Numerical analysis of heat source/sink on peristalsis of MHD carbon-water nanofluid in symmetric channel with permeable space

Nanoparticles of carbon has auspicious uses in a biomedical procedures like energy storage, catalyst supports, biomedical, in drug targeting system, in cancer treatment, in biological therapy, in blood diagnostic and coagulation systems. Motivated from these processes, peristalsis features have been accounted to study the mixed convection of the nanofluid, that is, Carbon-water in a vertical type channel with symmetric walls. Heat transport of magneto-hydro nanoliquid flow inside porous media is scrutinized. Single wall and multiwall Carbon nanotubes with water based nanoparticles are considered. Viscosity is prescribed as variable. The channel boundaries satisfy wall compliant and slip condition. Heat generation or absorption term is present. Assumptions of small Reynolds number along with long wave length are implemented for mathematical modeling. Transformed form of flow equations are evaluated by using numerical scheme. Through different parameters, graphical behaviors of temperature and velocity are displayed and elaborated. Moreover heat transfer rate is computed. Results revealed that for larger M, velocity is minimum at upper region and it grows in the lower region. The larger variation in K leads deceleration in the velocity in lower portion and an enhancement is observed in velocity in upper portion. Further, it is seen that the heat transfer rate is larger for the MWCNT nanoparticles case as compared to the case of SWCNT nanoparticles.