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    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 Khan
    Understanding 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.