Viscous dissipation effects on an unsteady convective rotatory Rivlin-Ericksen flow of an incompressible electrically conducting fluid under time-dependence suction is considered. The entire system rotates through the angular velocity by the axis perpendicular to the plate. The governing equations comprising of continuity, momentum, energy and concentration equations were non-dimensionalized and reduced to ordinary differential equations using perturbation technique. The resultant coupled ordinary differential equations were solved using the Adomian decomposition method. The effects of various fluid parameters on velocity, temperature and concentration were presented in tabular and graphical forms. The results revealed that resultant fluid velocity is enhanced with an increase in rotation, viscoelastic and viscous dissipation parameter while an increase in chemical reaction retards both velocity and concentration distributions of the fluid.
ARTICLE HISTORY
In this study, various fluid physical quantities effects such as diffusion-thermo, thermal-diffusion, thermal radiation, viscous dissipation, inclined magnetic field on unsteady MHD slip flow over a permeable vertical plate are considered. The coupled and nonlinear partial differential governing equations consisting of momentum, energy and species equations are reduced to ordinary differential equations using perturbation technique. The resulted coupled, nonlinear ordinary differential equations are solved by using collocation method with the aid of assumed Legendre polynomial. The impacts of different physical parameters on fluid properties are discussed and presented both graphically and tabularly. Both Dufour and Soret have the tendency of enhancing velocity profiles.
Combined investigation of the generalized paradox of fluid flow and heat flux with upper-convected Maxwell (UCM) fluid and the Cattaneo-Christov model over a porous stretchable sheet is considered. In proffering an effective fluid flow and heat conduction, Fourier's law proved faulty. Consequently, a true estimation of non-Newtonian fluid characterizations is required due to their wide application in the biomedical science and engineering industries, among others. To these, nonlinear coupled partial differential equations (PDEs) governing the aforementioned conditions are modeled and transformed to ordinary differential equations (ODEs) using adequate similarity transformation. The solutions of these ODEs were obtained using Legendre collocation method (LCM). The results identified that a rise in geometrical inclination retards the velocity field, and an increase of the Deborah number brings about retardation in the flow fields, thus indicating a highly viscous fluid. Since fluids with high Deborah number are highly elastic, there exists flow friction, hence resulting in large heat accumulation. Therein, the material relaxation phenomenon explains that more time will be needed for successful circulation/transfer of heat from one medium to another.
Toxoplasmosis is a parasitic disease instigated by T. gondii. T. gondii can infect every warm[1]blooded vertebrate and the proportion of the world population that is suffering from the parasitic disease is over one-third. In this work, a nonlinear epidemic model is developed to analyze how various factors can instigate backward bifurcation phenomenon in the transmission dynamics of toxoplasmosis. The model is subjected to the usability test by employing ample mathematical techniques and is found to be usable. An analytical threshold that governed T. gondii transmissibility is derived and used to study the model qualitatively. Results from the analysis establish the existence of backward bifurcation for toxoplasmosis dynamics.
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