scholarly journals Impact of hall and ion slip in a thermally stratified nanofluid flow comprising Cu and Al2O3 nanoparticles with nonuniform source/sink

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Nosheen Gul ◽  
Muhammad Ramzan ◽  
Jae Dong Chung ◽  
Seifedine Kadry ◽  
Yu-Ming Chu
Keyword(s):  
Differential Equations ◽  
Skin Friction Coefficient ◽  
Solid Particles ◽  
Alumina Nanoparticles ◽  
Al2o3 Nanoparticles ◽  
Practical Applications ◽  
Slip Effects ◽  
Study Results ◽  
Ion Slip ◽  
Source Sink

Abstract Nanofluids play a pivotal role in the heat transport phenomenon and are essential in the cooling process of small gadgets like computer microchips and other related applications in microfluidics. Having such amazing applications of nanofluids, we intend to present a theoretical analysis of the thermally stratified 3D flow of nanofluid containing nano solid particles (Cu and Al2O3) over a nonlinear stretchable sheet with Ion and Hall slip effects. Moreover, the features of buoyance effect and non-uniform heat source/skin are also analyzed. For the study of numerically better results, Tawari and Das model is adopted here. For the conversion of the system of partial differential equations into ordinary differential equations, apposite transformations are engaged and are tackled by utilizing the bvp4c scheme of MATLAB software. The effects of dimensionless parameters on velocity and temperature profiles are depicted with the help of graphs. Additionally, the Skin friction coefficient and Nusselt number for the practical applications are examined in the tabular form. Verification of the current study by comparing it with an already published work in a special case is also a part of this study. Results show that the thermal performance of copper nanoparticles is more than alumina nanoparticles. An upsurge in the temperature of nanofluid is observed when the strength of the magnetic field is enhanced. However, the temperature of partially ionized nanofluid is significantly lowered because of the collisions of electrons and ions.

scholarly journals Boundary layer flow of magneto-micropolar nanofluid flow with Hall and ion-slip effects using variable thermal diffusivity

2017 ◽  
Vol 65 (3) ◽  
pp. 383-390 ◽  
Author(s):  
M. Bilal ◽  
S. Hussain ◽  
M. Sagheer
Keyword(s):  
Thermal Diffusivity ◽  
Differential Equations ◽  
Skin Friction Coefficient ◽  
Nanofluid Flow ◽  
Similarity Transformations ◽  
Slip Effects ◽  
Micropolar Nanofluid ◽  
Ion Slip ◽  
Layer Flow ◽  
Linear Differential

AbstractIn the present article, magneto-micropolar nanofluid flow with suction or injection in a porous medium over a stretching sheet for the heat and mass transfer is analyzed numerically. Both Hall and ion-slip effects are considered along with variable thermal diffusivity. The governing partial differential equations are transformed to ordinary differential equations using usual similarity transformations. These coupled non-linear differential equations are solved using the shooting method. Effects of prominent parameter on velocities, temperature and concentration are discussed graphically. Numerical values of skin-friction coefficient, local Nusselt number and local Sherwood number are also tabulated and discussed.

scholarly journals Hall and ion slip effects on Unsteady MHD Convective Rotating flow of Nanofluids—Application in Biomedical Engineering

2020 ◽  
Vol 28 (1) ◽  
Author(s):  
M. Veera Krishna ◽  
Ali J. Chamkha
Keyword(s):  
Volume Fraction ◽  
Skin Friction Coefficient ◽  
Rotating Flow ◽  
Convective Parameter ◽  
Slip Effects ◽  
Biological Labeling ◽  
Ion Slip ◽  
The Impact ◽  
Generation Parameter ◽  
Perturbation Approximation

AbstractThere is an intense worldwide activity in the development of instrumentation for medical diagnosis and bioscreening based on biological labeling and detection of nanoparticles. Based on this profound observation, Hall and ion slip effects on magnetohydrodynamic (MHD) free convective rotating flow of nanofluids in a porous medium past a moving vertical semi-infinite flat plate are investigated. The equations for governing flow are solved analytically by perturbation approximation. The effects of various parameters on the flow are discussed through graphs and tables. The velocity increases with Hall and ion slip parameters. An increase in the convective parameter led to amplify the thermal boundary layer thickness, but when the heat generation parameter is taken into consideration, an opposite effect occurs. The skin friction coefficient increases with an increase in nanoparticle volume fraction and it reduces with increase in Hall and ion slip parameters. Outcomes disclose that the impact of thermal convection of nanoparticles has increased the temperature distribution, which helps in destroying the cancer cells during the drug delivery process.

scholarly journals Analytical solution of MHD free convective flow of couple stress fluid in an annulus with Hall and ion-slip effects

2011 ◽  
Vol 16 (4) ◽  
pp. 477-487 ◽  
Author(s):  
Darbhashayanam Srinivasacharya ◽  
Kolla Kaladhar
Keyword(s):  
Differential Equations ◽  
Couple Stress ◽  
Circular Cylinders ◽  
Couple Stress Fluid ◽  
Electrically Conducting ◽  
Linear Partial Differential Equations ◽  
Similarity Transformations ◽  
Slip Effects ◽  
Homotopy Analysis ◽  
Ion Slip

This paper presents the Hall and Ion-slip effects on electrically conducting couple stress fluid flow between two circular cylinders in the presence of a temperature dependent heat source. The governing non-linear partial differential equations are transformed into a system of ordinary differential equations using similarity transformations and then solved using homotopy analysis method (HAM). The effects of the magnetic parameter, Hall parameter, Ion-slip parameter and couple stress fluid parameter on velocity and  temperature are discussed and shown graphically.

