Abstract
This work is concerned with the numerical solution for rotating viscoelastic flow developed by an exponentially stretching impermeable surface. Temperature at the sheet is also assumed to vary exponentially. Energy equation involves the novel nonlinear radiation heat flux term. Suitable transformations are utilized to nondimensionalize the relevant boundary layer equations. Numerical solutions are developed by means of standard shooting approach. The results demonstrate that both rotation and viscoelasticity serve to reduce the hydrodynamic boundary layer thickness. Temperature function has a special S-shaped profile when the difference between wall and ambient temperatures is sufficiently large. Heat transfer coefficient at the surface diminishes when rotation parameter is increased. Current numerical computations are consistent with those of the existing studies in the literature.
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References
Abel MS, Tawade JV, Nandeppanavar MM (2012) MHD flow and heat transfer for the upper-convected Maxwell fluid over a stretching sheet. Meccanica 47:385–393
Hayat T, Mustafa M, Shehzad SA, Obaidat S (2012) Melting heat transfer in the stagnation-point flow of an upper-convected Maxwell (UCM) fluid past a stretching sheet. Int J Numer Methods Fluids 68:233–243
Han S, Zheng L, Li C, Zhang X (2014) Coupled flow and heat transfer in viscoelastic fluid with Cattaneo–Christov heat flux model. Appl Math Lett 38:87–93
Mustafa M (2015) Cattaneo–Christov heat flux model for rotating flow and heat transfer of upper-convected Maxwell fluid. AIP Adv. doi:10.1063/1.4917306
Mustafa M, Khan JA, Hayat T, Alsaedi A (2015) Simulations for Maxwell fluid flow past a convectively heated exponentially stretching sheet with nanoparticles. AIP Adv. doi:10.1063/1.4916364
Khan JA, Mustafa M, Hayat T, Alsaedi A (2015) Numerical study of Cattaneo–Christov heat flux model for viscoelastic flow due to an exponentially stretching surface. PLoS ONE. doi:10.1371/journal.pone.0137363
Li C, Zheng L, Zhang X, Chen G (2016) Flow and heat transfer of a generalized Maxwell fluid with modified fractional Fourier’s law and Darcy’s law. Comp Fluids 125:25–38
Khan N, Mahmood T, Sajid M, Hashmi MS (2016) Heat and mass transfer on MHD mixed convection axisymmetric chemically reactive flow of Maxwell fluid driven by exothermal and isothermal stretching disks. Int J Heat Mass Transf 92:1090–1105
Mushtaq A, Abbasbandy S, Mustafa M, Hayat T, Alsaedi A (2016) Numerical solution for Sakiadis flow of upper-convected Maxwell fluid using Cattaneo–Christov heat flux model. AIP Adv. doi:10.1063/14940133
Mushtaq A, Mustafa M, Hayat T, Alsaedi A (2016) A numerical study for three-dimensional viscoelastic flow inspired by non-linear radiative heat flux. Int J Non-Linear Mech 79:83–87
Wang CY (1988) Stretching a surface in a rotating fluid. ZAMP 39:177–185
Nazar R, Amin N, Pop I (2004) Unsteady boundary layer flow due to a stretching surface in a rotating fluid. Mech Res Commun 31:121–128
Turkyilmazoglu M (2010) Numerical computation of unsteady flows with an implicit spectral method over a disk in still air. Numer Heat Transf 57:40–53
Javed T, Sajid M, Abbas Z, Ali N (2011) Non-similar solution for rotating flow over an exponentially stretching surface. Int J Numer Methods Heat Fluid Flow 21:903–908
Zaimi K, Ishak A, Pop I (2013) Stretching surface in rotating viscoelastic fluid. Appl Math Mech 34:945–952
Rosali H, Ishak A, Nazar R, Pop I (2015) Rotating flow over an exponentially shrinking sheet with suction. J Mol Liq 211:965–969
Hayat T, Qayyum S, Imtiaz M, Alsaedi A (2016) Three-dimensional rotating flow of Jeffrey fluid for Cattaneo-Christov heat flux model. AIP Adv. doi:10.1063/1.4942091
Khan JA, Mustafa M, Mushtaq A (2016) On three-dimensional flow of nanofluids past a convectively heated deformable surface: a numerical study. Int J Heat Mass Transf 94:49–55
