scholarly journals Parametric Analysis of Entropy Generation in Magneto-Hemodynamic Flow in a Semi-Porous Channel with OHAM and DTM

2014 ◽  
Vol 11 (1-2) ◽  
pp. 47-60 ◽  
Author(s):  
M. M. Rashidi ◽  
A. Basiri Parsa ◽  
O. Anwar Bég ◽  
L. Shamekhi ◽  
S. M. Sadri ◽  
...  
Keyword(s):  
Reynolds Number ◽  
Entropy Generation ◽  
Hartmann Number ◽  
Fluid Velocity ◽  
Velocity Profiles ◽  
Porous Channel ◽  
Moving Plate ◽  
Optimal Homotopy Analysis Method ◽  
Transform Method ◽  
Mass Transfer Parameter

The magneto-hemodynamic laminar viscous flow of a conducting physiological fluid in a semi-porous channel under a transverse magnetic field has been analyzed by the optimal Homotopy Analysis Method (OHAM) and Differential Transform Method (DTM) under physically realistic boundary conditions first. Then as the main purpose of this study the important designing subject, entropy generation of this system, has been analyzed. The influence of Hartmann number (Ha) and transpiration Reynolds number (mass transfer parameter, Re) on the fluid velocity profiles in the channel are studied in detail first. After finding the fluid velocity profiles, graphical results are presented to investigate effects of the Reynolds number, Hartmann number,x-velocity of the moving plate, suspension height and dimensionless horizontal coordinate on the entropy generation.

A NOVEL ANALYTICAL METHOD TO INVESTIGATE EFFECT OF RADIATION ON FLOW OF A MAGNETO-MICROPOLAR FLUID PAST A CONTINUOUSLY MOVING PLATE WITH SUCTION AND BLOWING

2010 ◽  
Vol 01 (02) ◽  
pp. 219-238
Author(s):  
MOHAMMAD MEHDI RASHIDI ◽  
ESMAEEL ERFANI
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Analytical Method ◽  
Velocity Profiles ◽  
Nonlinear Ordinary Differential Equations ◽  
Moving Plate ◽  
Transform Method ◽  
Surface Mass ◽  
Mass Transfer Parameter ◽  
Suction And Blowing

In this article, Differential Transform Method (DTM) and Padé approximants (DTM-Padé), are considered for finding analytical solutions of a magneto-micropolar flow past a continuously moving plate with suction and blowing and radiation effect. This technique is extended to give solutions for system of nonlinear ordinary differential equations with boundary conditions at infinity. The analytic solutions of the system of nonlinear ordinary differential equations are constructed in the ratio of two polynomials. Graphical results are presented to investigate influence of the radiation parameter, magnetic field parameter, Prandtl number, coupling constant parameter and the surface mass transfer parameter on velocity profiles, angular velocity profiles and temperature profiles. In addition, the numerical method is used to investigate the validity of this analytical method, an excellent agreement is observed between the solutions obtained from the DTM-Padé and numerical results. The results reveal that the DTM-Padé is very effective and convenient for solving engineering problems especially for boundary-layer problems.

Second Law Analysis of Magneto-Micropolar Fluid Flow Between Parallel Porous Plates

2018 ◽  
Vol 10 (4) ◽  
Author(s):  
Abbas Kosarineia ◽  
Sajad Sharhani
Keyword(s):  
Magnetic Field ◽  
Reynolds Number ◽  
Fluid Flow ◽  
Entropy Generation ◽  
Hartmann Number ◽  
Second Law ◽  
Brinkman Number ◽  
Viscosity Parameter ◽  
Micropolar Fluid Flow ◽  
Second Law Analysis

