An unsteady mixed convectional boundary layer flow of a Casson nanofluid having magnetic (Fe3O4) and non-magnetic (Al2O3) nanoparticles suspension within two different types of base fluids, water (Newtonian) and sodium alginate (non-Newtonian), which incorporates viscous dissipation effects over a nonlinear stretching sheet with magnetic field effects. Some suitable non-dimensional similarity transformations are applied to convert the governing coupled nonlinear partial differential equations into a set of ordinary differential equations and then solved by using differential transformation method in association with Pade-approximation. A comparison has been made with already published results to assure the validity and reliability of the computational results, good agreement is found between the current and previous studies. The impacts of different physical parameters active on flow, temperature, and nanoparticle concentration have been discussed both numerically and graphically. The impact of radiation, internal heat sink/source, viscous, and ohmic dissipation was discussed for magnetic and non-magnetic nanofluid categories. We have also presented the tabular results of various emerging parameters to discuss the nature of skin friction, Nusselt, and Sherwood numbers. It was observed that performance of non-Newtonian (sodium alginate) fluid in heat and mass transfer is slightly better than Newtonian (water) based fluid but no major difference was seen in heat and mass transfer when comparison was made with magnetic and non-magnetic nanoparticles.
CassonN. A flow equation for pigment-oil suspensions of the printing ink type. Rheology of Disperse Systems. 1959.
2.
ChoiSUEastmanJA. Enhancing thermal conductivity of fluids with nanoparticles. In: Proceedings, ASME International Mechanical Engineering Congress and Exposition, San Fransisco, 1995.
3.
YihKA. Free convection effect on MHD coupled heat and mass transfer of a moving permeable vertical surface. Int Commun Heat Mass Tran1999; 26(1): 95–104.
4.
ChoiSUZhangZGYuW, et al.Anomalous thermal conductivity enhancement in nanotube suspensions. Appl Phys Lett2001; 79(14): 2252–2254.
5.
EastmanJAChoiSULiS, et al.Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticles. Appl Phys Lett. 2001; 78(6): 718–720.
6.
BuongiornoJ. Convective transport in nanofluids, J Heat Tran2006; 128: 240–250.
7.
BuongiornoJVenerusDCPrabhatN, et al.A benchmark study on the thermal conductivity of nanofluids. J Appl Phys2009; 106(9): 094312.
8.
MoonSRyuBYChoiJ, et al.The morphology and mechanical properties of sodium alginate based electrospun poly (ethylene oxide) nanofibers. Polym Eng Sci2009; 49(1): 52–59.
9.
ChamkhaAJAlyAMMansourMA. Similarity solution for unsteady heat and mass transfer from a stretching surface embedded in a porous medium with suction/injection and chemical reaction effects. Chem Eng Commun2010; 197(6): 846–858.
10.
EllahiRZeeshanAVafaiK, et al.Series solutions for magnetohydrodynamic flow of non-Newtonian nanofluid and heat transfer in coaxial porous cylinder with slip conditions. Proc Inst Mech Eng - Part N J Nanoeng Nanosyst2011; 225(3): 123–132.
11.
MotsumiTGMakindeOD. Effects of thermal radiation and viscous dissipation on boundary layer flow of nanofluids over a permeable moving flat plate. Phys Scripta2012; 86(4): 045003.
12.
KasimARMohammadNFShafieS, et al.Effect of thermal stratification on MHD free convection with heat and mass transfer over an unsteady stretching surface with heat source, Hall current and chemical reaction. Int J Adv Eng Sci Appl Mathematics2012; 4(3): 217–225.
13.
CollaLFedeleLScattoliniM, et al.Water-based Fe2O3 nanofluid characterization: thermal conductivity and viscosity measurements and correlation. Adv Mech Eng2012; 4: 674947.
14.
MukhopadhyayS. Casson fluid flow and heat transfer over a nonlinearly stretching surface. Chin Phys B2013; 22(7): 074701.
15.
MukhopadhyayS. Analysis of boundary layer flow over a porous nonlinearly stretching sheet with partial slip at the boundary. Alex Eng J. 2013; 52(4): 563–569.
16.
RamPKumarV. Swirling flow of field dependent viscous ferrofluid over a porous rotating disk with heat transfer. Int J Appl Mech2014; 6(04): 1450033.
17.
NadeemSHaqRUAkbarNS. MHD three-dimensional boundary layer flow of Casson nanofluid past a linearly stretching sheet with convective boundary condition. IEEE Trans Nanotechnol2013; 13(1): 109–115.
18.
QasimMKhanZHKhanWA, et al.MHD boundary layer slip flow and heat transfer of ferrofluid along a stretching cylinder with prescribed heat flux. PLoS One2014; 9(1): e83930.
19.
SheikholeslamiMGanjiDD. Ferrohydrodynamic and magnetohydrodynamic effects on ferrofluid flow and convective heat transfer. Energy2014; 75: 400–410.
20.
SheikholeslamiMGanjiDDRashidiMM. Ferrofluid flow and heat transfer in a semi annulus enclosure in the presence of magnetic source considering thermal radiation. J Taiwan Inst Chem Eng2015; 47:6-17.
21.
GulAKhanIShafieS, et al.Heat transfer in MHD mixed convection flow of a ferrofluid along a vertical channel. PLoS One2015; 10(11): e0141213.
22.
OyelakinISMondalSSibandaP. Unsteady Casson nanofluid flow over a stretching sheet with thermal radiation, convective and slip boundary conditions. Alex Eng J2016; 55(2): 1025–1035.
23.
