Bioconvection in MHD nanofluid flow with nonlinear thermal radiation and quartic autocatalysis chemical reaction past an upper surface of a paraboloid of revolution

International Journal of Thermal Sciences - Tập 109 - Trang 159-171 - 2016
Oluwole Daniel Makinde1, Isaac Lare Animasaun2
1Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha, 7395, South Africa
2Department of Mathematical Sciences, Federal University of Technology Akure, Ondo State, Nigeria

Tóm tắt

Từ khóa


Tài liệu tham khảo

Rossow, 1957, On flow of electrically conducting fluid over a flat plate in the presence of a transverse magnetic field, NACA Tech, 3071

Alfven, 1942, Existence of electromagnetic-hydrodynamic waves, Nat Publ Group, 150, 405

Liron, 1974, Integration of the magnetohydrodynamic boundary-layer equations by Meksins method, J Appl Math Mech (ZAMM), 54, 27, 10.1002/zamm.19740540105

Makinde, 2012, Heat and mass transfer by MHD mixed convection stagnation point flow toward a vertical plate embedded in a highly porous medium with radiation and internal heat generation, Meccanica, 47, 1173, 10.1007/s11012-011-9502-5

Motsa, 2015, A new numerical investigation of some thermo-physical properties on unsteady mhd non-darcian flow past an impulsively started vertical surface, Therm Sci, 1), S249S258

Animasaun, 2015, Dynamics of unsteady MHD convective flow with thermophoresis of particles and variable thermo-physical properties past a vertical surface moving through binary mixture, Open J Fluid Dyn, 5, 106, 10.4236/ojfd.2015.52013

Animasaun, 2015, Effects of thermophoresis, variable viscosity and thermal conductivity on free convective heat and mass transfer of non-darcian MHD dissipative Casson fluid flow with suction and nth order of chemical reaction, J Niger Math Soc, 34, 11, 10.1016/j.jnnms.2014.10.008

Animasaun, 2016, 47nm aluminawaternanofluid flow within boundary layer formed on upper horizontal surface of paraboloid of revolution in the presence of quarticautocatalysischemical reaction, Alexandria Eng J, 10.1016/j.aej.2016.04.030

Chaudhary, 1995, A simple isothermal model for homogeneous-heterogeneous reactions in boundary-layer flow. I Equal diffusivities, Fluid Dyn Res, 16, 311, 10.1016/0169-5983(95)00015-6

Chaudhary, 1995, A simple isothermal model for homogeneous-heterogeneous reactions in boundary-layer flow. II Different diffusivities for reactant and autocatalyst, Fluid Dyn Res, 16, 335, 10.1016/0169-5983(95)90813-H

Scott, 1987, Isolas, mushrooms and oscillations in isothermal, autocatalytic reaction-diffusion equations, Chem Eng Sci, 42, 307, 10.1016/0009-2509(87)85060-1

Nandkeolyar, 2013, Viscous and Joule heating in the stagnation point nanofluid flow through a stretching sheet with HomogenousHeterogeneous reactions and nonlinear convection, J Nanotechnol Eng Med, 4

Animasaun, 2016, Unequal diffusivities case of homogeneous-heterogeneous reactions within viscoelastic fluid flow in the presence of induced magnetic-field and nonlinear thermal radiation, Alexandria Eng J, 10.1016/j.aej.2016.01.018

Rosseland, 1931, 4144

Animasaun, 2015, Double diffusive unsteady convective micropolar flow past a vertical porous plate moving through binary mixture using modified Boussinesq approximation, Ain Shams Eng J

Choi, 1995, Enhancing thermal conductivity of fluids with nanoparticles, 66, 99

Mintsa, 2007, New temperature dependent thermal conductivity data of water based nanofluids, 290, 25

Sandeep, 2016, Stagnation-point flow of a Jeffrey nano fluid over a stretching surface with induced magnetic field and chemical reaction, Int J Eng Res Afr, 20, 93, 10.4028/www.scientific.net/JERA.20.93

Platt, 1961, ”Bioconvection patterns” in cultures of free-swimming organisms, Science, 133, 1766, 10.1126/science.133.3466.1766

Ghorai, 2000, Wavelengths of gyrotactic plumes in bioconvection, Bull Math Biol, 62, 429, 10.1006/bulm.1999.0160

Kuznetsov, 2004, Effect of small particles on the stability of bioconvection in a suspension of gyrotactic microorganisms in a layer of finite depth, Int Commun Heat Mass Transf, 31, 1, 10.1016/S0735-1933(03)00196-9

Khan, 2014, MHD nanofluid bioconvection due to Gyrotactic Microorganisms over a Convectively heat stretching sheet, Int J Therm Sci, 81, 118, 10.1016/j.ijthermalsci.2014.03.009

