Heat transfer analysis with temperature-dependent viscosity for the peristaltic flow of nano fluid with shape factor over heated tube

The present article address the nanofluid flow with the interaction of shape factor and heat transfer in a vertical tube with temperature-dependent viscosity. Flow study has been done in a flexible tube with low Reynolds number (Re<<0 i.e and long wavelength (δ<<0 i.e assumption. Mathematica software is employed to evaluate the exact solutions of velocity profile, temperature profile, axial velocity profile, pressure gradient and stream function. The influence of heat source/sink parameter (β), Grashof number (Gr) and the viscosity parameter (α) and nanoparticle volume fraction (ϕ) on velocity, temperature, pressure gradient, pressure rise and wall shear stress distributions is presented graphically. Three types of shape factor i.e cylinder platelets and bricks are discussed. Streamline plots are also computed to illustrate bolus dynamics and trapping phenomena which characterize peristaltic propulsion. It is seen that with an increment in Grash of number, Gr, nanofluid velocity is significantly increases i.e. flow acceleration is induced across the tube diameter. Once again the copper-methanol nanofluid in shape of platelets achieves the best acceleration.