Influence of flow parameters in incompressible electrically conducting fluid over a stretching plate with a surface condition factor
Shahryar Hajizadeh
Department of Mechanical Engineering, North Tehran Branch, Islamic Azad University, Tehran, Iran
Search for more papers by this authorBahram Jalili
Department of Mechanical Engineering, North Tehran Branch, Islamic Azad University, Tehran, Iran
Search for more papers by this authorPayam Jalili
Department of Mechanical Engineering, North Tehran Branch, Islamic Azad University, Tehran, Iran
Search for more papers by this authorDavood Domiri Ganji
Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran
Search for more papers by this authorCorresponding Author
Hijaz Ahmad
Operational Research Center in Healthcare, Near East University, Nicosia/TRNC Mersin 10, Turkey
Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, Saudi Arabia
Department of Mathematics, College of Science, Korea University, Seongbuk-gu, Seoul, South Korea
Department of Technical Sciences, Western Caspian University, Baku, Azerbaijan
Correspondence
Hijaz Ahmad, Operational Research Center in Healthcare, Near East University, Near East Boulevard, Nicosia/TRNC, 99138 Mersin 10, Turkey.
Email: [email protected]
Search for more papers by this authorShahryar Hajizadeh
Department of Mechanical Engineering, North Tehran Branch, Islamic Azad University, Tehran, Iran
Search for more papers by this authorBahram Jalili
Department of Mechanical Engineering, North Tehran Branch, Islamic Azad University, Tehran, Iran
Search for more papers by this authorPayam Jalili
Department of Mechanical Engineering, North Tehran Branch, Islamic Azad University, Tehran, Iran
Search for more papers by this authorDavood Domiri Ganji
Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran
Search for more papers by this authorCorresponding Author
Hijaz Ahmad
Operational Research Center in Healthcare, Near East University, Nicosia/TRNC Mersin 10, Turkey
Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, Saudi Arabia
Department of Mathematics, College of Science, Korea University, Seongbuk-gu, Seoul, South Korea
Department of Technical Sciences, Western Caspian University, Baku, Azerbaijan
Correspondence
Hijaz Ahmad, Operational Research Center in Healthcare, Near East University, Near East Boulevard, Nicosia/TRNC, 99138 Mersin 10, Turkey.
Email: [email protected]
Search for more papers by this authorAbstract
This paper analyzed the simultaneous transfer of matter and thermal energy in the hydrodynamic movement of a micropolar liquid across an expanding surface, taking into account both the effects of viscosity loss and chemical interactions under the influence of a magnetic field. The finite element approach has been applied to scrutinize the permeation of important flow variables on the flow repartition functions. Another approach was an analytical solution using the Akbari-Ganji method named AGM. This study analyzed key factors that influence velocities, concentration, temperatures, and microrotation functions. The results show that all functions except temperature are inversely affected by the micropolar factor. In contrast, as a result of the micro rotational parameter, the temperature and concentration function go up while the speed goes down. The higher values of the Eckert number lead to higher temperatures and lower concentrations, which are amplified by the Schmidt number. The numerical method (Runge–Kutte 4th) was used as a benchmark to evaluate the accuracy, efficiency, and simplicity results.
REFERENCES
- 1Sakiadis, B.C.: Boundary-layer behavior on continuous solid surfaces: I. Boundary-layer equations for two-dimensional and axisymmetric flow. AIChE J. 7, 26–28 (1961)
- 2Tsou, F.K., Sparrow, E.M., Goldstein, R.J.: Flow and heat transfer in the boundary layer on a continuous moving surface. Int. J. Heat Mass Transf. 10, 219–235 (1967)
- 3Cortell, R.: Effects of viscous dissipation and radiation on the thermal boundary layer over a non-linearly stretching sheet. Phys. Lett. A 372, 631–636 (2008)
- 4Pop, I., Na, T.Y.: A note on MHD flow over a stretching permeable surface. Mech. Res. Commun. 25, 263–269 (1998)
