Homotopy Perturbation Method to Gliding Motion of Bacteria on a Layer of Power-Law Nanoslime with Heat Transfer

A two-dimensional undulating surface model for the motility of bacteria gliding on a layer of non-Newtonian nanoslime with heat transfer is constructed. The slime considered is that of the power–law nanofluid type and the viscous dissipation effect is taken into consideration. The governing equations are formulated and simplified under the assumptions of long wavelength and low Reynolds number. The solutions for temperature and nanoparticle profiles are obtained by using the homotopy perturbation method (HPM), and a closed form solutions for stream function. Numerical results for the behaviors of the stream function, velocity, temperature and nanoparticles as well as the reduced Nusselt number and Sherwood number with other physical parameters are obtained. Several graphs for these results of physical interest are displayed and discussed in detail.