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Öğe DJM solution of MHD flow of ternary hybrid nanofluid between nonparallel a porous media channels with velocity slip and radiation effects(Taylor & Francis Inc, 2024) Kezzar, Mohamed; Darvesh, Adil; Tabet, Ismail; Akgul, Ali; Sari, Mohamed R.; Santisteban, Luis Jaime CollantesThis investigation on heat transfer and Jeffery Hamel ternary hybrid nanofluid flow across nonparallel a porous media channels while accounting for radiation, velocity slip, and mixture fluid (H2O-C2H6O2) effects is presented in this work. The nonlinear PDEs such as continuity, momentum and heat equations transformed to a system of nonlinear ODEs using similarity transformations then solved numerically and analytically, the analytical solution has been constructed using by Daftar Dar-Jafari method (DJM), the present results in particular cases are compared to results obtained by the HAM-based Mathematica package and by the Runge-Kutta Fehlberg fourth-fifth order (RKF-45) for validation. The effects of active parameters such as the nanofluid volume fraction, velocity slip parameter, Darcy number (Da), and thermal radiation parameter (Rd), are investigated on the velocity and temperature, skin friction, and Nusselt numbers. It is found that the velocity of ternary hybrid nanofluid upsurges for both convergent and divergent channel with the increment in the Hartman number (Ha). Also, results obtained reveal that the temperature profile experiences an upward shift with an increase in the Ha, and a downward shift with an increment of the Da. Furthermore, new modeling and the reliable analytic treatment via DJM approach for the ternary hybrid nanofluid is a sizable accomplishment of the current analysis.Öğe Thermal diffusivity of inclined magnetized Cross fluid with temperature dependent thermal conductivity: Spectral Relaxation scheme(Springer, 2024) Darvesh, Adil; Akguel, Ali; Elmasry, Yasser; Sanchez-Chero, Manuel; Santisteban, Luis Jaime Collantes; Sanchez-Chero, Jose Antonio; Hassani, Murad KhanUnderstanding and controlling the thermal transport phenomena are crucial in numerous applications. The current research emphasizes thermal diffusivity of an inclined magnetized Cross fluid with temperature-dependent thermal conductivity with a computational iterative spectral relaxation scheme. Cross mathematical model is employed to characterizes non-Newtonian behavior and to uncover viscoelastic properties of fluid. Flow is incorporated under temperature thermal influence and external inclined magnetic strength is considered for thermal variations. Various prominent factors, including cross index, magnetic field, inclination angle, temperature-dependent thermal conductivity are analyzed on the fluid's thermal diffusivity. The flow governing PDEs are converted into system of ODEs by using suitable transformation. Spectral relaxation computation scheme is then used for controlling the new set equations. SRM algorithm controlling subsystems is built through MATLAB. Numerical results are illustrated by MATLAB graphs. Physical quantities such as Sherwood numbers, Nusselt and skin friction coefficient are visually taken place through statistical graphs with two cases of imposed magnetic field. The results of this investigation shed light on how non-Newtonian fluids behave when exposed to temperature changes and magnetic fields and useful in understanding and leverage these effects for specific applications. Thermal diffusivity of an inclined magnetized fluid with temperature-dependent thermal conductivity.Cross mathematical model framed with Navier stokes equations is employed for mathematical formulation.Stretching sheet is considered for physically configuration of fluid flow.Spectral relaxation method is used for numerical computation.