H. B. LANJWANI, M. S. CHANDIO, M. I. ANWAR, S. A. SHEHZAD, M. IZADI . Dual solutions of time-dependent magnetohydrodynamic stagnation point boundary layer micropolar nanofluid flow over shrinking/stretching surface[J]. Applied Mathematics and Mechanics, 2021 , 42(7) : 1013 -1028 . DOI: 10.1007/s10483-021-2749-7

[1] ERINGEN, A. C. Theory of micropolar fluids. Journal of Mathematics and Mechanics, 16, 1–18(1966)
[2] LUKASZEWICZ, G. Micropolar Fluids: Theory and Applications, Springer Science & Business Media, 237–250(1999)
[3] CHIAM, T. C. Micropolar fluid flow over a stretching sheet. Zeitschrift für Angewandte Mathematik und Mechanik, 62, 565–568(1982)
[4] SANDEEP, N. and SULOCHANA, C. Dual solutions for unsteady mixed convection flow of MHD micropolar fluid over a stretching/shrinking sheet with non-uniform heat source/sink. Engineering Science and Technology, an International Journal, 18, 738–745(2015)
[5] TURKYILMAZOGLU, M. Magnetic field and slip effects on the flow and heat transfer of stagnation point Jeffrey fluid over deformable surfaces. Zeitschrift für Naturforschung A, 71, 549–556(2016)
[6] TURKYILMAZOGLU, M. Magnetohydrodynamic two-phase dusty fluid flow and heat model over deforming isothermal surfaces. Physics of Fluids, 29, 013302(2017)
[7] HSIAO, K. Stagnation electrical MHD nanofluid mixed convection with slip boundary on a stretching sheet. Applied Thermal Engineering, 98, 850–861(2016)
[8] HSIAO, K. Micropolar nanofluid flow with MHD and viscous dissipation effects towards a stretching sheet with multimedia feature. International Journal of Heat and Mass Transfer, 112, 983–990(2017)
[9] RAUF, A., ABBAS, Z., and SHEHZAD, S. A. Utilization of Maxwell-Cattaneo law for MHD swirling flow through oscillatory disk subject to porous medium. Applied Mathematics and Mechanics (English Edition), 40(6), 837–850(2019) https://doi.org/10.1007/s10483-019-2488-9
[10] SHEIKHOLELSAMI, M., ARABKOOHSAR, A., and BABAZADEH, H. Modeling of nanomaterial treatment through a porous space including magnetic forces. Journal of Thermal Analysis and Calorimetry, 140, 825–834(2020)
[11] SHEHZAD, S. A., KHAN, S. U., ABBAS, Z., and RAUF, A. A revised Cattaneo-Christov micropolar viscoelastic nanofluid model with combined porosity and magnetic effects. Applied Mathematics and Mechanics (English Edition), 41(3), 521–532(2020) https://doi.org/10.1007/s10483-020-2581-5
[12] IZADI, M., SHEREMET, M. A., MEHRYAN, S. A. M., POP, I., OZTOP, H. F., and ABU-HAMDEH, N. MHD thermogravitational convection and thermal radiation of a micropolar nanoliquid in a porous chamber. International Communications in Heat and Mass Transfer, 110, 104409(2020)
[13] CHOI, S. U. S. and EASTMAN, J. A. Enhancing thermal conductivity of fluids with nanoparticles. ASME International Mechanical Engineering Congress and Exposition, San Franciscos, U.S.A., 99–105(1995)
[14] BUONGIORNO, J. Convective transport in nanofluids. Journal of Heat Transfer, 128, 240–250(2006)
[15] KEBLINSKI, P., PRASHER, R., and EAPEN, J. Thermal conductance of nanofluids: is the controversy over? Journal of Nanoparticle Research, 10, 1089–1097(2008)
[16] PRASHER, R., SONG, D., WANG, J., and PHELAN, P. Measurements of nanofluid viscosity and its implications for thermal applications. Applied Physics Letters, 89, 133108(2006)
[17] BACHOK, N., ISHAK, A., and POP, I. Flow and heat transfer characteristics on a moving plate in a nanofluid. International Journal of Heat and Mass Transfer, 55, 642–648(2012)
[18] ROHNI, A. M., AHMAD, S., ISMAIL, A. I. M., and POP, I. Flow and heat transfer over an unsteady shrinking sheet with suction in a nanofluid using Buongiorno’s model. International Communications in Heat and Mass Transfer, 43, 75–80(2013)
[19] SHEREMET, M. A., POP, I., and MAHIAN, O. J. I. J. O. H. Natural convection in an inclined cavity with time-periodic temperature boundary conditions using nanofluids: application in solar collectors. International Journal of Heat and Mass Transfer, 116, 751–761(2018)
[20] DERO, S., UDDIN, M. J., and ROHNI, A. M. Stefan blowing and slip effects on unsteady nanofluid transport past a shrinking sheet: multiple solutions. Heat Transfer—Asian Research, 48, 2047–2066(2019)
[21] LUND, L. A., OMAR, Z., RAZA, J., KHAN, I., and SHERIF, E. S. M. Effects of Stefan blowing and slip conditions on unsteady MHD Casson nanofluid flow over an unsteady shrinking sheet: dual solutions. Symmetry, 12, 487(2020)
[22] KUMAR, K. A., SUGUNAMMA, V., and SANDEEP, N. Physical aspects on unsteady MHD-free convective stagnation point flow of micropolar fluid over a stretching surface. Heat Transfer—Asian Research, 48, 3968–3985(2019)
[23] ISHAK, A., NAZAR, R., and POP, I. Heat transfer over a stretching surface with variable heat flux in micropolar fluids. Physics Letters A, 372, 559–561(2008)
[24] HARRIS, S. D., INGHAM, D. B., and POP, I. Mixed convection boundary-layer flow near the stagnation point on a vertical surface in a porous medium: Brinkman model with slip. Transport in Porous Media, 77, 267–285(2009)
[25] MEADE, D. B., HARAN, B. S., and WHITE, R. E. The shooting technique for the solution of two-point boundary value problems. Maple Technical Newsletter, 3, 1–8(1996)