In the current investigation a mathematical model is simplified to explore the numerical treatment for the thermal and flow behavior in a magneto hydrodynamics Casson fluid through a micro channel by taking nanoparticles. The combined effects of temperature jump, porous medium and velocity slip are incorporated. Using the dimensionless variables one can obtain the governing differential equations thereafter resolved numerically using RKF45 method. The velocity, temperature, skin friction and Nusselt number coefficient are addressed for different pertaining parameter. The upshots of the current investigation are visualized through graphically elucidation. Out comes shows that larger values of solid volume fraction decreases both velocity and temperature field. Furthermore drag coefficient is increases for increase in magnetic parameter, also hybrid nanofluid gives more impact than nanofluid.
MaxwellJC.Electricity and magnetism. Oxford: Clarendon Press, 1873.
2.
ChoiSUSEastmanJA. Enhancing thermal conductivity of fluids with nanoparticles. In: ASME international mechanical engineering Congress & exposition, San Francisco, CA, USA, 12-17 November 1995, pp.12–17.
3.
HosseiniSMSafaeiMRGoodarziM, et al. New temperature, inter facial shell dependent dimensionless model for thermal conductivity of nanofluids. Int J Heat Mass Transfer2017; 114: 207–210.
4.
Abbasian AraniAAAkbariOASafaeiMR, et al. Heat transfer improvement of water/single-wall carbon nanotubes (SWCNT) nanofluid in novel design of a truncated double-layered micro channel heat sink. Int J Heat Mass Transfer2017; 113: 780–795.
5.
RahmanMMAl-LawatiaMAEltayebIA, et al. Hydro magnetic slip flow of water based nanofluids past a wedge with convective surface in the presence of heat generation or absorption. Int J Therm Sci2012; 57: 172–182.
6.
MominGG.Experimental investigation of mixed convection with water- & hybrid nanofluid in inclined tube for laminar flow. Int J Sci Technol Res2013; 2: 195–202.
7.
SureshSVenkitarajKSelvakumarP, et al. Synthesis of -/ water hybrid nanofluids using two step method and its thermo physical properties. Colloids Surf A2011; 388: 41–48.
8.
SureshSVenkitarajKSelvakumarP, et al. Effect - / water hybrid nanofluid in heat transfer. Exp Therm Fluid Sci2012; 38: 54–60.
9.
RameshGKShehzadSATliliI.Hybrid nanomaterial flow and heat transport in a stretchable convergent/divergent channel: a Darcy-Forchheimer model. Appl Math Mech Engl Ed2020; 41: 699–710.
10.
RameshGKShehzadSAIzadiM.Thermal transport of hybrid liquid over thin needle with heat sink/source and Darcy–Forchheimer porous medium aspects. Arab J Sci Eng2020; 45: 9569–9578.
11.
DasSJanaRNMakindeOD.MHD flow of Cu-Al2O3/water hybrid nanofluid in porous channel: analysis of entropy generation. DDF2017; 377: 42–61.
12.
XieGChenZSundenB, et al. Comparative study of flow and thermal performance of liquid-cooling parallel-flow and counter-flow double-layer wavy micro channel heat sinks. Numer Heat Transfer Part A2013; 64: 30–55.
13.
XieGChenZSundenB, et al. Numerical predictions of flow and thermal performance of water-cooled single-layer and double-layer wavy micro channel heat sinks. Numer Heat Transfer Part A2013; 63: 201–225.
14.
XieGLiuYSundenB, et al. Computational of laminar heat transfer and pressure loss of double-layer micro channel for chip liquid cooling. J Therm Sci Eng Appl2013; 5: 011004, 9 p.
15.
HungT-CYanW-MWangX-D, et al. Optimal design of geometric parameters of double-layered micro channel heat sinks. Int J Heat Mass Transfer2012; 55: 3262–3272.
16.
SharmaDGargHSinghPP, et al. Numerical study on the performance of double layer micro channel with liquid gallium and water. Adv Mech Eng2013; 5: 324578.
17.
LengCWangX-DWangT-H, et al. Optimization of thermal resistance and bottom wall temperature uniformity for double-layered micro channel heat sink. Energy Convers Manage2015; 93: 141–150.
18.
