adopted in order to express the constitutive boundary layer Equations of flow and heat transmission in non-dimensionalized form. The reduced system of partial differential Equations was solved by implementing the implicit finite difference method (IFDM). Our center of attention was to scrutinize the behavior of influential flow parameters on some significant features of flow and heat transmission, which were briefly examined, discussed, and presented in both graphical and tabular formats. Finally, a comparison was established with existing literature in limiting cases to support the present results, and a good agreement was found, corroborating our work. It was predicted that the thermal diffusion rate could be controlled by varying the Prandtl number. Moreover, a rise in radiation and magnetic field parameters reduced the skin friction coefficient and led to enhance the heat transmission rate at the surface. The outcomes of the study might have viable implementations in order to improve the quality of industrial products.

scholarly journals Von-Karman rotating flow in variable magnetic field with variable physical properties

2021 ◽  
Vol 13 (2) ◽  
pp. 168781402199046
Author(s):  
Muhammad Shuaib ◽  
Rehan Ali Shah ◽  
Muhammad Bilal
Keyword(s):  
Magnetic Field ◽  
Transmission Rate ◽  
Nonlinear Differential Equations ◽  
Variable Magnetic Field ◽  
Temperature Fields ◽  
Nonlinear Pdes ◽  
Heat Transmission ◽  
Suction Parameter ◽  
Slip Factor ◽  
The Impact

The steady incompressible slip flow with convective heat transport under the impact of a variable magnetic field has been taken into an account over a revolving disk. The temperature dependent viscosity, density, and thermal conductivity has been scrutinized. The obtained system of nonlinear differential equations governing the induced magnetic field, steady flow, and heat transmission has put down in polar cylindrical coordinates. The subsequent arrangement of nonlinear PDEs are subside into dimensionless system of ordinary equations, while making use of similarity abstraction. The modeled equations are tackled through Homotopy Analysis Method (HAM). The skin fraction coefficient, heat transmission rate, and Nusselt number (skin effects coefficient) are deliberated. From the results, It can be perceived that the slip factor effectively controls the heat and the flow characteristics. The influence of dimensionless numbers such as Batcheler number [Formula: see text] and magnetic strength [Formula: see text] and [Formula: see text] are explored and shown graphically. Further the out-turn of Prandtl number, relative temperature difference, suction parameter, and slip factor on the temperature fields and velocity profile are discussed.

Determination of catastrophic sets of a tubular chemical reactor by two-parameter continuation method

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Marek Berezowski
Keyword(s):  
Continuation Method ◽  
Extreme Points ◽  
Chemical Reactor ◽  
Stationary States ◽  
Parameter Continuation Method ◽  
It Systems ◽  
Parametric Continuation ◽  
Parameter Continuation ◽  
Two Parameter

AbstractThe work relates to development and presentation a two-parameter continuation method for determining catastrophic sets of stationary states of a tubular chemical reactor with mass recycle. The catastrophic set is a set of extreme points occurring in the bifurcation diagrams of the reactor. There are many large IT systems that use the parametric continuation method. The most popular is AUTO’97. However, its use is sometimes not convenient. The method developed in this work allows to eliminate the necessity to use huge IT systems from the calculations. Unlike these systems, it can be inserted into the program as a short subroutine. In addition, this method eliminates time-consuming iterations from the calculations.

scholarly journals Global characteristics of auroral Hall currents derived from the Swarm constellation: dependences on season and IMF orientation

2017 ◽  
Vol 35 (6) ◽  
pp. 1249-1268 ◽  
Author(s):  
Tao Huang ◽  
Hermann Lühr ◽  
Hui Wang
Keyword(s):  
Magnetic Field ◽  
Hall Current ◽  
Flow Direction ◽  
Magnetic Activity ◽  
The Novel ◽  
Polar Cap ◽  
Magnetic Field Data ◽  
Electrojet Current ◽  
Wind Input ◽  
The Imf

Abstract. On the basis of field-aligned currents (FACs) and Hall currents derived from high-resolution magnetic field data of the Swarm constellation, the average characteristics of these two current systems in the auroral regions are comprehensively investigated by statistical methods. This is the first study considering both current types determined simultaneously by the same spacecraft in both hemispheres. The FAC distribution, derived from the novel Swarm dual-spacecraft approach, reveals the well-known features of Region 1 (R1) and Region 2 (R2) FACs. At high latitudes, Region 0 (R0) FACs appear on the dayside. Their flow direction, up or down, depends on the orientation of the interplanetary magnetic field (IMF) By component. Of particular interest is the distribution of auroral Hall currents. The prominent auroral electrojets are found to be closely controlled by the solar wind input, but we find no dependence of their intensity on the IMF By orientation. The eastward electrojet is about 1.5 times stronger in local summer than in winter. Conversely, the westward electrojet shows less dependence on season. As to higher latitudes, part of the electrojet current is closed over the polar cap. Here the seasonal variation of conductivity mainly controls the current density. During local summer of the Northern Hemisphere, there is a clear channeling of return currents over the polar cap. For positive (negative) IMF By a dominant eastward (westward) Hall current circuit is formed from the afternoon (morning) electrojet towards the dawn side (dusk side) polar cap return current. The direction of polar cap Hall currents in the noon sector depends directly on the orientation of the IMF By. This is true for both signs of the IMF Bz component. Comparable Hall current distributions can be observed in the Southern Hemisphere but for opposite IMF By signs. Around the midnight sector the westward substorm electrojet is dominating. As expected, it is highly dependent on magnetic activity, but it shows only little response to season and IMF By polarity. An important finding is that all the IMF By dependences of FACs and Hall currents practically disappear in the dark winter hemisphere.

scholarly journals Effect of Aerosil and Oleic Acid on Sedimentation of Magnetorheological Fluid

2019 ◽  
Vol 8 (12S2) ◽  
pp. 79-83
Keyword(s):  
Magnetic Field ◽  
Oleic Acid ◽  
Magnetic Force ◽  
Particle Concentration ◽  
Nano Particles ◽  
Carrier Fluid ◽  
Flux Lines ◽  
Smart Fluids ◽  
Magnetic Flux Lines ◽  
Ferro Magnetic

Magnetorheological Fluids (MRFs) are considered as smart fluids because they control viscosity using external magnetic field. It contains ferro-magnetic powder which are aligned in magnetic flux lines. The magnetic force between particles are controlled by magnetic field intensity. This controllable viscosity makes them acceptable in many mechanical applications, but due to difference in density between suspended particles and carrier fluid sedimentation is bound to occur. This thus creates the need of some additives. In our study, silica Nano particles (commercially known as Aerosil 200) is used as stabilizer and Oleic Acid is used as surfactant and their effect on sedimentation is studied in this article. Some other synthesis parameters like particle concentration, stirring duration and material loading also cause some change in sedimentation rate.

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