Non-Linear Radiation, Chemical Reaction, and Soret/Dufour Effects on Magnetohydrodynamic Natural Convection About a Permeable Horizontal Circular Cylinder in Non-Darcy Porous Media With Heat Source/Sink

Author(s):  
Kuo-Ann Yih ◽  
Chuo-Jeng Huang

Abstract In this paper, the nonlinear radiation, chemical reaction, and Soret/Dufour effects on magnetohydrodynamic (MHD) natural convection about a permeable horizontal circular cylinder in non-Darcy porous media with heat source/sink are numerically analyzed. The surface of the horizontal circular cylinder is subjected to uniform wall temperature and uniform wall concentration (UWT/UWC). The governing equations are transformed into dimensionless, non-similar forms using suitable non-dimensional variables and then solved using Keller box method (KBM). Comparisons with previously published work are performed, and the results are found to be in an excellent agreement. Numerical data of the dimensionless temperature profile, the dimensionless concentration profile, the Nusselt number, and the Sherwood number are presented in graphic and tabular forms for the main parameters. The physical aspects of the problem are discussed in detail. The Nusselt number increases with increasing the Soret parameter, radiation parameter, and surface temperature ratio. Increasing the Dufour parameter, radiation parameter, surface temperature ratio, coefficient of space-dependent internal heat generation/absorption, and dimensionless chemical reaction parameter enhances the Sherwood number.

Author(s):  
Firas A Alwawi ◽  
Hamzeh T Alkasasbeh ◽  
AM Rashad ◽  
Ruwaidiah Idris

In this work, efforts were taken to investigate the free convection of ethylene glycol-based Casson nanofluid and it is affected by a magnetic field about a horizontal circular cylinder. Three different types of oxide nanoparticles were used along with constant wall temperature. Tiwari and Das's nanofluid model was used to investigate the MHD free convective flow of Casson nanofluid. The transformed governing PDEs were solved via the Keller box method. Numerical and graphical findings were acquired by using MATLAB software, in addition to studying and analyzing the influence of related parameters, on the velocity, temperature, local skin friction coefficient, and local Nusselt number. The results demonstrate that copper oxide ethylene glycol-based Casson nanofluid has the lowest local Nusselt number, velocity and, it has the highest temperature. Also, our results were in excellent agreement with prior published results.


Author(s):  
Abdelraheem Mahmoud Aly ◽  
Ehab Mahmoud

The numerical simulations of the uniform circular rotation of paddles on circular cylinder results natural convection flow of Al2O3-water in a cross-shaped porous cavity were performed by incompressible representation of smoothed particle hydrodynamics entitled ISPH method. The two vertical area of a cross-shaped cavity is saturated with homogeneous porous media and the whole horizontal area of a cross-shaped cavity is saturated with heterogeneous porous media. The inner paddles on the circular cylinder are rotating around their center by a uniform circular velocity. The whole embedded body of paddles on a circular cylinder has temperature Th. The wall-sides of a cross-shaped cavity are positioned at a temperature Tc. The current geometry can be applied in analysis and understanding the thermophysical behaviors of the electronic motors. The angular velocity is taken as ! = 7:15 and consequently the natural convection case is only considered due to the low speed of inner rotating shape. The performed simulations are represented in the graphical for the temperature distributions, velocity fields and tabular forms for average Nusselt number. The results revealed that an augmentation on paddle length rises the heat transfer and speed of fluid flow inside a cross shaped cavity. Also, an incrementation on Rayleigh number augments the heat transfer and speed of the fluid flow inside a cross-shaped cavity. The fluid flow is circulated only around the rotating inner shape when Darcy parameter decreases to Da = 105. Average Nusselt number Nu enhances by an increment on the paddle lengths and nanoparticles volume fraction


2019 ◽  
Vol 142 (1) ◽  
Author(s):  
R. A. Mohamed ◽  
S. Z. Rida ◽  
A. A. M. Arafa ◽  
M. S. Mubarak

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.


2016 ◽  
Vol 13 (1) ◽  
pp. 63-78 ◽  
Author(s):  
V. Ramachandra Prasad ◽  
R. Bhuvanavijaya ◽  
Mallikarjuna Bandaru

This article numerically studies for multi-physical transport of an optically-dense, free convective incompressible non-Newtonian second grade fluid past an isothermal, impermeable horizontal circular cylinder. The governing boundary layer equations for momentum and energy transport, which are parabolic in nature, have been reduced to non-similarity non-linear conservation equations using appropriate transformations and then solved numerically by employing with most validated, efficient implicit finite difference method with Keller box scheme. The numerical code is validated with previously existing results and found to be very good agreement. The results are reported graphically and in tabular form for various physical parameters; Deborah number, Prandtl number and thermal radiation on flow velocity and temperature profiles. Furthermore, the effects of these parameters on non dimensional wall shear stress (skin friction) and surface heat transfer rate (Nusselt number) are also investigated. Increasing the Deborah number reduces velocity profile, skin friction and Nusselt number where as it enhances the temperature profile. Increasing Prandtl number decelerates the flow velocity, temperature and skin friction but Nusselt number enhances considerably. Increase in radiation parameter retards the flow velocity, temperature profiles and skin friction. But Nusselt number enhances markedly with increase in radiation parameter. Applications of the model arise in polymer processing in chemical engineering, metallurgical material processing.


Author(s):  
Silpi HAZARIKA ◽  
Sahin AHMED

The significance of natural convective MHD flow of nano-fluid over a vertical cone with Brownian motion, viscous dissipation, heat generation, thermophoresis, and chemical reaction in porous surroundings is discussed in this article. The leading non-linear PDEs are transmuted by using applicable similarity transform and the reformed equations, along with the boundary conditions, are numerically solved by finite difference technique of bvp4c code via MATLAB code. The significance of the controlling parameters on velocity, temperature, and concentration are portrayed vividly. Furthermore, skin friction, Nusselt number, and Sherwood number are charted for diverse parameters. It is worth mentioning that impact of heat source ( ) on velocity and temperature is remarkable. Molar species concentration is accentuated with progressive values of Dufour number, while it is the opposite for velocity and temperature profiles. Moreover, thermal energy is absorbed due to the application of endothermic chemical reaction that cools the surroundings, which minimizes the diffusion rate of molecules and, therefore, less molar concentration is occurred. Conduction is the dominant mechanism for heat transport by applying Rayleigh number. The profiles of skin friction, Nusselt number, and Sherwood number are reduced with higher values of Rayleigh number. The present study has an appreciable impact on many engineering applications, such as magnetic storage media, the cooling systems of electronic devices, nuclear power plants, the chemical industry, and many more. HIGHLIGHTS Heat source/sink is a key parameter for rate of heat/mass transfer of nanofluid flow Exothermic chemical reaction plays a dynamic role to boost the nanofluid flow motion Higher Rayleigh number decays the flow rate as well as rate of heat and mass transfer The study incorporates the application of Brownian motion in nanofluid flow Current study has diverse applications in cooling process GRAPHICAL ABSTRACT


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