Numerical simulation and regression analysis of MHD dissipative and radiative flow of a Casson nanofluid with Hall effects

References

• Crane LJ. Flow past a stretching plate. Z Angew Math Phys. 1970;21(4):645–647.
   Google Scholar
• Khan WA, Pop IM. Effects of homogeneous–heterogeneous reactions on the viscoelastic fluid toward a stretching sheet. J Heat Transfer. 2012;134(6) 064506.
   Google Scholar
• Rajagopal KR, Na TY, Gupta AS. Flow of a viscoelastic fluid over a stretching sheet. Rheol Acta. 1984;23(2):213–215.
   Google Scholar
• Vajravelu K, Rollins D. Heat transfer in a viscoelastic fluid over a stretching sheet. J Math Anal Appl. 1991;158(1):241–255.
   Google Scholar
• Benal SS, Tawade JV, Biradar MM, et al. Effects of the magnetohydrodynamic flow within the boundary layer of a Jeffery fluid in a porous medium over a shrinking/stretching sheet. Math Probl Eng. 2022;2022.1–11.
   Google Scholar
• Reddy NN, Reddy YD, Rao VS, et al. Multiple slip effects on steady MHD flow past a non-isothermal stretching surface in presence of Soret, Dufour with suction/injection. Int Commun Heat Mass Transf. 2022;134:106024.
   Google Scholar
• Loganathan K, Alessa N, Namgyel N, et al. MHD flow of thermally radiative Maxwell fluid past a heated stretching sheet with Cattaneo-Christov dual diffusion. J Math. 2021;2021.1–10.
   Google Scholar
• Andersson HI. Slip flow past a stretching surface. Acta Mech. 2002;158(1-2):121–125.
   Google Scholar
• Fang T, Zhang J, Zhong Y. Boundary layer flow over a stretching sheet with variable thickness. Appl Math Comput. 2012;218(13):7241–7252.
   Google Scholar
• Ariel PD, Hayat T, Asghar S. The flow of an elastico-viscous fluid past a stretching sheet with partial slip. Acta Mech. 2006;187(1-4):29–35.
   Google Scholar
• Shehzad SA, Abbasi FM, Hayat T, et al. Cattaneo-Christov heat flux model for third-grade fluid flow towards exponentially stretching sheet. Appl Math Mech. 2016;37(6):761–768.
   Google Scholar
• Turkyilmazoglu M. Flow of a micropolar fluid due to a porous stretching sheet and heat transfer. Int J Non Linear Mech. 2016;83:59–64.
   Google Scholar
• Cortell R. A note on flow and heat transfer of a viscoelastic fluid over a stretching sheet. Int J Non Linear Mech. 2006;41(1):78–85.
   Google Scholar
• Ghadikolaei SS, Hosseinzadeh Kh, Yassari M, et al. Analytical and numerical solution of non-Newtonian second-grade fluid flow on a stretching sheet. Therm Sci Eng Progress. 2018;5:309–316.
   Google Scholar
• Hayat T, Imtiaz M, Alsaedi A. Boundary layer flow of Oldroyd-B fluid by exponentially stretching sheet. Appl Math Mech. 2016;37(5):573–582.
   Google Scholar
• Takemitsu N, Matunobu Y. Unsteady stagnation-point flow impinging obliquely on an oscillating flat plate. J Phys Soc Jpn. 1979;47(4):1347–1353.
   Google Scholar
• Sano T. Unsteady stagnation point heat transfer with blowing or suction; 1981.
   Google Scholar
• Bogucz EA, Dirik EA, Lyman FA. Unsteady stagnation-point heat transfer due to the motion of freestream vortices. In: 1st National Fluid Dynamics Conference; 1988. p. 3771.
   Google Scholar
• Magari PJ, LaGraff LE. Wake-induced unsteady stagnation-region heat transfer measurements. J. Turbomach. 1994;116(1):29–38.
