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The importance of non-Newtonian fluid (Casson fluid) in industry is increasingly appreciated. However, little is known about the flow rheology of Casson fluid flowing over a Riga plate. Thus, the purpose of this investigation is to examine the nature of entropy generation (EG) and heat transfer (HT) on Casson hybrid nanofluid flow past a Riga plate by considering the influences of magnetic field and thermal radiation. The Hamilton–Crosser (Model 1) and Xue model (Model 2) of thermal conductivity are incorporated for Casson hybrid nanofluid. The governing equations are solved by numerical methods i.e., bvp4c and shooting techniques. In the current framework, the comparative patterns for both models of temperature, velocities, EG and Bejan number are depicted due to the existing parameters. The domain of the pertinent parameters is taken as thermal radiation, 4 ≤ R a ≤ 7 ; stretching parameter, 0. 6 ≤ λ ≤ 1 ; Casson factor, 0. 5 ≤ δ ≤ 2 ; rotation parameter, 1 ≤ ℜ t ≤ 4 and Hartmann number, 2 ≤ H a ≤ 1 1. The outcomes show that the rise in volume fraction and thermal conductivity profile of Xue model (Model 2) is better than Hamilton–Crosser model (Model 1). Moreover, EG profiles are escalated with augmentation in values of Hartmann number and stretching parameter for both models. The results of the study are useful for predicting the rheology of right fluid, while it also assists in safeguarding the boundary layer (BL) separation, along with establishing a parallel force to the surface in assisting the domain of science and technology. Mathematical model addressing the three-dimensional flow of Casson hybrid nanofluid over a Riga plate subject to viscous dissipation and linear thermal radiation was investigated. The solution to the governing equations are obtained through two numerical schemes, (i) shooting method and (ii) bvp4c. Effect of the active parameters on entropy generation is discussed through graphs and it was observed that for increasing value of both Hartmann number and stretching parameter the profiles of entropy generation increases. [ABSTRACT FROM AUTHOR]

This investigation includes a three-dimensional Darcy–Forchheimer flow model and the heat transfer phenomenon of H2O-CNTs nanofluid for a two-way stretchable surface. Xue's proposed thermal conductivity model is employed. The numerical analysis scheme is applied to solve the transformed PDEs. The outline of velocities, temperature, surface drag forces and Nusselt number against relevant variables are portrayed. From this study, it has been noted that with an increase in Eckert numbers along both directions, two patterns were obtained for temperature curves, the initial temperature outlines increased and after that they decreased. Moreover, the width of the thermal boundary layer for H2O-MWCNT nanofluid was more compared to H2O-SWCNT nanofluid. To validate the existing code, numerical outcomes were compared to the earlier published data. [ABSTRACT FROM AUTHOR]

In this paper, we made elaborate investigation of the Hall current and radiation effects on MHD heat absorbing unsteady natural convection flow of a viscous incompressible electrically conducting fluid past an impulsively moving infinite vertical plate with ramped temperature and concentration in the presence of first order chemical reaction. The constructing coupled PDEs of the model along with initial and boundary conditions are solved numerically by utilizing the robust FEM. The effects of significant parameters on the primary and secondary velocities, temperature and concentration within the boundary layer are examined. The computational assessment of the primary and secondary shear stresses, rate of heat and mass transfer at the plate surface are put in tabular form. The thermal and mass buoyancy effects elevate both primary and secondary velocity components whilst reverse trend takes place when radiation and chemical reaction parameters are increased. Both primary and secondary velocity components decrease with increasing magnetic parameter whilst opposite trend are noticed with increasing Hall parameter. An increase in Prandtl number and radiation parameter results to reduce temperature distribution. The concentration distribution decreases with increase in Schmidt number and chemical reaction parameter. The significant difference between the fluid velocities is noticed due to the ramped and isothermal boundary conditions. [ABSTRACT FROM AUTHOR]

Potato virus Y (PVY) is a serious pathogen that causes yield reduction and seed degeneration in potatoes crops. It is transmitted non-persistently by a wide range of aphid vectors. The transmission process is rapid and can be affected by vector behavior exhibited during host search and feeding. Controlling aphids by insecticide is inefficient to manage PVY while, mixed-cropping system comprises potatoes and non-host crop plants is an important strategy. Studies about the significance of such practices will benefit smallholder farmers. We formulate a mathematical model that aims to investigate effects of mixed-cropping system on the PVY disease dynamics. Analysis results show that the non-virus host plant is important to reduce the basic reproduction number, ℜ 0 of the disease. If ℜ 0 < 1 , then the disease-free equilibrium is globally stable; if ℜ 0 > 1 , then an endemic equilibrium exists which is locally asymptotically stable. We employed a geometric approach and discuss conditions for global stability of the endemic equilibrium. Bifurcation and sensitivity analysis of the embedded parameters were also carried out. Finally, some numerical simulations are conducted to support analytic results. [ABSTRACT FROM AUTHOR]