In this study, the influence of the applied magnetic field is investigated for magneto-micropolar fluid flow through an inclined channel of parallel porous plates with constant pressure gradient. The lower plate is maintained at constant temperature and the upper plate at a constant heat flux. The governing motion and energy equations are coupled while the effect of the applied magnetic field is taken into account, adding complexity to the already highly correlated set of differential equations. The governing equations are solved numerically by explicit Runge–Kutta. The velocity, microrotation, and temperature results are used to evaluate second law analysis. The effects of characteristic and dominate parameters such as Brinkman number, Hartmann Number, Reynolds number, and micropolar viscosity parameter are discussed on velocity, temperature, microrotation, entropy generation, and Bejan number in different diagrams. The results depicted that the entropy generation number rises with the increase in Brinkman number and decays with the increase in Hartmann Number, Reynolds number, and micropolar viscosity parameter. The application of the magnetic field induces resistive force acting in the opposite direction of the flow, thus causing its deceleration. Moreover, the presence of magnetic field tends to increase the contribution of fluid friction entropy generation to the overall entropy generation; in other words, the irreversibilities caused by heat transfer reduced. Therefore, to minimize entropy, Brinkman number and Hartmann Number need to be controlled.

scholarly journals Entropy Generation in Couette Flow Through a Deformable Porous Channel

2019 ◽  
Vol 4 (2) ◽  
pp. 575-590 ◽  
Author(s):  
G. Gopi Krishna ◽  
S. Sreenadh ◽  
A.N.S. Srinivas
Keyword(s):  
Porous Medium ◽  
Temperature Distribution ◽  
Couette Flow ◽  
Entropy Generation ◽  
Volume Fraction ◽  
Fluid Velocity ◽  
Porous Channel ◽  
Injection Velocity ◽  
Bejan Number ◽  
Parallel Plates

AbstractThe present study examines the entropy generation on Couette flow of a viscous fluid in parallel plates filled with deformable porous medium. The fluid is injected into the porous channel perpendicular to the lower wall with a constant velocity and is sucked out of the upper wall with same velocity .The coupled phenomenon of the fluid flow and solid deformation in the porous medium is taken in to consideration. The exact expressions for the velocity of fluid, solid displacement and temperature distribution are found analytically. The effect of pertinent parameters on the fluid velocity, solid displacement and temperature profiles are discussed in detail. In the deformable porous layer, it is noticed that the velocity of fluid, solid displacement and temperature distribution are decreases with increasing the suction/injection velocity parameter. The results obtained for the present flow characteristic reveal several interesting behaviors that warrant further study on the deformable porous media. Furthermore, the significance of drag and the volume fraction on entropy generation number and Bejan number are discussed with the help of graphs.

The Second Law Analysis of Thermodynamics for the Plate–Fin Surface Performance in a Cross Flow Heat Exchanger

2018 ◽  
Vol 141 (1) ◽  
Author(s):  
Mansour Nasiri Khalaji ◽  
Isak Kotcioglu ◽  
Sinan Caliskan ◽  
Ahmet Cansiz
Keyword(s):  
Heat Transfer ◽  
Reynolds Number ◽  
Heat Exchanger ◽  
Entropy Generation ◽  
Fluid Velocity ◽  
Cross Flow ◽  
Design Parameters ◽  
Second Law ◽  
Transfer Unit ◽  
Pin Fins

In this paper, a particular heat exchanger is designed and analyzed by using second law of thermodynamics. The heat exchanger operates with the cross flow forced convection having cylindrical, square, and hexagonal pin fins (tubular router) placed in the rectangular duct. The pin fins are installed periodically at the top and bottom plates of the duct perpendicular to the flow direction, structured in-line, and staggered sheet layouts. The entropy generation in the flow domain of the channels is calculated to demonstrate the rate of irreversibilities. To obtain the efficiencies, irreversibility, thermal performance factor, and entropy generation number (EGN), the heat exchanger is operated at different temperatures and flow rates by using hot and cold fluids. Optimization of the design parameters and winglet geometry associated with the performance are determined by entropy generation minimization. The variation of the EGN with Reynolds number for various tubular routers is presented. The Reynolds number is determined according to the experimental plan and the performance is analyzed with the method of effectiveness—number of transfer unit (NTU). Based on particular designs, it was determined that the increment in fluid velocity enhances the heat transfer rate, which in turn decreases the heat transfer irreversibility.

