Entropy Generation in Magnetized Bioconvective Nanofluid Flow Along a Vertical Cylinder with Gyrotactic Microorganisms

2020 ◽  
Vol 9 (4) ◽  
pp. 302-312
Author(s):  
K. Gangadhar ◽  
K. Bhanu Lakshmi ◽  
T. Kannan ◽  
Ali J. Chamkha
Keyword(s):  
Heat Transport ◽  
Entropy Generation ◽  
Vertical Cylinder ◽  
Mhd Flow ◽  
Wall Friction ◽  
Physical Parameters ◽  
Electrically Conductive ◽  
Gyrotactic Microorganisms ◽  
Nanopar Ticles ◽  
Shooting Algorithm

This paper presents the analysis of thermal optimization in magnetic materials based on the entropy generation in a mixed convective MHD flow of an electrically conductive nano liquid having motile microorganisms together with a vertical cylinder. By using the convection boundary condition, the process of heat transport is examined in detail. With coupled linear boundary conditions the related equations (continuity, momentuum and energy) are reduced to five ODE’s. The RKF-4,5 method by shooting algorithm was employed to examine variation of physical parameters under study. The resuts of vital physical parameters on the wall friction, Nusselt number, mass flux, wall of motile microorganism flux, along with velocity profiles, temperature, concentration of nanopar-ticles, and density of motile microbes, were studied in detail. It is detected that heat transport rate is 0.81% greater for cylindrical surface compared to flat plate surface.

Entropy Generation on Maxwell Fluid Flow Past an Inclined Stretching Plate with Slip and Convective Surface Conditon: Darcy-Forchheimer Model

2019 ◽  
Vol 26 ◽  
pp. 62-83
Author(s):  
Tunde Abdulkadir Yusuf ◽  
Jacob Abiodun Gbadeyan
Keyword(s):  
Porous Medium ◽  
Differential Equations ◽  
Entropy Generation ◽  
Mhd Flow ◽  
Maxwell Fluid ◽  
Entropy Generation Rate ◽  
Physical Parameters ◽  
Convective Boundary ◽  
Linear Ordinary Differential Equations ◽  
Non Linear

In this study the effect of entropy generation on two dimensional magnetohydrodynamic (MHD) flow of a Maxwell fluid over an inclined stretching sheet embedded in a non-Darcian porous medium with velocity slip and convective boundary condition is investigated. Darcy-Forchheimer based model was employed to describe the flow in the porous medium. The non-linear thermal radiation is also taken into account. Similarity transformation is used to convert the non-linear partial differential equations to a system of non-linear ordinary differential equations. The resulting transformed equations are then solved using the Homotopy analysis method (HAM). Influence of various physical parameters on the dimensionless velocity profile, temperature profile and entropy generation are shown graphically and discussed in detail while the effects of these physical parameters on velocity gradient and temperature gradient are aided with the help of Table. Furthermore, comparison of some limiting cases of this model was made with existing results. The results obtained are found to be in good agreement with previously published results. Moreover, increase in local inertial coefficient parameter is found to decrease the entropy generation rate.

scholarly journals Unsteady double-diffusive natural convective MHD flow along a vertical cylinder in the presence of chemical reaction, thermal radiation and Soret and Dufour effects

2011 ◽  
Vol 8 (1) ◽  
pp. 25-36 ◽  
Author(s):  
Ali J. Chamkha ◽  
M. F. Al-Amin ◽  
Abdelraheem Aly
Keyword(s):  
Thermal Radiation ◽  
Numerical Solution ◽  
Chemical Reaction ◽  
Fluid Velocity ◽  
Vertical Cylinder ◽  
Mhd Flow ◽  
Physical Parameters ◽  
Time Step ◽  
Soret And Dufour Effects ◽  
Double Diffusive

