Here peristalsis of Carbon nanotubes is performed between non-uniform propagating waves channel/tube. Viscosity of the material is considered dependent upon temperature here. Thermally radiative aspects are considered through linear term of heat flux. Channel boundaries retain the momentum and thermal slip characteristics. Iijima suggested physical quantities for single and multiple WCNTS are taken. Conservation principles (i.e. Mass, momentum and energy) are used to modeled the flow. Later on lubrication assumptions are utilized to simplified such equations. Exact solution for stream function, velocity and temperature is carried out. Further pressure rise per wavelength is plotted via numerical integration. Effective heat transfer rate is analyzed through bar charts.