Abstract
In order to meet the current challenges in the fabrication of nanobiomaterials and enhancement of thermal extrusion systems, current theoretical continuation is targeted at the rheology of couple stress nanofluid by exploiting activation energy, porous media, thermal radiation, gyrotactic micro-organisms, and convective Nield boundary conditions. The heat and mass performances of nanofluid are captured with an evaluation of the famous Buongiorno model, which enables us to determine the attractive features of Brownian motion and thermophoretic diffusion. The couple stress fluid is beneficial to examine multiple kinds of physical problems because this fluid model has the capability to describe the rheology of various complex fluids, e. g., fluids having long-chain molecules as a polymeric suspension, liquid crystals, lubricants, and human and animal blood. Simultaneous behavior of the magnetic field and porosity are studied with thermal radiation effects. The distribution of velocity has been conducted by using second-order velocity slip (Wu’s slip) and activation energy features. For the dimensionless purpose, the similarity variable has been initiated, and the modeled equations are renovated sufficiently. A famous shooting method is used to determine the numerical solutions, and accurate results have been obtained. A variety of critical flow parameters is graphically illustrated with physical significance.
References
[1] M. Marin, D. Baleanu and S. Vlase, Effect of microtemperatures for micropolar thermoelastic bodies, Struct. Eng. Mech.61 (2017), no. 3, 381–387.10.12989/sem.2017.61.3.381Search in Google Scholar
[2] M. Marin and E. M. Craciun, Uniqueness results for a boundary value problem in dipolar thermoelasticity to model composite materials, Composites, Part B, Eng.126 (2017), 27–37.10.1016/j.compositesb.2017.05.063Search in Google Scholar
[3] I. Mohamed, A. Othman and M. Marin, Effect of thermal loading due to laser pulse on thermoelastic porous medium under G-N theory, Results Phys.7 (2017), 3863–3872.10.1016/j.rinp.2017.10.012Search in Google Scholar
[4] S. U. S. Choi and J. Estman, Enhancing thermal conductivity of fluids with nanoparticles, in: Developments and Applications of Non-Newtonian Flows 231, ASME, New York (1995), 99–106.Search in Google Scholar
[5] J. Buongiorno, Convective transport in nanofluids, J. Heat Transf.128 (2006), 240–250.10.1115/1.2150834Search in Google Scholar
[6] M. M. Rashidi, N. Freidoonimehr, A. Hosseini, O. A. Beg and T. K. Hung, Homotopy simulation of nanofluid dynamics from a non-linearly stretching isothermal permeable sheet with transpiration, Meccanica49 (2014), 469–482.10.1007/s11012-013-9805-9Search in Google Scholar
[7] M. Sheikholeslami and M. M. Bhatti, Forced convection of nanofluid in presence of constant magnetic field considering shape effects of nanoparticles, Int. J. Heat Mass Transf.111 (2017), 1039–1049.10.1016/j.ijheatmasstransfer.2017.04.070Search in Google Scholar
[8] K. L. Hsiao, Micropolar nanofluid flow with MHD and viscous dissipation effects towards a stretching sheet with multimedia feature, Int. J. Heat Mass Transf.112 (2017), 983–990.10.1016/j.ijheatmasstransfer.2017.05.042Search in Google Scholar
[9] B. Shen, L. Zheng, C. Zhanga and X. Zhang, Bioconvection heat transfer of a nanofluid over a stretching sheet with velocity slip and temperature jump, Therm. Sci.6 (2015), 1–12.10.2298/TSCI150424128SSearch in Google Scholar
[10] W. Ibrahim, Magnetohydrodynamics (MHD) flow of a tangent hyperbolic fluid with nanoparticles past a stretching sheet with second order slip and convective boundary condition, Results Phys.7 (2017), 3723–3731.10.1016/j.rinp.2017.09.041Search in Google Scholar
[11] M. Turkyilmazoglu, Buongiorno model in a nanofluid filled asymmetric channel fulfilling zero net particle flux at the walls, Int. J. Heat Mass Transf. Part A126 (2018), 974–-979.10.1016/j.ijheatmasstransfer.2018.05.093Search in Google Scholar
[12] T. Hayat, I. Ullah, M. Waqas and A. Alsaedi, MHD stratified nanofluid flow by slandering surface, Phys. Scr.93 (2018), no. 11, 115701.10.1088/1402-4896/aae1a2Search in Google Scholar
[13] T. Hayat, M. Ijaz, S. Qayyum, M. Ayub and Ahmed Alsaedi, Mixed convective stagnation point flow of nanofluid with Darcy-Fochheimer relation and partial slip, Results Phys.9 (2018), 771–778.10.1016/j.rinp.2018.02.073Search in Google Scholar
[14] M. Turkyilmazoglu, Condensation of laminar film over curved vertical walls using single and two-phase nanofluid models, Eur. J. Mech. B, Fluids. 65 (2017), 184–191.10.1016/j.euromechflu.2017.04.007Search in Google Scholar