   Google Scholar
• Awan AU, Riaz S, Abro KA, et al. The role of relaxation and retardation phenomenon of Oldroyd-B fluid flow through Stehfest's and Tzou's algorithms. Nonlinear Eng. 2022;11(1):35–46.
   Google Scholar
• Riaz S, Sattar M, Abro KA, et al. Thermo-dynamical investigation of constitutive equation for rate type fluid: a semi-analytical approach. Int J Model Simul. 2022.
   Google Scholar
• Ali Q, Riaz S, Awan AU, et al. A mathematical model for thermography on viscous fluid based on damped thermal flux. Z Naturforsch A. 2021;76(3):285–294.
   Google Scholar
• Awan AU, Ali Q, Riaz S, et al. A thermal optimization throughan innovative mechanism of free convection flow of Jeffrey fluid using non-local kernel. Case Stud Therm Eng. 2021;24:100851.
   Google Scholar
• Ali Q, Riaz S, Awan AU. Free convection MHD flow of viscous fluid by means of damped shear and thermal flux in a vertical circular tube. Phys Scr. 2020;95(9):095212.
   Google Scholar
• Awan AU, Shah NA, Ahmed N, et al. Analysis of free convection flow of viscous fluid with damped thermal and mass fluxes. Chin J Phys. 2019;60:98–106.
   Google Scholar
• Ali Q, Riaz S, Awan AU, et al. Thermal investigation for electrified convection flow of Newtonian fluid subjected to damped thermal flux on a permeable medium. Phys Scr. 2020;95(11):115003.
   Google Scholar
• Labropulu F, Xu X, Chinichian M. Unsteady stagnation point flow of a non-Newtonian second-grade fluid. Int J Math Math Sci. 2003;2003(60):3797–3807.
   Google Scholar
• Mahapatra TR, Gupta AS. Heat transfer in stagnation-point flow towards a stretching sheet. Heat Mass Transf. 2002;38(6):517–521.
   Google Scholar
• Hayat T, Qasim M, Shehzad SA, et al. Unsteady stagnation point flow of second grade fluid with variable free stream. Alex Eng J. 2014;53(2):455–461.
   Google Scholar
• Naganthran K, Nazar R, Pop I. Unsteady stagnation-point flow and heat transfer of a special third grade fluid past a permeable stretching/shrinking sheet. Sci Rep. 2016;6(1):24632.
   Google Scholar
• Shokrgozar A, Rahimi AB, Mozayyeni H. Investigation of three-dimensional axisymmetric unsteady stagnation-point flow and heat transfer impinging on an accelerated flat plate. J Appl Fluid Mech. 2016;9(1):451–461.
   Google Scholar
• Dholey S. An unsteady separated stagnation-point flow towards a rigid flat plate. J Fluids Eng. 2019;141(2).021202.
   Google Scholar
• Mahapatra TR, Sidui S. Unsteady heat transfer in non-axisymmetric Homann stagnation-point flows towards a stretching/shrinking sheet. Eur J Mech B Fluids. 2019;75:199–208.
   Google Scholar
• Fang TG, Wang FJ. Momentum and heat transfer of a special case of the unsteady stagnation-point flow. Appl Math Mech. 2020;41(1):51–82.
   Google Scholar
• Mahapatra TR, Sidui S. Non-axisymmetric homann stagnation-point flow of a viscoelastic fluid towards a fixed plate. Eur J Mech B Fluids. 2020;79:38–43.
   Google Scholar
• Varun Kumar RS, Gunderi Dhananjaya P, Naveen Kumar R, et al. Modeling and theoretical investigation on Casson nanofluid flow over a curved stretching surface with the influence of magnetic field and chemical reaction. Int J Comput Methods Eng Sci Mech. 2022;23(1):12–19.
   Google Scholar
• Hussain M, Farooq U, Sheremet M. Nonsimilar convective thermal transport analysis of EMHD stagnation Casson nanofluid flow subjected to particle shape factor and thermal radiations. Int Commun Heat Mass Transf. 2022;137:106230.
