Numerical simulation of unsteady squeezing nanofluid and heat flow between two parallel plates using wavelets

Abstract In the present study, unsteady squeezing nano fluid flow between two parallel plates has been investigated first time with wavelets. Similarity transformation has been used to transform the governing nonlinear momentum and thermal energy equation to a nonlinear coupled ordinary differential equation with fitted boundary conditions. For nonlinear coupled ordinary differential equation we present the new perspective of Haar wavelet transform with essential idea of scale-3 Haar wavelets. The numerical investigation is carried out for various physical parameters such as squeeze number, Reynolds number, Eckert number and nano particle volume fraction. As a main outcome from the present study is that, wavelet yields more accurate results than the other numerical results that are available in the literature. We have used Haar wavelets with scale-2 and scale-3 parameters for dilation and it has been found that wavelets with scale-3 produces better results than scale-2 wavelets.

[1]  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 .

[2]  Ingrid Daubechies,et al.  Ten Lectures on Wavelets , 1992 .

[3]  C. Balaji,et al.  Fluid flow and heat transfer characteristics of a vertical channel with detached pin-fin arrays arranged in staggered manner on two opposite endwalls , 2016 .

[4]  Davood Domiri Ganji,et al.  Effect of a magnetic field on natural convection in an inclined half-annulus enclosure filled with Cu–water nanofluid using CVFEM , 2013 .

[5]  T. Hayat,et al.  Influence of wall properties on the peristaltic flow of a nanofluid: Analytic and numerical solutions , 2012 .

[6]  G. Domairry,et al.  Approximate Analysis of MHD Squeeze Flow between Two Parallel Disks with Suction or Injection by Homotopy Perturbation Method , 2009 .

[7]  Davood Domiri Ganji,et al.  Numerical investigation of MHD effects on Al2O3–water nanofluid flow and heat transfer in a semi-annulus enclosure using LBM , 2013 .

[8]  Heinz Herwig,et al.  A temperature wall function for turbulent mixed convection from vertical, parallel plate channels , 2008 .

[9]  M. Yildiz,et al.  Numerical modeling of convective heat transfer of thermally developing nanofluid flows in a horizontal microtube , 2016 .

[10]  C. Chui,et al.  Construction of Compactly Supported Symmetric and Antisymmetric Orthonormal Wavelets with Scale = 3 , 1995 .

[11]  Siraj-ul-Islam,et al.  The numerical solution of second-order boundary-value problems by collocation method with the Haar wavelets , 2010, Math. Comput. Model..

[12]  Charles K. Chui,et al.  An Introduction to Wavelets , 1992 .

[13]  Santanu Saha Ray,et al.  On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation , 2012, Appl. Math. Comput..

[14]  Idiris Dağ,et al.  Solitary wave simulations of the Boussinesq Systems , 2016, 1605.04901.

[15]  Manoj Kumar,et al.  A composite numerical scheme for the numerical simulation of coupled Burgers' equation , 2014, Comput. Phys. Commun..

[16]  Ahmed Alsaedi,et al.  An analytical solution for magnetohydrodynamic Oldroyd-B nanofluid flow induced by a stretching sheet with heat generation/absorption , 2017 .

[17]  Ram Jiwari,et al.  A Haar wavelet quasilinearization approach for numerical simulation of Burgers' equation , 2012, Comput. Phys. Commun..

[18]  Idiris Dağ,et al.  Exponential B-Splines for Numerical Solutions to Some Boussinesq Systems for Water Waves , 2016 .

[19]  Saeed Zeinali Heris,et al.  Comparative study between metal oxide nanopowders on thermal characteristics of nanofluid flow through helical coils , 2013 .

[20]  Nilankush Acharya,et al.  The squeezing flow of Cu-water and Cu-kerosene nanofluids between two parallel plates , 2016 .

[21]  K. Khanafer,et al.  BUOYANCY-DRIVEN HEAT TRANSFER ENHANCEMENT IN A TWO-DIMENSIONAL ENCLOSURE UTILIZING NANOFLUIDS , 2003 .

[22]  G. Domairry,et al.  Squeezing Cu–water nanofluid flow analysis between parallel plates by DTM-Padé Method , 2014 .

[23]  D. Ganji,et al.  Analytical investigation of squeezing unsteady nanofluid flow between parallel plates by LSM and CM , 2015 .

[24]  Davood Domiri Ganji,et al.  Magnetic field effect on nanofluid flow and heat transfer using KKL model , 2014 .

[25]  Harpreet Kaur,et al.  Haar wavelet approximate solutions for the generalized Lane-Emden equations arising in astrophysics , 2013, Comput. Phys. Commun..