scholarly journals Entropy analysis in ciliated inclined channel filled with hydromagnetic Williamson fluid flow induced by metachronal waves

2020 ◽  
pp. 183-183
Author(s):  
Najma Saleem
Keyword(s):  
Magnetic Field ◽  
Entropy Generation ◽  
Hartmann Number ◽  
Fluid Velocity ◽  
Physical Parameters ◽  
Bejan Number ◽  
Entropy Analysis ◽  
Entire Study ◽  
Williamson Fluid ◽  
Metachronal Waves

This study reveals the entropy analysis of hydromagnetic pumping flow of Williamson fluid through a two-dimensional symmetric channel carrying cilia. Propulsive metachronal waves are mobilized by whipping and beating of uniformly distributed cilia which follow elliptic trajectory movements in the parallel direction of flow. The flow is resisted by a uniform transverse magnetic field. The entire study is carried out in wave frame of reference. After implying lubrication approximations, the governing equations of the present flow problem are solved by perturbation method. Effects of physical parameters of interest on various flow quantities, the total entropy generation number and the Bejan number are plotted and discussed. It is observed that fluid velocity and temperature is enhanced in the core channel region for small values of Hartmann number and cilia length. It is also noticed that the entropy generation and the Bejan number are decreasing function of magnetic field. Near the channel center, irreversibility due to fluid friction is dominant but at the channel wall heat transfer irreversibility effects are observed to be substantial. The confined bolus reduces in size for small values of cilia length parameter and large values of Hartmann number.

scholarly journals Study of Blood Flow with Effects of Slip in Arterial Stenosis Due to Presence of Transverse Magnetic Field

2013 ◽  
Vol 4 (2) ◽  
pp. 215-226
Author(s):  
Sarfraz Ahmed
Keyword(s):  
Magnetic Field ◽  
Reynolds Number ◽  
Blood Flow ◽  
Transverse Magnetic Field ◽  
Hartmann Number ◽  
Fluid Velocity ◽  
Equations Of Motion ◽  
Circulatory System ◽  
Transverse Magnetic ◽  
Arterial Stenosis

The flow of blood in human circulatory system can be controlled by applying appropriate magnetic field. It is also well known that non-Newtonian nature of blood significantly influences the flows, particularly in the cases where blood vessels are curved, branching or narrow etc. Stenosis refers to localized narrowing of an artery and is a frequent result of arterial disease and is caused mainly due to intravascular atherosclerotic plaque which develops at the arterial wall and protrudes into the lumen of the vessel. Such constrictions disturb normal blood flow through the artery. Here study is made on the flow of blood through a stenosed artery with the effect of slip at the boundary in presence of transverse magnetic field considering blood as Casson fluid (non- Newtonian fluid). The equations of motion has have been solved numerically. The effect of various parameters on the flow characteristics like Hartmann number, Reynolds number has been discussed. Numerical results were obtained for different values of the Hartmann number M and Reynolds number Re. It is observed that the fluid velocity decreases as the Hartmann number increases.

A computational analysis of heat transport irreversibility phenomenon in a magnetized porous channel

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Souad Marzougui ◽  
M. Bouabid ◽  
Fateh Mebarek-Oudina ◽  
Nidal Abu-Hamdeh ◽  
Mourad Magherbi ◽  
...  
Keyword(s):  
Heat Transport ◽  
Entropy Generation ◽  
Numerical Solutions ◽  
Hartmann Number ◽  
Liquid Velocity ◽  
Solid Wall ◽  
Porous Channel ◽  
Brinkman Number ◽  
Content Type ◽  
Binary Gas Mixture