   Google Scholar
• Shaheen N, Ramzan M, Alshehri A, et al. Soret-Dufour impact on a three-dimensional Casson nanofluid flow with dust particles and variable characteristics in a permeable media. Sci Rep. 2021;11(1):1–21.
   Google Scholar
• Dash RK, Mehta KN, Jayaraman G. Casson fluid flow in a pipe filled with a homogeneous porous medium. Int J Eng Sci. 1996;34(10):1145–1156.
   Google Scholar
• Shaw S, Murthy PVSN, Pradhan SC. The effect of body acceleration on two dimensional flow of Casson fluid through an artery with asymmetric stenosis. Open Conserv Biol J. 2010;2(1):55–68.
   Google Scholar
• Mustafa M, Hayat T, Pop I, et al. Unsteady boundary layer flow of a Casson fluid due to an impulsively started moving flat plate. Heat Tran Asian Res. 2011;40(6):563–576.
   Google Scholar
• Hayat T, Shehzad SA, Alsaedi A. Soret and Dufour effects on magnetohydrodynamic (MHD) flow of Casson fluid. Appl Math Mech. 2012;33(10):1301–1312.
   Google Scholar
• Thammanna GT, Kumar KG, Gireesha BJ, et al. Three dimensional MHD flow of couple stress Casson fluid past an unsteady stretching surface with chemical reaction. Results Phys. 2017;7:4104–4110.
   Google Scholar
• Prasad PD, Kumar RVMSSK, Madaki AG, et al. Convective conditions on Sakiadis flow of magnetohydrodynamic Casson fluid with heat sink. Int J Pure Appl Math. 2017;113:201–209.
   Google Scholar
• Kumar MS, Sandeep N, Kumar BR, et al. A comparative study of chemically reacting 2d flow of Casson and Maxwell fluids. Alex Eng J. 2018;57(3):2027–2034.
   Google Scholar
• Kumaran G, Sandeep N, Animasaun IL. Computational modeling of magnetohydrodynamic non-Newtonian fluid flow past a paraboloid of revolution. Alex Eng J. 2018;57(3):1859–1865.
   Google Scholar
• Watanabe T, Pop I. Hall effects on magnetohydrodynamic boundary layer flow over a continuous moving flat plate. Acta Mech. 1995;108(1-4):35–47.
   Google Scholar
• Seddeek MA. Effects of hall and ion–slip currents on magneto–micropolar fluid and heat transfer over a non–isothermal stretching sheet with suction and blowing. Proc Math Phys Eng Sci. 2001;457(2016):3039–3050.
   Google Scholar
• Singh JK, Kolasani S, Seth GS. Heat and mass transport nature of MHD nanofluid flow over a magnetized and convectively heated surface including hall current, magneto and thermo diffusions impacts. Ric Mat. 2022;10.1007/s11587-022-00687-4.
   Google Scholar
• Takhar HS, Chamkha AJ, Nath G. MHD flow over a moving plate in a rotating fluid with magnetic field, Hall currents and free stream velocity. Int J Eng Sci. 2002;40(13):1511–1527.
   Google Scholar
• Singh JK, Seth GS. Thermo-diffusion impacts on the flow of an elastico-viscous fluid over an inclined heated plane with magnetized wall. P I Mech Eng E-J Pro. 2021;236(4):1581–1592. 09544089211069254.
   Google Scholar
• Abo-Eldahab EM, Abd El-Aziz M, Salem AM, et al. Hall current effect on MHD mixed convection flow from an inclined continuously stretching surface with blowing/suction and internal heat generation/absorption. Appl Math Model. 2007;31(9):1829–1846.
   Google Scholar
• Hayat T, Khan SB, Sajid M, et al. Rotating flow of a third grade fluid in a porous space with Hall current. Nonlinear Dyn. 2007;49(1-2):83–91.
   Google Scholar
• Salem AM, Abd El-Aziz M. Effect of Hall currents and chemical reaction on hydromagnetic flow of a stretching vertical surface with internal heat generation/absorption. Appl Math Model. 2008;32(7):1236–1254.
