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Heat and mass transport characteristics in viscous slip flow over a curved surface and entropy production

ABSTRACT
This study deals with heat and mass transport in viscous slip flow over a curved, permeable sheet stretching linearly in a porous medium. Various factors influencing heat and mass transport, such as non-uniform heat generation/absorption, thermal radiation, chemical reaction, and viscous dissipation, are invoked in the study. Under appropriate similarity transformation relations, the governing nonlinear PDEs are turned into ODEs in non-dimensional form, and then tackled numerically utilizing MATLbased bvp4c technique. The impacts of pertinent parameters are exhibited graphically on various relevant fields (velocity field, temperature field, concentration field) and discussed. Second law analysis is also presented in terms of entropy generation. Moreover, values of skin friction coefficient, Nusselt number, and Sherwood number are computed and presented in tabular form. For validity of the results obtained, the skin friction coefficient values are compared with previously published data and found to be in good agreement.
KEYWORDS
PAPER SUBMITTED: 2024-07-19
PAPER REVISED: 2024-11-06
PAPER ACCEPTED: 2024-02-16
PUBLISHED ONLINE: 2025-02-16
DOI REFERENCE: https://doi.org/10.2298/TSCI240719004O
REFERENCES
  1. Crane, L.J, Flow past a stretching plate, Zeitschrift für angewandte Mathematik und Physik ZAMP, 21(1970), pp. 645-647
  2. Cortell, R., Flow and heat transfer of a fluid through a porous medium over a stretching surface with internal heat generation/absorption and suction/blowing, Fluid Dynamics Research, 37 (2005), 4, pp. 231-245
  3. Ibrahim, W., Shanker, B., Unsteady boundary layer flow and heat transfer due to a stretching sheet by quasilinearization technique, World Journal of Mechanics, 1(2011), 6, pp. 288-293
  4. Nayak, M.K, et al., Heat and mass transfer effects on MHD viscoelastic fluid flow over a stretching sheet through porous medium in presence of chemical reaction, Propulsion and Power Research, 5(2016), 1, pp. 70-80
  5. Sajid, M., et al., Stretching a curved surface in a viscous fluid, Chinese Physics Letters, 27(2010), 2, pp. 024703
  6. Abbas, Z., et al., Heat transfer analysis for stretching flow over a curved surface with magnetic field, Journal of Engineering Thermophysics, 22(2013), pp. 337-345
  7. Roşca, N.C., Pop, I., Unsteady boundary layer flow over a permeable curved stretching/shrinking surface, European Journal of Mechanics-B/Fluids, 51(2015), pp. 61-67
  8. Abbas, Z., et al., Hydromagnetic slip flow of nanofluid over a curved stretching surface with heat generation and thermal radiation, Journal of Molecular Liquids, 215(2016), pp. 756-762
  9. Siddheshwar, P.G., et al., Flow and heat transfer in a Newtonian nanoliquid due to a curved stretching sheet, Zeitschrift für Naturforschung A, 72(2017), 9, pp. 833-842
  10. Kumar, A., et al., Effect of thermal radiation on MHD Casson fluid flow over an exponentially stretching curved sheet, Journal of Thermal Analysis and Calorimetry, 140(2020), pp. 2377-2385
  11. Sanni, K.M., et al., Heat transfer analysis for non-linear boundary driven flow over a curved stretching sheet with a variable magnetic field, Frontiers in Physics, 8 (2020), pp. 113
  12. Andersson, H.I., Slip flow past a stretching surface, Acta Mechanica, 158(2002), pp. 121-125
  13. Ariel, P.D., et al., The flow of an elastico-viscous fluid past a stretching sheet with partial slip, Acta Mechanica, 187(2006), pp. 29-35
  14. Chauhan, D.S., Olkha, A., Slip flow and heat transfer of a second-grade fluid in a porous medium over a stretching sheet with power-law surface temperature or heat flux, Chemical Engineering Communications, 198(2011), 9, pp. 1129-1145
  15. Ibrahim, W., Shankar, B., MHD boundary layer flow and heat transfer of a nanofluid past a permeable stretching sheet with velocity, thermal and solutal slip boundary conditions, Computers & Fluids, 75(2013), pp. 1-10
  16. Olkha, A., Dadheech, A., Unsteady magnetohydrodynamics slip flow of Powell-Eyring fluid with microorganisms over an inclined permeable stretching sheet, Journal of Nanofluids, 10(2021), 1, pp. 128-145
  17. Partha, M.K., et al., Effect of viscous dissipation on the mixed convection heat transfer from an exponentially stretching surface, Heat and Mass transfer, 41(2005), pp. 360-366
  18. Alinejad, J., Samarbakhsh, S., Viscous flow over nonlinearly stretching sheet with effects of viscous dissipation, Journal of Applied Mathematics, 2012(2012), S107, pp. 1-10
  19. Malik, M.Y., et al., Effects of viscous dissipation on MHD boundary layer flow of Sisko fluid over a stretching cylinder, AIP Advances, 6(2016), 3
  20. Srinivasacharya, D., Jagadeeshwar, P., Effect of viscous dissipation and thermophoresis on the flow over an exponentially stretching sheet, International Journal of Applied Mechanics and Engineering, 24(2019), 2, pp. 425-438
