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Computational Thermal Sciences: An International Journal

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EXOTHERMICALLY REACTING OF NON-NEWTONIAN FLUID FLOW OVER A PERMEABLE NONLINEAR STRETCHING VERTICAL SURFACE WITH HEAT AND MASS FLUXES

Volume 9, Issue 4, 2017, pp. 283-296
DOI: 10.1615/ComputThermalScien.2017020298
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Mohamed R. Eid
Department of Mathematics, Faculty of Science, New Valley Branch, Assiut University, Al-Kharga, Al-Wadi Al-Jadid 72511, Egypt
S. R. Mishra
Department of Mathematics, Siksha 'O' Anusandhan Deemed to be University, Khandagiri, Bhubaneswar-751030, Odisha, India

ABSTRACT

This paper reports the mathematical model of the heat and mass transfer in a non-Newtonian fluid flow through a permeable nonlinear stretching vertical wall in the presence of such effects as exothermically reacting, heat generation/absorption, thermal radiation, and heat and mass fluxes. A similarity transformation is used to reduce the controlling partial differential equations (PDEs) into ordinary ones, which are solved numerically by an efficient numerical shooting technique with a fourth-fifth order Runge–Kutta method. Numerical results for the temperature and concentration profiles as well as for the local skin friction, Nusselt number, and Sherwood number are obtained and depicted graphically for different parametric conditions to illustrate interesting aspects of the solution. It is found that the source parameter enhances the distribution at all points, and heavier species cause a lower concentration level near the concentration boundary layer.

KEY WORDS: non-Newtonian fluid, heat and mass transfer, permeable nonlinear stretched vertical surface, exothermically reaction
CITED BY

  1. Yusuf Taiwo S., Jha Basant K., A semi-analytical solution for time-dependent natural convection flow with heat generation/absorption in an annulus partially filled with porous material, Multidiscipline Modeling in Materials and Structures, 14, 5, 2018. Crossref

  2. Hayat T., Muhammad Khursheed, Alsaedi A., Asghar S., Thermodynamics by melting in flow of an Oldroyd-B material, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 40, 11, 2018. Crossref

  3. Eid Mohamed R., Makinde O.D., Solar Radiation Effect on a Magneto Nanofluid Flow in a Porous Medium with Chemically Reactive Species, International Journal of Chemical Reactor Engineering, 16, 9, 2018. Crossref

  4. Hayat Tasawar, Ayub Tayyaba, Muhammad Taseer, Ahmad Bashir, Nonlinear Computational Treatment for Couple Stress Fluid Flow with Cattaneo-Christov Double Diffusion and Homogeneous-Heterogeneous Reactions, International Journal of Chemical Reactor Engineering, 17, 1, 2019. Crossref

  5. Chakraborty Tanmoy, Das Kalidas, Kundu Prabir Kumar, Multiple convection-driven Falkner-Skan flow of Carreau nanofluid along a permeable wedge: An analytical approach, Heat Transfer-Asian Research, 48, 3, 2019. Crossref

  6. Jyothi K., Sudarsana Reddy P., Suryanarayana Reddy M., Carreau nanofluid heat and mass transfer flow through wedge with slip conditions and nonlinear thermal radiation, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 41, 10, 2019. Crossref

  7. Rao A. Subba, Sainath Seela, Rajendra P., Ramu G., Mathematical Modelling of Hydromagnetic Casson non-Newtonian Nanofluid Convection Slip Flow from an Isothermal Sphere, Nonlinear Engineering, 8, 1, 2019. Crossref

  8. Mabood F, Ibrahim S M, Khan W A, Effect of melting and heat generation/absorption on Sisko nanofluid over a stretching surface with nonlinear radiation, Physica Scripta, 94, 6, 2019. Crossref

  9. Bazdidi-Tehrani Farzad, Khanmohamadi Seyed Mehdi, Vasefi Seyed Iman, Evaluation of turbulent forced convection of non-Newtonian aqueous solution of CMC/CuO nanofluid in a tube with twisted tape inserts, Advanced Powder Technology, 31, 3, 2020. Crossref

  10. Gahgah Mounir, Sari Mohamed R., Kezzar Mohamed, Eid Mohamed R., Duan–Rach modified Adomian decomposition method (DRMA) for viscoelastic fluid flow between nonparallel plane walls, The European Physical Journal Plus, 135, 2, 2020. Crossref

  11. Acharya S., Nayak B., Mishra S. R., Jena S., Adomian decomposition method for the MHD flow of a viscous fluid with the influence of dissipative heat energy, Heat Transfer, 49, 8, 2020. Crossref

  12. Kezzar Mohamed, Tabet Ismail, Eid Mohamed R., A new analytical solution of longitudinal fin with variable heat generation and thermal conductivity using DRA, The European Physical Journal Plus, 135, 1, 2020. Crossref

  13. Boumaiza Nawel, Kezzar Mohamed, Eid Mohamed R., Tabet Ismail, On numerical and analytical solutions for mixed convection Falkner-Skan flow of nanofluids with variable thermal conductivity, Waves in Random and Complex Media, 31, 6, 2021. Crossref

  14. Khan Aamir Abbas, Khan Muhammad Naveed, Ahsan Naveed, Khan M Ijaz, Muhammad Taseer, Rehman Ayesha, Heat and mass transfer features of transient second-grade fluid flow through an exponentially stretching surface, Pramana, 96, 2, 2022. Crossref

  15. Rajput Govind R., Shamshuddin MD., Salawu Sulyman O., Thermosolutal convective non‐Newtonian radiative Casson fluid transport over a vertical plate propagated by Arrhenius kinetics with heat source/sink, Heat Transfer, 50, 3, 2021. Crossref

  16. Kuttan B. Ammani, Manjunatha S., Jayanthi S., Gireesha B.J., Performance of Four Different Nanoparticles in Boundary Layer Flow Over a Stretching Sheet in Porous Medium Driven by Buoyancy Force, International Journal of Applied Mechanics and Engineering, 25, 2, 2020. Crossref

  17. Fenizri Wassila, Kezzar Mohamed, Sari Mohamed R., Tabet Ismail, Eid Mohamed R., New modified decomposition method (DRMA) for solving MHD viscoelastic fluid flow: comparative study, International Journal of Ambient Energy, 43, 1, 2022. Crossref

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