Free Convection Boundary Layer Flow from a Vertical Flat Plate Embedded in a Darcy Porous Medium Filled with a Nanofluid: Effects of Magnetic Field and Thermal Radiation

Effect of thermal radiation on engine oil nanofluid flow over a permeable wedge under convective heating

“…Mixed convective boundary layer flow past a wedge stuck in porous medium contained nanofluid in the existence of radiation effect has been numerically examined by Chamkha et al (2012). Finally, Ali Agha et al (2014) investigated free convective boundary layer flow over a plate placed vertically stuck in porous medium filled with nanofluid along the impacts of thermal radiation, convective boundary condition as well as MHD. Khan et al (2017) numerically investigated the MHD nanofluid boundary layer flow over a non-linearly stretching /shrinking wedge along non-linear effect of radiation.…”

“…The interface temperature is not known a priori but depends on the intrinsic properties of the system, namely, the thermal conductivity of the fluid and solid, respectively; and fourth, Newtonian heating, where the heat transfer rate from the bounding surface with a finite heat capacity is proportional to the local surface temperature and which is usually termed as conjugate convective flow. The comprehensive review of different kinds of heating boundary conditions is given in Mahanthesh et al (2017), Chamkha et al (2012), Ali Agha et al (2014), Khan et al (2017), Merkin (1994), Hussanan et al (2013, 2014) and Hussanan (2014).…”

Combined Effects of Thermal Diffusion and Diffusion-Thermo Effects on Transient MHD Natural Convection and Mass Transfer Flow in a Vertical Channel with Thermal Radiation

“…The radiative heat flux term in the problem is simplified by using the Rosseland diffusion approximation for an optically thick fluid according to [14], where σ is Stefan-Boltzmann constant and * κ the mean absorption coefficient.…”

“…Despite these shortcomings, the Rosseland approximation has been used with success in a variety of problems ranging from the transport of radiation through gases at low density to the study of the effects of radiation on blast waves by nuclear explosion [14].…”

“…To construct analytical solutions of Equations ( (11) to (13)) subject to (14), it is assumed that the radiation parameter is small and taking a power series expansion in the radiation parameter R employs a regular perturbation method.…”