THERMAL SCIENCE

International Scientific Journal

Tasawar Hayat

,

Ikram Ullah

,

Ahmed Alsaedi

,

Bashir Ahmad

IMPACT OF TEMPERATURE DEPENDENT HEAT SOURCE AND NON-LINEAR RADIATIVE FLOW OF THIRD GRADE FLUID WITH CHEMICAL ASPECTS

ABSTRACT
This communication explores the MHD flow of third grade fluid bounded by a stretching surface with homogeneous-heterogeneous reactions. Incompressible fluid is electrically conducting in the presence of constant magnetic field. Heat transfer is performed through exponential based space internal heat source, non-linear thermal radiation and convective boundary condition. Non-linear differential systems are computed by homotopic technique. Intervals of convergence through numerical data and plots are explicitly determined. The dimensionless velocity, temperature, and concentration distributions manifesting the characteristics of various influential parameters are addressed. The skin friction coefficient and local Nusselt number are also addressed. Clearly temperature is enhanced by radiation, temperature ratio, and magnetic parameters.
KEYWORDS
non-linear thermal radiation, MHD, Exponential based heat source, homogeneous-heterogeneous reactions
PAPER SUBMITTED: 2018-04-09
PAPER REVISED: 2018-08-09
PAPER ACCEPTED: 2018-08-11
PUBLISHED ONLINE: 2018-09-30
DOI REFERENCE: https://doi.org/10.2298/TSCI180409245H
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Issue 2, PAGES [1173 - 1182]
REFERENCES
  1. Okoya, S. S., Flow, thermal criticality and transition of a reactive third-grade fluid in a pipe with Reynolds model viscosity, Journal of Hydrodynamics, Ser. B, 28 (2016), 1, pp. 84-94
  2. Li, S. X., Jian, Y. J., Xie, Z. Y., Liu, Q. S., Li, F. Q., Rotating electro-osmatic flow of third grade fluids between two microparallel plates, Collids and Surfaces A, 470 (2015), pp. 240-247
  3. Aziz, T., Mahomed, F. M., Auyb, M. Mason, D. P., Nonlinear time-dependent flow models of third grade fluids: A conditional symmetry approch, International Journal of Non-Linear Mechanics, 54 (2013), pp. 55-65
  4. Abdelhameed, M., Varnhorn, W., Hashim, I., Roslan, R., The unsteady flow of third grade fluid caused by the periodic motion of an infinite wall with transpiration, Alexandria Engineering 10 Journal, 54 (2015), 4, pp. 1233-1241
  5. Sinha, A., MHD flow and heat transfer of third order fluid in a porous channel with stretching wall: Application to hemodynamics, Alexandria Engineering Journal, 54 (2015), 4, pp. 1243-1252
  6. Abbasbandy, S., Hayat, T., Mahomed, F. M., Ellahi, R., On comparison of exact and series solutions for thin film flow of a third grade fluid, International Journal for Numerical Methods in Fluids, 61 (2009), pp. 987-994
  7. Hussain, T., Hayat, T., Shehzad, S. A., Alsaedi, A., Chen, B., A model of solar radiation and Joule heating in flow of third grade nanofluid, Zeitschrift für Naturforschung A, 70 (2015), 3, pp. 177-184
  8. Sahoo B., Poncet S., Flow and heat transfer of a third grade fluid past an exponentially stretching sheet with partial slip boundary condition, International Journal of Heat and Mass Transfer, 54 (2011), pp. 5010-5019
  9. Sahoo B., Do Y., Effects of slip on sheet-driven flow and heat transfer of a third grade fluid past a stretching sheet, International Communications in Heat and Mass Transfer, 37 (2010), pp. 1064-1071
  10. Sahoo B., Effects of slip on sheet-driven flow and heat transfer of a non-Newtonian fluid past a stretching sheet, Computers and Mathematics with Applications, 61 (2011), pp. 1442-1456
  11. Hayat, T., Ullah, I., Muhammad, T., Alsaedi, A., A revised model for stretched flow of third grade fluid subject to magneto nanoparticles and convective condition, Journal of Molecular Liquids, 230 (2017), pp. 608-615
