scholarly journals Entropy Production in Electroosmotic Cilia Facilitated Stream of Thermally Radiated Nanofluid with Ohmic Heating

Micromachines ◽  
2021 ◽  
Vol 12 (9) ◽  
pp. 1004
Author(s):  
Sufian Munawar ◽  
Najma Saleem ◽  
Ahmer Mehmood ◽  
Ibtisam Daqqa
Keyword(s):  
Thermal Radiation ◽  
Entropy Generation ◽  
Ohmic Heating ◽  
Volumetric Flow Rate ◽  
Convective Transport ◽  
Governing Equations ◽  
Long Wavelength ◽  
Flow And Heat Transfer ◽  
Living Things ◽  
Wavelength Approximation

No thermal process, even the biological systems, can escape from the long arms of the second law. All living things preserve entropy since they obtain energy from the nutrition they consume and gain order by producing disorder. The entropy generation in a biological and thermally isolated system is the main subject of current investigation. The aim is to examine the entropy generation during the convective transport of a ciliated nano-liquid in a micro-channel under the effect of a uniform magnetic field. Joint effects of electroosmosis and thermal radiation are also brought into consideration. To attain mathematical simplicity, the governing equations are transformed to wave frame where the inertial parts of the transport equations are dropped with the use of a long-wavelength approximation. This finally produces the governing equations in the form of ordinary differential equations which are solved numerically by a shooting technique. The analysis reports that the cilia motion contributes to enhance the flow and heat transfer phenomena. An enhancement in the flow is observed near the channel surface for higher cilia length and for smaller values of the electroosmotic parameter. The entropy generation in the ciliated channel is observed to be lessened by intensifying the thermal radiation and decreasing the Ohmic heating. The extended and flexible cilia structure contributes to augment the volumetric flow rate and to drop the total entropy generation in the channel.

scholarly journals Entropy Generation and Natural Convection Flow of Hybrid Nanofluids in a Partially Divided Wavy Cavity Including Solid Blocks

Energies ◽  
2020 ◽  
Vol 13 (11) ◽  
pp. 2942 ◽  
Author(s):  
Ammar I. Alsabery ◽  
Ishak Hashim ◽  
Ahmad Hajjar ◽  
Mohammad Ghalambaz ◽  
Sohail Nadeem ◽  
...  
Keyword(s):  
Entropy Generation ◽  
Convection Flow ◽  
Hybrid Nanofluid ◽  
Bejan Number ◽  
The Finite Element Method ◽  
Governing Equations ◽  
Flow And Heat Transfer ◽  
Hybrid Nanofluids ◽  
Wavy Cavity ◽  
Rayleigh Numbers

The present investigation addressed the entropy generation, fluid flow, and heat transfer regarding Cu-Al 2 O 3 -water hybrid nanofluids into a complex shape enclosure containing a hot-half partition were addressed. The sidewalls of the enclosure are made of wavy walls including cold isothermal temperature while the upper and lower surfaces remain insulated. The governing equations toward conservation of mass, momentum, and energy were introduced into the form of partial differential equations. The second law of thermodynamic was written for the friction and thermal entropy productions as a function of velocity and temperatures. The governing equations occurred molded into a non-dimensional pattern and explained through the finite element method. Outcomes were investigated for Cu-water, Al 2 O 3 -water, and Cu-Al 2 O 3 -water nanofluids to address the effect of using composite nanoparticles toward the flow and temperature patterns and entropy generation. Findings show that using hybrid nanofluid improves the Nusselt number compared to simple nanofluids. In the case of low Rayleigh numbers, such enhancement is more evident. Changing the geometrical aspects of the cavity induces different effects toward the entropy generation and Bejan number. Generally, the global entropy generation for Cu-Al 2 O 3 -water hybrid nanofluid takes places between the entropy generation values regarding Cu-water and Al 2 O 3 -water nanofluids.

Slip and Heat Transfer Effects on Peristaltic Motion of a Carreau Fluid in an Asymmetric Channel

2010 ◽  
Vol 65 (12) ◽  
pp. 1121-1127 ◽  
Author(s):  
Tasawar Hayat ◽  
Najma Saleem ◽  
Awatif A. Hendi
Keyword(s):  
Heat Transfer ◽  
Peristaltic Flow ◽  
Asymmetric Channel ◽  
Peristaltic Motion ◽  
Carreau Fluid ◽  
Long Wavelength ◽  
Flow And Heat Transfer ◽  
Long Wavelength Approximation ◽  
Wavelength Approximation ◽  
Pumping And Trapping

