Entropy Generation in MHD Eyring–Powell Fluid Flow over an Unsteady Oscillatory Porous Stretching Surface under the Impact of Thermal Radiation and Heat Source/Sink

In this article, we have briefly examined the entropy generation in magnetohydrodynamic (MHD) Eyring–Powell fluid over an unsteady oscillating porous stretching sheet. The impact of thermal radiation and heat source/sink are taken in this investigation. The impact of embedded parameters on velocity function, temperature function, entropy generation rate, and Bejan number are deliberated through graphs, and discussed as well. By studying the entropy generation in magnetohydrodynamic Eyring–Powell fluid over an unsteady oscillating porous stretching sheet, the entropy generation rate is reduced with escalation in porosity, thermal radiation, and magnetic parameters, while increased with the escalation in Reynolds number. Also, the Bejan number is increased with the escalation in porosity and magnetic parameter, while increased with the escalation in thermal radiation parameter. The impact of skin fraction coefficient and local Nusselt number are discussed through tables. The partial differential equations are converted to ordinary differential equation with the help of similarity variables. The homotopy analysis method (HAM) is used for the solution of the problem. The results of this investigation agree, satisfactorily, with past studies.

[1]  Rached Ben-Mansour,et al.  Entropy generation in developing laminar fluid flow through a circular pipe with variable properties , 2005 .

[2]  Tasawar Hayat,et al.  Steady flow of an Eyring Powell fluid over a moving surface with convective boundary conditions , 2012 .

[3]  Taza Gul,et al.  The electrical MHD and Hall current impact on micropolar nanofluid flow between rotating parallel plates , 2018, Results in Physics.

[4]  Ioan Pop,et al.  Natural convection of nanofluid inside a wavy cavity with a non-uniform heating: Entropy generation analysis , 2017 .

[5]  A. Bejan.  A Study of Entropy Generation in Fundamental Convective Heat Transfer , 1979 .

[6]  Jianchao Cai,et al.  Research on Relative Permeability of Nanofibers with Capillary Pressure Effect by Means of Fractal-Monte Carlo Technique , 2017 .

[7]  Zahir Shah,et al.  Radiative MHD thin film flow of Williamson fluid over an unsteady permeable stretching sheet , 2018, Heliyon.

[8]  Adetayo Samuel Eegunjobi,et al.  Effects of Convective Heating on Entropy Generation Rate in a Channel with Permeable Walls , 2013, Entropy.

[9]  Z. Shah,et al.  Radiative Heat and Mass Transfer Analysis of Micropolar Nanofluid Flow of Casson Fluid Between Two Rotating Parallel Plates With Effects of Hall Current , 2018, Journal of Heat Transfer.

[10]  S. Liao,et al.  Beyond Perturbation: Introduction to the Homotopy Analysis Method , 2003 .

[11]  Davood Domiri Ganji,et al.  Nanofluid flow and heat transfer in a rotating system in the presence of a magnetic field , 2014 .

[12]  Ahmed Alsaedi,et al.  Radiation Effects on the Flow of Powell-Eyring Fluid Past an Unsteady Inclined Stretching Sheet with Non-Uniform Heat Source/Sink , 2014, PloS one.

[13]  Qiang Zhang,et al.  Numerical study of entropy generation in MHD water-based carbon nanotubes along an inclined permeable surface , 2017 .

[14]  Omid Mahian,et al.  Entropy generation analysis of nanofluid flow over a spherical heat source inside a channel with sudden expansion and contraction , 2018 .

[15]  Shanshan Yang,et al.  An analytical model for the transverse permeability of gas diffusion layer with electrical double layer effects in proton exchange membrane fuel cells , 2018, International Journal of Hydrogen Energy.

[16]  Mohsen Sheikholeslami,et al.  Magnetohydrodynamic nanofluid forced convection in a porous lid driven cubic cavity using Lattice Boltzmann method , 2017 .

[17]  Mohsen Sheikholeslami,et al.  Lattice Boltzmann method simulation for MHD non-Darcy nanofluid free convection , 2017 .

[18]  Zahir Shah,et al.  Three-dimensional magnetohydrodynamic (MHD) flow of Maxwell nanofluid containing gyrotactic micro-organisms with heat source/sink , 2018, AIP Advances.

[19]  Tasawar Hayat,et al.  Entropy generation analysis for peristaltic flow of nanoparticles in a rotating frame , 2017 .

