scholarly journals Hall current and joule heating effects on free convection flow of a nanofluid over a vertical cone in presence of thermal radiation

2017 ◽  
Vol 21 (6 Part A) ◽  
pp. 2609-2620 ◽  
Author(s):  
Wael Abbas ◽  
Emad Sayed
Keyword(s):  
Thermal Radiation ◽  
Joule Heating ◽  
Volume Fraction ◽  
Hall Current ◽  
Flow Behavior ◽  
Nanoparticle Volume Fraction ◽  
Vertical Cone ◽  
Local Skin ◽  
Special Cases ◽  
Non Linear

The effects of Hall current and Joule heating on flow and heat transfer of a nanofluid along a vertical cone in the presence of thermal radiation is considered. The flow is subjected to a uniform strong transverse magnetic field normal to the cone surface. Similarity transformations are used to convert the non-linear boundary- layer equations for momentum and energy equations to a system of non-linear ordinary differential equations which are then solved numerically with appropriate boundary conditions. The solutions are presented in terms of local skin friction, local Nusselt number, velocity, and temperature profiles for values of magnetic parameter, Hall parameter, Eckert number, radiation parameter, and nanoparticle volume fraction. Comparison of the numerical results made with previously published results under the special cases, the results are found to be in an excellent agreement. It is also found that, nanoparticle volume fraction parameter and types of nanofluid play an important role to significantly determine the flow behavior.

Hydromagnetic-oscillatory flow of a nanofluid with Hall effect and thermal radiation past vertical plate in a rotating porous medium

2018 ◽  
Vol 14 (2) ◽  
pp. 360-386 ◽  
Author(s):  
Sreedevi Gandluru ◽  
Prasada Rao D.R.V. ◽  
O.D. Makinde
Keyword(s):  
Porous Medium ◽  
Thermal Radiation ◽  
Hall Effect ◽  
Oscillatory Flow ◽  
Vertical Plate ◽  
Hall Current ◽  
Local Skin ◽  
Content Type ◽  
Special Cases ◽  
The Impact

Purpose The purpose of this paper is to investigate the impact of thermal radiation interaction with Hall current, buoyancy force, and oscillatory surface temperature on hydromagnetic-mixed convective heat exchange stream of an electrically conducting nanofluid past a moving permeable plate in a porous medium within a rotating system. Design/methodology/approach Analytical closed-form solutions are obtained for both the momentum and the energy equations using the perturbation method. Findings The effects of various important parameters on velocity and temperature fields within the boundary layer are discussed for three different water-based nanofluids containing copper (Cu), aluminum oxide (Al2O3), and titanium dioxide (TiO2) as nanoparticles. Local skin friction and Nusselt number are illustrated graphically and discussed quantitatively. The results show that Hall current significantly affects the flow system. Results for some special cases of the present analysis are in good agreement with the existing literature. Originality/value The problem is relatively original to study the hydromagnetic-oscillatory flow of a nanofluid with Hall effect and thermal radiation past a vertical plate in a rotating porous medium.

scholarly journals Computational analysis of nano-fluid due to a non-linear variable thicked stretching sheet subjected to Joule heating and thermal radiation

2020 ◽  
Vol 9 (5) ◽  
pp. 11035-11044 ◽  
Author(s):  
Zahra Abdelmalek ◽  
Imad Khan ◽  
M. Waleed Ahmed Khan ◽  
Khalil Ur Rehman ◽  
El-Sayed M. Sherif
Keyword(s):  
Thermal Radiation ◽  
Joule Heating ◽  
Computational Analysis ◽  
Stretching Sheet ◽  
Nano Fluid ◽  
Non Linear

scholarly journals The Effects of Thermal Radiation, Hall Currents, Soret, and Dufour on MHD Flow by Mixed Convection over a Vertical Surface in Porous Media

2010 ◽  
Vol 2010 ◽  
pp. 1-20 ◽  
Author(s):  
Stanford Shateyi ◽  
Sandile Sydney Motsa ◽  
Precious Sibanda
Keyword(s):  
Mixed Convection ◽  
Thermal Radiation ◽  
Hall Current ◽  
Mhd Flow ◽  
Vertical Surface ◽  
Similarity Solutions ◽  
Special Cases ◽  
Permeability Parameter ◽  
Magnetic Strength ◽  
Good Agreement

The study sought to investigate the influence of a magnetic field on heat and mass transfer by mixed convection from vertical surfaces in the presence of Hall, radiation, Soret (thermal-diffusion), and Dufour (diffusion-thermo) effects. The similarity solutions were obtained using suitable transformations. The similarity ordinary differential equations were then solved by MATLAB routinebvp4c. The numerical results for some special cases were compared with the exact solution and those obtained by Elgazery (2009) and were found to be in good agreement. A parametric study illustrating the influence of the magnetic strength, Hall current, Dufour, and Soret, Eckert number, thermal radiation, and permeability parameter on the velocity, temperature, and concentration was investigated.

