This study explores the magneto hydrodynamic Carreau fluid in the interruption of titanium alloy nanoparticles with heat generation and porosity. The simulation is performed by combination of titanium alloy nanoparticles into base water. Titanium is strong and light in weight and sit is used in military and aerospace, in bio science it is used as anti-microbial, anti-biotic, and anti-fungal agents. The arising set of partial differential equations (P.D.E) are converted into set of ordinary differential equation (O.D.E) using suitable similarity transformation and then solved by the help of Runge–Kutta with shooting method technique. The computational results for non-dimensional temperature and velocity are presented with graphs. We analyzed the numerical values of physical quantities (friction factor and local Nusselt number) for various values physical parameters and they are presented in tables. We also compared the current result with existing result under some limited cases. At end of our analysis we notified that the temperature profiles are enriched with increasing values of heat generation and porosity parameter.
AbelM.S. and MaheshaN., Heat transfer in MHD viscoelastic fluid flow over a stretching sheet with variable thermal conductivity, non-uniform heat source and radiation, Applied Mathematical Modeling32 (2008), 1965–1983. doi:10.1016/j.apm.2007.06.038.
2.
AnderssonH.I., AarsethJ.B. and DandapatS.B, Heat transfer in liquid film on unsteady stretching surface, International Journal of Thermal Sciences47(6) (2008), 766–772. doi:10.1016/j.ijthermalsci.2007.06.001.
3.
AttiaH.A., Unsteady MHD flow and heat transfer of dusty fluid between parallel plates with variable physical properties, Applied Mathematical Modelling26(9) (2002), 863–875. doi:10.1016/S0307-904X(02)00049-5.
4.
DasS.K., Nanofluids for heat transfer: An analysis of thermo physical properties, IOSR Journal of Applied Physics.7(5) (2015), 34–40.
5.
ElbashbeshyE.M.A. and BazidM.A.A., Heat transfer over an unsteady stretching surface, Heat and Mass Transfer41(1) (2004), 1–4. doi:10.1007/s00231-004-0520-x.
6.
GireeshaB.J., Mahesha, RameshaG.K. and BagewadiC.S., Unsteady flow of a dusty fluid through a channel having triangular cross-section in Frenet frame field system, Acta Universitatis Apulensis23 (2011), 53–75.
7.
IshakA., NazarR. and PopI., Uniform suction/blowing effect on flow and heat transfer due to a stretching cylinder, Applied Mathematical Modelling32 (2008), 2059–2066. doi:10.1016/j.apm.2007.06.036.
8.
KhalidA., KhanI., KhanA. and ShafiS., Unsteady MHD free convection flow of Casson fluid past over an oscillating vertical plate embedded in a porous medium, Engineering Science and Technology, an International Journal18 (2015), 309–317. doi:10.1016/j.jestch.2014.12.006.
9.
KhanM., Hashim and AlshomraniA.S., MHD Stagnation-Point Flow of a Carreau Fluid and Heat Transfer in the Presence of Convective Boundary Conditions, 110.1371/journal.pone.0157180.
10.
KrishnamurthyM.R., GireeshaB.J., GorlaR.S.R. and PrasannakumaraB.C., Suspended particle effect on slip flow and melting heat transfer of nanofluid over a stretching sheet embedded in a porous medium in the presence of nonlinear thermal radiation, J. Nanofluids.5(4) (2016), 502–510. doi:10.1166/jon.2016.1247.
11.
KumarJ.P., UmavathiJ.C., GireeshaB.J. and PrasadK., Mixed convective flow in a vertical double passage channel filled with nanofluid using Robin boundary conditions, Journal of Nano fluid.5(4) (2016), 549–559.
12.
KumarR.K., VarmaS.V.K., RajuC.S.K., IbrahimS.M., LorenziniG. and LorenziniE., Magnetohydrodynamic 3D slip flow in a suspension of carbon nanotubes over a slendering sheet with heat source/sink, Continuum Mechanics and Thermodynamics29(3) (2017), 835–851. doi:10.1007/s00161-017-0563-0.
13.
MamathaS.U., Mahesha and RajuC.S.K., Cattaneo–Christov on heat and mass transfer of unsteady Eyring Powell dusty nanofluid over sheet with heat and mass flux conditions, Informatics in Medicine Unlocked9 (2017), 76–85. doi:10.1016/j.imu.2017.06.001.
14.
MandalI.C. and MukhopadhyayS., Heat transfer analysis for fluid flow over an exponentially stretching porous sheet with surface heat flux in porous medium, Ain Shams Engineering Journal4(1) (2013), 103–110. doi:10.1016/j.asej.2012.06.004.
15.
