Optimized frame work for Reiner–Philippoff nanofluid with improved thermal sources and Cattaneo–Christov modifications: A numerical thermal analysis

This motivating analysis aims to present the thermal mechanism for mixed convection flow of Reiner–Philippoff nanofluid with assessment of entropy generation. The thermal performances of nanomaterials have been modified by utilizing the nonuniform heat source/sink, Ohmic dissipations and thermal radiation consequences. The assumed surface is assumed to be porous with non-Darcian porous medium. The modified Cattaneo–Christov relations are followed to modify the mass and heat equations. The invoking of similarity variables results in differential equations in nonlinear and coupled form. A MATLAB-based shooting algorithm is employed to access the numerical simulations. The physical aspect of thermal model is graphically addressed for endorsed flow parameters. The importance of entropy generation is visualized with associated mathematical relations and physical explanations. The numerical values are obtained for the assessment of heat and mass transfer phenomenon.

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Numerical study of bio-convection flow of magneto-cross nanofluid containing gyrotactic microorganisms with activation energy

Scientific Reports ◽

10.1038/s41598-021-95587-2 ◽

2021 ◽

Vol 11 (1) ◽

Author(s):

Qiu-Hong Shi ◽

Aamir Hamid ◽

M. Ijaz Khan ◽

R. Naveen Kumar ◽

R. J. Punith Gowda ◽

...

Keyword(s):

Radiation Effects ◽

Numerical Study ◽

Source Parameters ◽

Lewis Number ◽

Convective Boundary Condition ◽

Convection Flow ◽

Convective Boundary ◽

Similarity Transformations ◽

Cross Nanoliquid ◽

Source Sink

AbstractIn this study, a mathematical model is developed to scrutinize the transient magnetic flow of Cross nanoliquid past a stretching sheet with thermal radiation effects. Binary chemical reactions and heat source/sink effects along with convective boundary condition are also taken into the consideration. Appropriate similarity transformations are utilized to transform partial differential equations (PDE’s) into ordinary ones and then numerically tackled by shooting method. The impacts of different emerging parameters on the thermal, concentration, velocity, and micro-rotation profiles are incorporated and discussed in detail by means of graphs. Results reveal that, the escalation in magnetic parameter and Rayleigh number slowdowns the velocity and momentum of the fluid. The increase in Biot number, radiation and heat sink/source parameters upsurges the thermal boundary but, converse trend is seen for escalating Prandtl number. The density number of motile microorganisms acts as a growing function of bioconvection Lewis number and declining function of bioconvection Peclet number.

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

Scientific Reports ◽

10.1038/s41598-021-89744-w ◽

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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Entropy generation optimization for MHD natural convection of a nanofluid in porous media-filled enclosure with active parts and viscous dissipation

International Journal of Numerical Methods for Heat &amp Fluid Flow ◽

10.1108/hff-10-2015-0408 ◽

2017 ◽

Vol 27 (2) ◽

pp. 379-399 ◽

Cited By ~ 21

Author(s):

M.A. Mansour ◽

Sameh Elsayed Ahmed ◽

Ali J. Chamkha

Keyword(s):

Heat Transfer ◽

Natural Convection ◽

Viscous Dissipation ◽

Entropy Generation ◽

Local Heat Transfer ◽

Local Heat ◽

Convection Flow ◽

Negative Effects ◽

Content Type ◽

Volume Method

Purpose This paper aims to investigate the entropy generation due to magnetohydrodynamic natural convection flow and heat transfer in a porous enclosure filled with Cu-water nanofluid in the presence of viscous dissipation effect. The left and right walls of the cavity are thermally insulated. There are heated and cold parts, and these are placed on the bottom and top wall, respectively, whereas the remaining parts are thermally insulated. Design/methodology/approach The finite volume method is used to solve the dimensionless partial differential equations governing the problem. A comparison with previously published woks is presented and is found to be in an excellent agreement. Findings The minimization of entropy generation and local heat transfer according to different values of the governing parameters are presented in details. It is found that the presence of magnetic field has negative effects on the local entropy generation because of heat transfer and the local total entropy generation. Also, the increase in the heated part length leads to a decrease in the local Nusselt number. Originality/value This problem is original, as it has not been considered previously.

