Analysis of Uniform Film Thickness and Stationarypoints for the Thin Film Flow of Carreau Fluid Model in the Presence of Surface Tension Gradient

This article addresses the analysis of the uniform film thickness and stationary points forthe Carreau thin fluid film flow. The flow of fluid on a vertically upward moving cylinder takesplace in the presence of a surface tension gradient. The resulting non-linear and inhomogeneousordinary differential equation is solved for the series form solution using Adomian decompositionmethods (ADM). Stokes number St, inverse capillary number C, Weissenberg number W e andfluid behavior index n emerged as flow control parameters. The analysis showed that thepositions of stationary points transferred towards the surface of the cylinder by the increase ofSt and C while towards the fluid-air interface by the increase of n. W e delineated vice versaeffects on positions of stationary points for the shear thickening fluid film and shear thinningfluid film. The width of uniform film thickness reduces by an increment in the St and Cwhereas it increases by an increment in the n. The width of shear thickening uniform filmthickness increases whilst shear thinning uniform film thickness decreases as the W e increases. A comparison between the linearly viscous fluid and Carreau fluid is also made.

Magnetically propelled Carreau fluid flow over Penetrable Sensor Surface Influenced by Thermal Radiation, Joule Heating and Heat Generation

This examination emphasizes the analysis of thermal transmission of Carreau fluid flow on a permeable sensor surface equipped with radiation, Joule heating, internal heat source, and magnetic field. With the above effects and assumptions, the equations that administer the flow are formulated. Configured system of equations is productively reduced to system of ordinary differential equations. The reduced system is then dealt with the Runge-Kutta-Fehlberg 4th -5th order tool equipped by shooting technique. Derived numerical solutions are utilized to plot graphs and tables. The study concluded with some important findings such as power law index, thermal radiation parameter and heat source parameter enhance the thermal panel whereas Weissenberg number deescalates the same. The power law index and permeable velocity decrease the velocity panel significantly. Diagrammatic representation of streamlines of the flow has been given to strengthen the study. A detailed description has been produced about the results obtained in the study

Homotopy Analysis of Carreau Fluid Flow Over a Stretching Cylinder

Carreau fluid flows past a stretching cylinder is elucidated in the present study. The transformed self-similarity and dimensionless boundary layer equations are solved by using the Homotopy analysis method. A convergence study of the method is illustrated explicitly. Series solutions of the highly nonlinear differential equations are computed and it is very efficient in demonstrating the characteristic of the Carreau fluid. Validation of the series solutions is achieved via comparing with earlier published results. Those results are obtained by using the Keller-Box method. The effects of the Weissenberg number and curvature parameter on the velocity profiles are discussed by graphs and tabular. The velocity curves have shown different behavior in and for an increase of the Weissenberg number. Further, the curvature parameter K does increase the velocity profiles.