  12. Crane, L. J., Flow past a stretching plate, Zeitschrift für angewandte Mathematik und Physik ZAMP, 21 (1970), 4, pp. 645-647
  13. Bhattacharyya, K., Boundary layer flow and heat transfer over an exponentially shrinking sheet, Chinese Physics Letters, 28 (2011), pp. 074701
  14. Mukhopadhyay, S., Effects of slip on unsteady mixed convective flow and heat transfer past a stretching surface, Chinese Physics Letters, 27 (2010), pp. 124401
  15. Turkyilmazoglu, M., Multiple solutions of hydromagnetic permeable flow and heat transfer for viscoelastic fluid, Journal of Thermophysics and Heat Transfer, 25 (2011), pp. 595-605
  16. Zheng, L., Niu, J., Zhang, X., Gao, Y., MHD flow and heat transfer over a porous shrinking surface with velocity slip and temperature jump, Mathematical and Computer Modelling, 56 (2012), 5-6, pp. 133-144
  17. Hayat, T., Ullah, I., Alsaedi A., Ahmad, B., Radiative flow of Carreau liquid in presence of Newtonian heating and chemical reaction, Results in Physics, 7 (2017), pp. 715-722
  18. Hayat, T., Anwar, M. S., Farooq, M., Alsaedi, A, Mixed convection flow of viscoelastic fluid by a stretching cylinder with heat transfer, PLoS One, 10 (2015), pp. e0118815
  19. Hayat, T., Ullah, I., Alsaedi A., Ahmad, B., Modeling tangent hyperbolic nanoliquid flow with heat and mass flux conditions, The European Physical Journal Plus, 132 (2017), pp. 112
  20. Rehman K. U., Malik M. Y., Salahuddin T., Naseer M., Dual stratified mixed convection flow of Eyring-Powell fluid over an inclined stretching cylinder with heat generation/absorption effect, AIP Advances, 6 (2016), pp. 075112
  21. Hayat, T., Ullah, I., Alsaedi, A., Farooq, M., MHD flow of Powell-Eyring nanofluid over a non-linear stretching sheet with variable thickness, Results in Physics, 7 (2017), pp. 189-196
  22. Bibi M., Rehman K. U., Malik M. Y., Tahir M., Numerical study of unsteady Williamson fluid flow and heat transfer in the presence of MHD through a permeable stretching surface, The European Physical Journal Plus, 133 (2018), pp. 154
  23. Hayat, T., Ullah, I., Muhammad, T., and Alsaedi, A., Magnetohydrodynamic (MHD) three-dimensional flow of second grade nanofluid by a convectively heated exponentially stretching surface, Journal of Molecular Liquids, 220 (2016), pp. 1004-1012
  24. Rehman K. U., Khan A. A., Malik M. Y., Makinde O. D., Thermophysical aspects of stagnation point magnetonanofluid flow yields by an inclined stretching cylindrical surface: a non-Newtonian fluid model, Journal of the Brazilian Society of Mechanical Sciences and Engineering 39 (2017), pp. 3669-3682
  25. Hayat, T., Ullah, I., Muhammad, T., Alsaedi, A., Radiative three-dimensional flow with Soret and Dufour effects, International Journal of Mechanical Sciences, 133 (2017), pp. 829-837
  26. Hayat, T., Ullah, I., Muhammad, T., Asghar, S., MHD stagnation-point flow of Sisko liquid with melting heat transfer and heat generation/absorption, Journal of Thermal Sciences and Engineering Applications, (2018) pp. 051015
  27. Rehman K. U., Khan A. A., Malik M. Y., Magneto-nanofluid numerical modelling of chemically reactive Eyring-Powell fluid flow towards both flat and cylindrical an inclined surfaces: A comparative study, AIP Advances 7 (2017), pp. 065103
  28. Rehman K. U., Malik M. Y., Bilal S., Bibi M., Numerical analysis for MHD thermal and solutal stratified stagnation point flow of Powell-Eyring fluid induced by cylindrical surface with dual convection and heat generation effects, Results in physics, 7 (2017), pp. 482-492
  29. Merkin, J. H., A model for isothermal homogeneous-heterogeneous reactions in boundary layer flow, Mathematical and Computer Modelling, 24 (1996), pp. 125-136