This work is focused on the numerical solution of unsteady double-diffusive free convective flow along a vertical isothermal cylinder in the presence of a transverse magnetic field, first-order homogeneous chemical reaction, thermal radiation and Soret and Dufour effects. The Rosseland approximation is used to describe the radiative heat flux in the energy equation. The governing equations are formulated and a numerical solution is obtained by using an explicit finite-difference scheme. The solutions at each time step have been found to reach the steady state solution properly. Representative results for the fluid velocity, temperature and solute concentration profiles as well as the local heat and mass transfer rates for various values of the physical parameters are displayed in both graphical and tabular forms. DOI: http://dx.doi.org/10.3329/jname.v8i1.7250

scholarly journals An Analytical Study of Internal Heating and Chemical Reaction Effects on MHD Flow of Nanofluid with Convective Conditions

Crystals ◽  
2021 ◽  
Vol 11 (12) ◽  
pp. 1523
Author(s):  
Haroon Ur Rasheed ◽  
Saeed Islam ◽  
Maha M. Helmi ◽  
Sam Alsallami ◽  
Zeeshan Khan ◽  
...  
Keyword(s):  
Mhd Flow ◽  
Skin Friction Coefficient ◽  
Thermal Dissipation ◽  
Stability And Convergence ◽  
Physical Parameters ◽  
Electrically Conductive ◽  
Physical Constraints ◽  
Coupled Equations ◽  
Mass And Heat Transfer ◽  
And Diffusion

This research investigates the influence of the combined effect of the chemically reactive and thermal radiation on electrically conductive stagnation point flow of nanofluid flow in the presence of a stationary magnetic field. Furthermore, the effect of Newtonian heating, thermal dissipation, and activation energy are considered. The boundary layer theory developed the constitutive partial differential momentum, energy, and diffusion balance equations. The fundamental flow model is changed to a system of coupled ordinary differential equations (ODEs) via proper transformations. These nonlinear-coupled equations are addressed analytically by implementing an efficient analytical method, in which a Mathematica 11.0 programming code is developed for numerical simulation. For optimizing system accuracy, stability and convergence analyses are carried out. The consequences of dimensionless parameters on flow fields are investigated to gain insight into the physical parameters. The result of these physical constraints on momentum and thermal boundary layers, along with concentration profiles, are discussed and demonstrated via plotted graphs. The computational outcomes of skin friction coefficient, mass, and heat transfer rate under the influence of appropriate parameters are demonstrated graphically.

scholarly journals Entropy Generation on MHD Flow and Heat Transfer of Non-Newtonian Fluid Flow Over a Non-Linear Radially Stretching Sheet

2018 ◽  
Vol 7 (4.10) ◽  
pp. 863
Author(s):  
S. Sreenadh ◽  
V. Ramesh Babu ◽  
G. Gopi Krishna ◽  
S. R.Mishra ◽  
A. N.S.Srinivas
Keyword(s):  
Newtonian Fluid ◽  
Entropy Generation ◽  
Stretching Sheet ◽  
Magnetic Parameter ◽  
Mhd Flow ◽  
Physical Parameters ◽  
Bejan Number ◽  
Entropy Generation Number ◽  
Non Linear ◽  
Flow Phenomena

An investigation is made for analyzing the behavior of MHD flow phenomena of a non-Newtonian fluid over a non-linear radially stretching sheet by using numerical technique. Magnetic field is considered in normal direction to the stretching sheet. With use of similarity transformations, the pdes are transformed into odes. The solution of theses odes are performed by using fourth order Runge - Kutta method along with shooting technique. The significance of different physical parameters characterizes the flow phenomena are analyzed with the use of graphs. The Jeffrey parameter  and magnetic parameter  has significant effect on velocity and temperature distribution over a non-linear stretching sheet. It is noticed that, the higher magnetic parameter results the increase in entropy generation number where the opposite nature is noticed in the case of Bejan number.  

scholarly journals Radiation and mass transfer effects on MHD free convection flow past a moving vertical cylinder in a porous medium

2011 ◽  
Vol 7 (1) ◽  
pp. 1-10 ◽  
Author(s):  
S. Suneetha ◽  
N. Bhaskar Reddy
Keyword(s):  
Mass Transfer ◽  
Porous Medium ◽  
Free Convection ◽  
Vertical Cylinder ◽  
Mhd Flow ◽  
Convection Flow ◽  
Physical Parameters ◽  
Radiation Parameter ◽  
Grashof Number ◽  
Flow Past

