Numerical treatment for Darcy-Forchheimer flow of carbon nanotubes due to an exponentially stretching curved surface

This article gives a numerical report to two dimensional (2D) Darcy-Forchheimer flow of carbon-water nanofluid. Flow is instigated by exponential extending curved surface. Viscous liquid in permeable space is described by Darcy-Forchheimer. The subsequent arrangement of partial differential equations is changed into ordinary differential framework through proper transformations. Numerical arrangements of governing frameworks are set up by NDSolve procedure. Outcomes of different sundry parameters on temperature and velocity are examined. Skin friction and heat transfer rate are also shown and inspected.摘要本文对碳水纳米流体的二维流动进行了数值模拟。流体是由指数扩展曲面引起的。本文用 Darcy-Forchheimer方法描述了渗透空间中的黏性液体。通过适当的变换, 将偏微分方程的后续排列转 化为常微分框架。采用NDSolve程序建立了控制框架的数值排布。考察了不同参数对温度和速度的影 响, 并对表面摩擦和传热速率进行监测。

[1]  Nasir Ali,et al.  Stretching a Curved Surface in a Viscous Fluid , 2010 .

[2]  N. Sandeep,et al.  A comparative analysis of magnetohydrodynamic non-Newtonian fluids flow over an exponential stretched sheet , 2017, Alexandria Engineering Journal.

[3]  N. Sandeep,et al.  Dual solutions for nanofluid flow past a curved surface with nonlinear radiation, Soret and Dufour effects , 2018 .

[4]  N. Sandeep,et al.  Joule heating and wall flexibility effects on the peristaltic flow of magnetohydrodynamic nanofluid , 2017 .

[5]  Ioan Pop,et al.  FORCED CONVECTION BOUNDARY LAYER STAGNATION-POINT FLOW IN DARCY-FORCHHEIMER POROUS MEDIUM PAST A SHRINKING SHEET , 2016 .

[6]  E. Grulke,et al.  Anomalous thermal conductivity enhancement in nanotube suspensions , 2001 .

[7]  Tasawar Hayat,et al.  Numerical study of boundary-layer flow due to a nonlinear curved stretching sheet with convective heat and mass conditions , 2017 .

[8]  T. Hayat,et al.  Darcy–Forchheimer Three-Dimensional Flow of Williamson Nanofluid over a Convectively Heated Nonlinear Stretching Surface , 2017 .

[9]  Ahmed Alsaedi,et al.  RETRACTED: MHD forced convection flow of nanofluid in a porous cavity with hot elliptic obstacle by means of Lattice Boltzmann method , 2018 .

[10]  Tasawar Hayat,et al.  Numerical study for Darcy-Forchheimer flow due to a curved stretching surface with Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions , 2017 .

[11]  Ioan Pop,et al.  Unsteady boundary layer flow over a permeable curved stretching/shrinking surface , 2015 .

[12]  T. Hayat,et al.  Darcy–Forchheimer squeezed flow of carbon nanotubes with thermal radiation , 2018, Journal of Physics and Chemistry of Solids.

[13]  T. Hayat,et al.  Numerical study for Darcy-Forchheimer flow of nanofluid due to an exponentially stretching curved surface , 2018 .

[14]  T. Hayat,et al.  Darcy-Forchheimer flow due to a curved stretching surface with Cattaneo-Christov double diffusion: A numerical study , 2017 .

[15]  S. Asghar,et al.  Flow of viscous fluid along a nonlinearly stretching curved surface , 2017 .

[16]  A. Badarudin,et al.  Investigation of Heat Transfer Enhancement in a Forward-Facing Contracting Channel Using FMWCNT Nanofluids , 2014 .

[17]  S. Asghar,et al.  Flow of viscous fluid along an exponentially stretching curved surface , 2017 .

[18]  Muhammad Sajid,et al.  MHD FLOW OF MICRO POLAR FLUID DUE TO A CURVED STRETCHING SHEET WITH THERMAL RADIATION , 2016 .

[19]  L. Crane Flow past a stretching plate , 1970 .

[20]  Tasawar Hayat,et al.  Darcy–Forchheimer flow of magneto Maxwell liquid bounded by convectively heated sheet , 2016 .

[21]  Ahmed Alsaedi,et al.  A revised model for Darcy-Forchheimer flow of Maxwell nanofluid subject to convective boundary condition , 2017 .

[22]  Rahmat Ellahi,et al.  Study of Natural Convection MHD Nanofluid by Means of Single and Multi-Walled Carbon Nanotubes Suspended in a Salt-Water Solution , 2015, IEEE Transactions on Nanotechnology.

[23]  Xing Zhang,et al.  Heat transfer and pressure drop of nanofluids containing carbon nanotubes in laminar flows , 2013 .

[24]  Ahmed Alsaedi,et al.  Homogeneous-heterogeneous reactions in MHD flow due to an unsteady curved stretching surface , 2016 .

[25]  W. C. Krumbein,et al.  The Flow of Homogeneous Fluids through Porous Media , 1938 .

[26]  Tasawar Hayat,et al.  Magnetohydrodynamic three-dimensional flow of viscoelastic nanofluid in the presence of nonlinear thermal radiation , 2015 .

[27]  M Muskat,et al.  THE FLOW OF HOMOGENEOUS FLUIDS THROUGH POROUS MEDIA: ANALOGIES WITH OTHER PHYSICAL PROBLEMS , 1937 .

[28]  Q. Xue Model for thermal conductivity of carbon nanotube-based composites , 2005 .

[29]  M. Farooq,et al.  Melting heat transfer with radiative effects and homogeneous–heterogeneous reaction in thermally stratified stagnation flow embedded in porous medium , 2018, Journal of Central South University.

[30]  Tasawar Hayat,et al.  Darcy-Forchheimer flow with variable thermal conductivity and Cattaneo-Christov heat flux , 2016 .

[31]  S. Saleem,et al.  Free convective MHD Cattaneo-Christov flow over three different geometries with thermophoresis and Brownian motion , 2017 .

[32]  T. Hayat,et al.  Melting Heat in Radiative Flow of Carbon Nanotubes with Homogeneous-Heterogeneous Reactions , 2018 .

[33]  T. Hayat,et al.  Numerical study for nanofluid flow due to a nonlinear curved stretching surface with convective heat and mass conditions , 2017 .

[34]  Ali J. Chamkha,et al.  Numerical exploration of magnetohydrodynamic nanofluid flow suspended with magnetite nanoparticles , 2017 .

[35]  Syed Tauseef Mohyud-Din,et al.  Numerical investigation for three dimensional squeezing flow of nanofluid in a rotating channel with lower stretching wall suspended by carbon nanotubes , 2017 .

[36]  Ahmed Alsaedi,et al.  Convective flow of ferrofluid due to a curved stretching surface with homogeneous-heterogeneous reactions , 2017 .

[37]  Kuppalapalle Vajravelu,et al.  Numerical analysis of natural convective flow and heat transfer of nanofluids in a vertical rectangular duct using Darcy-Forchheimer-Brinkman model , 2017 .

[38]  N. Sandeep,et al.  Aligned magnetic field and cross-diffusion effects of a nanofluid over an exponentially stretching surface in porous medium , 2016, Applied Nanoscience.

[39]  Ahmed Alsaedi,et al.  Homogeneous-heterogeneous reactions in MHD flow of micropolar fluid by a curved stretching surface , 2017, Journal of Molecular Liquids.

[40]  M. Seddeek,et al.  Influence of viscous dissipation and thermophoresis on Darcy-Forchheimer mixed convection in a fluid saturated porous media. , 2006, Journal of colloid and interface science.

[41]  Muhammad Sajid,et al.  Hydromagnetic slip flow of nanofluid over a curved stretching surface with heat generation and thermal radiation , 2016 .

[42]  Ehtsham Azhar,et al.  Transport phenomena of carbon nanotubes and bioconvection nanoparticles on stagnation point flow in presence of induced magnetic field , 2017 .

[43]  Ahmed Alsaedi,et al.  Effects of homogeneous and heterogeneous reactions in flow of nanofluids over a nonlinear stretching surface with variable surface thickness , 2016 .

[44]  T. Hayat,et al.  Carbon nanotubes significance in Darcy-Forchheimer flow , 2018 .

[45]  Ahmed Alsaedi,et al.  On Darcy-Forchheimer flow of carbon nanotubes due to a rotating disk , 2017 .

[46]  Yulong Ding,et al.  Heat transfer of aqueous suspensions of carbon nanotubes (CNT nanofluids) , 2006 .