AlipourHKarimipourASafaeiMR, et al. Influence of t-semi attached rib on turbulent flow and heat transfer parameter of a silver-water nanofluid with different volume fraction in a three-dimensional trapezoidal micro channel. Physica E2017; 88: 60–76.
19.
TuckermanDBPeaseRFW.High-performance heat sinking or VLSI. IEEE Electron Device Lett1981; 2: 126–129.
20.
EsfeMHAfrandMYanWM.Effects of temperature and concentration on rheological behavior of MWCNTs/ (20–80)-SAE40 hybrid nano-lubricant. Int Commun Heat Mass Transfer2016; 76: 133–138.
21.
AsadiMAsadiA.Dynamic viscosity of MWCNT/-engine oil hybrid nanofluid: an experimental investigation and new correlation in different temperatures and solid concentrations. Int Commun Heat Mass Transfer2016; 76: 41–45.
22.
TiwariAKGhoshPSarkarJ.Particle concentration levels of various nanofluids in plate heat ex changer for best performance. Int J Heat Mass Transfer2015; 89: 1110–1118.
23.
NikkhahZKarimipourASafaeiMR, et al. Forced convective heat transfer of water/functionalized multi-walled carbon nanotube nanofluids in a micro channel with oscillating heat flux and slip boundary condition. Int Commun Heat Mass Transfer2015; 68: 69–77.
24.
NimmagaddaRVenkatasubbaiahK.Experimental and multiphase analysis of nanofluids on the conjugate performance of micro-channel at low Reynolds numbers. Heat Mass Transfer2017; 53: 2099–2115.
25.
NimmagaddaRVenkatasubbaiahK.Two-phase analysis on the conjugate heat transfer performance of micro channel with , , SWCNT, and hybrid nanofluid. J Therm Sci Eng Appl2017; 9: 041011, 10 p.
26.
KarimiNMahmoudiYMazaheriK.Temperature fields in a channel partially filled with a porous material under local thermal non-equilibrium condition – an exact solution. Proc IMechE, Part C: J Mechanical Engineering Science2014; 228: 2778–2789.
27.
NgCO.Combined pressure-driven and electro osmotic flow of Casson fluid through a slit micro channel. J Non-Newtonian Fluid Mech2013; 198: 1–9.
28.
PassosADChatzieleftheriouVAMouzaAA, et al. Casson fluid flow in a micro channel containing a flow disturbing rib. Chem Eng Sci2016; 148: 229–237.
29.
Jasmine BenazirASivarajRMakindeOD.Unsteady magneto hydrodynamics Casson fluid flow over a vertical cone and flat plate with non-uniform heat source/sink. JERA2015; 21: 69–83.
30.
IbrahimWMakindeOD.Magneto hydrodynamic stagnation point flow and heat transfer of Casson nanofluid past a stretching sheet with slip and convective boundary condition. J Aerosp Eng2016; 29: 04015037–04015011.
31.
RameshGKGireeshaBJShehzadSA, et al. Analysis of heat transfer phenomenon in magnetohydrodynamic Casson fluid flow through Cattaneo–Christov heat diffusion theory. Commun Theor Phys2017; 68: 91.
32.
MakindeODEegunjobiAS.Entropy analysis of thermally radiating magneto hydrodynamic slip flow of Casson fluid in a micro channel filled with saturate porous media. J Porous Media2016; 19: 799–810.
33.
EegunjobiASMakindeOD.MHD mixed convection slip flow of radiating Casson fluid with entropy generation in a channel filled with porous media. DDF2017; 374: 47–66.
34.
AlizadehRGomariSRAlizadehA, et al. Combined heat and mass transfer and thermodynamic irreversibilities in the stagnation-point flow of Casson rheological fluid over a cylinder with catalytic reactions and inside a porous medium under local thermal nonequilibrium. Comput Math Appl2021; 81: 786–810.
35.
DasSJanaRN.Entropy generation in MHD porous channel flow under constant pressure gradient. J Appl Math Phys2013; 3: 77–89.
36.
Jamshed W and Aziz A. Cattaneo -Christov based study of TiO2 -CuO/EG Casson hybrid nanofluid flow over a stretching surface with entropy generation. Applied Nanoscience 2018; 8: 685–698.
