Magneto-hydro dynamic squeezed flow of Williamson fluid transiting a sensor surface

Area of Science:

• Fluid Dynamics
• Heat Transfer
• Magnetohydrodynamics (MHD)

Background:

• Microcantilever sensors are used to detect fluid flow rate and temperature variations.
• Understanding the behavior of pseudoplastic fluids under combined thermal and electromagnetic influences is crucial for sensor applications.

Purpose of the Study:

• To analyze the electro-kinetically induced hydromagnetic squeezed flow of a pseudoplastic fluid over a microcantilever sensor.
• To investigate the combined effects of radiation and heat generation on the fluid flow and thermal characteristics.
• To explore the influence of various physical parameters on the flow and temperature profiles.

Main Methods:

• Development of a pseudoplastic fluid flow model using boundary layer approximations.
• Non-dimensionalization of governing equations with relevant control parameters.
• Numerical solution using the Shooting technique.

Main Results:

• Fluid flow, temperature, and velocity profiles are significantly impacted by radiation, heat generation, magnetic, and squeezing parameters.
• The Christov-Cattaneo heat transfer model shows slight variations in temperature compared to Fourier's law.
• Fluid velocity increases with the magnetic parameter but decreases with the squeezing flow index.

Conclusions:

• The study provides insights into the complex interplay of thermal and electromagnetic forces on pseudoplastic fluid flow.
• Results are essential for optimizing microcantilever sensor performance in diverse environmental conditions.
• The findings highlight the importance of considering non-classical heat transfer models for accurate thermal analysis.