Computational Study of Three-Dimensional Stagnation Point Nanofluid Bioconvection Flow on a Moving Surface With Anisotropic Slip and Thermal Jump Effect

Journal of Heat Transfer - Tập 138 Số 10 - 2016
Md. Jashim Uddin1, Waqar A. Khan2, A. I. Md. Ismail3, O. Anwar Bég4
1Head of the Mathematics Department, American International University-Bangladesh, Banani, Dhaka 1213, Bangladesh e-mail:
2Department of Mechanical and Industrial Engineering, College of Engineering, Majmaah University, Majmaah 11952, Saudi Arabia e-mail:
3School of Mathematical Sciences, Universiti Sains Malaysia, Penang 11800, Malaysia e-mail:
4Spray Research Group, Petroleum and Gas Engineering Division, School of Computing, Science and Engineering (CSE), University of Salford, Room G77, Newton Building, Salford M54WT, UK e-mail:

Tóm tắt

The effects of anisotropic slip and thermal jump on the three-dimensional stagnation point flow of nanofluid containing microorganisms from a moving surface have been investigated numerically. Anisotropic slip takes place on geometrically striated surfaces and superhydrophobic strips. Zero mass flux of nanoparticles at the surface is applied to achieve practically applicable results. Using appropriate similarity transformations, the transport equations are reduced to a system of nonlinear ordinary differential equations with coupled boundary conditions. Numerical solutions are reported by means of very efficient numerical method provided by the symbolic code Maple. The influences of the emerging parameters on the dimensionless velocity, temperature, nanoparticle volumetric fraction, density of motile microorganism profiles, as well as the local skin friction coefficient, the local Nusselt number, and the local density of the motile microorganisms are displayed graphically and illustrated in detail. The computations demonstrate that the skin friction along the x-axis is enhanced with the velocity slip parameter along the y-axis. The converse response is observed for the dimensionless skin friction along the y-axis. The heat transfer rate is increased with greater velocity slip effects but depressed with the thermal slip parameter. The local Nusselt number is increased with Prandtl number and decreased with the thermophoresis parameter. The local density for motile microorganisms is enhanced with velocity slip parameters and depressed with the bioconvection Lewis number, thermophoresis, and Péclet number. Numerical results are validated where possible with published results and excellent correlation is achieved.

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Tài liệu tham khảo

2000, Boundary Layer Theory, 8th ed.

2014, Slip Effects on Unsteady Stagnation Point Flow of a Nanofluid Over a Stretching Sheet, Powder Technol., 253, 377, 10.1016/j.powtec.2013.11.049

1911, Die Grenzschicht an einem in den gleichformingen Flussigkeitsstrom eingetauchtengraden Kreiszylinder, Dinglers Polytech. J., 326, 321

2012, Radiation Effects on Heat and Mass Transfer in MHD Stagnation-Point Flow Over a Permeable Flat Plate With Thermal Convective Surface Boundary Condition, Temperature Dependent Viscosity and Thermal Conductivity, Nucl. Eng. Des., 242, 194, 10.1016/j.nucengdes.2011.09.005

2008, An Experimental and Numerical Study of Stagnation Point Heat Transfer for Methane/Air Laminar Flame Impinging on a Flat Surface, Int. J. Heat Mass Transfer, 51, 3595, 10.1016/j.ijheatmasstransfer.2007.10.018

2004, Engineering Flows in Small Devices, Annu. Rev. Fluid Mech., 36, 381, 10.1146/annurev.fluid.36.050802.122124

2003, Stagnation Flows With Slip: Exact Solutions of the Navier-Stokes Equations, Z. Angew. Math. Mech. Phys., 54, 184, 10.1007/PL00012632

2003, Stagnation Flow on a Plate With Anisotropic Slip, Eur. J. Mech., B: Fluids, 38, 73, 10.1016/j.euromechflu.2012.10.005

2015, Radiative Convective Nanofluid Flow Past a Stretching/Shrinking Sheet With Slip Boundary Conditions, AIAA J. Thermophys. Heat Transfer, 29, 513, 10.2514/1.T4372

1988, Heat Transfer Augmentation, Two-Phase Flow Heat Exchangers, 343, 10.1007/978-94-009-2790-2_10

1995, Enhancing Thermal Conductivity of Fluids With Nanoparticle, Development and Applications of Non-Newtonian Flows, 99

2006, Convective Transport in Nanofluids, ASME J. Heat Transfer, 128, 240, 10.1115/1.2150834

2010, Natural Convective Boundary-Layer Flow of a Nanofluid Past a Vertical Plate, Int. J. Therm. Sci., 49, 243, 10.1016/j.ijthermalsci.2009.07.015

1961, Bioconvection Patterns' in Cultures of Free-Swimming Organisms, Science, 133, 1766, 10.1126/science.133.3466.1766

2009, Rapid Mixing Between Ferro-Nanofluid and Water in a Semiactive Y-Type Micromixer, Sens. Actuators, A, 153, 267, 10.1016/j.sna.2009.05.004

2010, The Onset of Nanofluid Bioconvection in a Suspension Containing Both Nanoparticles and Gyrotactic Microorganisms, Int. Commun. Heat Mass Transfer, 37, 1421, 10.1016/j.icheatmasstransfer.2010.08.015

2014, Boundary Layer Analysis and Heat Transfer of a Nanofluid, Microfluid. Nanofluid., 17, 401, 10.1007/s10404-013-1319-1

2011, Nanofluid Bio-Thermal Convection: Simultaneous Effects of Gyrotactic and Oxytactic Micro-Organisms, Fluid Dyn. Res., 43, 055505, 10.1088/0169-5983/43/5/055505

2011, Nanofluid Bioconvection in Water-Based Suspensions Containing Nanoparticles and Oxytactic Microorganisms: Oscillatory Instability, Nanoscale Res. Lett., 6, 100, 10.1186/1556-276X-6-100

2012, Nanofluid Bioconvection in a Horizontal Fluid-Saturated Porous Layer, J. Porous Media, 15, 11, 10.1615/JPorMedia.v15.i1.20

2012, Nanofluid Bioconvection in Porous Media: Oxytactic Microorganisms, J. Porous Media, 15, 233, 10.1615/JPorMedia.v15.i3.30

2012, Nanofluid Bioconvection: Interaction of Microorganisms Oxytactic Upswimming, Nanoparticle Distribution, and Heating/Cooling From Below, Theor. Comput. Fluid Dyn., 26, 291, 10.1007/s00162-011-0230-1

2015, Bioconvective Non-Newtonian Nanofluid Transport in Porous Media Containing Micro-Organisms in a Moving Free Stream, J. Mech. Med. Biol., 15, 1550071, 10.1142/S0219519415500712

2014, Fully Developed Mixed Convection Flow in a Horizontal Channel Filled by a Nanofluid Containing Both Nanoparticles and Gyrotactic Microorganisms, Eur. J. Mech., B: Fluids, 46, 37, 10.1016/j.euromechflu.2014.02.005

2013, The Cheng-Minkowycz Problem for Natural Convective Boundary Layer Flow in a Porous Medium Saturated by a Nanofluid: A Revised Model, Int. J. Heat Mass Transfer, 65, 682, 10.1016/j.ijheatmasstransfer.2013.06.054

2011, Carbon Nanoparticles-Assisted Mediator-Less Microbial Fuel Cells Using Proteus Vulgaris, Biosens. Bioelectron., 27, 106, 10.1016/j.bios.2011.06.025

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Journal of Heat Transfer

Tập 138 Số 10

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