   Google Scholar
• Singh JK, Kolasani S. Energy dissipation and Hall effect on MHD convective flow of nanofluid within an asymmetric channel with arbitrary wall thickness and conductance. Eur Phys J Plus. 2021;136(10):1–25.
   Google Scholar
• Elgazery NS. The effects of chemical reaction, Hall and ion-slip currents on MHD flow with temperature dependent viscosity and thermal diffusivity. Commun Nonlinear Sci Numer Simul. 2009;14(4):1267–1283.
   Google Scholar
• Singh JK, Kolasani S, Savanur V. Significance of Hall effect on heat and mass transport of titanium alloy-water-based nanofluid flow past a vertical surface with IMF effect. Heat Transf. 2021;50(6):5793–5812.
   Google Scholar
• Opanuga AA, Agboola OO, Gbadeyan JA, et al. Entropy generation analysis of Hall current effect on MHD micropolar fluid flow with rotation effect. SN Appl Sci. 2020;2(1):18.
   Google Scholar
• Singh JK, Begum SG, Seth GS. Influence of Hall current and wall conductivity on hydromagnetic mixed convective flow in a rotating Darcian channel. Phys Fluids. 2018;30(11):113602.
   Google Scholar
• Sreedevi G, Rao RR, Rao DRVP, et al. Combined influence of radiation absorption and Hall current effects on MHD double-diffusive free convective flow past a stretching sheet. Ain Shams Eng J. 2016;7(1):383–397.
   Google Scholar
• Abd El-Aziz M. Flow and heat transfer over an unsteady stretching surface with Hall effect. Meccanica. 2010;45(1):97–109.
   Google Scholar
• Shateyi S, Motsa SS, Sibanda P. The effects of thermal radiation, Hall currents, Soret, and Dufour on MHD flow by mixed convection over a vertical surface in porous media. Math Prob Eng. 2010;2010.1–20.
   Google Scholar
• Davidson PA. Introduction to Magnetohydrodynamics. Second Edition. Cambridge, United Kingdom: 2017.
   Google Scholar
• Farina A, Mikelić A, Saccomandi G, et al. Non-Newtonian fluid mechanics and complex flows. Levico Terme, Italy: Springer; 2016.
   Google Scholar
• Khan WA, Pop I. Boundary-layer flow of a nanofluid past a stretching sheet. Int J Heat Mass Transf. 2010;53(11-12):2477–2483.
   Google Scholar
• Cortell R. Fluid flow and radiative nonlinear heat transfer over a stretching sheet. J King Saud Univ Sci. 2014;26(2):161–167.
   Google Scholar
• Patil VS, Patil AB, Ganesh S, et al. Unsteady MHD flow of a nano Powell-Eyring fluid near stagnation point past a convectively heated stretching sheet in the existence of chemical reaction with thermal radiation. Mater Today Proc. 2021;44:3767–3776.
   Google Scholar
• Prasannakumara BC, Gireesha BJ, Krishnamurthy MR, et al. MHD flow and nonlinear radiative heat transfer of Sisko nanofluid over a nonlinear stretching sheet. Inform Med Unlocked. 2017;9:123–132.
   Google Scholar
• Makukula ZG, Sibanda P, Motsa SS. A note on the solution of the von Kármán equations using series and Chebyshev spectral methods. Bound Value Probl. 2010;2010(1):471793–17.
   Google Scholar
• Motsa SS, Sibanda P. A linearisation method for non-linear singular boundary value problems. Comput Math Appl. 2012;63(7):1197–1203.
   Google Scholar
• Wang CY. Stagnation flow towards a shrinking sheet. Int J Non Linear Mech. 2008;43(5):377–382.
   Google Scholar
• Rapp BE. Microfluidics: modeling, mechanics and mathematics. Oxford, United Kingdom: William Andrew; 2016.
   Google Scholar