Khan, 2014, MHD boundary layer flow of a nanofluid containing gyrotactic microorganisms past a vertical plate with Navier slip, Int J Heat Mass Transf, 74, 285291, 10.1016/j.ijheatmasstransfer.2014.03.026

Makinde, 2016, MHD flow of a variable viscosity nanofluid over a radially stretching convective surface with radiative heat, J Mol Liq, 219, 624, 10.1016/j.molliq.2016.03.078

Raees, 2015, Mixed convection in gravity-driven nano-liquid film containing both nanoparticles and gyrotactic microorganisms, Appl Math Mech, 36, 163, 10.1007/s10483-015-1901-7

Das, 2015, Entropy analysis of unsteady magneto-nanofluid flow past accelerating stretching sheet with convective boundary condition, Appl Math Mech, 36, 15931610, 10.1007/s10483-015-2003-6

Lee, 1967, Boundary layer over a thin Needle, Phys Fluids, 10, 820, 10.1063/1.1762194

Davis, 1972, Numerical solutions for laminar incompressible flow past a paraboloid of revolution, Am Inst Aeronautics Astronautics J, 10, 1224, 10.2514/3.50354

Anjali Devi, 2015, Temperature dependent viscosity and thermal conductivity effects on hydromagnetic flow over a slendering stretching sheet, J Niger Math Soc, 34, 318, 10.1016/j.jnnms.2015.07.002

Fang, 2015, Boundary layer flow over a stretching sheet with variable thickness, Appl Math Comput, 218, 7241, 10.1016/j.amc.2011.12.094

Kuznetsov, 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

Kuznetsov, 2011, Double-diffusive natural convective boundary layer flow of a nanofluid past a vertical plate, Int J Therm Sci, 50, 712e717, 10.1016/j.ijthermalsci.2011.01.003

Lynch, 1992, Chaotic behavior of reaction systems: mixed cubic and quadratic autocatalysis, Chem Eng Sci, 47, 4435, 10.1016/0009-2509(92)85121-Q

Pedle, 1988, The growth of bioconvection patterns in a uniform suspension of gyrotactic micro-organisms, J Fluid Mech, 195, 223, 10.1017/S0022112088002393

Kuznetsov, 2010, The onset of nanofluid bioconvection in a suspension containing both nanoparticles and gyrotactic microorganisms, Int Commun Heat Mass Transf, 37, 1421, 10.1016/j.icheatmasstransfer.2010.08.015

Oberbeck, 1879, Uber die Wärmleitung der Flüssigkeiten bei Berücksichtigung der Strömungen infolge von Temperatur differenzen, Ann Phys Chem, 7, 271, 10.1002/andp.18792430606

Boussinesq, 1903

Boussinesq, 1897, Theorie de lecoulement tourbillonnant et tumultueux des liquides dans les lits rectilignes a grande section, Gauthier-Villars Paris, 1

Shahraki, 2002, Modeling of buoyancy-driven flow and heat transfer for air in a horizontal annulus: effects of vertical eccentricity and temperature-dependent properties, 42, 603

Diaz, 2007, A parabolic system involving a quadratic gradient term related to the Boussinesq approximation, Rev Real Acad Ciencias Ser A Mat (RACSAM), 101, 113118

Rudyak, 2013, Viscosity of Nanofluids-Why it is not described by the classical theories, Adv Nano, 2, 266, 10.4236/anp.2013.23037

Brinkman, 1952, The viscosity of concentrated suspensions and solutions, J Chem Phys, 20, 571

Haroun, 2015, On unsteady MHD mixed convection in a nanofluid due to a stretching/shrinking surface with suction/injection using the spectral relaxation method, Bound Value Probl, 24, 17

Oztop, 2008, Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids, Int J Heat Fluid Flow, 29, 1326, 10.1016/j.ijheatfluidflow.2008.04.009

Na, 1979

Pantokratoras, 2009, A common error made in investigation of boundary layer flows, Appl Math Model, 33, 413422, 10.1016/j.apm.2007.11.009

Gökhan, 2011, 1

Kierzenka, 2001, A BVP solver based on residual control and the MATLAB PSE, ACM TOMS, 27, 299, 10.1145/502800.502801

Zhao, 2015, Analysis of three-dimensional boundary-layer nanofluid flow and heat transfer over a stretching surface by means of the homotopy analysis method, Bound Value Probl, 64, 1

Animasaun, 2015, Casson fluid flow with variable thermo-physical property along exponentially stretching sheet with suction and exponentially decaying internal heat generation using the homotopy analysis method, J Niger Math Soc

Mutuku, 2014, Hydromagnetic bioconvection of nanofluid over a permeable vertical plate due to gyrotactic microorganisms, Comput Fluids, 95, 8897, 10.1016/j.compfluid.2014.02.026

Oberbeck A (1888) Uber die Bewegungsercheinungen der Atmosphere, Sitz. Ber. K. Preuss. Akad. Miss. 383. and 1120.