Theoretical analysis of Casson nanofluid over a vertical exponentially shrinking sheet with inclined magnetic field

This paper presents a brief investigation of heat transfer and steady boundary layer flow of Casson nanofluid with the existence of an inclined magnetic field. The flow phenomenon is carried out under the influence of Brownian motion and thermophoresis. A vertical exponentially shrinking sheet is assumed for the two-dimensional Casson nanofluid flow. The implementation of adequate similarity variables to the constituting partial differential equations of the flow problem results in a nonlinear setup of ordinary differential equations. The mathematical description of the flow phenomenon incorporates the momentum equation, energy equation, and concentration equation. An appropriate bvp4c technique with the MATLAB package is adopted to solve the resulting nonlinear setup of equations. For various physical parameters, a comparison is done between Sherwood number, local Nusselt number, and skin friction coefficient. Different attributes of the concerned nanofluid including velocity, temperature, and concentration are graphically investigated with the variation in interesting pertinent parameters. It has been concluded that the velocity field shrinks as Casson fluid parameter and aligned angle of the magnetic field goes upward but the temperature field expands.

Automated summary

This paper investigates the heat transfer and steady boundary layer flow of Casson nanofluid with an inclined magnetic field. The study examines the effects of Brownian motion and thermophoresis and utilizes mathematical models and solving techniques to analyze the velocity, temperature, and concentration characteristics of the fluid, leading to several conclusions.