Heat and Mass Transfer in an Unsteady Magnetohydrodynamics Al2O3–Water Nanofluid Squeezed Between Two Parallel Radiating Plates Embedded in Porous Media With Chemical Reaction

2019 ◽  
Vol 142 (1) ◽  
Author(s):  
R. A. Mohamed ◽  
S. Z. Rida ◽  
A. A. M. Arafa ◽  
M. S. Mubarak
Keyword(s):  
Mass Transfer ◽  
Porous Media ◽  
Differential Equations ◽  
Heat Source ◽  
Heat And Mass Transfer ◽  
Chemical Reaction ◽  
Skin Friction Coefficient ◽  
Parallel Plates ◽  
Squeeze Number ◽  
Source Sink

Abstract In this paper, the influence of chemical reaction and heat source/sink on an unsteady magnetohydrodynamics (MHD) nanofluid flow that squeezed between two radiating parallel plates embedded in porous media is investigated analytically. We consider water as base fluid and aluminum oxide (Al2O3) as its nanoparticle. We reduced the basic partial differential equations to ordinary differential equations which are solved by the homotopy analysis method (HAM). The effects of the squeeze number, permeability parameter of porous media, Hartmann number, thermal radiation parameter, Prandtl number, heat source/sink parameter, Eckert number, Schmidt number, and scaled parameter of chemical reaction on the flow, heat, and mass transfer are considered and assigned to graphs. The physical quantities such as Sherwood number, Nusselt number, and skin friction coefficient are computed for Al2O3–water, TiO2–water, Ag–water, and Cu–water nanofluids and assigned through graphs.

scholarly journals Multiple Slip Effects on MHD Unsteady Flow Heat and Mass Transfer Impinging on Permeable Stretching Sheet with Radiation

2019 ◽  
Vol 2019 ◽  
pp. 1-11 ◽  
Author(s):  
Fazle Mabood ◽  
Stanford Shateyi
Keyword(s):  
Mass Transfer ◽  
Differential Equations ◽  
Unsteady Flow ◽  
Heat And Mass Transfer ◽  
Stretching Sheet ◽  
Soret Effect ◽  
Skin Friction Coefficient ◽  
Multiple Slip ◽  
Slip Effects ◽  
Flow Heat

This paper reports multiple slip effects on MHD unsteady flow heat and mass transfer over a stretching sheet with Soret effect; suction/injection and thermal radiation are numerically analyzed. We consider a time-dependent applied magnetic field and stretching sheet which moves with nonuniform velocity. Suitable similarity variables are used to transform governing partial differential equations into a system of coupled nonlinear ordinary differential equations. The transformed equations are then solved numerically by applying an implicit finite difference method with quasi-linearization technique. The influences of the various parameters on the velocity temperature and concentration profiles as well as on the skin friction coefficient and Sherwood and Nusselt numbers are discussed by the aid of graphs and tables.

MHD Flow of a Jeffrey Fluid with Newtonian Heating

2015 ◽  
Vol 31 (3) ◽  
pp. 319-329 ◽  
Author(s):  
M. Farooq ◽  
N. Gull ◽  
A. Alsaedi ◽  
T. Hayat
Keyword(s):  
Differential Equations ◽  
Mhd Flow ◽  
Convergent Series ◽  
Skin Friction Coefficient ◽  
Jeffrey Fluid ◽  
Physical Parameters ◽  
Temperature Profiles ◽  
Linear Boundary ◽  
Newtonian Heating ◽  
Source Sink

ABSTRACTThe combined effects of Joule and Newtonian heating in magnetohydrodynamic (MHD) flow of Jeffrey fluid over a stretching cylinder with heat source/sink are addressed. Suitable transformations are considered to reduce the non-linear boundary layer partial differential equations into the ordinary differential equations. Convergent series solutions of the resulting dimensionless problems are obtained. Effects of emerging physical parameters on the velocity and temperature profiles are examined. Comparison between viscous and Jeffrey fluids for different cases of flat plate and cylinder is made. Numerical values of skin friction coefficient and local Nusselt number are tabulated and analyzed for different values of emerging parameters.

scholarly journals Effects of heat source/sink on magnetohydrodynamic flow and heat transfer of a non-Newtonian power-law fluid on a stretching surface

