Skip to main content
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
N. Bachok and A. Ishak, “Flow and heat transfer over a stretching cylinder with prescribed surface heat flux,” Malaysian Journal of Mathematical Sciences 4, 159169 (2010).
J. Stasiak, A. M. Squires, V. Castelletto, I. W. Hamley, and G. D. Moggridge, “Effect of stretching on the structure of cylinder- and sphere-forming Styrene-Isoprene-Styrene block copolymers,” Macromolecules 42, 52565265 (2009).
S. Thomas and W. Yang (eds.), Advances in Polymer Processing: From Macro- To Nano-Scales (Elsevier, USA, 2009).
W.A. Khan and I. Pop, “Boundary-layer flow of a nanofluid past a stretching sheet,” Int. J. Heat Mass transf. 53(11–12), 2477-2483 (2010).
M. K. Partha, P.V.S.N. Murthy, and G.P. Rajasekhar, “Effect of viscous dissipation on the mixed convection heat transfer from an exponentially stretching surface,” Heat and Mass Transf 41, 360-366 (2005).
A. Ishak, R. Nazar, and I. Pop, “Mixed convection on the stagnation point flow toward a vertical, continuously stretching sheet,” ASME J. Heat Transf 129, 10871090 (2007).
O. A. Bég, A. Y. Bakier, and V. R. Prasad, “Numerical study of free convection magnetohydrodynamic heat and mass transfer from a stretching surface to a saturated porous medium with Soret and Dufour effects,” Computational Materials Sci 46, 57-65 (2009).
J. E. Daskalakis, “Free Convection effects in the boundary layer along a vertically stretching flat surface,” Canadian J. Phy 70, 1253 (1993).
M. Y. Akl, “Unsteady boundary layer flow along a stretching cylinder an analytical solution,” J. Mathematics and Statistics 10, 117 (2014).
O. A. Bég, U. S. Mahabaleshwar, M. M. Rashidi, N. Rahimzadeh, J-L Curiel Sosa, Ioannis Sarris, and N. Laraqi, “Homotopy analysis of magneto-hydrodynamic convection flow in manufacture of a viscoelastic fabric for space applications,” Int. J. Appl. Maths. Mech 10, 9-49 (2014).
S. U S. and Choi, “Enhancing thermal conductivity of fluids with nanoparticles,” in Proc. 1995 ASME International Mechanical Engineering Congress and Exposition, San Francisco, USA, ASME, FED 231/MD (1995), Vol.66, pp. 99105.
Y. Li, S. Tung, E. Schneider, and S. Xi, “A review on development of nanofluid preparation and characterization,” Powder Tech 196, 89-101 (2009).
J. Buongiorno, “Convective transport in nanofluids,” ASME J. Heat Transf 128, 240250 (2006).
S. K. Das, S. U. Choi, W. Yu, and T. Pradeep, Nanofluids: Science and Technology (John Wiley and Sons, 2007).
S. Kakac and A. Pramuanjaroenkij, “Review of convective heat transfer enhancement with nanofluids,” Int. J. Heat and Mass Transf 52, 3187-3196 (2009).
R. Saidur, K. Y. Leong, and H. A. Mohammad, “A review on applications and challenges of nanofluids,” Renew. and Sus. Energy Rev 15, 1646-1668 (2011).
D. Wen, G. Lin, S. Vafaei, and K. Zhang, “Review of nanofluids for heat transfer applications,” Particuology. 7, 141-150 (2009).
O. Mahian, A. Kianifar, S. A., Kalogirou, I. Pop, and S. Wongwises, “A review of the applications of nanofluids in solar energy,” Int. J. Heat and Mass Transf 57, 582-594 (2013).
D. A. Nield and A. Bejan, Convection in Porous Media (fourth ed.) (Springer, New York, 2013), pp. 582594.
Z. Haddad, E. Abu-Nada, and A. Mataoui, “Natural convection in nanofluids: are the thermophoresis and Brownian motion effects significant in nanofluid heat transfer enhancement,” Int. J. Therm. Sci 57, 152162 (2012).
M. A. Sheremet and I. Pop, “Free convection in a porous horizontal cylindrical annulus with a nanofluid using Buongiorno’s model,” Computers & Fluids 118, 182-190 (2015).
R. K. Tiwari and M. K. Das, “Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids,” Int. J. Heat and Mass Transf 50, 2002-2018 (2007).
M. Ghanbarpour, N. Nikkam, R. Khodabandeh, and M. S. Toprak, “Improvement of heat transfer characteristics of cylindrical heat pipe by using sic nanofluids,” Appl. Therm. Eng 90, 127135 (2015).
H. Li, Y. He, Y. Hu, B. Jiang, and Y. Huang, “Thermophysical and natural convection characteristics of ethylene glycol and water mixture based Zno nanofluids,” Int. J. Heat and Mass Transf 91, 385389 (2015).
S. M. Vanaki, P. Ganesan, and H. A. Mohammed, “Numerical study of convective heat transfer of nanofluids: A review,” Renew. and Sus. Ener. Rev 54, 1212-1239 (2016).
N. Zhao, J. Yang, H. Li, Z. Zhang, and S. Li, “Numerical investigations of laminar heat transfer and flow performance of Al 2 O 3–water nanofluids in a flat tube,” Int. J. Heat and Mass Transf. 92, 268-282 (2016).
J. Serna, “Heat and mass transfer mechanisms in nanofluids boundary layers,” Int. J. Heat and Mass Transf 92, 173-183 (2016).