A Study on Hydromagnetic Pulsating Flow of a Nanofluid in a Porous Channel With Thermal Radiation

2016 ◽  
Vol 33 (2) ◽  
pp. 213-224 ◽  
Author(s):  
A. Vijayalakshmi ◽  
S. Srinivas
Keyword(s):  
Heat Transfer ◽  
Titanium Dioxide ◽  
Thermal Radiation ◽  
Heat Transfer Rate ◽  
Transfer Rate ◽  
Volume Fraction ◽  
Porous Channel ◽  
Nanoparticle Volume Fraction ◽  
Governing Equations ◽  
Nanofluid Flow

AbstractThe present study investigates the hydromagnetic pulsating nanofluid flow in a porous channel with thermal radiation. In this work, we considered water as the base fluid and silver (Ag), copper (Cu), alumina (Al2O3) and titanium dioxide (TiO2) as nanoparticles. The Maxwell-Garnetts and Brinkman models are used to evaluate the effective thermal conductivity and viscosity of the nanofluid. The governing equations are solved analytically and the influence of various parameters on velocity, temperature and heat transfer rate has been discussed through graphical results. From the results, it is found that the rate of heat transfer enhances with an increase of nanoparticle volume fraction. Further, the heat transfer rate is higher for silver nanoparticles as compared with copper, alumina and titanium dioxide.

scholarly journals The effect of thermal radiation, heat generation and suction/injection on the mechanical properties of unsteady continuous moving cylinder in a nanofluid

2015 ◽  
Vol 19 (5) ◽  
pp. 1591-1601 ◽  
Author(s):  
El-Sayed El-Bashbeshy ◽  
Tarek Emam ◽  
Mohamed Abdel-Wahed
Keyword(s):  
Mechanical Properties ◽  
Boundary Layer ◽  
Thermal Radiation ◽  
Heat Generation ◽  
Volume Fraction ◽  
Nanoparticle Volume Fraction ◽  
Radiation Heat ◽  
Cooling Medium ◽  
Moving Cylinder ◽  
Radiation Heat Generation

The effect of thermal radiation, heat generation, suction/injection, nanoparticles type, and nanoparticle volume fraction on heat transfer characteristics and the mechanical properties of unsteady moving cylinder embedded into cooling medium consist of water with Cu; Ag or Al2O3 particles are studied. The governing time dependent boundary layer equations are transformed to ordinary differential equations containing unsteadiness parameter, thermal radiation parameter, heat source parameter, suction/injection parameter, curvature parameter, nanoparticle volume fraction and Prandlt number. These equations are solved numerically. The velocity and Temperature profiles within the boundary layer are plotted and discussed in details for various values of the different parameters. Also the effects of the cooling medium and the external thermal forces on the mechanical properties of the cylinder are investigated.

Examination of carbon-water nanofluid flow with thermal radiation under the effect of Marangoni convection

2017 ◽  
Vol 34 (7) ◽  
pp. 2330-2343 ◽  
Author(s):  
Syed Tauseef Mohyud-Din ◽  
Muhammad Usman ◽  
Kamran Afaq ◽  
Muhammad Hamid ◽  
Wei Wang
Keyword(s):  
Boundary Layer ◽  
Thermal Radiation ◽  
Least Squares ◽  
Marangoni Convection ◽  
Volume Fraction ◽  
Least Squares Method ◽  
Detailed Comparison ◽  
Convection Boundary Layer ◽  
Nanoparticle Volume Fraction ◽  
Content Type

Purpose The purpose of this study is to analyze the effects of carbon nanotubes (CNTs) in the Marangoni convection boundary layer viscous fluid flow. The analysis and formulation for both types of CNTs, namely, single-walled (SWCNTs) and multi-walled (MWCNTs), are described. The influence of thermal radiation effect assumed in the form of energy expression. Design/methodology/approach Appropriate transformations reduced the partial differential systems to a set of nonlinear ordinary differential equations (ODEs). The obtained nonlinear ODE set is solved via the least squares method. A detailed comparison between outcomes obtained by the least squares method, RK-4 and already published work is available. Findings Nusselt number was analyzed and found to be more effective for nanoparticle volume fraction and larger radiation parameters. Additionally, the error and convergence analysis for the least squares method was presented to show the efficiency of the said algorithm. Originality/value The results reveal that velocity is a decreasing function of suction for both CNTs. While enhancing the nanoparticle volume fraction, an increase for both thermal boundary layer thickness and temperature was attained. The radiation parameter has an increasing function as temperature. Velocity behavior is the same for nanoparticle volume fraction and suction. It was observed that velocity is less in SWCNTs as compared to MWCNTs.