2016 ◽  
Vol 20 (6) ◽  
pp. 1801-1811 ◽  
Author(s):  
Kishan Naikoti ◽  
Kavitha Pagdipelli
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Heat Transfer Coefficient ◽  
Differential Equations ◽  
Power Law ◽  
Skin Friction Coefficient ◽  
Temperature Profiles ◽  
Slip Parameter ◽  
Source Sink ◽  
Power Law Index

Non-Newtonian boundary layer flow and heat transfer characteristics over a stretching surface with thermal radiation and slip condition at the surface is analyzed. The flow is subject to a uniform transverse magnetic field. The suitable local similarity transformations are used to transform the non-linear partial differential equations into system of ordinary differential equations. The non-linear ordinary differential equations are linearized by using Quasi-linearization technique. The implicit finite difference scheme has been adopted to solve the obtained coupled ordinary differential equations. The important finding in this communication is the combined effects of Magnetic field parameter M, power law index n, slip parameter l, radiation parameter R, surface temperature parameter g , heat source/sink parameter S, local Eckert number Ec, temperature difference parameter r, generalized local Prandtl number Pr on velocity and temperature profiles and also the skin-friction coefficient -f''(0)and heat transfer coefficient -?'(0) results are discussed. The results pertaining to the present study indicate that as the increase of magnetic field parameter, slip parameter decreases the velocity profiles, where as the temperature profiles increases for both Newtonian and non-Newtonian fluids. The power law index n and heat source/sink parameter decreases the dimensionless velocity and temperature profiles. The effect of radiation parameter, Eckert number leads to increase the dimensionless temperature. It is found that increasing the slip parameter has the effect of decreasing the skin-friction coefficient-f''(0)and heat transfer coefficient-?'(0).With the increase of power law index n is to reduce the skin-friction coefficient and increase the heat transfer coefficient.

scholarly journals Finite Element Simulation of Multiple Slip Effects on MHD Unsteady Maxwell Nanofluid Flow over a Permeable Stretching Sheet with Radiation and Thermo-Diffusion in the Presence of Chemical Reaction

Processes ◽  
2019 ◽  
Vol 7 (9) ◽  
pp. 628 ◽  
Author(s):  
Bagh Ali ◽  
Yufeng Nie ◽  
Shahid Ali Khan ◽  
Muhammad Tariq Sadiq ◽  
Momina Tariq
Keyword(s):  
Finite Element ◽  
Friction Coefficient ◽  
Differential Equations ◽  
Numerical Solution ◽  
Skin Friction ◽  
Stretching Sheet ◽  
Skin Friction Coefficient ◽  
Nanofluid Flow ◽  
Maxwell Nanofluid ◽  
Slip Effects

The aim of the present study is to investigate the multiple slip effects on magnetohydrodynamic unsteady Maxwell nanofluid flow over a permeable stretching sheet with thermal radiation and thermo-diffusion in the presence of chemical reaction. The governing nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations with the aid of appropriate similarity variables, and the transformed equations are then solved numerically by using a variational finite element method. The effects of various physical parameters on the velocity, temperature, solutal concentration, and nanoparticle concentration profiles as well as on the skin friction coefficient, rate of heat transfer, and Sherwood number for solutal concentration are discussed by the aid of graphs and tables. An exact solution of flow velocity, skin friction coefficient, and Nusselt number is compared with the numerical solution obtained by FEM and also with numerical results available in the literature. A good agreement between the exact and numerical solution is observed. Also, to justify the convergence of the finite element numerical solution, the calculations are carried out by reducing the mesh size. The present investigation is relevant to high-temperature nanomaterial processing technology.

Effect of Variable Heat Source/Sink on Chemically Reacting 3D Slip Flow Caused by a Slendering Stretching Sheet

2016 ◽  
Vol 25 ◽  
pp. 58-69 ◽  
Author(s):  
Macharla Jayachandra Babu ◽  
Naramgari Sandeep
Keyword(s):  
Heat Source ◽  
Stretching Sheet ◽  
Slip Flow ◽  
Three Dimensional ◽  
Skin Friction Coefficient ◽  
Temperature Dependent ◽  
Transfer Rates ◽  
Slip Effects ◽  
Chemically Reacting ◽  
Source Sink

Three-dimensional magnetohydromagnetic slip flow of chemically reacting fluid over a variable thickness stretching sheet with space and temperature dependent heat source/sink was analysed numerically. Runge-Kutta and Newton’s methods are employed for solving the reduced ordinary differential equations with the help of similarity variables. Plots are demonstrated and examined for several parameters of concern. Also the effect of the same parameters on skin friction coefficient, heat and mass transfer rates are presented in tabular form. We found a good agreement of the present results by comparing with the published results. It is observed that space and temperature dependent heat source/sink parameters acts like controlling parameters of heat transfer. Slip effects reduce the development of concentration and thermal boundary layers.

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