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Sivasankari, Sathyamoorthy, Ananthaswamy, Vembu. (1402). A mathematical study on non-linear ordinary differential equation for Magnetohydrodynamic flow of the Darcy-Forchheimer nanofluid. سامانه مدیریت نشریات علمی, 11(4), 696-715. doi: 10.22034/cmde.2023.55330.2302
Sathyamoorthy Sivasankari; Vembu Ananthaswamy. "A mathematical study on non-linear ordinary differential equation for Magnetohydrodynamic flow of the Darcy-Forchheimer nanofluid". سامانه مدیریت نشریات علمی, 11, 4, 1402, 696-715. doi: 10.22034/cmde.2023.55330.2302
Sivasankari, Sathyamoorthy, Ananthaswamy, Vembu. (1402). 'A mathematical study on non-linear ordinary differential equation for Magnetohydrodynamic flow of the Darcy-Forchheimer nanofluid', سامانه مدیریت نشریات علمی, 11(4), pp. 696-715. doi: 10.22034/cmde.2023.55330.2302
Sivasankari, Sathyamoorthy, Ananthaswamy, Vembu. A mathematical study on non-linear ordinary differential equation for Magnetohydrodynamic flow of the Darcy-Forchheimer nanofluid. سامانه مدیریت نشریات علمی, 1402; 11(4): 696-715. doi: 10.22034/cmde.2023.55330.2302

A mathematical study on non-linear ordinary differential equation for Magnetohydrodynamic flow of the Darcy-Forchheimer nanofluid

Computational Methods for Differential Equations
مقاله 3، دوره 11، شماره 4، مهر 2023، صفحه 696-715    اصل مقاله (893.41 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.55330.2302
نویسندگان
Sathyamoorthy Sivasankari؛ Vembu Ananthaswamy*
Research Scholar, Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India.
چکیده
An analytical study is carried out to obtain the approximate solution for the Magnetohydrodynamic (MHD) flow issue of Darcy-Forchheimer nanofluid containing motile microorganisms having viscous dissipation effect through a non-linear extended sheet employing a new approximate analytical method namely Ananthaswamy-Sivasankari Method (ASM) and also Modified Homotopy Analysis method (MHAM). The derived analytical solution is given in explicit form and is compared with the numerical solution. The graphical results are interlined to reflect the effects of various physical parameters involved in the problem. The numerical computation of the Nusselt number, the local skin friction parameter, and the Sherwood number are compared and shown in the table. Faster convergence is acquired using this strategy. The solution obtained by this method is closer to the exact solution. Also, the solution is in the simplest and most explicit form. It is applicable for all initial and boundary value problems with non-zero boundary conditions. This method can be easily extended to solve other non-linear higher order boundary value problems in physical, chemical, and biological sciences.
کلیدواژه‌ها
Darcy-Forchheimer nanofluid flow؛ Viscous dissipation؛ Gyrotactic Microorganisms؛ Ananthaswamy-Sivasankari method (ASM)؛ Modified Homotopy analysis method (MHAM)
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