NagendrammaV., LeelarathnamA., RajuC.S.K., ShehzadS.A. and HussainT., Doubly stratified MHD tangent hyperbolic nanofluid flow due to permeable stretched cylinder, Results in Physics9 (2018), 23–32. doi:10.1016/j.rinp.2018.02.019.
16.
NarahariM., RajuS.K. and PendyalaR., Unsteady natural convecti-on flow of multi-phase nanofluid past a vertical plate with constant heat flux, Chemical Engineering Science167 (2017), 229–241. doi:10.1016/j.ces.2017.04.019.
17.
PrakashJ., PrasadP.D., Kiran KumarR.V.M.S.S. and VarmaS.V.K., Diffusion-thermo effects on MHD free convective radiative and chemically reactive boundary layer flow through a porous medium over a vertical plate, Journal of Computational & Applied Research in Mechanical Engineering5 (2016), 111–126.
18.
PrakashJ., PrasadP.D., KumarG.V., Kiran KumarR.V.M.S.S. and VarmaS.V.K., Heat and mass transfer hydromagnetic radiative Casson fluid flow over an exponentially stretching sheet with heat source/sink, International Journal of Engineering Science Invention5 (2016), 12–23.
19.
PramanikS., Casson fluid flow and heat transfer past an exponentially porous stretching surface in presence of thermal radiation, Ain Shams Engineering Journal5(1) (2014), 205–212. doi:10.1016/j.asej.2013.05.003.
20.
RajuC.S.K., PriyadarshiniP. and IbrahimS.M., Multiple slip and cross diffusion on MHD Carreau–Casson fluid over a slendering sheet with non-uniform heat source/sink, Int. J. Appl. Comput. Math.3(Suppl. 1) (2017), 203–224. doi:10.1007/s40819-017-0351-3.
21.
RajuC.S.K. and SandeepN., Unsteady three-dimensional flow of Casson–Carreau fluids past a stretching surface, Alexandria Engineering Journal55(2) (2016), 1115–1126. doi:10.1016/j.aej.2016.03.023.
22.
RajuC.S.K. and SandeepN., Unsteady Casson nanofluid flow over a rotating cone in a rotating frame filled with ferrous nanoparticles, Journal of Magnetism and Magnetic Materials4 (2017), 216–224. doi:10.1016/j.jmmm.2016.08.013.
23.
RudraswamyN.G. and GireeshaB.J., Influence of chemical reaction and thermal radiation on M.H.D. Boundary layer flow and heat transfer of a nano fluid over exponential stretching sheet, Journal of Applied Mathematics and Physics2(2) (2014), 24–32. doi:10.4236/jamp.2014.22004.
24.
RudraswamyN.G., ShehzadS.A., Ganesh KumarK. and GireeshaB.J., Journal of the Brazilian Society of Mechanical Sciences and Engineering39(12) (2017), 5037–5047. doi:10.1007/s40430-017-0897-3.
25.
SaffmanP.G., On the stability of a laminar flow of a dusty gas, Journal of Fluid Mechanics13 (1962), 120–128. doi:10.1017/S0022112062000555.
26.
SanthoshH.B., Mahesha, and RajuC.S.K., Partial slip flow of radiated carreau dusty nanofluid over exponentially stretching sheet with non-uniform heat source or sink, Journal of Nano fluid7(1) (2018), 72–81.
27.
SekharK.R., ReddyG.V., RajuC.S.K. and ShehzadS.A., Non-uniform heat source/sink and multiple slips on 3D magnetic-Casson fluid in a suspension of copper nanoparticles over a porous slendering sheet, Journal of Nanofluids7(3) (2018), 469–477. doi:10.1166/jon.2018.1471.
28.
SethG.S., SharmaR. and KumbhakarB., Heat and mass transfer effects on unsteady MHD natural convection flow of a chemically reactive and radiating fluid through a porous medium past a moving vertical plate with arbitrary ramped temperature, Journal of fluid Mechanics9(1) (2016), 103–117. doi:10.18869/acadpub.jafm.68.224.23961.
29.
ShateyiS. and MotsaS.S., Thermal radiation effects on heat and mass transfer over an unsteady stretching surface, Mathematical Problems in Engineering2009 (2009), 965603. doi:10.1155/2009/965603.
30.
SheikholeslamiM. and ShehzadS.A., Thermal radiation of ferrofluid in existence of Lorentz forces considering variable viscosity, International Journal of Heat and Mass Transfer109 (2017), 82–92. doi:10.1016/j.ijheatmasstransfer.2017.01.096.
31.
SheikholeslamiM. and ShehzadS.A., Magnetohydrodynamic nanofluid convection in a porous enclosure considering heat flux boundary condition, International Journal of Heat and Mass Transfer106 (2017), 1261–1269. doi:10.1016/j.ijheatmasstransfer.2016.10.107.