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Second Law Analysis of Magnetorheological Rotational Flow With Viscous Dissipation

Journal of Thermal Science and Engineering Applications ◽

10.1115/1.4032670 ◽

2016 ◽

Vol 8 (2) ◽

Cited By ~ 3

Author(s):

Abbas Hazbavi

Keyword(s):

Magnetic Field ◽

Viscous Dissipation ◽

Entropy Generation ◽

Hartmann Number ◽

Outer Cylinder ◽

Base Flow ◽

Convection Flow ◽

Fluid Temperature ◽

Brinkman Number ◽

Fluid Elasticity

In this study, the influences of the applied magnetic field and fluid elasticity were investigated for a nonlinear viscoelastic fluid obeying the Carreau equation between concentric annulus where the inner cylinder rotates at a constant angular velocity and the outer cylinder is stationary. The governing motion and energy balance equations are coupled while viscous dissipation is taken into account, adding complexity to the already highly correlated set of differential equations. The numerical solution is obtained for the narrow gap limit and steady-state base flow. Magnetic field effect on local entropy generation due to steady two-dimensional laminar forced convection flow was investigated. This study was focused on the entropy generation characteristics and its dependency on various dimensionless parameters. The effects of the Hartmann number, the Brinkman number, the Deborah number, and the fluid elasticity on the stability of the flow were investigated. The application of the magnetic field induces a resistive force acting in the opposite direction of the flow, thus causing its deceleration. Moreover, the study shows that the presence of magnetic field tends to slowdown the fluid motion and thus increases the fluid temperature. However, the total entropy generation number decreases as the Hartmann number and fluid elasticity increase and it increases with increasing Brinkman number.

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Effects of Energy Dissipation and Variable Thermal Conductivity on Entropy Generation Rate in Mixed Convection Flow

Journal of Thermal Science and Engineering Applications ◽

10.1115/1.4038703 ◽

2018 ◽

Vol 10 (4) ◽

Cited By ~ 5

Author(s):

Muhammad Qasim ◽

Muhammad Idrees Afridi

Keyword(s):

Thermal Conductivity ◽

Energy Dissipation ◽

Mixed Convection ◽

Entropy Generation ◽

Variable Thermal Conductivity ◽

Convection Flow ◽

Mixed Convection Flow ◽

Entropy Generation Number ◽

Similarity Transformations ◽

Generation Number

Analysis of entropy generation in mixed convection flow over a vertically stretching sheet has been carried out in the presence of variable thermal conductivity and energy dissipation. Governing equations are reduced to self-similar ordinary differential equations via similarity transformations and are solved numerically by applying shooting and fourth-order Runge–Kutta techniques. The expressions for entropy generation number and Bejan number are also obtained by using similarity transformations. The influence of embedding physical parameters on quantities of interest is discussed through graphical illustrations. The results reveal that entropy generation number increases significantly in the vicinity of stretching surface and gradually dies out as one move away from the sheet. Also, the entropy generation number decreases with an increase in temperature difference parameter. Moreover, entropy generation number enhances with an enhancement in the Eckert number, Prandtl number, and variable thermal conductivity parameter.

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Numerical Treatment for the Second Law Analysis in Hydromagnetic Peristaltic Nanomaterial Rheology: Endoscopy Applications

10.21203/rs.3.rs-709319/v1 ◽

2021 ◽

Author(s):

Muhammad Awais ◽

Muhammad Shoaib ◽

Muhammad Asif Zahoor Raja ◽

Saba Arif ◽

Muhammad Yousaf Malik ◽

...

Keyword(s):

Magnetic Field ◽

Entropy Generation ◽

Applied Magnetic Field ◽

Entropy Generation Number ◽

Long Wavelength ◽

Flow Parameters ◽

Cylindrical Tubes ◽

Flow Approximation ◽

Physical Insight ◽

External Tube

Abstract In current study, analysis is presented for peristaltic motion of applied magnetic field and entropy generation within couple stress (Cu/H2O) nanofluid through an endoscope. An endoscope contains two coaxial cylindrical tubes in which the internal tube is nonflexible while the external tube has sinusoidal wave passing through the boundary. Influences of mixed convection along with applied magnetic field are encountered as well. Formulated governing model is fabricated introducing long wavelength and creeping Stokesian flow approximation which are then analyzed numerically by utilizing Adams Bashforth method. For a physical insight, results are demonstrated to examine the behaviors of flow profiles and entropy generation number for emerging flow parameters with the help of graphs, bar-charts and tables.

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Heat Transfer Analysis for Viscous Fluid Flow with the Newtonian Heating and Effect of Magnetic Force in a Rotating Regime

Complexity ◽

10.1155/2021/9962732 ◽

2021 ◽

Vol 2021 ◽

pp. 1-11

Author(s):

Rashid Ayub ◽

Shahzad Ahmad ◽

Muhammad Imran Asjad ◽

Mushtaq Ahmad

Keyword(s):

Viscous Fluid ◽

Fluid Motion ◽

Velocity Fields ◽

Heat Transfer Analysis ◽

Convection Flow ◽

Newtonian Heating ◽

Flow Parameters ◽

Laplace Transform Technique ◽

The Laplace Transform ◽

Temperature And Velocity Fields

In this article, an unsteady free convection flow of MHD viscous fluid over a vertical rotating plate with Newtonian heating and heat generation is analyzed. The dimensionless governing equations for temperature and velocity fields are solved using the Laplace transform technique. Analytical solutions are obtained for the temperature and components of velocity fields. The obtained solutions satisfy the initial and boundary conditions. Some physical aspects of flow parameters on the fluid motion are presented graphically.