  30. Chaudhary, M. A., Merkin, J. H., A simple isothermal model for homogeneous-heterogeneous reactions in boundary layer flow: I. Equal diffusivities, Fluid Dynamics Research, 16 (1995), 6, pp. 311-333
  31. Khan, W. A., Pop, I., Effects of homogeneous-heterogeneous reactions on the viscoelastic fluid towards a stretching sheet, Journal of Heat Transfer | ASME DC, 134 (2012), pp. 064506
  32. Hayat, T., Imtiaz, M., Almezal, S., Modeling and analysis for three-dimensional flow with homogeneous-heterogeneous reactions, AIP Advances, 5 (2015), pp. 107209
  33. Hayat, T., Hussain, Z., Farooq, M. Alsaedi, A., Effects of homogeneous and heterogeneous reactions and melting heat in the viscoelastic fluid flow, Journal of Molecular Liquids, 215 (2016), pp. 749-755
  34. Liao, S. J., Homotopy analysis method in nonlinear differential equations, Springer & Higher Education Press, Heidelberg, 2012.
  35. Turkyilmazoglu, M., Solution of the Thomas-Fermi equation with a convergent approach, Communications in Nonlinear Science and Numerical Simulation, 17 (2012), pp. 4097-4103
  36. Abbasbandy, S., Hayat, T., Alsaedi, A. Rashidi, M. M., Numerical and analytical solutions for Falkner-Skan flow of MHD Oldroyd-B fluid, International Journal of Numerical Methods for Heat and Fluid Flow, 24 (2014), pp. 390-401
  37. Hayat, T., Ullah, I., Alsaedi, A., Waqas, M., Ahmad, B., Three-dimensional mixed convection flow of Sisko nanoliquid, International Journal of Mechanical Sciences, 133 (2017), pp. 273-282
  38. Ullah I., Waqas M., Hayat T., Alsaedi A. and Khan M. I., Thermally radiated squeezed flow of magneto-nanofluid between two parallel disks with chemical reaction, J. Therm. Anal. Calorim., (2018) Doi.org/10.1007/s10973-018-7482-6.
  39. Rashidi, M. M., Ashraf, M., Rostami, B., Rastegari, M. T., Bashir, S., Mixed convection boundary layer flow of micro polar fluid towards a heated shrinking sheet by homotopy analysis method, Thermal science, 20 (2016), pp. 21-34
  40. S. Ahmad, Khan, M. I., Khan, M. W. A., Tufail, A., Hayat, T., Ahmed. A., Impact of arrhenius activation energy in viscoelastic nanomaterial flow subject to binary chemical reaction and nonlinear mixed convection, Thermal Science, (2018) pp. 212-212
  41. Hayat, T., Ullah, I., Muhammad, T., Asghar, S., Flow of magneto Williamson nanoliquid towards stretching sheet with variable thickness and double stratification, Radiation Physics Chemistry (2018), doi.org/10.1016/j.radphyschem.2018.07.006
  42. Sui, J., Zheng, L., Zhang, X., Chen, G., Mixed convection heat transfer in power law fluids over a moving conveyor along an inclined plate, International Journal of Heat and Mass Transfer, 85 (2015), pp. 1023-1033
  43. Hayat, T., Ullah, I., Ahmed, B., Alsaedi A., MHD mixed convection flow of third grade liquid subject to non-linear thermal radiation and convective condition, Results Physics, 7 (2017), pp. 2804-2811
  44. Zaigham Zia, Q. M., Ullah, I., Waqas, M., Alsaedi, A., Hayat, T., Cross diffusion and exponential space dependent heat source impacts in radiated three-dimensional (3D) flow of Casson fluid by heated surface, Results in Physics, 8 (2018), pp. 1275-1282
  45. Hayat, T., Ullah, I., Alsaedi, A., Ahmed, B., Numerical simulation for homogeneous-heterogeneous reactions in flow of Sisko fluid, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 40 (2018), pp. 73
  46. Hayat, T., Ullah, I., Alsaedi, A., Ahmed, B., Simultaneous effects of non-linear mixed convection and radiative flow due to Riga-plate with double stratification, Journal of Heat Transfer, 140 (2018), pp. 102008
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Impact of temperature dependent heat source and non-linear radiative flow of third grade fluid with chemical aspects

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence