Influence of Chemical Reaction on the Heat and Mass Transfer of Nanofluid Flow Over a Nonlinear Stretching Sheet: A Numerical Study

Santoshi Misra 1  and K. Govardhan 2
  • 1 Department of Mathematics, St. Ann’s College for Women, Hyderabad, India
  • 2 Department of Mathematics, GITAM University Hyderabad, India


A numerical study on a steady, laminar, boundary layer flow of a nanofluid with the influence of chemical reaction resulting in the heat and mass transfer variation is made. The non-linear governing equations with related boundary conditions are solved using Adam’s predictor corrector method with the effect of a Brownian motion and thermophoresis being incorporated as a model for the nanofluid, using similarity transformations. Validation of the current numerical results has been made in comparison to the existing results in the absence of chemical reaction on MHD flows. The numerical solutions obtained for the velocity, temperature and concentration profiles for the choice of various parameters are represented graphically. Variations of heat and mass transfer across a Brownian motion and thermophoresis are studied and analyzed.

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  • [1] Sakiadis B.C. (1961): Boundary layer behaviour on continuous solid surfaces: I. Boundary layer equations for two dimensional and axisymmetric flow, II. The boundary layer on a continuous flat surface.−,

  • [2] Crane L.J. (1970): Flow past a stretching plate. − Journal of Applied Mathematics and Physics (ZAMP), vol.21, pp.645-647

  • [3] Anderson JD. (2009): Explicit finite difference methods: some selected applications to inviscid and viscous flows.− In: Comput Fluid Dyn. Berlin Heidelberg: Springer-Verlag.

  • [4] Hayat T. and Waqas M. (2014): Effects of Joule heating and thermophoresis on stretched flow with convective boundary conditions.− Scientia Iranica. Transaction B, Mechanical Engineering, vol.21, pp.682-692.

  • [5] Rana P. and Bhargava R. (2011): Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: A numerical study.

  • [6] Sheikholeslami M. (2016):CVFEM for magnetic nanofluid convective heat transfer in a porous curved enclosure. − The European Physical Journal Plus, vol.131, 253.

  • [7] Hayat T., Waqas M., Shehzad S.A. and Alsaedi A. (2016):On model of Burgers fluid subject to magneto nanoparticles and convective conditions. − Journal of Molecular Liquids, vol.222, pp.181-187.

  • [8] WaqasM., Muhammad Farooq Muhammad Ijaz Khan Ahmed Alsaedi, Hayat T. and Yasmeen T. (2016): Magnetohydrodynamic (MHD) mixed convection flow of micropolar liquid due to nonlinear stretched sheet with convective condition. − International Journal of Heat and Mass Transfer, vol.102, pp.766-772.

  • [9] Hayat T., Waqas M., Shehzad S.A. and Alsaedi A. (2016): Chemically reactive flow of third grade fluid by an exponentially convected stretching sheet. − Journal of Molecular Liquids, vol.223, pp.853-860.

  • [10] Hayat T., Waqas M., Shehzad S.A. and Alsaedi A. and Alsaedi A. (2016): On 2D stratified flow of an Oldroyd-B fluid with chemical reaction: An application of non-Fourier heat flux theory.− Journal of Molecular Liquids, vol.223, pp.566-571.

  • [11] Hayat T., QayyumS., Waqas M. and Alsaedi A. (2016): Thermally radiative stagnation point flow of Maxwell nanofluid due to unsteady convectively heated stretched surface. − Journal of Molecular Liquids, vol.224, pp.801-810.

  • [12] Hayat T., Qayyum S., Alsaedi A. and Waqas M. (2016): Simultaneous influences of mixed convection and nonlinear thermal radiation in stagnation point flow of Oldroyd-B fluid towards an unsteady convectively heated stretched surface.− Journal of Molecular Liquids, vol.224, pp.811-817.

  • [13] Hayat T., Waqas M., Alsaedi A., Bashir G. and Alzahrani F. (2017): Magnetohydrodynamic (MHD) stretched flow of tangent hyperbolic nanoliquid with variable thickness.− Journal of Molecular Liquids, vol.229, pp.178-184.

  • [14] Hayat T., Zubair M., Waqas M., Alsaedi A. and Ayub M. (2017): On doubly stratified chemically reactive flow of Powell–Eyring liquid subject to non-Fourier heat flux theory. − Results in Physics, vol.7, pp.99-106.

  • [15] Hayat T., Khalid H., Waqas M. and Alsaedi A. (2018): Numerical simulation for radiative flow of nanoliquid by rotating disk with carbon nanotubes and partial slip. − Computer Methods in Applied Mechanics and Engineering, vol.341, pp.397-408.

  • [16] Asghar Z., Ali N., Ahmed R., Waqas M. and Khan W.A. (2019): A mathematical framework for peristaltic flow analysis of non-Newtonian Sisko fluid in an undulating porous curved channel with heat and mass transfer effects. − Computer Methods and Programs in Biomedicine, vol.182, 105040.

  • [17] Waqas M., Shehzad S.A., Hayat T., Khan M.I. and Alsaedi A. (2019): Simulation of magnetohydrodynamics and radiative heat transport in convectively heated stratified flow of Jeffrey nanofluid.− Journal of Physics and Chemistry of Solids, vol.133, pp.45-51.

  • [18] Waqas M., Jabeen S., Hayat T., Khan M.I. and Alsaedi A. (2019): Modeling and analysis for magnetic dipole impact in nonlinear thermally radiating Carreau nanofluid flow subject to heat generation. − Journal ofMagnetism and Magnetic Materials, vol.485, pp.197-204.

  • [19] Waqas M., Hayat T. and Alsaedi A. (2019): A theoretical analysis of SWCNT–MWCNT and H 2 O nanofluids considering Darcy–Forchheimer relation. − Applied Nanoscience, vol.9, pp.1183-1191.

  • [20] Waqas M. (2020): A mathematical and computational framework for heat transfer analysis of ferromagnetic non-Newtonian liquid subjected to heterogeneous and homogeneous reactions. − Journal of Magnetism and Magnetic Materials, vol.493, 165646.

  • [21] Waqas M., Khan M.I., Hayat T., Gulzar M.M. and Alsaedi A. (2020): Transportation of radiative energy in viscoelastic nanofluid considering buoyancy forces and convective conditions. − Chaos, Solitons and Fractals, vol.130, 109415.

  • [22] Dogonchi A.S., Waqas M. and Ganji D.D. (2019): Shape effects of Copper-Oxide (CuO) nanoparticles to determine the heat transfer filled in a partially heated rhombus enclosure: CVFEM approach.− International Communications in Heat and Mass Transfer, vol.107, pp.14-23.

  • [23] Farooq S., Khan M.I., Waqas M., Hayat T. and Alsaedi A. (2020): Transport of hybrid type nanomaterials in peristaltic activity of viscous fluid considering nonlinear radiation, entropy optimization and slip effects. − Computer Methods and Programs in Biomedicine, vol.184, 105086.


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