Abstract
Here, mixed convective flow of dusty nanofluid is addressed. Flow is generated by linear stretching sheet. Flow in porous space is examined. Heat transfer characteristics are studied via nonlinear thermal radiation and heat source/sink. Nanofluid comprises iron oxide nanoparticles and water embedded with micro-sized dust particles. Optimal homotopy algorithm leads to solution computations. Convergence analysis is explicitly identified and the concept of minimization is employed by defining average square residual errors. Velocity and temperature profiles are conducted. For both dust and fluid phase of dusty nanofluid, the results for varying parameters are plotted and argued in details. Magnitude of coefficient of skin friction and rate of heat transfer are discussed. It is noted that volume fraction of magnetite nanoparticles reduces for fluid and dust phases. The key observation from present study is that heat transfer rate reduces for both fluid and dust phases.
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Alshomrani AS, Irfan M, Saleem A, Khan M (2018) Chemically reactive flow and heat transfer of magnetite Oldroyd-B nanofluid subject to stratifications. Appl Nanosci 8:1743–1754
Anwar MS, Rasheed A (2017) Simulations of a fractional rate type nanofluid flow with non-integer Caputo time derivatives. Comp Math Appl 74:2485–2502
Anwar MS, Rasheed A (2018) Joule heating in magnetic resistive flow with fractional Cattaneo-Maxwell model. J Brazilian Soc Mech Sci Eng 40:501
Awais M, Awan SE, Iqbal K, Khan ZA, Raja MAZ (2018) Hydromagnetic mixed convective flow over a wall with variable thickness and Cattaneo–Christov heat flux model: OHAM analysis. Results Phys 8:621–627
Begum N, Siddiqa S, Sulaiman M, Islam S, Hossain MA, Gorla RSR (2017) Numerical solutions for gyrotactic bioconvection of dusty nanofluid along a vertical isothermal surface. Int J Heat Mass Transf 113:229–236
Chakrabarti KM (1974) Boundary layer flow of a dusty gas. J AIAA 12:1136–1137
Choi SUS, Eastman JA (1995) Enhancing thermal conductivity of fluids with nanoparticles ASME Int. Mech Eng Cong Expo 66:99–105
Crane L (1970) Flow past a stretching plate, (ZAMP). J Appl Math Phys 21:645–647
Dadwal A, Joy PA (2018) Influence of chain length of long-chain fatty acid surfactant on the thermal conductivity of magnetite nanofluids in a magnetic field. Coll Surfaces A 555:525–531
Dutta AK (1988) Heat transfer from a stretching sheet in hydromagnetic flow. Heat Mass Transf 23:35–37
Ghadikolaei SS, Hosseinzadeh K, Hatami M, Ganji DD (2018a) MHD boundary layer analysis for micropolar dusty fluid containing Hybrid nanoparticles (Cu–Al2O3) over a porous medium. J Mol Liq 268:813–823
Ghadikolaei SS, Hosseinzadeh K, Ganji DD, Hatami M (2018b) Fe3O4-(CH2OH)2 nanofluid analysis in a porous medium under MHD radiative boundary layer and dusty fluid. J Mol Liq 258:172–185
Hayat T, Rashid M, Alsaedi A (2018a) Three dimensional radiative flow of magnetite-nanofluid with homogeneous-heterogeneous reactions. Results Phys 8:268–275
Hayat T, Rashid M, Alsaedi A, Ahmad B (2018b) Flow of nanofluid by nonlinear stretching velocity. Results Phys 8:1104–1109
Irfan M, Khan M, Khan WA, Ayaz M (2018) Modern development on the features of magnetic field and heat sink/source in Maxwell nanofluid subject to convective heat transport. Phys Lett A 382:1992–2002
Khan WA, Irfan M, Khan M, Alshomrani AS, Alzahrani AK, Alghamdi MS (2017a) Impact of chemical processes on magneto nanoparticle for the generalized Burgers fluid. J Mol Liq 234:201–208
Khan MI, Hayat T, Waqas M, Khan MI, Alsaedi A (2017b) Impact of heat generation/absorption and homogeneous-heterogeneous reactions on flow of Maxwell fluid. J Mol Liq 233:465–470
Khan WA, Irfan M, Khan M (2017c) An improved heat conduction and mass diffusion models for rotating flow of an Oldroyd-B fluid. Results Phys 7:3583–3589
Khan WA, Irfan M, Khan M, Alshomrani AS, Alzahrani AK, Alghamdi MS (2017d) Impact of chemical processes on magneto nanoparticle for the generalized Burgers fluid. J Mol Liq 234:201–208
Liao SJ (2004) On the homotopy analysis method for nonlinear problems. Appl Math Comput 147:499–513
Mahanthesh B, Gireesha BJ (2018) Thermal Marangoni convection in two-phase flow of dusty Casson fluid. Results Phys 8:537–544
Mahapatra TR, Sidui S (2019) Unsteady heat transfer in non-axisymmetric Homann stagnation-point flows towards a stretching/shrinking sheet. Eur J Mech B Fluids 75:199–208
Maxwell JC (1904) A treatise on electricity and magnetism. Cambridge Oxford Uni. Press, California
Rasheed A, Anwar MS (2018) Simulations of variable concentration aspects in a fractional nonlinear viscoelastic fluid flow. Commun Nonlinear Sci Numer Simul 65:216–230
Rasheed A, Anwar MS (2019) Interplay of chemical reacting species in a fractional viscoelastic fluid flow. J Mol Liq 273:576–588
Sharma PR, Sinha S, Yadav RS, Filippov AN (2018) MHD mixed convective stagnation point flow along a vertical stretching sheet with heat source/sink. Int J Heat Mass Transf 117:780–786
Tiwari RK, Das MK (2007) Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids. Int J Heat Mass Transf 50:2002–2018
Turkyilmazoglu M (2016) An effective approach for evaluation of the optimal convergence control parameter in the homotopy analysis method. Filomat 30:1633–1650
Upadhya SM, Mahesha CSK, Raju SA Shehzad, Abbasi FM (2018) Flow of Eyring–Powell dusty fluid in a deferment of aluminum and ferrous oxide nanoparticles with Cattaneo–Christov heat flux. Powder Tech 340:68–76
Waini I, Ishak A, Pop I (2019) Unsteady flow and heat transfer past a stretching/shrinking sheet in a hybrid nanofluid. Int J Heat Mass Transf 136:288–297
Wang R, Qian S, Zhang Z (2018) Investigation of the aggregation morphology of nanoparticle on the thermal conductivity of nanofluid by molecular dynamics simulations. Int J Heat Mass Transf 127:1138–1146
Zhu J, Wang S, Zheng L, Zhang X (2017) Heat transfer of nanofluids considering nanoparticle migration and second-order slip velocity. Appl Math Mech Eng Edu 38:125–136
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Rashid, M., Hayat, T., Alsaedi, A. et al. Flow of Fe3O4 nanofluid with dust and nanoparticles. Appl Nanosci 10, 3115–3122 (2020). https://doi.org/10.1007/s13204-019-01061-x
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DOI: https://doi.org/10.1007/s13204-019-01061-x