[20]  Noor Saeed Khan,et al.  Slip flow of Eyring-Powell nanoliquid film containing graphene nanoparticles , 2018, AIP Advances.

[21]  Mohsen Sheikholeslami,et al.  Influence of magnetic field on nanofluid free convection in an open porous cavity by means of Lattice Boltzmann method , 2017 .

[22]  Ioan Pop,et al.  Analysis of Entropy Generation in Natural Convection of Nanofluid inside a Square Cavity Having Hot Solid Block: Tiwari and Das' Model , 2015, Entropy.

[23]  Taza Gul,et al.  Impact of Thermal Radiation and Heat Source/Sink on Eyring–Powell Fluid Flow over an Unsteady Oscillatory Porous Stretching Surface , 2018 .

[24]  Guanshui Xu,et al.  The Effects of Perforation Erosion on Practical Hydraulic-Fracturing Applications , 2017 .

[25]  Zahir Shah,et al.  Darcy–Forchheimer flow of micropolar nanofluid between two plates in the rotating frame with non-uniform heat generation/absorption , 2018, Advances in Mechanical Engineering.

[26]  Xian Zhang,et al.  A NOVEL FRACTAL MODEL FOR RELATIVE PERMEABILITY OF GAS DIFFUSION LAYER IN PROTON EXCHANGE MEMBRANE FUEL CELL WITH CAPILLARY PRESSURE EFFECT , 2019, Fractals.

[27]  Tasawar Hayat,et al.  Entropy generation optimization and unsteady squeezing flow of viscous fluid with five different shapes of nanoparticles , 2018, Colloids and Surfaces A: Physicochemical and Engineering Aspects.

[28]  Zahir Shah,et al.  Darcy-Forchheimer flow of radiative carbon nanotubes with microstructure and inertial characteristics in the rotating frame , 2018, Case Studies in Thermal Engineering.

[29]  Zahir Shah,et al.  Darcy-Forchheimer flow of MHD nanofluid thin film flow with Joule dissipation and Navier’s partial slip , 2018, Journal of Physics Communications.

[30]  M. G. Timol,et al.  Numerical treatment of Powell--Eyring fluid flow using Method of Satisfaction of Asymptotic Boundary Conditions (MSABC) , 2009 .

[31]  Zahir Shah,et al.  The Combined Magneto Hydrodynamic and Electric Field Effect on an Unsteady Maxwell Nanofluid Flow over a Stretching Surface under the Influence of Variable Heat and Thermal Radiation , 2018 .

[32]  S. Liao.  An explicit, totally analytic approximate solution for Blasius’ viscous flow problems , 1999 .

[33]  Mudassar Jalil,et al.  Self similar solutions for the flow and heat transfer of Powell-Eyring fluid over a moving surface in a parallel free stream , 2013 .

[34]  Yufeng Nie,et al.  Three-Dimensional Nanofluid Flow with Heat and Mass Transfer Analysis over a Linear Stretching Surface with Convective Boundary Conditions , 2018, Applied Sciences.

[35]  Gohar Ali,et al.  Entropy Generation on Nanofluid Thin Film Flow of Eyring–Powell Fluid with Thermal Radiation and MHD Effect on an Unsteady Porous Stretching Sheet , 2018, Entropy.

[36]  Wei Wang,et al.  OPTIMIZATION OF THE FRACTAL-LIKE ARCHITECTURE OF POROUS FIBROUS MATERIALS RELATED TO PERMEABILITY, DIFFUSIVITY AND THERMAL CONDUCTIVITY , 2017 .

[37]  Wei Wang,et al.  A FRACTAL MODEL FOR WATER FLOW THROUGH UNSATURATED POROUS ROCKS , 2018 .

[38]  Saeid Abbasbandy,et al.  Entropy Generation Analysis for Stagnation Point Flow in a Porous Medium over a Permeable Stretching Surface , 2015 .

[39]  Kuppalapalle Vajravelu,et al.  A study on entropy generation on thin film flow over an unsteady stretching sheet under the influence of magnetic field, thermocapillarity, thermal radiation and internal heat generation/absorption , 2017 .

[40]  Mohammad Dehsara,et al.  Entropy analysis for magnetohydrodynamic flow and heat transfer of a Jeffrey nanofluid over a stretching sheet , 2015 .