The assessment of the Darcy–Forchheimer flow of magnetohydrodynamic Williamson nanofluid with entropy optimization is the main purpose of this article. This study was carried out to analyze the impacts on fluid flow via a stratified plate. The impacts of viscous dissipation, chemical reaction, and Joule heating are examined in the existence of nonlinear thermal radiation. The framework of partial differential expressions is transformed into ordinary differential equations by utilizing a suitable set of similarity transformations. The obtained differential equations are analytically tackled by the homotopy analysis approach. -curves, table of convergence, and graphical outcomes are displayed and examined by using MATHEMATICA software. A distinctive parameter chart, against the profiles of temperature, velocity, and concentration with relevant discussion is portrayed for emphasizing their physical importance. Through graphical representations, the Sherwood number, the coefficient of skin friction, local Nussel1t number, and entropy generation impact are examined. This kind of study is useful in many industries like solar engineering, polymer extrusion, electronic supplies, biomedical, etc.
ChenSHanHLiu Z,et al.Analysis of entropy generation in non-premixed hydrogen versus heated air counter-flow combustion. Int J Hydrog Energy2010; 35: 4736–4746.
2.
BaagSMishraSRDash GC,et al.Entropy generation analysis for viscoelastic MHD flow over a stretching sheet embedded in a porous medium. Ain Shams Eng J2017; 8: 623–632.
3.
QayyumSHayyatTKhan MI,et al.Optimization of entropy generation and dissipative nonlinear radiative Von kamran’s swirling flow with soret and dufour effects. J Mol Liq2018; 262: 261–274.
4.
HosseinzadehKHAsadiAMogharrebiAR,et al.Entropy generation analysis of (CH2OH)2 containing CNTs nanofluid flow under effect of MHD and thermal radiation. Case Stud Ther Eng2019; 14: 100482.
5.
LiuYJianYTamW. Entropy generation of EMHD flow in a curved rectangular microchannel. Int J Heat Mass Transf2018; 127: 901–913.
6.
SulemanMRamzanMZulfiqarM,et al.Entropy analysis of 3D non-newtonian MHD nanofluid flow with nonlinear thermal radiation past over exponential stretched surface. Entropy2018; 20: 930.
7.
RanjitNKShitGCTripathiD. Entropy generation and Joule heating of two layered electroosmotic flow in the peristaltically induced micro-channel. Int J Mech Sci2019; 154: 430–444.
8.
HosseiniSRSheikholeslamiM. Investigation of the nanofluid convective flow and entropy generation within a microchannel heat sink involving magnetic field. Powder Technol2019; 351: 195–202.
9.
NoreenSUl AinQ. Entropy generation analysis on electroosmotic flow in non-Darcy porous medium via peristaltic pumping. J Ther Anal Calorimetry2019; 137: 1991–2006.
10.
MamouriARKhoshnevisABLakzianE. Entropy generation analysis of S825, S822, and SD7062 offshore wind turbine airfoil geometries. Ocean Eng2019; 173: 700–715.
11.
LakzianEEstiriA. Entropy generation analysis as design criteria in dam-break flows for non-Newtonian fluids. Eur Phys J Plus2018; 133: 454.
12.
VatanmakanMLakzianEMahpeykarMR. Investigating the entropy generation in condensing steam flow in turbine blades with volumetric heating. Energy2018; 147: 701–714.
13.
NazeryanMLakzianE. Detailed entropy generation analysis of a wells turbine using the variation of the blade thickness. Energy2018; 143: 385–405.
14.
Abu-LibdehNRedouaneFAissaA,et al.Hydrothermal and entropy investigation of Ag/MgO/H2O hybrid nanofluid natural convection in a novel shape of porous cavity. Appl Sci2021; 11: 1722.
15.
AzizAJamshedWAzizT,et al.Entropy analysis of powell-eyring hybrid nanofluid including effect of linear thermal radiation and viscous dissipation. J Ther Anal Calorimetry2021; 143: 1331–1343.
16.
LiXFengYLiuB,et al.Influence of Nbc particles on microstructure and mechanical properties of AlCOCrFeNi high-entropy alloy coatings prepared by laser cladding. J. Alloys Compd2019; 788: 485–494.
17.
MirzaeeMLakzianE. Entropy generation analysis of eccentric cylinders pair sources on nanofluid natural convection with non-Boussinesq state. Adv Powder Tech2017; 28: 3172–3183.
18.
LotfiALakzianE. Entropy generation analysis for film boiling: a simple model of quenching. Eur Phys J Plus2016; 131: 123.
19.
LakzianEMasjediA. Slip effects on the exergy loss due to irreversible heat transfer in a condensing flow. Int J Exergy2014; 14: 22–37.
20.
AzizAJamshedWAliY,et al.Heat transfer and entropy analysis of Maxwell hybrid nanofluid including effects of inclined magnetic field, Joule heating and thermal radiation. Discrete & Continuous Dyn Syst-S2020; 13: 2667–2690.
21.
ChoiSUS. Enhancing thermal conductivity of fluids with nanoparticles. SiginerDAWangHP (Eds.), ASME, San Francisco, 1995; 66: 99–105.
22.
GangulySSarkarSHota TK,et al.Thermally developing combined electroosmotic and pressure-driven flow of nanofluids in a microchannel under the effect of magneticfield. Chem Engnr Sci2015; 126: 10–21.
23.
IbanezGLopezAPantoja J,et al.Entropy generation analysis of a nanofluid flow in MHD porous microchannel with hydrodynamic slip and thermal radiation. Int J Heat Mass Trans2016; 100: 89–97.
24.