An analysis has been carried out for peristaltic flow and heat transfer of a Carreau fluid in an asymmetric channel with slip effect. The governing problem is solved under long wavelength approximation. The variations of pertinent dimensionless parameters on temperature are discussed. Pumping and trapping phenomena are studied.

scholarly journals Effects of Heat and Mass Transfer on MHD Peristaltic Flow of a Non-Newtonian Fluid through a Porous Medium between Two Coaxial Cylinders

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Abeer A. Shaaban ◽  
Mohamed Y. Abou-zeid
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Flow Characteristics ◽  
Fluid Flows ◽  
Peristaltic Flow ◽  
Governing Equations ◽  
Long Wavelength ◽  
Finite Difference Technique ◽  
Long Wavelength Approximation ◽  
Wavelength Approximation

We investigated the influence of heat and mass transfer on the peristaltic flow of magnetohydrodynamic Eyring-Powell fluid under low Reynolds number and long-wavelength approximation. The fluid flows between two infinite cylinders; the inner tube is uniform, rigid, and rest, while the outer flexible tube has a sinusoidal wave traveling down its wall. The governing equations are solved numerically using finite-difference technique. The velocity, temperature, and concentration distribution are obtained. The features of flow characteristics are analyzed by plotting graphs and discussed in detail.

scholarly journals Flow and heat transfer in MHD visco-elastic fluid with ohmic heating

2016 ◽  
Vol 12 (1) ◽  
Author(s):  
Bandita Das ◽  
Rita Choudhury
Keyword(s):  
Ohmic Heating ◽  
Perturbation Technique ◽  
Equations Of Motion ◽  
Fluid Motion ◽  
Concentration Field ◽  
Governing Equations ◽  
Free Convective Flow ◽  
Flow And Heat Transfer ◽  
Graphical Illustration ◽  
Infinite Vertical Plate

An investigation is made of the motion of a visco-elastic, MHD free convective flow and mass transfer past an infinite vertical plate. The effects of ohmic heating and viscous dissipation are taken into account. For solving the non-dimensional governing equations of motion perturbation technique has been into used and the important properties of the overall structure of the fluid motion are studied. The effect of various parameters of the velocity field, concentration field and temperature distribution are discussed with the help of graphical illustration.

scholarly journals Entropy Generation Analysis of Peristaltic Flow and Heat Transfer of a Jeffery Nanofluid in a Horizontal Channel under Magnetic Environment

2019 ◽  
Vol 2019 ◽  
pp. 1-13 ◽  
Author(s):  
Aneela Bibi ◽  
Hang Xu
Keyword(s):  
Thermal Radiation ◽  
Entropy Generation ◽  
Volume Fraction ◽  
Brownian Diffusion ◽  
Physical Parameters ◽  
Symmetric Channel ◽  
Flow And Heat Transfer ◽  
Heating Effects ◽  
Homotopy Analysis ◽  
Jeffery Nanofluid

A mathematical model is developed to examine the behaviors of a peristalsis flow with nanoparticles in a symmetric channel under the magnetic environment. Here, the nanofluid is electrically conducted through an external magnetic field. Thermal radiation and Joule heating effects are also retained in the present analysis. Under the lubrication approach, the reduced nonlinear systems are obtained. Then, they are solved very efficiently by means of a homotopy analysis method-based package BVPh 2.0. The influences of important physical parameters on the flow behaviors are presented. Analysis of the entropy generation is illustrated. It is found that the Brownian diffusion and the thermophoresis are the two most important nanoparticle slip mechanisms in the Jeffery fluids as well. Besides, the Hartman number, the type of the Jeffery fluid, the Brinkman number, and the thermal radiation parameter play important roles on flow behaviors. Results show that the temperature profile enhanced but the nanoparticles’ volume fraction profiles lowered with increase in the Hartman number. However, using the Jeffery nanofluid induces effect on the velocity distribution that decreases with the increase in the Jeffery fluid parameter. It is also found that the generated total entropy increases with an increase in the Brownian motion parameter but with a decrease in the thermophoresis parameter.

scholarly journals Statistical Analysis of the Mathematical Model of Entropy Generation of Magnetized Nanofluid

Inventions ◽  
2019 ◽  
Vol 4 (2) ◽  
pp. 32 ◽  
Author(s):  
Munawwar Ali Abbas ◽  
Ibrahim Hussain
Keyword(s):  
Mathematical Model ◽  
Reynolds Number ◽  
Statistical Analysis ◽  
Entropy Generation ◽  
Concentration Profile ◽  
Perturbation Technique ◽  
Governing Equations ◽  
Friction Forces ◽  
Long Wavelength ◽  
The Mathematical Model

This investigation introduces a mathematical model of entropy generation for Magnetohydrodynamic (MHD) peristaltic wave of nanofluid. The governing equations have been created by the supposition of low Reynolds number and long wavelength estimation. The scientific arrangement has been procured with the help of perturbation technique. The concentration profile, temperature profile, pressure distribution and friction forces are shown graphically for some important parameters. Further, the eventual outcomes of connection between the entropy generation and some various parameters have been plotted by means of correlation and regression. It is fundamental to find the affectability of each parameter on entropy generation.