  21. Swain, B.K., et al., Viscous dissipation and Joule heating effect on MHD flow and heat transfer past a stretching sheet embedded in a porous medium, Heliyon, 6(2020), 10
  22. Postelnicu, A., Influence of chemical reaction on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects, Heat and Mass transfer, 43(2007), 6, pp. 595-602
  23. Bhattacharyya, K., Layek, G.C., Chemically reactive solute distribution in MHD boundary layer flow over a permeable stretching sheet with suction or blowing, Chemical Engineering Communications, 197(2010), 12, pp. 1527-1540
  24. Malik, M.Y., et al., Homogeneous-heterogeneous reactions in Williamson fluid model over a stretching cylinder by using Keller box method, AIP Advances, 5(2015), 10
  25. Raju, C.S.K., et al., Heat and mass transfer in magnetohydrodynamic Casson fluid over an exponentially permeable stretching surface, Engineering Science and Technology, an International Journal, 19(2016), 1, pp. 45-52
  26. Nagaraja, B., Gireesha, B.J., Exponential space-dependent heat generation impact on MHD convective flow of Casson fluid over a curved stretching sheet with chemical reaction, Journal of Thermal Analysis and Calorimetry, 143(2021), pp. 4071-4079
  27. Reddy, N.N., et al., Velocity slip, chemical reaction, and suction/injection effects on two‐dimensional unsteady MHD mass transfer flow over a stretching surface in the presence of thermal radiation and viscous dissipation, Heat Transfer, 51(2022), 2, pp. 1982-2002
  28. Gorla, R.S.R., et al., Melting heat transfer in a nanofluid flow past a permeable continuous moving surface, Journal of Naval Architecture and Marine Engineering, 8(2011), 2, pp. 83-92
  29. Hayat, T., et al., Melting heat transfer in the stagnation point flow of Powell-Eyring fluid, Journal of Thermophysics and Heat Transfer, 27(2013), 4, pp. 761-766
  30. Hashim, et al., Characteristics of melting heat transfer during flow of Carreau fluid induced by a stretching cylinder, The European Physical Journal E, 40(2017), pp. 1-9
  31. Gireesha, B.J., et al., MHD flow and melting heat transfer of dusty Casson fluid over a stretching sheet with Cattaneo-Christov heat flux model, International Journal of Ambient Energy, 43(2022), 1, pp. 2931-2939
  32. Olkha, A., Kumar, M., Heat transfer characteristics in non-Newtonian fluid flow due to a naturally permeable curved surface and chemical reaction, Heat Transfer, 52(2023), 8, pp. 5431-5453
  33. Bejan, A., A study of entropy generation in fundamental convective heat transfer, (1979)
  34. Bejan, A., Entropy generation minimization, Boca Raton F L CRC press, (1996)
  35. Narla, V.K., et al., Second-law analysis of the peristaltic flow of an incompressible viscous fluid in a curved channel, Journal of Engineering Physics and Thermophysics, 89(2016), pp. 441-448
  36. Baag, S., et al., Entropy generation analysis for viscoelastic MHD flow over a stretching sheet embedded in a porous medium, Ain Shams Engineering Journal, 8(2017), 4, pp. 623-632
  37. Narla, V.K., et al., Entropy analysis of MHD fluid flow over a curved stretching sheet, AIP Conference Proceedings, 2246(2020)
  38. Khan, M. J., et al., Entropy generation analysis in MHD flow of viscous fluid by a curved stretching surface with cubic autocatalysis chemical reaction, The European Physical Journal Plus, 135(2020), 2, pp. 1-17
  39. Olkha, A., Dadheech, A., Second law analysis for radiative magnetohydrodynamics slip flow for two different non-Newtonian fluids with heat source, Journal of Nanofluids, 10(2021a), 3, pp. 447-461
  40. Olkha, A., Dadheech, A., Second law Analysis for Casson fluid flow over permeable surface embedded in porous medium, Nonlinear Studies, 28(2021b), 4
  41. Mabood, F., et al., Entropy generation in the magnetohydrodynamic Jeffrey nanofluid flow over a stretching sheet with wide range of engineering application parameters, International Journal of Applied and Computational Mathematics, 8(2022), 98
  42. Ibrahim, W., Gizewu, T., Analysis of entropy generation of bio-convective on curved stretching surface with gyrotactic micro-organisms and third order slip flow, International Journal of Thermofluids, 17(2022), pp. 100277
  43. Olkha, A., Choudhary R., Investigation of melting heat transfer in viscous nanofluid flow including micro-organisms and entropy generation due to an inclined exponentially stretching sheet, Journal of Nanofluids, 13(2024), 2, pp. 446-463
  44. Abo-Eldahab, E.M., El Aziz, M.A., Blowing/suction effect on hydromagnetic heat transfer by mixed convection from an inclined continuously stretching surface with internal heat generation/absorption, International Journal of Thermal Sciences, 43(2004), 7, pp. 709-719
  45. Pantokratoras, A., Fang, T., Blasius flow with non-linear Rosseland thermal radiation, Meccanica, 49(2014), pp. 1539-1545
  46. Arpaci, V.S., Radiative entropy production—lost heat into entropy, International Journal of Heat and Mass Transfer, 30(1987), 10, pp. 2115-2123