S. T. Mohyud-Din, Z. A. Zaidi, U. Khan, and N. Ahmed, “On heat and mass transfer analysis for the flow of a nanofluid between rotating parallel plates,” Aerospace Sci. and Tech. 46, 514-522 (2015).
M. Ferdows, M. S. Khan, O. A. Bég, M. A. K. Azad, and M. M Alam, “Numerical study of transient magnetohydrodynamic radiative free convection nanofluid flow from a stretching permeable surface,” Proc. IMechE-Part E, J. Process Mech. Eng 228, 181-196 (2014).
M. J. Uddin, O. A. Bég, N. Amran, and A. I. MD. Ismail, “Lie group analysis and numerical solutions for magneto-convective slip flow of a nanofluid over a moving plate with a Newtonian heating boundary condition,” Can. J. Phys 93, 110 (2015).
A. V. Kuznetsov, “Nanofluid bioconvection in water-based suspensions containing nanoparticles and oxytactic microorganisms: Oscillatory instability,” Nanoscale Res. Lett 6, 100 (2011).
A. Raees, H. Xu, and S. J. Liao, “Unsteady mixed nano-bioconvection flow in a horizontal channel with its upper plate expanding or contracting,” Int. J. Heat and Mass Transf 86, 174-182 (2015).
K. B. Anoop, T. Sundararajan, and S. K. Das, “Effect of particle size on the convective heat transfer in nanofluid in the developing region,” Int. J. Heat and Mass Transf 52, 21892195 (2009).
T. J. Pedley, “Instability of uniform micro-organism suspensions revisited,” J. Fluid Mechanics. 647, 335-359 (2010).
H. Xu and I. Pop, “Mixed convection flow of a nanofluid over a stretching surface with uniform free stream in the presence of both nanoparticles and gyrotactic microorganisms,” Int. J. Heat and Mass Transf 75, 610-623 (2014).
A. Aziz, W. A. Khan, and I. Pop, “Free convection boundary layer flow past a horizontal flat plate embedded in porous medium filled by nanofluid containing gyrotactic microorganisms,” Int. J. Therm. Sci 56, 4857 (2012).
N. A. A., Latiff, M.J. Uddin, O.A., Bég, and A.I.M. Ismail, “Unsteady forced bioconvection slip flow of a micropolar nanofluid from a stretching/shrinking sheet,” Proc. IMECHE-Part N: J. of Nano. and Nanosys. 1740349915613817 (2015).
L. Tham, R. Nazar, and I. Pop, “Mixed convection flow over a solid sphere embedded in a porous medium filled by a nanofluid containing gyrotactic microorganisms,” Int. J. Heat and Mass Transf. 62, 647-660 (2013).
S. Saranya and K. V. Radha, “Review of nanobiopolymers for controlled drug delivery,” Polymer-Plastics Tech. and Eng. 53, 1636-1646 (2014).
J. K. Oh, D. I. Lee, and J. M Park, “Biopolymer-based microgels/nanogels for drug delivery applications,” Progress in Polymer Sci 34, 1261-1282 (2009).
T. Fang, J. Zhang, and Y. Zhong, “Unsteady viscous flow over an expanding stretching cylinder,” Chinese Phys. Lett 28, 124707 (2011).
A. V. Kuznetsov and D. A. Nield, “Natural convective boundary-layer flow of a nanofluid past a vertical plate: A revised model,” Int. J. Therm. Sci 77, 126-129 (2014).
K. Zaimi, A. Ishak, and I. Pop, “Unsteady flow due to a contracting cylinder in a nanofluid using Buongiorno’s model,” Int. J. Heat and Mass Transf 68, 509-513 (2014).
Z. Abbas, M. Sheikh, and I. Pop, “Stagnation-point flow of a hydromagnetic viscous fluid over stretching/shrinking sheet with generalized slip condition in the presence of homogeneous–heterogeneous reactions,” J. Taiwan Inst. Chem. Eng 55, 69-75 (2015).
M. J. Uddin, O. A. Bég, and A. I. Ismail, “Radiative convective nanofluid flow past a stretching/shrinking sheet with slip effects,” AIAA J. Thermophysics and Heat Transf 1-11 (2015).
W. A. Khan, O. D. Makinde, and Z. H. Khan, “MHD boundary layer flow of a nanofluid containing gyrotactic microorganisms past a vertical plate with Navier slip,” Int. J. Heat and Mass Transf. 74, 285-291 (2014).
T. Fang, J. Zhang, and Y. Zhong, “Note on unsteady viscous flow on the outside of an expanding or contracting cylinder,” Comm. Nonlinear Sci. and Numer. Simulat. 17, 3124-3128 (2012).
A. Ishak, R. Nazar, and I. Pop, “Magnetohydrodynamic (MHD) flow and heat transfer due to a stretching cylinder,” Energy Conver. and Managt 49, 32653269 (2008).
W. W. Zaimi, A. Ishak, and I. Pop, “Unsteady viscous flow over a shrinking cylinder,” J. King Saud University-Science. 25, 143-148 (2013).
C. Y. Wang, “Fluid flow due to a stretching cylinder,” Phy. of Fluids 31, 466-468 (1988).
A. V. Kuznetsov and D. A. Nield, “Natural convective boundary-layer flow of a nanofluid past a vertical plate,” Int J Therm Sci 49, 243247 (2010).
S. Mukhopadhyay, “MHD boundary layer slip flow along a stretching cylinder,” Ain Shams Eng J. 4, 317324 (2013).
C. Y. Wang, “Analysis of viscous flow due to a stretching sheet with surface slip and suction,” Nonlinear Analysis: Real World Appl. 10, 375-380 (2009).