Entropy Generation in Magnetized Blood Flow Through a Finite Wavy Channel Under Slip Conditions

2020 ◽  
Vol 45 (4) ◽  
pp. 419-429 ◽  
Author(s):  
Lijun Zhang ◽  
Muhammad Mubashir Bhatti ◽  
Efstathios E. Michaelides
Keyword(s):  
Blood Flow ◽  
Entropy Generation ◽  
Flow System ◽  
Peristaltic Wave ◽  
Governing Equations ◽  
Wavy Channel ◽  
Closed Form Solutions ◽  
Long Wavelength ◽  
Flow Through ◽  
Dependent Flow

AbstractThis study deals with the entropy generation in magnetized blood flow through a channel. The blood is modeled as a non-Newtonian fluid that circulates by a uniform peristaltic wave with slip at the boundaries. An inertia free flow is considered using an approximation of the long-wavelength peristaltic wave. The governing equations of the flow are formulated and numerically solved using computational software to identify the characteristics of this non-uniform and time-dependent flow system. In addition, several closed-form solutions of the problem are explicitly presented.

Magnetothermodynamic Peristaltic Flow of Bingham Non-Newtonian Fluid in Eccentric Annuli with Slip Velocity and Temperature Jump Conditions

2013 ◽  
Vol 29 (3) ◽  
pp. 493-506 ◽  
Author(s):  
M. F. El-Sayed ◽  
N. T. M. Eldabe ◽  
A. Y. Ghaly ◽  
H. M. Sayed
Keyword(s):  
Newtonian Fluid ◽  
Axial Velocity ◽  
Slip Velocity ◽  
Temperature Jump ◽  
Peristaltic Flow ◽  
Long Wavelength ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Wavelength Approximation ◽  
External Uniform Magnetic Field

AbstractIn this paper, we studied the peristaltic flow and heat transfer of an incompressible, electrically conducting Bingham Non-Newtonian fluid in an eccentric uniform annulus in the presence of external uniform magnetic field with slip velocity and temperature jump at the wall conditions. The viscous and Joule dissipations are taken into account. The inner tube is rigid and moving with a constant axial velocity, while the outer tube has a sinusoidal wave traveling down its wall. Under zero Reynolds number condition with the long wavelength approximation, the axial velocity and the stream function are obtained analytically. A numerical solution for the governing partial differential equation of energy is performed in order to analyze the temperature distribution. The effects of all parameters of the problem are numerically discussed and graphically explained.

scholarly journals Numerical Treatment for Dynamics of Second Law Analysis and Magnetic Induction Effects on Ciliary Induced Peristaltic Transport of Hybrid Nanomaterial

2021 ◽  
Vol 9 ◽  
Author(s):  
Saeed Ehsan Awan ◽  
Muhammad Awais ◽  
Muhammad Asif Zahoor Raja ◽  
Nabeela Parveen ◽  
Hafiz Muhammad Ali ◽  
...  
Keyword(s):  
Reynolds Number ◽  
Entropy Generation ◽  
Magnetic Reynolds Number ◽  
Hybrid Nanofluid ◽  
Hybrid Nanomaterial ◽  
Entropy Generation Number ◽  
Long Wavelength ◽  
Wavelength Approximation ◽  
Flow Variables ◽  
Numerical Approaches

The presented communication provides the analysis of entropy generation and heat transport rate in peristalsis of hybrid nanofluid induced by metachronal ciliary beating under magnetic environment for sufficiently large magnetic Reynolds number. Nanoparticles of Cu and Al2O3 are suspended in water. Features of their structures are determined by using long-wavelength approximation with zero Reynolds number. Adams Bashforth method has been applied to compute the results of the flow variables as well as entropy generation number from the formulated differential system which are then interpreted graphically to establish physical significance for different values of physical interest. This investigation reveals that thermal performance of fluid can be boosted by utilizing hybrid nanomaterial about the strength of a wall for stability. Irreversibility analysis ensures that entropy reduced for strong magnetic field while thermal heat generation results in an increase in temperature causing an enhancement in entropy of the system. Error analysis has been performed with reasonably accurate tolerance level. The comparative outcomes of both numerical approaches are presented with plentiful graphical as well as numerical demonstrations which demonstrate the importance in terms of robustness, accuracy and stability.

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