- 5Nadeem, S., Hussain, A.: MHD flow of a viscous fluid on a nonlinear porous shrinking sheet with homotopy analysis method. Appl. Math. Mech. 30, 1569–1578 (2009)
10.1007/s10483-009-1208-6 Google Scholar
- 6Bhattacharyya, K.: Steady boundary layer flow and reactive mass transfer past an exponentially stretching surface in an exponentially moving free stream. J. Egypt. Math. Soc. 20, 223–228 (2012)
10.1016/j.joems.2012.08.018 Google Scholar
- 7Yasin, M.H.M., Ishak, A., Pop, I.: MHD heat and mass transfer flow over a permeable stretching/shrinking sheet with radiation effect. J. Magn. Magn. Mater. 407, 235–240 (2016)
- 8Rajotia, D., Jat, R.N.: Unsteady three-dimensional boundary layer flow with diffusion and first-order chemical reaction due to a permeable axisymmetric shrinking sheet with suction. J. Energy Heat Mass Transf. 36 (2014)
- 9Mandal, I.C., Mukhopadhyay, S.: Heat transfer analysis for fluid flow over an exponentially stretching porous sheet with surface heat flux in porous medium. Ain Shams Eng. J. 4(1), 103–110 (2013)
10.1016/j.asej.2012.06.004 Google Scholar
- 10Elbashbeshy, E.M.A.: Heat and mass transfer along a vertical plate with variable surface tension and concentration in the presence of the magnetic field. Int. J. Eng. Sci. 35(5), 515–522 (1997)
- 11Cortell, R.: Effects of viscous dissipation and radiation on the thermal boundary layer over a non-linearly stretching sheet. Phys. Lett. A 372(5), 631–636 (2008)
- 12Muthucumaraswamy, R., Sathappan, K.E., Natarajan, R.: Heat transfer effects on flow past an exponentially accelerated vertical plate with variable temperature. Theor. Appl. Mech. 35(4), 323–331 (2008). https://doi.org/10.2298/TAM0804323M
10.2298/TAM0804323M Google Scholar
- 13Bidin, B., Nazar, R.: Numerical solution of the boundary layer flow over an exponentially stretching sheet with thermal radiation. Eur. J. Sci. Res. 33(4), 710–717 (2009)
- 14Rashad, A.M.: Effects of radiation and variable viscosity on unsteady MHD flow of a rotating fluid from stretching surface in porous medium. J. Egyptian Math. Soc. 22(1), 134–142 (2014)
10.1016/j.joems.2013.05.008 Google Scholar
- 15Abdel-Rahman, G.M.: Studying effect of MHD on thin films of a micropolar fluid. Physica B. 404(21), 3859–3866 (2009)
- 16Sankara, K.K., Watson, L.T.: Micropolar flow past a stretching sheet. Z. Angew. Math. Phys. 36(6), 845–853 (1985). https://doi.org/10.1007/BF00944898
- 17Pal, D., Chatterjee, S.: MHD mixed convection stagnation-point flow of a micropolar fluid in a porous medium towards a heated stretching sheet with thermal radiation. Math. Model. Anal. 17(4), 498–518 (2012)
- 18Abd El-Aziz, M.: Viscous dissipation effect on mixed convection flow of a micropolar fluid over an exponentially stretching sheet. Can. J. Phys. 87(4), 359–368 (2009)
- 19Hussain, M., et al.: Radiation effects on the thermal boundary layer flow of a micropolar fluid towards a permeable stretching sheet. J. Franklin Inst. 350(1), 194–210 (2013)
- 20Uddin, M.S., Bhattacharyya, K., Shafie, S.: Micropolar fluid flow and heat transfer over an exponentially permeable shrinking sheet. Propuls. Power Res. 5(4), 310–317 (2016). https://doi.org/10.1016/j.jppr.2016.11.005
10.1016/j.jppr.2016.11.005 Google Scholar
- 21Pal, D., Mandal, G.: Thermal radiation and MHD effects on boundary layer flow of micropolar nanofluid past a stretching sheet with non-uniform heat source/sink. Int. J. Mech. Sci. 126, 308–318 (2017)
- 22Mahmoud, M.A.A., Waheed, S.E.: MHD flow and heat transfer of a micropolar fluid over a stretching surface with heat generation (absorption) and slip velocity. J. Egyptian Math. Soc. 20(1), 20–27 (2012)
10.1016/j.joems.2011.12.009 Google Scholar
- 23Kumar, L.: Finite element analysis of combined heat and mass transfer in hydromagnetic micropolar flow along a stretching sheet. Comput. Mater. Sci. 46(4), 841–848 (2009)
- 24Goud, B.S., Nandeppanavar, M.M.: Ohmic heating and chemical reaction effect on MHD flow of micropolar fluid past a stretching surface. Partial Differ. Equ. Appl. Math. 4, 100104 (2021)
10.1016/j.padiff.2021.100104 Google Scholar
- 25Bejawada, S.G., Khan, Z.H., Hamid, M.: Heat generation/absorption on MHD flow of a micropolar fluid over a heated stretching surface in the presence of the boundary parameter. Heat Transf. 50(6), 6129–6147 (2021)