[15] A. V. Kuznetsov and A. A. Avramenko, Effect of small particles on the stability of bioconvection in a suspension of gyrotactic microorganisms in a layer of finite depth. Int. Communi, Heat Mass Transf.31 (2004), 1–10.10.1016/S0735-1933(03)00196-9Search in Google Scholar
[16] A. V. Kuznetsov, The onset of nanofluid bioconvection in a suspension containing both nanoparticles and gyrotactic microorganisms, Int. Commun. Heat Mass Transf.37 (2010), 1421–1425.10.1016/j.icheatmasstransfer.2010.08.015Search in Google Scholar
[17] A. V. Kuznetsov, Nanofluid bioconvection in water-based suspensions containing nanoparticles and oxytactic microorganisms: oscillatory instability, Nanoscale Res. Lett.6 (2011), 100.10.1186/1556-276X-6-100Search in Google Scholar PubMed PubMed Central
[18] M. J. Uddin, Y. Alginahi, O. A. Bég and M. N. Kabir, Numerical solutions for gyrotactic bioconvection in nanofluid-saturated porous media with Stefan blowing and multiple slip effects, Comput. Math. Appl.72 (2016), no. 10, 2562–2581.10.1016/j.camwa.2016.09.018Search in Google Scholar
[19] M. J. Uddin, W. A. Khan, S. R. Qureshi and O. A. Beg, Bioconvection nanofluid slip flow past a wavy surface with applications in nanobiofuel cells, Chin. J. Phys.55 (2017), no. 5, 2048–2063.10.1016/j.cjph.2017.08.005Search in Google Scholar
[20] C. S. K. Raju and N. Sandeep, Heat and mass transfer in MHD non-Newtonian bio-convection flow over a rotating cone/plate with cross diffusion, J. Mol. Liq.215 (2016), 115–126.10.1016/j.molliq.2015.12.058Search in Google Scholar
[21] S. U. Khan, A. Rauf, S. A. Shehzad, Z. Abbas and T. Javed, Study of bioconvection flow in Oldroyd-B nanofluid with motile organisms and effective Prandtl approach, Phys. A, Stat. Mech. Appl.527 (2019), 121179.10.1016/j.physa.2019.121179Search in Google Scholar
[22] W. A. Khan, A. M. Rashad, M. M. M. Abdou and I. Tlili, Natural bioconvection flow of a nanofluid containing gyrotactic microorganisms about a truncated cone, Eur. J. Mech. B, Fluids75 (2019), 133–142.10.1016/j.euromechflu.2019.01.002Search in Google Scholar
[23] V. K. Stokes, Couple stresses in fluids, Phys. Fluids9 (1966), 1709–-1715.10.1063/1.1761925Search in Google Scholar
[24] N. Ali, S. U. Khan, M. Sajid and Z. Abbas, MHD flow and heat transfer of couple stress fluid over an oscillatory stretching sheet with heat source/sink in porous medium, Alex. Eng. J.55 (2016), 915–924.10.1016/j.aej.2016.02.018Search in Google Scholar
[25] G. Janardhana Reddy, M. Kumar, B. Kethireddy and A. J. Chamkha, Colloidal study of unsteady magnetohydrodynamic couple stress fluid flow over an isothermal vertical flat plate with entropy heat generation, J. Mol. Liq.252 (2018), 169–179.10.1016/j.molliq.2017.12.106Search in Google Scholar
[26] E. F. El-Shehawey and K. S. Mekheimer, Couple-stresses in peristaltic transport of fluids, J. Phys. D, Appl. Phys.27 (1994), 1163.10.1088/0022-3727/27/6/014Search in Google Scholar
[27] A. Kumar, V. Sugunamma and N. Sandeep, Numerical exploration of MHD radiative Micropolar liquid flow driven by stretching sheet with primary slip: a comparative study, J. Non-Equilib. Thermodyn.44 (2019), no. 2, 101–122.10.1515/jnet-2018-0069Search in Google Scholar
[28] T. Nguyen-Thoi, M. M. Bhatti, J. A. Ali, S. M. Hamad, M. Sheikholeslami, A. Shafee, et al., Analysis on the heat storage unit through a Y-shaped fin for solidification of NEPCM, J. Mol. Liq.292 (2019), 111378.10.1016/j.molliq.2019.111378Search in Google Scholar
[29] L. Wu, A slip model for rarefied gas flows at arbitrary Knudsen number, Appl. Phys. Lett.93 (2008), 253103.10.1063/1.3052923Search in Google Scholar
[30] H. Waqas, S. U. Khan, M. Hassan, M. M. Bhatti and M. Imran, Analysis for bioconvection flow of modified second grade fluid containing gyrotactic microorganisms and nanoparticles, J. Mol. Liq.291 (October 2019), no. 1, 111231.10.1016/j.molliq.2019.111231Search in Google Scholar
[31] M. M. Nandeppanavar, K. Vajravelu, M. S. Abel and M. Siddalingappa, Second order slip flow and heat transfer over a stretching sheet with non-linear Navier boundary condition, Int. J. Therm. Sci.58 (2012), 143–150.10.1016/j.ijthermalsci.2012.02.019Search in Google Scholar
[32] S. U. Khan, H. Waqas, S. A. Shehzad and M. Imran, Theoretical analysis for tangent hyperbolic nanoparticles with combined electrical MHD, activation energy and Wu’s slip features: A mathematical model, Phys. Scr.94 (2019), no. 12, 125211.10.1088/1402-4896/ab399fSearch in Google Scholar
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