In this paper magnetoconvective heat and mass transfer characteristics of a two-dimensional steady flow of a nanofluid over a non-linear stretching sheet in the presence of thermal radiation,Ohmic heating and viscous ...In this paper magnetoconvective heat and mass transfer characteristics of a two-dimensional steady flow of a nanofluid over a non-linear stretching sheet in the presence of thermal radiation,Ohmic heating and viscous dissipation have been investigated numerically.The model used for the nanofluid incorporates the effects of the Brownian motion and the presence of nanopanicles in the base fluid.The governing equations are transformed into a system of nonlinear oidinary differential equations by using similarity transformation.The numerical solutions are obtained by using fifth order Runge-Kutta-Fehlberg method with shooting technique.The non-dimensional parameters on velocity,temperature and concentration profiles and also on local Nusselt number and Sherwood number are discussed.The results indicate that the local skin friction coefficient decreases as the value of the magnetic parameter increases whereas the Nusselt number and Sherwood number increase as the values of the Brownian motion parameter and magnetic parameter increase.展开更多
We develop a delay ordinary differential equation model that captures the effects of prophylactic vaccination, reactive vaccination, prophylactic treatment and reactive culling on the spread of foot and mouth disease ...We develop a delay ordinary differential equation model that captures the effects of prophylactic vaccination, reactive vaccination, prophylactic treatment and reactive culling on the spread of foot and mouth disease (FMD) with time delays. Simulation results from the study suggest that increasing time delay while increasing the control strategies decreases the burden of FMD. Further, the results reveal, that decreasing time delay while decreasing the control strategies increases the burden of FMD. The intermediate scenarios of either (i) increasing time delay while decreasing control or (ii) decreasing time delay while increasing control have intermediate effects on burden reduction. Thus, the implementation of effective control strategies combination can play an important role in mitigating against the FMD burden.展开更多
文摘In this paper magnetoconvective heat and mass transfer characteristics of a two-dimensional steady flow of a nanofluid over a non-linear stretching sheet in the presence of thermal radiation,Ohmic heating and viscous dissipation have been investigated numerically.The model used for the nanofluid incorporates the effects of the Brownian motion and the presence of nanopanicles in the base fluid.The governing equations are transformed into a system of nonlinear oidinary differential equations by using similarity transformation.The numerical solutions are obtained by using fifth order Runge-Kutta-Fehlberg method with shooting technique.The non-dimensional parameters on velocity,temperature and concentration profiles and also on local Nusselt number and Sherwood number are discussed.The results indicate that the local skin friction coefficient decreases as the value of the magnetic parameter increases whereas the Nusselt number and Sherwood number increase as the values of the Brownian motion parameter and magnetic parameter increase.
文摘We develop a delay ordinary differential equation model that captures the effects of prophylactic vaccination, reactive vaccination, prophylactic treatment and reactive culling on the spread of foot and mouth disease (FMD) with time delays. Simulation results from the study suggest that increasing time delay while increasing the control strategies decreases the burden of FMD. Further, the results reveal, that decreasing time delay while decreasing the control strategies increases the burden of FMD. The intermediate scenarios of either (i) increasing time delay while decreasing control or (ii) decreasing time delay while increasing control have intermediate effects on burden reduction. Thus, the implementation of effective control strategies combination can play an important role in mitigating against the FMD burden.