- 26Reddy, Y.D., Goud, B.S.: MHD heat and mass transfer stagnation point nanofluid flow along a stretching sheet influenced by thermalradiation. J. Therm. Anal. Calorim. 147, 11991–12003 (2022)
- 27Jalili, P., et al.: Study of nonlinear radiative heat transfer with magnetic field for non-Newtonian Casson fluid flow in a porous medium.Results Phys. 48, 106371 (2023)
- 28Reddy, Y.D., Ramya, D., Babu, L.A.: Effect of thermal radiation on MHD boundary layer flow of nanofluid and heat transfer over a nonlinearlystretching sheet with transpiration. J. Nanofluids 5, 889–897 (2016)
10.1166/jon.2016.1284 Google Scholar
- 29Jalili, B., et al.: Numerical modeling of magnetic field impact on the thermal behavior of a microchannel heat sink. Case Stud. Therm.Eng. 45, 102944 (2023)
- 30Jalili, P., et al.: Numerical study and comparison of two-dimensional ferrofluid flow in semi-porous channel under magnetic field. Int. J.Eng. 36, 2087–2101 (2023)
- 31Reddy, Y.D., Rao, V.S., Kumar, M.A.: Effect of heat generation/absorption on MHD copper-water nanofluid flow over a nonlinearstretching/shrinking sheet. AIP Conf. Proc. 2246(1), 020017 (2020). https://doi.org/10.1063/5.0014438
- 32Jalili, P., et al.: Thermal evaluation of MHD Jeffrey fluid flow in the presence of a heat source and chemical reaction. Int. J. Mod. Phys. B 38, 2450113 (2024)
- 33Jalili, P., et al.: Micro-polar nanofluid in the presence of thermophoresis, hall currents, and Brownian motion in a rotating system. Mod. Phys. Lett. B 37(01), 2250197 (2023)
- 34Reddy, Y.D., et al.: MHD boundary layer flow of nanofluid and heat transfer over a nonlinear stretching sheet with chemical reaction andsuction/blowing.J. Nanofluids 7, 404–412 (2018)
10.1166/jon.2018.1450 Google Scholar
- 35Mohanty, B., Jena, S., Pattnaik, P.K.: MHD nanofluid flow over stretching/shrinking surface in presence of heat radiation using numerical method. Int. J. Emerg. Technol. 10, 119–125 (2019)
- 36Pattnaik, P.K., et al.: Variation of the shape of Fe3O4-nanoparticles on the heat transfer phenomenon with the inclusion of thermalradiation. J. Therm. Anal. Calorim. 147, 2537–2548 (2022)
- 37Jena, S., Mishra, S.R., Pattnaik, P.K.: Development in the heat transfer properties of nanofluid due to the interaction of inclined magnetic field and non-uniform heat source. J. Nanofluids 9, 143–151 (2020)
10.1166/jon.2020.1749 Google Scholar
- 38Pattnaik, P.K., Moapatra, D.K., Mishra, S.R.: Influence of velocity slip on the MHD flow of a micropolar fluid over a stretching surface. Recent Trends in Applied Mathematics: Select Proceedings of AMSE 2019. Springer, Singapore (2021)
- 39Parida, S.K., et al.: Dynamics of dust particles in a conducting water-based kerosene nanomaterials: a computational approach. Int. J. Chem. React. Eng. 19, 787–797 (2021)
- 40Mathur, P., et al.: Characteristics of Darcy–Forchheimer drag coefficients and velocity slip on the flow of micropolar nanofluid. Heat Transf. 50, 6529–6547 (2021)
10.1002/htj.22191 Google Scholar
- 41Pattnaik, P.K., et al.: Free convective flow of hamilton-crosser model gold-water nanofluid through a channel with permeable moving walls. Comb. Chem. High Throughput Screen. 25, 1103–1114 (2022)
- 42Pattanaik, P.C., et al.: Impact of radiative and dissipative heat on the Williamson nanofluid flow within a parallel channel due to thermal buoyancy. Proc. Inst. Mech. Eng. Part N: J. Nanomater. Nanoeng. Nanosyst. 236, 3–18 (2022)
- 43Mohanty, B., et al.: Analysis of entropy on the peristaltic transport of micropolar nanofluid: A simulation obtained using approximate analytical technique. Eur. Phys. J. Plus 136, 1–19 (2021)
- 44Mishra, S., et al.: Nonlinear radiation and cross-diffusion effects on the micropolar nanoliquid flow past a stretching sheet with an exponential heat source. Heat Transf. 50, 3530–3546 (2021)
10.1002/htj.22039 Google Scholar
- 45Saidulu, B., Reddy, K.S.: Evaluation of combined heat and mass transfer in hydromagnetic micropolar flow along a stretching sheet when viscous dissipation and chemical reaction is present. Partial Differ. Equ. Appl. Math. 7, 100467 (2023)
10.1016/j.padiff.2022.100467 Google Scholar