Modified heat and mass transmission models in the magnetohydrodynamic flow of Sutterby nanofluid in stretching cylinder

Abstract This exploration addresses the boundary layer flow of Sutterby nanofluid by a stretched cylinder by incorporating the revised models for heat and mass transmissions by engaging Cattaneo–Christov theory. A mathematical model is developed under boundary layer analysis. The physical phenomenon is firstly derived in the form of partial differential equations by engaging the conservation laws. Modified Darcy’s law characterizes the porous medium. The nonlinear equations for the proposed model are analyzed optimally and dynamically. Nonlinear partial differential equations (PDEs) through conservation laws of mass, momentum, energy and concentration are established. Numerical solutions of the nonlinear systems are obtained by Optimal homotopy analysis method (OHAM). Stream plots are given for velocity solution. Graphs of velocity, temperature and concentration profiles are sketched and discussed with physical significances. It is reported that escalating values of the magnetic parameter boost the fluid temperature and concentration whereas the opposite impact on velocity is portrayed. Moreover, temperature and concentration fields decreases by growing the values of thermal and solutal relaxation parameters.

[1]  Liancun Zheng,et al.  Heat transfer in pseudo-plastic non-Newtonian fluids with variable thermal conductivity , 2011 .

[3]  S. Abdelsalam,et al.  On the onset of entropy generation for a nanofluid with thermal radiation and gyrotactic microorganisms through 3D flows , 2020, Physica Scripta.

[4]  Tao Fan,et al.  Analysis of three-dimensional boundary-layer nanofluid flow and heat transfer over a stretching surface by means of the homotopy analysis method , 2015 .

[5]  D. Ganji,et al.  Two phase modeling of nanofluid flow in existence of melting heat transfer by means of HAM , 2018 .

[6]  M. Awais,et al.  Time-dependent flow of UCM fluid with chemical reaction, thermal-diffusion and diffusion-thermo effects , 2014 .

[7]  Mohammad Mehdi Rashidi,et al.  Gegenbauer wavelets collocation-based scheme to explore the solution of free bio-convection of nanofluid in 3D nearby stagnation point , 2018, Neural Computing and Applications.

[8]  Liancun Zheng,et al.  Boundary layer heat and mass transfer with Cattaneo–Christov double-diffusion in upper-convected Maxwell nanofluid past a stretching sheet with slip velocity , 2016 .

[9]  S. Liao.  An optimal homotopy-analysis approach for strongly nonlinear differential equations , 2010 .

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

[11]  Wei Wang,et al.  Natural convection effects on heat and mass transfer of slip flow of time-dependent Prandtl fluid , 2019, J. Comput. Des. Eng..

[12]  Wei Wang,et al.  Shape effects of MoS2 nanoparticles on rotating flow of nanofluid along a stretching surface with variable thermal conductivity: A Galerkin approach , 2018, International Journal of Heat and Mass Transfer.

[13]  Muhammad Usman,et al.  Wavelet investigation of Soret and Dufour effects on stagnation point fluid flow in two dimensions with variable thermal conductivity and diffusivity , 2019, Physica Scripta.

[14]  Wei Wang,et al.  A study of heat transfer analysis for squeezing flow of a Casson fluid via differential transform method , 2018, Neural Computing and Applications.

[15]  Mohsen Sheikholeslami,et al.  Numerical simulation for impact of Coulomb force on nanofluid heat transfer in a porous enclosure in presence of thermal radiation , 2018 .

[16]  M. Y. Malik,et al.  Dynamical and optimal procedure to analyze the exhibition of physical attributes imparted by Sutterby magneto-nanofluid in Darcy medium yielded by axially stretched cylinder , 2020 .

[17]  T. Hayat,et al.  Three-dimensional flow of nanofluid with heat and mass flux boundary conditions , 2017 .

[18]  Zafar Hayat Khan,et al.  Numerical study of unsteady MHD flow of Williamson nanofluid in a permeable channel with heat source/sink and thermal radiation , 2018, The European Physical Journal Plus.

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

[20]  N. Sandeep,et al.  Radiation and Inclined Magnetic Field Effects on Unsteady Hydromagnetic Free Convection Flow past an Impulsively Moving Vertical Plate in a Porous Medium , 2014 .

[21]  R. Naz,et al.  Thermal performance of an MHD radiative Oldroyd-B nanofluid by utilizing generalized models for heat and mass fluxes in the presence of bioconvective gyrotactic microorganisms and variable thermal conductivity , 2019, Heat Transfer-Asian Research.

[22]  M. Turkyilmazoglu.  A note on micropolar fluid flow and heat transfer over a porous shrinking sheet , 2014 .

[23]  Davood Domiri Ganji,et al.  Nanofluid flow and heat transfer between parallel plates considering Brownian motion using DTM , 2015 .

[24]  T. Hayat,et al.  MHD boundary layer flow of Casson fluid passing through an exponentially stretching permeable surface with thermal radiation , 2014 .

[25]  R. Naz,et al.  Heat transport in the convective Casson fluid flow with homogeneous‒heterogeneous reactions in Darcy‒Forchheimer medium , 2019, Multidiscipline Modeling in Materials and Structures.

[26]  Mustafa Turkyilmazoglu,et al.  Anomalous heat transfer enhancement by slip due to nanofluids in circular concentric pipes , 2015 .

[27]  Weiqi Wang,et al.  Least square study of heat transfer of water based Cu and Ag nanoparticles along a converging/diverging channel , 2018 .

[28]  M. Usman,et al.  Heat and fluid flow of water and ethylene-glycol based Cu-nanoparticles between two parallel squeezing porous disks: LSGM approach , 2018, International Journal of Heat and Mass Transfer.

[29]  Nanoparticle Analysis for Non-Orthogonal Stagnation Point Flow of a Third Order Fluid Towards a Stretching Surface , 2013 .

[30]  M. Y. Malik,et al.  Effect logs of double diffusion on MHD Prandtl nano fluid adjacent to stretching surface by way of numerical approach , 2017 .

[31]  T. Hayat,et al.  Three-dimensional rotating flow between two porous walls with slip and heat transfer , 2012 .

[32]  T. Hayat,et al.  Numerical simulation for peristaltic activity of Sutterby fluid with modified Darcy’s law , 2017 .

[33]  Wei Wang,et al.  Heat transfer and flow analysis of Casson fluid enclosed in a partially heated trapezoidal cavity , 2019, International Communications in Heat and Mass Transfer.

[34]  M. Sheikholeslami.  Numerical investigation of nanofluid free convection under the influence of electric field in a porous enclosure , 2018 .

[35]  Trung Nguyen-Thoi,et al.  CVFEM modeling for nanofluid behavior involving non-equilibrium model and Lorentz effect in appearance of radiation , 2019, Physica A: Statistical Mechanics and its Applications.

[36]  Rizwan Ul Haq,et al.  MHD flow of a Casson fluid over an exponentially shrinking sheet , 2012 .

[37]  M. Y. Malik,et al.  Upshot of ohmically dissipated Darcy-Forchheimer slip flow of magnetohydrodynamic Sutterby fluid over radiating linearly stretched surface in view of Cash and Carp method , 2019, Applied Mathematics and Mechanics.

[38]  Dharmendra Tripathi,et al.  MHD dissipative flow and heat transfer of Casson fluids due to metachronal wave propulsion of beating cilia with thermal and velocity slip effects under an oblique magnetic field , 2016 .