The interaction of free convection with thermal radiation of a viscous incompressible unsteady MHD flow past a moving vertical cylinder with heat and mass transfer in a porous medium is analyzed. The fluid is a gray, absorbing-emitting but non-scattering medium and the Rosseland approximation is used to describe the radiative heat flux in the energy equation. The governing equations are solved by using an implicit finite-difference scheme of Crank-Nicolson type. The effects of various physical parameters such as thermal Grashof number, mass Grashof number, magnetic parameter, radiation parameter and Schmidt number on the velocity, temperature,  concentration,  local as well as average skin-friction, Nusselt number and Sherwood number for various parameters are computed and represented graphically. It is found that at small values of radiation parameter ,  the velocity and temperature of the fluid increases sharply near the cylinder as the time  increases. Also, an increase in the magnetic field leads to a decrease in the velocity and a rise in the temperature.As the permeability parameter increases,it is seen that the flow accelerates. This model finds applications in geophysics and engineering.DOI: 10.3329/jname.v7i1.2901

Entropy generation minimization and nonlinear heat transport in MHD flow of a couple stress nanofluid through an inclined permeable channel with a porous medium, thermal radiation and slip

Heat Transfer ◽  
2020 ◽  
Vol 49 (8) ◽  
pp. 4878-4906
Author(s):  
Ignacio Gómez Rosales ◽  
Guillermo Ibáñez Duharte ◽  
Aracely López Grijalva ◽  
Orlando Lastres Danguillecourt ◽  
Juan Reyes‐Nava
Keyword(s):  
Porous Medium ◽  
Thermal Radiation ◽  
Heat Transport ◽  
Entropy Generation ◽  
Couple Stress ◽  
Mhd Flow ◽  
Permeable Channel ◽  
Entropy Generation Minimization

scholarly journals Fractional model for MHD flow of Casson fluid with cadmium telluride nanoparticles using the generalized Fourier’s law

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Nadeem Ahmad Sheikh ◽  
Dennis Ling Chuan Ching ◽  
Ilyas Khan ◽  
Hamzah Bin Sakidin ◽  
Muhammad Jamil ◽  
...  
Keyword(s):  
Energy Equation ◽  
Volume Fraction ◽  
Mhd Flow ◽  
Integral Transforms ◽  
Casson Fluid ◽  
Physical Parameters ◽  
Fourier’S Law ◽  
Fractional Model ◽  
Laplace Transformations ◽  
Fourier's Law

AbstractThe present work used fractional model of Casson fluid by utilizing a generalized Fourier’s Law to construct Caputo Fractional model. A porous medium containing nanofluid flowing in a channel is considered with free convection and electrical conduction. A novel transformation is applied for energy equation and then solved by using integral transforms, combinedly, the Fourier and Laplace transformations. The results are shown in form of Mittag-Leffler function. The influence of physical parameters have been presented in graphs and values in tables are discussed in this work. The results reveal that heat transfer increases with increasing values of the volume fraction of nanoparticles, while the velocity of the nanofluid decreases with the increasing values of volume fraction of these particles.

scholarly journals Entropy generation analysis for MHD flow of water past an accelerated plate

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Tarek N. Abdelhameed
Keyword(s):  
Magnetic Field ◽  
Entropy Generation ◽  
Transfer Problem ◽  
Finite Difference Methods ◽  
Mhd Flow ◽  
Bejan Number ◽  
Physical Conditions ◽  
Flow Parameters ◽  
The Laplace Transform ◽  
Constant Heating

AbstractThis article examines the entropy generation in the magnetohydrodynamics (MHD) flow of Newtonian fluid (water) under the effect of applied magnetic in the absence of an induced magnetic field. More precisely, the flow of water is considered past an accelerated plate such that the fluid is receiving constant heating from the initial plate. The fluid disturbance away from the plate is negligible, therefore, the domain of flow is considered as semi-infinite. The flow and heat transfer problem is considered in terms of differential equations with physical conditions and then the corresponding equations for entropy generation and Bejan number are developed. The problem is solved for exact solutions using the Laplace transform and finite difference methods. Results are displayed in graphs and tables and discussed for embedded flow parameters. Results showed that the magnetic field has a strong influence on water flow, entropy generation, and Bejan number.

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