Data & Media loading...


Article metrics loading...



A mathematical model is presented for three-dimensional unsteady boundary layer slip flow of Newtonian nanofluids containing gyrotactic microorganisms over a stretching cylinder. Both hydrodynamic and thermal slips are included. By applying suitable similarity transformations, the governing equations are transformed into a set of nonlinear ordinary differential equations with appropriate boundary conditions. The transformed nonlinear ordinary differential boundary value problem is then solved using the Runge-Kutta-Fehlberg fourth-fifth order numerical method in symbolic software. The effects of the controlling parameters on the dimensionless velocity, temperature, nanoparticle volume fractions and microorganism motile density functions have been illustrated graphically. Comparisons of the present paper with the existing published results indicate good agreement and supports the validity and the accuracy of our numerical computations. Increasing bioconvection Schmidt number is observed to depress motile micro-organism density function. Increasing thermal slip parameter leads to a decrease in temperature. Thermal slip also exerts a strong influence on nano-particle concentration. The flow is accelerated with positive unsteadiness parameter (accelerating cylinder) and temperature and micro-organism density function are also increased. However nano-particle concentration is reduced with positive unsteadiness parameter. Increasing hydrodynamic slip is observed to boost temperatures and micro-organism density whereas it decelerates the flow and reduces nano-particle concentrations. The study is relevant to nano-biopolymer manufacturing processes.


Full text loading...


Access Key

  • FFree Content
  • OAOpen Access Content
  • SSubscribed Content
  • TFree Trial Content
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd