Impact of nano-particles shapes on Al2O3-water nano-fluid flow due to a stretching cylinder

Purpose The purpose of this study is to theoretically probe the shape impacts of nano-particle on boundary layer flow of nano-fluid toward a stretching cylinder with heat-transmission effects. The base fluid used for this study is pure water, and aluminum oxide nano-particles are suspended in it. Four different shapes of nano-particle, namely, cylindrical, brick, platelets and blades, are considered to carry out the study. Design/methodology/approach The problem is modelled mathematically and the nonlinear system of equations is attained by using appropriate transmutations. The solution of transmuted equations is achieved by utilizing a shooting technique with Fourth-Fifth order Runge–Kutta Fehlberg scheme. Numerically attained results are elucidated through graphs and tables which are further compared under limiting cases with existing literature to check the validity of the results. Findings It is observed that fluid velocity and temperature of cylindrical shaped water nano-fluids are more than the nano-fluid having brick-shaped nano-particles. Moreover, it is seen that the nano-fluids suspended with platelets-shaped nano-particles have higher velocity and temperature than the nano-fluids containing blade-shaped nano-particles. The curvature parameter and nano-particles volume fraction have increasing effects on flow velocity and temperature of nano-fluids containing all types of nano-particle shapes. Originality/value Numerous authors have examined the impacts of nano-particle shapes on characteristics of heat transfer and fluid flow. However, to the best of the authors’ knowledge, the shape impacts of nano-particles on boundary layer flow of nano-fluid toward a stretching cylinder with heat-transmission effects have not been discussed. So, to fulfill this gap, the present paper explicates the impacts of various nano-particle shapes on Al2O3–water-based nano-fluid flow past a stretching cylinder with heat-transfer effects.

[1]  Syed Tauseef Mohyud-Din,et al.  Numerical investigation of magnetohydrodynamic flow and heat transfer of copper–water nanofluid in a channel with non-parallel walls considering different shapes of nanoparticles , 2016 .

[2]  C. Wang,et al.  Slip flow due to a stretching cylinder , 1988 .

[3]  Dae-Hwang Yoo,et al.  Study of thermal conductivity of nanofluids for the application of heat transfer fluids , 2007 .

[4]  Gerson Oswaldo Bueno-Garcia.  Preparación y caracterización de nanofluidos de grafeno y nanotubos de carbono funcionalizados para su uso en procesos de transferencia de calor , 2020 .

[5]  Zafar Hayat Khan,et al.  MHD Boundary Layer Slip Flow and Heat Transfer of Ferrofluid along a Stretching Cylinder with Prescribed Heat Flux , 2014, PloS one.

[6]  Ioan Pop,et al.  Free convection in a square porous cavity filled with a nanofluid using thermal non equilibrium and Buongiorno models , 2016 .

[7]  N. Arifin,et al.  Stagnation Point Flow Over a Stretching or Shrinking Cylinder in a Copper-Water Nanofluid , 2015 .

[8]  O. K. Crosser,et al.  Thermal Conductivity of Heterogeneous Two-Component Systems , 1962 .

[9]  Stephen U. S. Choi.  Enhancing thermal conductivity of fluids with nano-particles , 1995 .

[10]  C. T. Nguyen,et al.  New temperature dependent thermal conductivity data for water-based nanofluids , 2009 .

[11]  Asif Ali,et al.  Numerical investigation of magnetic field effects on entropy generation in viscous flow over a stretching cylinder embedded in a porous medium , 2016 .

[12]  Huaqing Xie,et al.  Investigation of thermal conductivity and viscosity of ethylene glycol based ZnO nanofluid , 2009 .

[13]  W. Roetzel,et al.  TEMPERATURE DEPENDENCE OF THERMAL CONDUCTIVITY ENHANCEMENT FOR NANOFLUIDS , 2003 .

[14]  Davood Domiri Ganji,et al.  Effect of magnetic field on Cu–water nanofluid heat transfer using GMDH-type neural network , 2013, Neural Computing and Applications.

[15]  R. Ellahi,et al.  Shape effects of nanosize particles in Cu-H2O nanofluid on entropy generation , 2015 .

[16]  Norfifah Bachok,et al.  Flow and Heat Transfer over a Stretching Cylinder with Prescribed Surface Heat Flux , 2010 .

[17]  Roslinda Mohd. Nazar,et al.  Laminar boundary layer flow along a stretching cylinder , 2009 .

[18]  L. Fradet,et al.  Geometrical variations in white and gray matter affect the biomechanics of spinal cord injuries more than the arachnoid space , 2016 .

[19]  L. J. Grubka,et al.  Heat Transfer Characteristics of a Continuous, Stretching Surface With Variable Temperature , 1985 .

[20]  L. J. Crane,et al.  Boundary layer flow due to a stretching cylinder , 1975 .

[21]  Y. Rao.  NANOFLUIDS: STABILITY, PHASE DIAGRAM, RHEOLOGY AND APPLICATIONS , 2010 .

[22]  E. Timofeeva,et al.  Particle shape effects on thermophysical properties of alumina nanofluids , 2009 .

[23]  Ilyas Khan,et al.  Energy Transfer in Mixed Convection MHD Flow of Nanofluid Containing Different Shapes of Nanoparticles in a Channel Filled with Saturated Porous Medium , 2015, Nanoscale Research Letters.

[24]  J. Eastman,et al.  Enhanced thermal conductivity through the development of nanofluids , 1996 .

[25]  Masood Khan,et al.  A mathematical model to examine the heat transport features in Burgers fluid flow due to stretching cylinder , 2020, Journal of Thermal Analysis and Calorimetry.

[26]  Ioan Pop,et al.  Natural convection of nanofluid inside a wavy cavity with a non-uniform heating: Entropy generation analysis , 2017 .

[27]  Chi-Chuan Wang,et al.  Enhancement of Thermal Conductivity with CuO for Nanofluids , 2006 .

[28]  K. Vajravelu,et al.  Axisymmetric magneto-hydrodynamic (MHD) flow and heat transfer at a non-isothermal stretching cylinder , 2012, Appl. Math. Comput..

[29]  William W. Yu,et al.  ANOMALOUSLY INCREASED EFFECTIVE THERMAL CONDUCTIVITIES OF ETHYLENE GLYCOL-BASED NANOFLUIDS CONTAINING COPPER NANOPARTICLES , 2001 .

[30]  Davood Domiri Ganji,et al.  Nanofluid flow and heat transfer due to a stretching cylinder in the presence of magnetic field , 2013 .