scholarly journals Entropy Generation and Consequences of MHD in Darcy–Forchheimer Nanofluid Flow Bounded by Non-Linearly Stretching Surface

Symmetry ◽  
2020 ◽  
Vol 12 (4) ◽  
pp. 652 ◽  
Author(s):  
Ghulam Rasool ◽  
Anum Shafiq ◽  
Ilyas Khan ◽  
Dumitru Baleanu ◽  
Kottakkaran Sooppy Nisar ◽  
...  
Keyword(s):  
Thermal Radiation ◽  
Second Law Of Thermodynamics ◽  
Momentum Equation ◽  
Navier Stokes ◽  
Brownian Diffusion ◽  
Bejan Number ◽  
Stretching Surface ◽  
Nanofluid Flow ◽  
Entropy Optimization ◽  
Stream Lines

Present communication aims to inspect the entropy optimization, heat and mass transport in Darcy-Forchheimer nanofluid flow surrounded by a non-linearly stretching surface. Navier-Stokes model based governing equations for non-Newtonian nanofluids having symmetric components in various terms are considered. Non-linear stretching is assumed to be the driving force whereas influence of thermal radiation, Brownian diffusion, dissipation and thermophoresis is considered. Importantly, entropy optimization is performed using second law of thermodynamics. Governing problems are converted into nonlinear ordinary problems (ODEs) using suitably adjusted transformations. RK-45 based built-in shooting mechanism is used to solve the problems. Final outcomes are plotted graphically. In addition to velocity, temperature, concentration and Bejan number, the stream lines, contour graphs and density graphs have been prepared. For their industrial and engineering importance, results for wall-drag force, heat flux (Nusselt) rate and mass flux (Sherwood) rate are also given in tabular data form. Outputs indicate that velocity reduces for Forchheimer number as well as for the porosity factor. However, a rise is noted in temperature distribution for elevated values of thermal radiation. Entropy optimization shows enhancement for larger values of temperature difference ratio. Skin-friction enhances for all relevant parameters involved in momentum equation.

scholarly journals Entropy Generation and Consequences of Binary Chemical Reaction on MHD Darcy–Forchheimer Williamson Nanofluid Flow Over Non-Linearly Stretching Surface

Entropy ◽  
2019 ◽  
Vol 22 (1) ◽  
pp. 18 ◽  
Author(s):  
Ghulam Rasool ◽  
Ting Zhang ◽  
Ali J. Chamkha ◽  
Anum Shafiq ◽  
Iskander Tlili ◽  
...  
Keyword(s):  
Entropy Generation ◽  
Second Law Of Thermodynamics ◽  
Magnetic Reynolds Number ◽  
Random Motion ◽  
Weissenberg Number ◽  
Brownian Diffusion ◽  
Bejan Number ◽  
Nanofluid Flow ◽  
Highly Nonlinear ◽  
Buongiorno Model

The current article aims to present a numerical analysis of MHD Williamson nanofluid flow maintained to flow through porous medium bounded by a non-linearly stretching flat surface. The second law of thermodynamics was applied to analyze the fluid flow, heat and mass transport as well as the aspects of entropy generation using Buongiorno model. Thermophoresis and Brownian diffusion is considered which appears due to the concentration and random motion of nanoparticles in base fluid, respectively. Uniform magnetic effect is induced but the assumption of tiny magnetic Reynolds number results in zero magnetic induction. The governing equations (PDEs) are transformed into ordinary differential equations (ODEs) using appropriately adjusted transformations. The numerical method is used for solving the so-formulated highly nonlinear problem. The graphical presentation of results highlights that the heat flux receives enhancement for augmented Brownian diffusion. The Bejan number is found to be increasing with a larger Weissenberg number. The tabulated results for skin-friction, Nusselt number and Sherwood number are given. A decent agreement is noted in the results when compared with previously published literature on Williamson nanofluids.

scholarly journals Impact of Nonlinear Thermal Radiation and Entropy Optimization Coatings with Hybrid Nanoliquid Flow Past a Curved Stretched Surface

Coatings ◽  
2018 ◽  
Vol 8 (12) ◽  
pp. 430 ◽  
Author(s):  
Dianchen Lu ◽  
Muhammad Ramzan ◽  
Shafiq Ahmad ◽  
Ahmad Shafee ◽  
Muhammad Suleman
Keyword(s):  
Thermal Radiation ◽  
Concentration Field ◽  
Nonlinear Thermal Radiation ◽  
Stretching Surface ◽  
Entropy Optimization ◽  
Nickel Zinc ◽  
Temperature Distributions ◽  
Opposite Trend ◽  
Curvature Parameter ◽  
Published Result

The present investigation addresses the flow of hybrid (nickel–zinc ferrite and ethylene glycol) nanoliquid with entropy optimization and nonlinear thermal radiation coatings past a curved stretching surface. Analysis was carried out in the presence of magnetohydrodynamic, heat generation/absorption, and convective heat and mass flux conditions. Solution of the modeled problem was attained numerically using MATLAB built-in function bvp4c. Impacts of prominent parameters on betrothed distributions were depicted through graphs and were well supported by requisite discussions. Numerically calculated values of Sherwood number were established in a tabulated form and were scrutinized critically. An excellent concurrence was achieved when results of the presented model were compared with previously published result; hence, dependable results are being presented. It was observed that concentration field diminished with increasing values of curvature parameter, though the opposite trend was noticed for velocity and temperature distributions. Further, it was detected that Nusselt number decreased with augmented values of radiation and curvature parameters.

Dusty Casson Nanofluid Flow with Thermal Radiation Over a Permeable Exponentially Stretching Surface

2019 ◽  
Vol 8 (4) ◽  
pp. 714-724 ◽  
Author(s):  
Syed Asif Hussain ◽  
Gohar Ali ◽  
Sher Muhammad ◽  
Syed Inayat Ali Shah ◽  
Mohammad Ishaq ◽  
...  
Keyword(s):  
Thermal Radiation ◽  
Stretching Surface ◽  
Nanofluid Flow ◽  
Casson Nanofluid ◽  
Exponentially Stretching Surface ◽  
Exponentially Stretching

scholarly journals Passive control of magneto-nanomaterials transient flow subject to non-linear thermal radiation

2021 ◽  
pp. 169-169
Author(s):  
Ikram Ullah ◽  
Sayed Shah ◽  
Gul Zaman ◽  
Taseer Muhammad ◽  
Zakir Hussain
Keyword(s):  
Thermal Radiation ◽  
Passive Control ◽  
Stretching Sheet ◽  
Transient Flow ◽  
Brownian Diffusion ◽  
Convection Flow ◽  
Stretching Surface ◽  
Surface Drag ◽  
Non Linear ◽  
Linear Odes

Present investigation is concerned with mixed convection flow of Williamson nanoliquid over an unsteady slandering stretching sheet. Aspects of non-linear thermal radiation, Brownian diffusion and thermophoresis effects are addressed. Non-linear stretching surface of varying thickness induce the flow. Novel features of combined zero mass flux and convective conditions are accounted. Use of appropriate transformations results into the non-linear ODEs. Computations for the convergent solutions are provided. Graphs are designed for interpretations to quantities. Nusselt number and surface drag are computationally inspected. Our computed results indicate that attributes of nanoparticles and non-linear thermal radiation enhance the temperature distribution.

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