Rotating MHD Williamson nanofluid flow in 3D over exponentially stretching sheet with variable thermal conductivity...

Area of Science:

• Fluid Mechanics
• Heat Transfer
• Nanotechnology

Background:

• Nanofluids exhibit superior heat transport capabilities, making them crucial for thermal applications.
• Williamson fluids are significant in various industrial and scientific fields.
• Exponentially stretching sheets and rotating magnetohydrodynamic (MHD) flows are important in fluid dynamics and industry.

Purpose of the Study:

• To analyze the flow of rotating MHD Williamson nanofluid with variable thermal conductivity and diffusivity over an exponentially stretching sheet.
• To develop and apply a modified wavelets method for solving the mathematical model of this complex fluid flow.
• To investigate the impact of magnetic field effects and Williamson fluid parameters on the flow characteristics.

Main Methods:

• Development of a mathematical model for rotating MHD Williamson nanofluid flow with variable properties.
• Application of the modified wavelets method to obtain numerical solutions for the governing equations.
• Validation of the numerical scheme using tables and graphs to demonstrate its effectiveness and convergence.

Main Results:

• The modified wavelets method provides an effective and convergent solution for the studied nanofluid model.
• Skin friction coefficients in both x and y directions increase with stronger magnetic field effects and higher Williamson parameters.
• The proposed numerical algorithm shows potential for extension to other complex non-Newtonian fluid models.

Conclusions:

• The study successfully models and solves a complex nanofluid flow problem using an advanced numerical technique.
• Key parameters like magnetic field strength and Williamson fluid properties significantly influence flow behavior, particularly skin friction.
• The modified wavelets method is a robust tool for analyzing advanced non-Newtonian fluid dynamics.