Influence of non-linear radiation, Joule heating and viscous dissipation on the boundary layer flow of MHD nanofluid flow over a thin moving needle

2019 ◽  
Vol 16 (1) ◽  
pp. 208-224 ◽  
Author(s):  
Himanshu Upreti ◽  
Manoj Kumar
Keyword(s):  
Boundary Layer ◽  
Thermal Radiation ◽  
Viscous Dissipation ◽  
Joule Heating ◽  
Boundary Layer Flow ◽  
Numerical Study ◽  
Nanofluid Flow ◽  
Content Type ◽  
Non Linear ◽  
Layer Flow

Purpose The purpose of this paper is to examine the effect of non-linear thermal radiation, Joule heating and viscous dissipation on the mixed convection boundary layer flow of MHD nanofluid flow over a thin moving needle. Design/methodology/approach The equations directing the flow are reduced into ODEs by implementing similarity transformation. The Runge–Kutta–Fehlberg method with a shooting technique was implemented. Findings Numerical outcomes for the coefficient of skin friction and the rate of heat transfer are tabulated and discussed. Also, the boundary layer thicknesses for flow and temperature fields are addressed with the aid of graphs. Originality/value Till now, no numerical study investigated the combined influence of Joule heating, non-linear thermal radiation and viscous dissipation on the mixed convective MHD flow of silver-water nanofluid flow past a thin moving needle. The numerical results for existing work are new and their novelty verified by comparing them with the work published earlier.

scholarly journals MHD 3-dimensional nanofluid flow induced by a power-law stretching sheet with thermal radiation, heat and mass fluxes

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Sudipta Ghosh ◽  
Swati Mukhopadhyay ◽  
Kuppalapalle Vajravelu
Keyword(s):  
Differential Equations ◽  
Thermal Radiation ◽  
Stretching Sheet ◽  
Numerical Solutions ◽  
Two Phase ◽  
Mass Fluxes ◽  
First Case ◽  
Special Cases ◽  
Non Linear ◽  
Mass Transfers

AbstractIn this article, the three-dimensional Magnetohydrodynamics flow of a nanofluid over a horizontal non-linearly stretching sheet in bilateral directions under boundary layer approximation is addressed. A two-phase model has been used for the nanofluid. The influences of thermophoresis, Brownian motion and thermal radiation on heat and mass transfers are considered. Two different cases for the heat and mass transfers are studied. In the first case, uniform wall temperature and zero nanoparticles flux due to thermophoresis are considered. In the second case, prescribed heat and mass fluxes at the boundary are considered. By using the appropriate transformations, a system of non-linear partial differential equations along with the boundary conditions is transformed into coupled non-linear ordinary differential equations. Numerical solutions of the self-similar equations are obtained using a Runge–Kutta method with a shooting technique. Our results for special cases are compared with the available results in the literature, and the results are found to be in good agreement. It is observed that the pertaining parameters have significant effects on the characteristics of flow, heat and mass transfer. The results are presented and discussed in detail through illustrations.

scholarly journals Thermally Fully Developed Electroosmotic Flow of Power-Law Nanofluid in a Rectangular Microchannel

Micromachines ◽  
2019 ◽  
Vol 10 (6) ◽  
pp. 363 ◽  
Author(s):  
Shuyan Deng
Keyword(s):  
Nusselt Number ◽  
Thermal Behavior ◽  
Power Law ◽  
Electroosmotic Flow ◽  
Volume Fraction ◽  
Flow Behavior ◽  
Nanoparticle Volume Fraction ◽  
Nanofluid Flow ◽  
Rectangular Microchannel ◽  
Power Law Nanofluid

The hydrodynamic and thermal behavior of the electroosmotic flow of power-law nanofluid is studied. A modified Cauchy momentum equation governing the hydrodynamic behavior of power-law nanofluid flow in a rectangular microchannel is firstly developed. To explore the thermal behavior of power-law nanofluid flow, the energy equation is developed, which is coupled to the velocity field. A numerical algorithm based on the Crank–Nicolson method and compact difference schemes is proposed, whereby the velocity, temperature, and Nusselt number are computed for different parameters. A larger nanoparticle volume fraction significantly reduces the velocity and enhances the temperature regardless of the base fluid rheology. The Nusselt number increases with the flow behavior index and with electrokinetic width when considering the surface heating effect, which decreases with the Joule heating parameter. The heat transfer rate of electroosmotic flow is enhanced for shear thickening nanofluids or at a greater nanoparticle volume fraction.

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