NadeemSRaishadIMuhammadN, et al.Mathematical analysis of ferromagnetic fluid embedded in a porous medium. Results Phys2017; 7: 2361–2368.
24.
HakeemAASaranyaSGangaB. Comparative study on Newtonian/non-Newtonian base fluids with magnetic/non-magnetic nanoparticles over a flat plate with uniform heat flux. J Mol Liq2017; 230: 445–452.
25.
SaranyaSRagupathiPGangaB, et al.Non-linear radiation effects on magnetic/non-magnetic nanoparticles with different base fluids over a flat plate. Adv Powder Technol2018; 29(9): 1977–1990.
26.
KhanAKhanDKhanI, et al.MHD flow of sodium alginate-based Casson type nanofluid passing through a porous medium with Newtonian heating. Sci Rep2018; 8(1): 1–2.
27.
MaboodFShateyiS. Multiple slip effects on MHD unsteady flow heat and mass transfer impinging on permeable stretching sheet with radiation. Model Simulat Eng2019; 2019: 2019–2111.
28.
ChamkhaAJRashadAMAlsaberyAI, et al.Impact of partial slip on magneto-ferrofluids mixed convection flow in enclosure. J Therm Sci Eng Appl2020; 12(5): 051002.
29.
FatunmbiEOOkoyaSSMakindeOD. Convective heat transfer analysis of hydromagnetic micropolar fluid flow past an inclined nonlinear stretching sheet with variable thermo-physical properties. InDiffusion Foundations2020; 26: 63–77.
30.
RasoolGChamkhaAJMuhammadT, et al.Darcy-Forchheimer relation in Casson type MHD nanofluid flow over non-linear stretching surface. Propulsion Power Res2020; 9(2): 159–168.
31.
AlwawiFAAlkasasbehHTRashadAM, et al.MHD natural convection of Sodium Alginate Casson nanofluid over a solid sphere. Results Phys2020; 16: 102818.
32.
MathurPJhaSRamtekeS, et al.Pharmaceutical aspects of silver nanoparticles. Artif Cell Nanomed Biotechnol2018; 46(sup1): 115–126.
33.
BondeHCFojanPPopokVN. Controllable embedding of size-selected copper nanoparticles into polymer films. Plasma Process Polym2020; 17(5): 1900237.
34.
Dos SantosCAIngleAPRaiM. The emerging role of metallic nanoparticles in food. Appl Microbiol Biotechnol2020; 104(6): 2373–2383.
35.
UllahIBhattacharyyaKShafieS, et al.Unsteady MHD mixed convection slip flow of Casson fluid over nonlinearly stretching sheet embedded in a porous medium with chemical reaction, thermal radiation, heat generation/absorption and convective boundary conditions. PLoS One2016; 11(10): e0165348.
36.
UllahINisarKSShafieS, et al.Unsteady free convection flow of casson nanofluid over a nonlinear stretching sheet. IEEE Access2019; 7: 93076–93087.
37.
JabeenKMushtaqMAkramRM. A comparative study of MHD flow analysis in a porous medium by using differential transformation method and variational iteration method. J Contemp Appl Mathematics2019; 9(2): 1–5.
38.
JabeenKMushtaqMAkramRM. Analysis of MHD boundary layer flow over a non-linear stretching sheet in a porous medium using semianalytical approaches. Journal of Mathematical problems in Engineering2020; 2020(1), 1–9.
39.
JabeenKMushtaqMAkram MuntazirRM. Analysis of MHD fluids around a linearly stretching sheet in porous media with thermophoresis, radiation, and chemical reaction. Math Probl Eng2020; 2020: 2020–2114.
40.
MuntazirRMMushtaqMShahzadiS, et al.MHD nanofluid flow around a permeable stretching sheet with thermal radiation and viscous dissipation. Proc IME C J Mech Eng Sci. 2021: 236: 09544062211023094.
41.
JabeenKMushtaqMAkramRM. Suction and injection impacts on casson nanofluid with gyrotactic Microorganisms over a moving wedge. J Fluid Eng2021; 144.
42.
ShahzadUMushtaqMFaridS, et al.A numerical approach for an unsteady tangent hyperbolic nanofluid flow past a wedge in the presence of suction/injection. Math Probl Eng2021; 2021: 2021–2115.
43.
MuntazirRMMushtaqMShahzadiS, et al.Influence of chemically reacting ferromagnetic carreau nanofluid over a stretched sheet with magnetic dipole and viscous dissipation. Math Probl Eng2021; 2021: 2021–2112.
44.
MuntazirRMMushtaqMJabeenK. A numerical study of MHD carreau nanofluid flow with gyrotactic Microorganisms over a plate, wedge, and stagnation point. Math Probl Eng2021; 2021: 2021–2022.
45.
SajjadRMushtaqMFaridS, et al.Numerical simulations of magnetic dipole over a nonlinear radiative eyring–powell nanofluid considering viscous and ohmic dissipation effects. Math Probl Eng2021; 2021: 2021–2116.
46.
Abdul HalimNMohd NoorNF. Mixed convection flow of Powell–Eyring nanofluid near a stagnation point along a vertical stretching sheet. Mathematics2021; 9(4): 364.
47.
NoorNFHashimI. MHD viscous flow over a linearly stretching sheet embedded in a non-Darcian porous medium. J Porous Media2010; 13(4): 349–355.
48.
RamlyNASivasankaranSNoorNF. Zero and nonzero normal fluxes of thermal radiative boundary layer flow of nanofluid over a radially stretched surface. Sci Iran2017; 24(6): 2895–2903.