Purpose The purpose of this paper is to evaluate the temperature, the Dirichlet conditions have been considered to the parallel horizontal plates. The model of generalized Brinkman-extended Darcy with the Boussinesq approximation is considered and the governing equations are computed by COMSOL multiphysics. Design/methodology/approach In the current study, the thermodynamic irreversible principle is applied to study the unsteady Poiseuille–Rayleigh–Bénard (PRB) mixed convection in a channel (aspect ratio A = 5), with the effect of a uniform transverse magnetic field. Findings The effects of various flow parameters on the fluid flow, Hartmann number (Ha), Darcy number (Da), Brinkman number (Br) and porosity (ε), are presented graphically and discussed. Numerical results for temperature and velocity profiles, entropy generation variations and contour maps of streamlines, are presented as functions of the governing parameter mentioned above. Basing on the generalized Brinkman-extended Darcy formulation, which allows the satisfaction of the no-slip boundary condition on a solid wall, it is found that the flow field and then entropy generation is notably influenced by the considering control parameters. The results demonstrate that the flow tends toward the steady-state with four various regimes, which strongly depends on the Hartman and Darcy numbers variations. Local thermodynamic irreversibilities are more confined near the active top and bottom horizontal walls of the channel when increasing the Da and decreasing the Hartmann number. Entropy generation is also found to be considerably affected by Brinkman number variation. Originality/value In the present work, we are presenting our investigations on the influence of a transverse applied external magnetohydrodynamic on entropy generation at the unsteady laminar PRB flow of an incompressible, Newtonian, viscous electrically conducting binary gas mixture fluid in porous channel of two horizontal heated plates. The numerical solutions for the liquid velocity, the temperature distribution and the rates of heat transport and entropy generation are obtained and are plotted graphically.

Velocity Slip and Entropy Generation Phenomena in Thermal Transport Through Metallic Porous Channel

2020 ◽  
Vol 45 (3) ◽  
pp. 247-256
Author(s):  
Mustafa Turkyilmazoglu
Keyword(s):  
Entropy Generation ◽  
Thermal Transport ◽  
Slip Velocity ◽  
Fluid Velocity ◽  
Wall Slip ◽  
Velocity Slip ◽  
Porous Channel ◽  
Physical Parameters ◽  
Entropy Generation Number ◽  
Closed Form Solutions

AbstractMomentum and thermal transport through open-celled metallic foams filled in a channel of small height is studied in the present technical brief. Fully developed momentum and thermal layers via the Brinkman–Darcy model enable us to obtain closed-form solutions regarding the fluid velocity and temperature distributions of metal and fluid, all depending upon a factor related to the wall slip velocity. A comparative study on the pertinent physical parameters helps us conclude that the wall slip cools the porous channel, enhancing the rate of heat transfer. In addition to this, increasing pore density leads to an effective reduction in the entropy generation number, followed by further reduction with the nonzero slip velocity, except the near-wall regions.

Numerical study of magnetohydrodynamics Jeffery–Hamel flow with cu-water nanofluid between two rectangular smooth walls with transverse magnetic field

2020 ◽  
Vol 09 (02) ◽  
pp. 2050010
Author(s):  
Ramakanta Meher ◽  
N. D. Patel
Keyword(s):  
Magnetic Field ◽  
Reynolds Number ◽  
Velocity Profile ◽  
Transverse Magnetic Field ◽  
Hartmann Number ◽  
Numerical Study ◽  
Transverse Magnetic ◽  
Differential Transform Method ◽  
Transform Method ◽  
Differential Transform

In this paper, the MHD Jeffery–Hamel flow with cu-water nanofluid between two smooth rectangular walls with the transverse magnetic field is studied. Differential transform method (DTM) is used to obtain the velocity profile of Jeffery–Hamel flow in both convergent and divergent channels for different values of Reynolds number and Hartmann number. Finally, to examine the accuracy and the validity of the method, the obtained results have been compared with the available collation method results.

Sign in / Sign up

Export Citation Format

Share Document