Просмотр новости
Найдите то, что Вас интересует
Спутники
РН
SpaceX
Роскосмос
NASA
СпутникиРНSpaceXРоскосмосNASAPublication date: 14 August 2026
Source: Materials Science Forum Vol. 1199
Author(s): Abdul Rahman Mohd Kasim, Siti Maryam Hafiza Mohd Kanafiah, Adeshina Taofeeq Adeosun, Noor Amalina Nisa Ariffin, Nurul Amira Zainal
This study investigates the dual solution existence and the associated temporal stability of magnetohydrodynamic hybrid nanofluid (HNF) flow over a bidirectional shrinking sheet. The working fluid consists of an Al₂O₃–Cu/water HNF subjected to suction, magnetic field effects, and porous medium resistance. The reduced coupled ordinary differential governing equations are solved using the Galerkin weighted residual method. A temporal stability analysis based on eigenvalue formulation is conducted to distinguish physically realizable solutions from unstable ones. The effects of emerging parameters on the skin friction coefficients and the Nusselt number are examined with the concentration given on magnetic effect. The results reveal the dual solution existence in a critical range of suction values, beyond which no solutions exist, indicating boundary-layer separation. Stability analysis confirms that only the upper-branch solution is stable and physically admissible. Enhanced magnetic field strength, delay boundary-layer separation and improve thermal performance. The present results show excellent agreement with previously reported limiting cases, demonstrating the accuracy and robustness of the proposed method.
[1] L.J. Crane, Flow past a stretching plate, Z. Angew. Math. Phys. 21 (1970) 645–647.
[2] C.Y. Wang, The three-dimensional flow due to a stretching flat surface, Phys. Fluids 27(8) (1984) 1915–1917.
DOI: 10.1063/1.864868
[3] C.Y. Wang, Liquid film on an unsteady stretching surface, Q. Appl. Math. 48(4) (1990) 601–610.
[4] B. Ahmed, Bi-directional forced convective stagnation point flow of Oldroyd-B liquid with Joule heating effects: A finite difference simulation, CFD Lett. 16(7) (2024) 22–38.
[5] P. Jayalakshmi et al., Heat transfer analysis of sisko fluid flow over a stretching sheet, Energies 16(7) (2023) 3183.
DOI: 10.3390/en16073183
[6] M. Nandkeolyar et al., MHD Casson fluid flow and heat transfer, Int. J. Ambient Energy 46(1) (2025) 2495051.
[7] K.N. Manoharkumar et al., Three-dimensional fluid flow over an elastic sheet, Chem. Eng. Technol. 48(2) (2025) e202400326.
[8] A. Asghar et al., Dual solutions of convective rotating flow, Alex. Eng. J. 75 (2023) 297–312.
[9] A. Mandal, A. Sarkar, Effect of Coriolis force, Hybrid Adv. (2025) 100446.
[10] R. Hajlaoui et al., Bioconvective flow of Casson-Micropolar nanofluid, J. Radiat. Res. Appl. Sci. 18(2) (2025) 101452.
[11] K.A.M. Alharbi et al., Comparative study of hybrid nanofluid flows, Numer. Heat Transfer A 85(17) (2024) 2819–2835.
[12] S.A. Lone et al., Semi-analytical solution of MHD ternary hybrid nanofluid, AIP Adv. 14(4) (2024).
[13] S.U.S. Choi, J.A. Eastman, Enhancing thermal conductivity of fluids with nanoparticles, ASME Conf. (1995).
[14] L.S. Sundar et al., Enhanced heat transfer of hybrid nanofluids, Int. Commun. Heat Mass Transfer 84 (2017) 1–10.
[15] M.U. Sajid, H.M. Ali, Thermal performance of hybrid nanofluids, Int. J. Heat Mass Transfer 126 (2019) 211–234.
[16] F.A. Aladsani et al., Thermal analysis of ternary hybrid nanofluid, J. Radiat. Res. Appl. Sci. 18(3) (2025) 101785.
[17] P. Kumari et al., Inclined MHD flow of Carreau hybrid nanofluid, Symmetry 17(8) (2025) 1330.
[18] K. Rafique et al., Thermal radiation and stability analysis, J. Radiat. Res. Appl. Sci. 18(2) (2025) 101510.
[19] S. AB, S. G, Thermal analysis of ternary hybrid nanofluid, World J. Eng. (2025) 1–16.
[20] A.T. Adeosun et al., Gauss–Legendre weighted residual method, Int. J. Numer. Methods Heat Fluid Flow (2025) 1–22.
[21] A.T. Adeosun et al., Bifurcation and sensitivity analysis, Comput. Math. Appl. 195 (2025) 28–41.
[22] M. Miklavčič, C.Y. Wang, Viscous flow due to a shrinking sheet, Q. Appl. Math. 64(2) (2006) 283–290.
[23] P.D. Weidman et al., Effect of transpiration, Int. J. Eng. Sci. 44 (2006) 730–737.
[24] K. Bhattacharyya, Dual solutions in boundary layer flow, Chin. Phys. Lett. 28(8) (2011) 084701.
[25] J.H. Merkin, Dual solutions in mixed convection, J. Eng. Math. 19 (1985) 189–199.
[26] I. Waini et al., Hybrid nanofluid flow, Int. J. Numer. Methods Heat Fluid Flow 29(9) (2019) 3110–3127.
[27] I. Waini et al., Squeezed hybrid nanofluid flow, Mathematics 8(6) (2020) 898.
[28] S.D. Harris et al., Mixed convection boundary-layer flow, Transp. Porous Media 77(2) (2009) 267–285.
[29] A.T. Adeosun et al., Galerkin weighted residual approach, J. Taibah Univ. Sci. 19(1) (2025) 2489809.
[30] I.C. Liu, H.I. Andersson, Heat transfer over a bidirectional stretching sheet, Int. J. Heat Mass Transfer 51 (2008) 4018–4024.