scholarly journals Features of entropy optimization on viscous second grade nanofluid streamed with thermal radiation: A Tiwari and Das model

2021 ◽  
pp. 101291
Author(s):  
Wasim Jamshed ◽  
S.R. Mishra ◽  
P.K. Pattnaik ◽  
Kottakkaran Sooppy Nisar ◽  
S. Suriya Uma Devi ◽  
...  
Keyword(s):  
Thermal Radiation ◽  
Second Grade ◽  
Entropy Optimization

Entropy generation optimisation in the nanofluid flow of a second grade fluid with nonlinear thermal radiation

Pramana ◽  
2019 ◽  
Vol 93 (4) ◽  
Author(s):  
Tasawar Hayat ◽  
Mehreen Kanwal ◽  
Sumaira Qayyum ◽  
M Ijaz Khan ◽  
Ahmed Alsaedi
Keyword(s):  
Thermal Radiation ◽  
Entropy Generation ◽  
Second Grade ◽  
Nonlinear Thermal Radiation ◽  
Second Grade Fluid ◽  
Nanofluid Flow ◽  
Grade Fluid

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.

scholarly journals The effect of thermal radiation on the flow of a second grade fluid

2009 ◽  
Vol 58 (2) ◽  
pp. 369-379 ◽  
Author(s):  
T. Hayat ◽  
M. Nawaz ◽  
M. Sajid ◽  
S. Asghar
Keyword(s):  
Thermal Radiation ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid

Thermal Radiation Effects on the Flow by an Exponentially Stretching Surface: a Series Solution

2010 ◽  
Vol 65 (6-7) ◽  
pp. 495-503 ◽  
Author(s):  
Sohail Nadeema ◽  
Tasawar Hayat ◽  
Muhammad Yousaf Malika ◽  
Saeed Ahmed Rajputa
Keyword(s):  
Heat Transfer ◽  
Thermal Radiation ◽  
Radiation Effects ◽  
Second Grade ◽  
Stretching Surface ◽  
Exponential Order ◽  
Flow And Heat Transfer ◽  
Homotopy Analysis ◽  
Grade Fluid ◽  
Exponentially Stretching

This article analytically describes the thermal radiation effects on the flow and heat transfer characteristics. The flow in a second-grade fluid is created due to an exponentially porous stretching surface. The series solutions of velocity and temperature are developed by a homotopy analysis method. The heat transfer results are obtained for the two cases, namely, (i) the prescribed exponential order surface temperature (PEST) and (ii) the prescribed exponential order heat flux (PEHF). It is noticed that the temperature profile in both cases decreases when radiation parameter is increased.

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 A Numerical Exploration of Modified Second-Grade Nanofluid with Motile Microorganisms, Thermal Radiation, and Wu’s Slip

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 393 ◽  
Author(s):  
Yurong Li ◽  
Hassan Waqas ◽  
Muhammad Imran ◽  
Umar Farooq ◽  
Fouad Mallawi ◽  
...  
Keyword(s):  
Differential Equations ◽  
Thermal Radiation ◽  
Volume Fraction ◽  
Thermal Characteristics ◽  
Second Grade ◽  
Physical Parameters ◽  
Flux Boundary Condition ◽  
Shooting Technique ◽  
Automobile Engines ◽  
Nanoparticles Concentration

This study is carried out to scrutinize the gyrotactic bioconvection effects on modified second-grade nanofluid with motile microorganisms and Wu’s slip (second-order slip) features. The activation energy and thermal radiation are also incorporated. The suspended nanoparticles in a host fluid are practically utilized in numerous technological and industrial products such as metallic strips, energy enhancement, production processes, automobile engines, laptops, and accessories. Nanoparticles with high thermal characteristics and low volume fraction may improve the thermal performance of the base fluid. By employing the appropriate self-similar transformations, the governing set of partial differential equations (PDEs) are reduced into the ordinary differential equations (ODEs). A zero mass flux boundary condition is proposed for nanoparticle diffusion. Then, the transmuted set of ODEs is solved numerically with the help of the well-known shooting technique. The numerical and graphical illustrations are developed by using a collocation finite difference scheme and three-stage Lobatto III as the built-in function of the bvp4c solver via MATLAB. Behaviors of the different proficient physical parameters on the velocity field, temperature distribution, volumetric nanoparticles concentration profile, and the density of motile microorganism field are deliberated numerically as well as graphically.

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