The present article investigates the influence of Joule heating and chemical reaction on magneto Casson nanofluid phenomena in the occurrence of thermal radiation through a porous inclined stretching sheet. Consideration is extended to heat absorption/generation and viscous dissipation. The governing partial differential equations were transformed into nonlinear ordinary differential equations and numerically solved using the Implicit Finite Difference technique. The article analyses the effect of various physical flow parameters on velocity, heat, and mass transfer distributions. For the various involved parameters, the graphical and numerical outcomes are established. The analysis reveals that the enhancement of the radiation parameter increases the temperature and the chemical reaction parameter decreases the concentration profile. The empirical data presented were compared with previously published findings.
An analysis was made using the numerical approach of a transient laminar slip flow over an infinite vertical plate with ramped and constant temperatures in which chemical reaction is involved and thermal radiation had to be considered. Slip conditions have caused much concern because of their broad applicability in industry and chemical engineering. By following the finite element technique, the equation of momentum together with the equations of energy and species was numerically solved. The expressions for skin friction, Nusselt number, and Sherwood number are also derived. The variations in fluid velocity, fluid temperature, and species concentration are displayed graphically whereas numerical values of skin friction, Nusselt number, and Sherwood number are presented in tabular form for various values of the pertinent flow parameters. The findings indicate that the radiation has a noticeable impact to a minor intensity of R and is more apparent in the constant condition than in the ramped condition. Radiation and buoyancy effects produce a strong flow near the plate, which is accelerated by slip. Finally, it is shown logically and mathematically that when two buoyancies are opposite and equal in magnitude with equal solutal and thermal diffusions, the flow should be taken as stationary flow in the absence of radiation and the presence/absence of slip.
Two-dimensional transient hydrodynamic boundary layer flow of incompressible Newtonian nanofluid past a cone and plate with constant boundary conditions is investigated numerically. The Newtonian nanofluid model incorporates the effects of Brownian motion and thermophoresis. In order to solve the transformed unsteady, nonlinear coupled boundary layer equations numerically under the conditions, an implicit finite difference scheme of Crank-Nicolson type has been employed. Numerical results obtained for the velocity, temperature and nanoparticle concentration distributions, as well as the skin friction, local Nusselt number and local Sherwood number for several values of the parameters, namely the buoyancy ratio parameter, Prandtl number, Lewis number and nanofluid parameters. The dependency of the thermophysical properties has been discussed on these parameters. The results shown that the Brownian motion parameter increased, the local skin friction decreased while the local Nusselt number and local Sherwood number increased. However, they both decreased as the thermophoresis parameter increased. The approach used in optimizing the transient boundary layer heat transfer of nanofluid problems. The use of nanoparticles improve the heat transfer performance of the base fluids having poor thermophysical properties which are not able to meet the cooling rate of modern engineering equipments. Keywords Brownian motion • Thermophoresis • Nanofluid • Lewis number • Nusselt number • Cone • Plate List of symbols x, y Coordinates along the plate generator and normal to the generator respectively u, v Velocity components along the x-and y-directions respectively t Time t Dimensionless time
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.