Mustafa M, Mushtaq A, Hayat T, Alsaedi A (2016) Rotating flow of magnetite-water nanofluid over a stretching surface inspired by non-linear thermal radiation. PLoS ONE. doi:10.1371/journal.pone.0149304
Raptis A (1998) Radiation and free convection flow through a porous medium. Int Commun Heat Mass Transf 25:289–295
Bakier AY (2001) Thermal radiation effect on mixed convection from vertical surface in saturated porous media. Int Commun Heat Mass Transf 28:119–126
Cortell R (2008) A numerical tackling on Sakiadis flow with thermal radiation. Chin Phys Lett 25:1340–1342
Magyari E, Pantokratoras A (2011) Note on the effect of thermal radiation in the linearized Rosseland approximation on the heat transfer characteristics of various boundary layer flows. Int J Heat Mass Transf 38:554–556
Rahman MM, Al-tayeb IA (2013) Radiative heat transfer in a hydromagnetic nanofluid past a non-linear stretching surface with convective boundary condition. Meccanica 48:601–615
Pantokratoras A, Fang T (2014) Blasius flow with non-linear Rosseland thermal radiation. Meccan 49:1539–1545
Mustafa M, Mushtaq A, Hayat T, Ahmad B (2014) Nonlinear radiation heat transfer effects in the natural convective boundary layer flow of nanofluid past a vertical plate: a numerical study. PLoS ONE. doi:10.1371/journal.pone.0103946
Mustafa M, Mushtaq A, Hayat T, Alsaedi A (2015) Radiation effects in three-dimensional flow over a bi-directional exponentially stretching sheet. J Taiwan Inst Chem Eng 47:43–49
Mustafa M, Mushtaq A, Hayat T, Alsaedi A (2015) Model to study the non-linear radiation heat transfer in the stagnation-point flow of power-law fluid. Int J Numer Methods Heat Fluid Flow 25:1107–1119
Hayat T, Imtiaz M, Alsaedi A, Kutbi MA (2015) MHD three-dimensional flow of nanofluid with velocity slip and nonlinear thermal radiation. J Magn Magn Mater 396:31–37
Hayat T, Muhammad T, Alsaedi A, Alhuthali MS (2015) Magneto hydrodynamic three-dimensional flow of viscoelastic nanofluid in the presence of nonlinear thermal radiation. J Magn Magn Mater 385:222–229
Prasannakumara BC, Gireesha BJ, Gorla RSR, Krishnamurthy MR (2016) Effects of chemical reaction and nonlinear radiation on Williamson nanofluid slip flow over a stretching sheet embedded in a porous medium. J Aerosp Eng. doi:10.1061/(ASCE)AS.1943-5525.0000578
Turkyilmazoglu M (2016) Equivalences and correspondences between the deforming body induced flow and heat in two-three dimensions. Phys Fluids. doi:10.1063/1.4945650
Dehghan M, Salehi R (2014) A meshless local Petrov–Galerkin method for the time-dependent Maxwell equations. J Comput Appl Math 268:99–110
Hosseinzadeh H, Dehghan M, Mirzaei D (2013) The boundary elements method for magneto-hydrodynamic (MHD) channel flows at high Hartmann numbers. Appl Math Model 37:2337–2351
Dehghan M, Mohammadi V (2015) The method of variably scaled radial kernels for solving two-dimensional magnetohydrodynamic (MHD) equations using two discretizations: the Crank–Nicolson scheme and the method of lines (MOL). Comput Math Appl 70:2292–2315
Kandelousi MS (2014) Effect of spatially variable magnetic field on ferrofluid flow and heat transfer considering constant heat flux boundary condition. Eur Phys J Plus. doi:10.1140/epjp/i2014-14248-2
Kandelousi MS (2014) KKL correlation for simulation of nanofluid flow and heat transfer in a permeable channel. Phys Lett A 378:3331–3339
Turkyilmazoglu M (2012) Multiple analytic solutions of heat and mass transfer of magnetohydrodynamic slip flow for two types of viscoelastic fluids over a stretching surface. J Heat Transf 134:071701. doi:10.1115/1.4006165
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Mustafa, M., Ahmad, R., Hayat, T. et al. Rotating flow of viscoelastic fluid with nonlinear thermal radiation: a numerical study. Neural Comput & Applic 29, 493–499 (2018). https://doi.org/10.1007/s00521-016-2462-x
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DOI: https://doi.org/10.1007/s00521-016-2462-x