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Radiative mixed convection flow of maxwell nanofluid over a stretching cylinder with joule heating and heat source/sink effects

Scientific Reports ◽

10.1038/s41598-020-74393-2 ◽

2020 ◽

Vol 10 (1) ◽

Author(s):

Saeed Islam ◽

Arshad Khan ◽

Poom Kumam ◽

Hussam Alrabaiah ◽

Zahir Shah ◽

...

Keyword(s):

Brownian Motion ◽

Heat Source ◽

Mixed Convection ◽

Joule Heating ◽

Internal Heat ◽

Convection Flow ◽

Stretching Cylinder ◽

Mixed Convection Flow ◽

Maxwell Nanofluid ◽

Source Sink

Abstract This work analyses thermal effect for a mixed convection flow of Maxwell nanofluid spinning motion produced by rotating and bidirectional stretching cylinder. Impacts of Joule heating and internal heat source/sink are also taken into account for current investigation. Moreover, the flow is exposed to a uniform magnetic field with convective boundary conditions. The modeled equations are converted to set of ODEs through group of similar variables and are then solved by using semi analytical technique HAM. It is observed in this study that, velocity grows up with enhancing values of Maxwell, mixed convection parameters and reduces with growing values of magnetic parameter. Temperature jumps up with increasing values of heat source, Eckert number, Brownian motion,thermophoresis parameter and jumps down with growing values of Prandtl number and heat sink. The concentration is a growing function of thermophoresis parameter and a reducing function of Brownian motion and Schmidt number.

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Entropy Generation in Magnetohydrodynamic Mixed Convection Flow over an Inclined Stretching Sheet

Entropy ◽

10.3390/e19010010 ◽

2016 ◽

Vol 19 (1) ◽

pp. 10 ◽

Cited By ~ 14

Author(s):

Muhammad Afridi ◽

Muhammad Qasim ◽

Ilyas Khan ◽

Sharidan Shafie ◽

Ali Alshomrani

Keyword(s):

Mixed Convection ◽

Entropy Generation ◽

Stretching Sheet ◽

Convection Flow ◽

Mixed Convection Flow

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Effects of Thermal Boundary Conditions on Entropy Generation During Natural Convection in a Differentially Heated Square Cavity

2010 14th International Heat Transfer Conference, Volume 7 ◽

10.1115/ihtc14-23112 ◽

2010 ◽

Cited By ~ 1

Author(s):

Ram Satish Kaluri ◽

Tanmay Basak ◽

A. R. Balakrishnan

Keyword(s):

Heat Transfer ◽

Natural Convection ◽

Boundary Conditions ◽

Entropy Generation ◽

Bottom Wall ◽

Convection Flow ◽

Uniform Heating ◽

Square Cavity ◽

Fluid Friction ◽

Thermal Boundary Conditions

Natural convection is a widely occurring phenomena which has important applications in material processing, energy storage devices, electronic cooling, building ventilation etc. The concept of ‘entropy generation minimization’, which is a thermodynamic approach for optimization, may be very useful in designing efficient thermal systems. In the current study, entropy generation in steady laminar natural convection flow in a square cavity is studied with following isothermal boundary conditions: (1) Bottom wall is uniformly heated (2) Bottom wall is sinusoidally heated. The side walls are maintained cold and the top wall is maintained adiabatic. The thermal boundary condition in non-uniform heating case (case 2) is such that the dimensionless average temperature of the bottom wall is equal to that of uniform heating case (case 1). The prime objective of this work is to investigate the influence of uniform and non-uniform heating on entropy generation. The governing mass, momentum and energy equations are solved using Galerkin finite element method. Streamlines, isotherms, contour maps of entropy generation due to heat transfer and fluid friction are studied for Pr = 0.01 (molten metals) and 7 (water) in range of Ra = 103–105. Detailed analysis on the effect of uniform and non-uniform thermal boundary conditions on entropy generation due to heat transfer and fluid friction has been presented. Also, the average Bejan’s number which indicates the relative dominance of entropy generation due to heat transfer or fluid friction and the total entropy generation are studied for each case.

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