DogonchiASAlizadehMGanjiDD. Investigation of MHD Go-water nanofluid flow and heat transfer in a porous channel in the presence of thermal radiation effect. Adv Powder Tech2017; 28: 1815–1825.
25.
IqbalZAkbarNSAzhar E,et al.Performance of hybrid nanofluid (Cu-CuO/water) on MHD rotating transport in oscillating vertical channel inspired by Hall current and thermal radiation. Alexandria Eng J2018; 57: 1943–1954.
26.
SheikholeslamiMShehzadSALiZ. Nanofluid heat transfer intensification in a permeable channel due to magnetic field using lattice Boltzmann method. Phys B: Condensed Matter2018; 542: 51–58.
27.
AkramSRaziaAAfzalF. Effects of velocity second slip model and induced magnetic field on peristaltic transport of non-Newtonian fluid in the presence of double-diffusivity convection in nanofluids. Arch Appl Mech2020; 90: 1583–1603.
28.
JamshedW. Numerical investigation of MHD impact on Maxwell nanofluid. Int Commun Heat Mass Trans2021; 120: 104973.
29.
MukhtarTJamshedWAziz A,et al.Computational investigation of heat transfer in a flow subjected to magnetohydrodynamic of Maxwell nanofluid over a stretched flat sheet with thermal radiation. Numer Methods Partial Diff Eq2020; 1–21.
30.
NadeemSRiaz KhanMKhanAU. MHD Stagnation point flow of viscous nanofluid over a curved surface. Phys Scr2019; 94: 115207. https://doi.org/10.1088/1402-4896/ab1eb6
31.
LiXKhanAURiaz KhanM,et al.Oblique stagnation point flow of nanofluids over stretching/shrinking sheet with cattaneo-christov heat flux model: existence of dual solution. Symmetry (Basel)2019; 11: 1070.
32.
WangPZhangXDuanW,et al.Superhydrophobic flexible supercapacitors formed by integrating hydrogel with functional carbon nanomaterials. Chin J Chem2020; 39: 1153–1158. https://doi.org/10.1002/cjoc.201900XXX
33.
MirzaieMLakzianeE. Natural convection of Cu-water nanofluid near water density inversion in horizontal annulus with different arrangements of discrete heat source/sink pair. Adv Powder Tech2016; 27: 1337–1346.
34.
JamshedWNisarKS. Computational single-phase comparative study of a Williamson nanofluid in a parabolic trough solar collector via the Keller box method. Int J Energy Res2021; 45: 10696–10718. https://doi.org/10.1002/er.6554
35.
Al-KouzWSwainKMahantheshB,et al.Significance of exponential space-based heat source and inclined magnetic field on heat transfer of hybrid nanoliquid with homogeneous/heterogeneous chemical reactions. Heat Trans2021; 50: 4086–4102. https://doi.org/10.1002/htj.22065
36.
JamshedWKumarVKumarV. Computational examination of casson nanofluid due to a non-linear stretching sheet subjected to particle shape factor: tiwari and Das model. Numer Methods Partial Diff. Eq2020; 1–28. https://doi.org/10.1002/num.22705
37.
JamshedWAl-KouzWMohd NasirNAA. Computational single phase comparative study of inclined MHD in a powell-eyring nanofluid. Heat Trans2021; 50: 3879–3912. https://doi.org/10.1002/htj.22056)
38.
MansouraMAEl-AnssaryNFAlyAM. Effects of chemical reaction and thermal stratification on MHD free convective heat and mass transfer over a vertical stretching surface embedded in a porous media considering Soret and Dufour numbers. Chem Engr J2008; 145: 340–345.
39.
ChengCY. Double-diffusive natural convection along a vertical wavy truncated cone in non-Newtonian fluid saturated porous media with thermal and mass stratification. Int Commn Heat and Mass Trans2008; 35: 985–990.
40.
KandasamyRMuhaiminIMohamadR. Thermophoresis and Brownian motion effects on MHD boundary-layer flow of a nanofluid in the presence of thermal stratification due to solar radiation. Int J Mech Sci2013; 70: 146–154.
41.
OmowayeAJAnimasaunIL. Upper-convected Maxwell fluid flow with variable thermo-physical properties over a melting surface situated in hot environment subject to thermal stratification. J Appl Fluid Mech2016; 9: 1777–1790.
42.
KhanMIWaqasMHayat T,et al.Behavior of stratification phenomenon in flow of Maxwell nanomaterial with motile gyrotactic microorganisms in the presence of magnetic field. Int J Mech Sci2017; 131–132: 426–434.
43.
KhanMSalahuddinTMalik MY,et al.Change in viscosity of Williamson nanofluid flow due to thermal and solutal stratification. Int J Heat Mass Trans2018; 126: 941–948.
44.
RamzanMBilalMChungJD. Radiative Williamson nanofluid flow over a convectively heated Riga plate with chemical reaction-A numerical approach. Chinese J Phy2017; 55: 1663–1673.
45.
BilalMNazeerM. Numerical analysis for the non-Newtonian flow over stratified stretching/shrinking inclined sheet with the aligned magnetic field and nonlinear convection. Arch Appl Mech2021; 91: 949–964.
46.
KhanMIQayyumSHayatT,et al.Entropy optimization in flow of Williamson nanofluid in the presence of chemical reaction and Joule heating. Int J Heat Mass Trans2019; 133: 959–967.
Supplementary Material
Please find the following supplemental material available below.
For Open Access articles published under a Creative Commons License, all supplemental material carries the same license as the article it is associated with.
For non-Open Access articles published, all supplemental material carries a non-exclusive license, and permission requests for re-use of supplemental material or any part of supplemental material shall be sent directly to the copyright owner as specified in the copyright notice associated with the article.
